KAORI Brazed Plate Heat Exchanger Double Wall Heat Exchanger
SIMULATION STUDY OF HYBRID GEOTHERMAL HEAT … · Thesis Prepared for Degree of MASTER OF SCIENCE...
Transcript of SIMULATION STUDY OF HYBRID GEOTHERMAL HEAT … · Thesis Prepared for Degree of MASTER OF SCIENCE...
APPROVED: Yong Tao, Major Professor and Chair of
the Department of Mechanical and Energy Engineering
Sandra Boetcher, Committee Member Junghyon Mun, Committee Member Costas Tsatsoulis, Dean of the College of
Engineering James D. Meernik, Acting Dean of the
Toulouse Graduate School
SIMULATION STUDY OF HYBRID GEOTHERMAL HEAT PUMP SYSTEM
IN THE HOT-HUMID CLIMATE
Jiang Zhu, B.E.
Thesis Prepared for Degree of
MASTER OF SCIENCE
UNIVERSITY OF NORTH TEXAS
August 2011
Zhu, Jiang, Simulation study of hybrid ground source heat pump system in
the hot-humid climate. Master of Science (Mechanical and Energy Engineering),
August 2011, 111 pp., 3 tables, 39 illustrations, references, 33 titles.
The beachfront hotel with hybrid geothermal heat pump system (HyGSHP),
located in the hot-humid climate, is simulated by TRNSYS in the thesis, and the
simulation results are validated by the measured data. The simulation of
alternative HVAC systems, complete ground source heat pump and conventional
air source heat pump, are included to conduct the comparative study with
HyGSHP based on the energy consumption and life cycle analysis. The
advantages and disadvantages of HyGSHP are discussed in the thesis.
Two ground source heat exchanger parameters, U-tube size and grout
materials, are investigated in order to study the effects on the ground heat
exchanger thermal performance. The preliminary work and results are shown in
the thesis.
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ACKNOWLEDGMENTS
I would like to thank my parents, my sister and my girlfriend for their
support and encouragement mentally.
I would like to extend my sincere gratitude and appreciation to my adviser,
Dr. Yongx. Tao, for his support, understanding, constructive guidance, and it is
my privilege to have the opportunity to work with Dr Tao, It was his inspiration,
integrity and understanding that got many things this far.
My sincere appreciation also extends to the members of my master thesis
committee, Dr. Sandra Boetcher and Dr. Junghyon Mun for their committed
service and support, their ideas, and suggestions that helped improve my work
significantly.
Last but not the least; I want to express my thanks to all other faculties and
classmates in the Mechanical and Energy Engineering Department for their
assistance and excellent lectures for my knowledge and life.
The findings in this paper are made possible by the financial support from
US Department of Energy Geothermal Program under the Award No.DE-
EE0002802, which is greatly appreciated.
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TABLE OF CONTENTS
Page
ACKNOWLEDGMENTS ....................................................................................... iii
LIST OF TABLES ................................................................................................ vii
LIST OF FIGURES ............................................................................................. viii
NOMENCLATURE ...............................................................................................xi
1. INTRODUCTION .............................................................................................. 1
1.1 Overview of Ground Source Heat Pump and Hybrid Ground Source
Heat Pump .......................................................................................... 2
1.2 Motivation of the Thesis ......................................................................... 7
1.3 Objective ............................................................................................... 8
1.4 Thesis Outline ........................................................................................ 8
2. LITERATURE REVIEW .................................................................................. 10
2.1 Hybrid Ground Source Heat Pump ...................................................... 10
3. MODEL OF HYBRID GROUND SOURCE HEAT PUMP SYSTEM ............... 17
3.1 TRNSYS .............................................................................................. 17
3.2 Building Model ..................................................................................... 19
3.3 Water to Air Heat Pump Component ................................................... 20
3.4 Closed Circuit Cooling Tower .............................................................. 23
3.5 Ground Heat Exchanger ...................................................................... 25
3.6 Pump ................................................................................................... 28
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4. CASE STUDY-SIMULATION OF HYRID GEOTHERMAL HEAT PUMP FOR BEACH FRONT HOTEL ................................................................................. 30
4.1 Introduction .......................................................................................... 30
4.2 Building Model ..................................................................................... 31
4.3 System Model ...................................................................................... 35
4.4 Summary of Validation and Building Energy ....................................... 40
4.5 Results and Discussion ....................................................................... 46
4.6 Conclusions and Future Work ............................................................. 53
5. PARAMETRIC STUDY OF GROUND SOURCE HEAT PUMP SYSTEM IN HOT HUMID CLIMATE .................................................................................. 55
5.1 Introduction .......................................................................................... 55
5.2 Methodology and Simulation Model ..................................................... 58
5.3 Preliminary Results .............................................................................. 62
5.4 Future Work ......................................................................................... 64
6. CONCLUSIONS AND RECOMMENDATIONS .............................................. 65
6.1 Conclusions ......................................................................................... 65
APPENDIX A INPUT SUMMARY FOR THE HYGSHP SIMULATION MODEL .. 69
APPENDIX B LISTING OF 20 TONS WATER TO AIR SOURCE HEAT PUMP COOLING CAPACITY PERFORMANCE DATA ............................................ 72
APPENDIX C LISTING OF 20 TONS WATER TO AIR HEAT PUMP HEATING CAPACITY PERFORMANCE DATA .............................................................. 76
APPENDIX D LISTING OF 20 TONS WATER TO AIR HEAT PUMP COOLING CAPACITY CORRECTION PERFORMANCE DATA .................................... 80
APPENDIX E LISTING OF 20 TONS WATER TO AIR HEAT PUMP HEATING CAPACITY CORRECTION PERFORMANCE DATA ..................................... 85
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APPENDIX F LISTING OF 20 TONS AIR SOURCE HEAT PUMP COOLING CAPACITY PERFORMANCE DATA .............................................................. 87
APPENDIX G LISTING OF 20 TONS AIR SOURCE HEAT PUMP COOLING CAPACITY PERFORMANCE DATA .............................................................. 97
APPENDIX H LISTING OF INDOOR WATER SOURCE HEAT PUMPS IN EACH THERMAL ZONE ......................................................................................... 106
REFERENCES ................................................................................................. 108
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LIST OF TABLES
Page
Table 4-1 Summary of Life Cycle Analysis ......................................................... 51
Table 5-1 Benchmark of Ground Heat Exchanger Specification ........................ 61
Table 5-2 Thermal Conductivities of Typical Grouts and Backfills ..................... 62
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LIST OF FIGURES
Page
Figure 1-1 Open loop system. .............................................................................. 3
Figure 1-2 Horizontal loop system. ....................................................................... 3
Figure 1-3 Vertical loop system. ........................................................................... 4
Figure 1-4 Surface water loop system .................................................................. 4
Figure 1-5 Schematic of a typical vertical ground source heat pump system. ...... 5
Figure 1-6 A schematic of a hybrid ground source heat pump system, with cooling tower. ................................................................................................... 6
Figure 3-1 A sample TRNSYS map in the simulation studio ............................ 18
Figure 3-2 Geometric and thermal zone in Google SketchUP . .......................... 19
Figure 3-3 The zone window in the TRNBUILD . ................................................ 20
Figure 3-4 Heat pump schematic . ...................................................................... 21
Figure 3-5 Standard layout of the ground source heat pump, ground heat exchanger (GHX) . ......................................................................................... 22
Figure 3-6 Variables flow chart of the type 504 water source heat pump . ......... 23
Figure 3-7 A closed circuit cooling tower (Picture from www.baltimoreaircoil.com). ....................................................................................................................... 23
Figure 3-8 Flowchart of the basic simulation operation of CCCT component model . ........................................................................................................... 25
Figure 3-9 Schematic view of vertical ground heat exchanger . ......................... 26
Figure 3-10 Schematic of vertical ground heat exchanger . ............................... 27
Figure 3-11 Flowchart of operation of Type 557 vertical ground heat exchanger. ....................................................................................................................... 28
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Figure 4-1 Lighting consumption schedule (KJ) in TRNSYS. ............................. 32
Figure 4-2 Equipment schedule (KJ) in TRNSYS. .............................................. 32
Figure 4-3 Southwest view of building. ............................................................... 33
Figure 4-4 Southwest view of simulation building model. ................................... 33
Figure 4-5 Northeast view of building (www.springhillsuitespensacolabeach.com) ....................................................................................................................... 34
Figure 4-6 Building model by GOOGLE SKTCHUP ........................................... 34
Figure 4-7 Schematic diagram the existing HyGSHP configuration. ................... 36
Figure 4-8 TRNSYS map for HyGSHP system. .................................................. 37
Figure 4-9 TRNSYS map for ASHP system........................................................ 40
Figure 4-10 Validation of average entering water temperature to heat pumps. .. 42
Figure 4-11 Validation of DHW and SPA heating consumption. ........................ 43
Figure 4-12 Validation of building calendar energy consumption. ...................... 44
Figure 4-13 The simulated energy consumption composition. ........................... 45
Figure 4-14 The statistic from utility company. ................................................... 45
Figure 4-15 Plot of hourly ground temperature and exiting fluid temperature of ground heat exchanger for HyGSHP. ............................................................. 48
Figure 4-16 Plot of hourly ground temperature and exiting fluid temperature of ground heat exchanger for GSHP. ................................................................. 48
Figure 4-17 Comparison of annual system energy consumption among three types of system. ............................................................................................. 50
Figure 5-1 Building geometry created by Google Sketchup. ............................. 58
Figure 5-2 The cooling and heating load diagram. ............................................ 59
Figure 5-3 GSHP system map in TRNSYS. ....................................................... 60
Figure 5-4 Heat pump consumption with different pipe sizes. ............................ 63
Figure 5-5 Heat pump consumption with different grout and backfills. ............... 63
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NOMENCLATURE
a Thermal diffusivity [m²/s]
C Volumetric heat capacity [J/m3K]
EWT Entering water temperature to the heat pump
ℎ𝑎𝑖𝑟 Enthalpy of entering ambient air [KJ]
ℎ𝑠𝑎𝑡 Enthalpy of saturated air [KJ]
��𝑎𝑖𝑟 Mass of air flow [Kg/h]
q Heat rejection per unit volume [J/m3]
Q Heat transfer rate (Btu/hr-ft [W/m])
𝑄𝑓𝑙 Rate of heat transfer in the CCCT [KJ/h]
r1 Radius of outer boundary [inch]
rb Outer pipe radius [inch]
Rb Thermal resistance per unit pipe length [K/(m·W)]
Tf Fluid temperature[℃(℉)]
Tm Mean temperature[℃(℉)]
V Volume (ft3 [m3])
y Empirical constant, 0.6
𝜆𝑑𝑒𝑠𝑖𝑔𝑛 Constant based on design condition
λ Thermal conductivity [W/(m·K)]
ω Relative humid [% (base 100)]
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CHAPTER 1
INTRODUCTION
Due to the increasing seriousness of the threats of climate change and the
energy shortage, and what’s more, with the facts that: the building energy
consuming 40% percents of demanding energy, and the HVAC (heating,
ventilation, and air conditioning) taking up of more than half of the building
energy consumption [1], the innovation and improvement in HVAC is required to
help to relieve the tension and pressure of energy depletion and environment
protection issues.
In recent decades, the ground source heat pump as one of the “green
HVAC” receives more and more attention from broad view due to the renewable
energy conservation from ground source and their energy savings potential; The
geothermal heat pump system can save as much as 50% of energy that the
conventional heating and cooling system does [2]. According to the report from
the department of energy [3], in 2006, there are around 64,000 geothermal heat
pump units which were sold; the residential house took up 53% of the total and
the commercial applications takes 47%. And more and more studies validate and
confirm these advantages.
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1.1 Overview of Ground Source Heat Pump and Hybrid Ground Source Heat
Pump
Ground source heat pump (GSHP) (sometimes referred as geothermal heat
pump, ground coupled heat pump and so on) with the high efficiency, reject heat
during cooling time and extract heat during heating time from the ground.
Compared with air source heat pump, it is significantly efficient using the deep
ground as the heat source or heat sink instead of the ambient air. However, the
high initial cost and lack of design guideline have been two major obstacles in the
applications. And generally the GSHP can be classified as four main
configurations according to the loop types, each with its own strengths and
weaknesses: open loop system (Figure 1-1), horizontal loop system (Figure 1-2),
vertical loop system (Figure 1-3), surface water loop system (Figure 1-4) [4].
Scope of the research is limited to vertical, closed loop ground source system,
because most of commercial buildings are using this system. The schematic of
the vertical ground coupled system is shown in Figure 1-5 [5], and the
components are introduced in chapter 3 in details.
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Figure 1-5 Schematic of a typical vertical ground source heat pump system.
Nevertheless, in the cooling or heating dominated location, the buildings
have a great imbalance between rejection heating and extraction heating in the
ground. This will cause the ground temperature increase dramatically in the
cooling dominated location and decrease significantly in the heating dominated
location over the years of system running. Then high (low) entering water
temperature will decrease the heat pump performance adversely due to
prolonged cooling (heating). Furthermore, with severely undersized ground heat
exchangers, entering fluid temperature to the heat pump will be out of the range
of the heat pump and make the heat pump fail.
One solution is increasing the total length of the installed ground loop heat
exchanger and/or increasing the spacing between the ground loop heat
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exchanger boreholes. However, it will significantly increase the initial cost, and
also it requires more land area.
The second solution is using the innovative hybrid ground source heat pump
system. Hybrid geothermal heat pump systems (HYGSHP) is a important further
development system which combines the ground source heat pump system with
one supplemental fluid cooler (cooling tower) or one auxiliary heat extraction
device (boiler) in order to decrease the large initial cost of complete ground
source heat exchanger and maintain a higher coefficient of performance during
prolonged running period [6]. The schematic of Hybrid geothermal heat pump
system in this research is provided in Figure 1-6 .The component of composition
and working function will be introduced in details in chapter 3.
Figure 1-6 A schematic of a hybrid ground source heat pump system, with
cooling tower.
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In this thesis, both systems are simulated based on a building which is
located in the front of beach, conventional air source heat pump system is also
included. And the building model is created based on the blue print and gathered
information from contractor, the simulation is validated based on the measure
data from the Al Barfield paper [7].The simulation tool –transient simulation
package TRNSYS [8] is employed and introduced in the chapter 3 also. The life
cycle analysis is employed to conduct the economical analysis.
Two parameters (U-tube sizes and grout thermal conductivity) involved in the
ground heat exchanger design are studied in this thesis, in order to help
understand the importance of these two parameters, a list of simulation cases is
conducted.
1.2 Motivation of the Thesis
The thesis topic comes from the funded topic Recovery Act – Geothermal
Technologies Program: Ground Source Heat Pumps which is supported by the
department of energy, based on the existing hybrid geothermal heat pump
system which is included in the data gathering in our project, the further analysis
about this building is needed to increase our understanding of the working cycle
of hybrid geothermal heat pump system. The existing hybrid geothermal heat
pump system which is located in Florida is selected as a research building
scenario in hot-humid location.
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1.3 Objective
The key objectives of this thesis are:
• To simulation the hybrid geothermal heat pump system using the actual
building which is the hotel in the Florida by TRNSYS, and the building model
is created by the GOOGLE SKETCHUP [9].
• To validate the simulation system model in the TRNSYS according to the
available information from the contractor.
• To conduct the comparative study among three types system: hybrid ground
source heat pump system (HyGSHP), air source heat pump system (ASHP),
complete ground source heat pump system, and investigate the advantage
and disadvantage of HyGSHP system in the Florida area where the building
is cooling dominated.
• To study on the parameters based on the ground thermal heat exchanger,
such as the u-tube size, and thermal conductivity of grout which play a
important role of the energy savings of the whole system.
This thesis is arranged as a manuscript-based thesis. Therefore, each of the
studies is presented as a chapter, with relative introduction, modeling process
and conclusion.
1.4 Thesis Outline
Chapter 2 begins with a brief review of selected literature pertaining to
ground heat exchanger and its parameters, hybrid geothermal heat pump.
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Chapter 3 describes modeling components which are used in the
simulation, such as ground heat exchanger, water to air heat pump, close circuit
cooling tower and pump.
Chapter 4 includes comparative study among HyGSHP, ASHP and
complete GSHP systems. The energy simulation processes are described, and
the calibrations in details are also included. The chapter also includes the life
cycle analysis for three type systems.
Chapter 5 describes parametric study on the ground heat exchanger in hot
humid climate. In this chapter, the sample building with GSHP system is created
to investigate the effects of these parameters in TRNSYS. The results are
discussed based on the energy consumption and cost analysis.
Finally, the main conclusions are made from Chapter 4 and 5 and some
recommendations for possible future extension of this work are presented in
chapter 6.
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CHAPTER 2
LITERATURE REVIEW
This chapter intends to give a brief overview of useful literatures in
understanding the simulation of HyGSHP system.
2.1 Hybrid Ground Source Heat Pump
The ASHRAE Ground Source Heat Pump Engineering Manual [6]
discusses the advantages of hybrid ground source heat pump applications based
on the economical benefit and land area limitation compared with complete
ground source heat pump system. It also discusses the design and sizing
procedure of ground loop heat exchanger and supplemental heat rejecters for
cooling dominated building. The procedure suggests that the capacity of ground
heat exchanger should be selected based on the average of monthly heating and
cooling load instead of the peak load. The supplemental heat rejecters will be
sized to meet the unmet cooling load. It also suggested that the usage of
supplemental heat rejecter during night hours is preferred for closely spaced
vertical boreholes. The guidelines are included in the manual about the
installation of supplemental heat rejecter into the internal pipe, the plate heat
exchanger is suggested when the open loop cooling tower is used. A few options
on the control strategies are mentioned, such as, the set point control based on
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the upper limit of entering fluid temperatures, operation during night hours for
cold storage and the year around operation in the warmer climates.
Kavanaugh and Rafferty [10] suggest a few HyGSHP alternatives based
on peak block load of design condition. It presents that the needs of HyGSHP is
emphasized due to the high initial cost of long ground loop lengths to meet the
total building heating and cooling by ground. And the peak block load is used to
size supplemental heat rejecters which capacity is calculated based on the
difference between the ground loop heat exchanger lengths for cooling and
heating. It is recommended that the parallel piping method between main loop
and supplemental heat rejecter is preferred when the flow rate in supplement
heat rejecter is much higher that the ground loop flow rate.
Kavanaugh [11] introduces a revised and extended procedures based on
existing design ones as recommended in ASHRAE [6] and in Kavanaugh and
Rafferty [10]. The revised design procedure addresses issues on system controls,
piping arrangements (requirements), equipment efficiency, freeze protection,
maintenance, ground heat exchanger and heat buildup. The revised method
proposes a way for balancing the heat rejected and extracted from the ground
with auxiliary heat rejecter or extractor on an annual basis in order to limit heat
pump performance degradation due to the heat buildup (or ground temperature
increases). To calculate the required annual operating hours of supplemental
heat rejecter needed to balance the heat rejection and extraction from the ground,
the set point control of the ground loop temperature (a typical range of 80℉ to
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90℉; 27℃ to 32℃) is used. The revised method is then applied to a four-story
office building for HyGSHP system which is located in three different climates (in
order to research the appropriateness of the design method). The author
considers the cost analysis including installation cost and operation cost and
concludes that the HyGSHP is more economically valuable in warm and hot
climates where the cooling loads are dominated. At last, the author mentions
that HyGSHP is less attractive in moderate climate regions and it is hard to justify
for cold climate for economic value except for the building with high internal loads.
Phetteplace and Sullivan [12] present a performance case of a 24,000
ft 2(2,230m2) military base administration building, located in Fort Polk, LA that
uses a HyGSHP system. The HyGSHP system described in the study uses 70
vertical closed-loop boreholes, each 200 ft (61 m) deep with 10 ft (3.3 m)
spacing. The 22 months performance data is collected in the paper. And the
ground loop is sized to meet the peak heating requirements of the building, and a
274 KW (78 tons) is selected as the supplemental heat rejecter which is
controlled based on the set point control which activates the cooling tower when
the heat pump exiting fluid is over 97℉ (36℃ ) and shuts off it when the
temperature falls below 95℉(35℃). From the monitored data, it shows that heat
rejection to the ground is about approximately 43 times higher than the amount of
heat extraction from ground. This indicates that the ground will have a large heat
buildup from the significant imbalance between heat rejection and heat extraction
in the ground. The loop temperature reaches 40.9℃ due to the heat buildup,
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which is attributed to high differential controller set point, according to increase
the operation hours of cooling time (decrease the controller set point), the heat
buildup will dissipate. From the report, the consumption of the major system
components is presented: heat pumps account for 77% of the total energy, 19%
for circulating pumps, 3% for cooling tower fans and 1% for cooling tower pump.
Singh and Foster [13] reports the first cost savings that resulted from using
a HyGSHP compared to the conventional closed loop source heat pump system.
The system is designed on the 80,000 ft 2 Paragon Center building located in
Allentown, PA and an 85,000 ft 2 elementary school building in West Atlantic City,
NJ. The system in Paragon Center building consists of 88 boreholes, each 125 ft
deep and a maximum capacity 422KW (120tons) closed-circuit cooler. The
system which is designed on elementary school expansion building in West
Atlantic City consists of 66 boreholes, each 400 ft deep and the 411 KW (117
tons) closed-circuit cooler. And it is an example of a hybrid system where the
available space for the borehole field was limited for complete ground heat
exchanger. The report indicates a significant initial cost savings is achieved, but
the operating and maintenance costs go higher.
Gilbreath [14] presents a more detailed study on the HyGSHP system in
Paragon Center, and attempts to establish methods for monitoring system
according to the measurement of energy demand, energy consumption, and loop
temperatures. And the paper investigates the impact of various control options
based on the percentage assistance of the supplemental heat rejecter in
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rejecting excess heat. And it also discusses the effects of heat recovery and fluid
flow control. The comparison between HyGSHP and complete GSHP without
cooling tower is conducted based on installation and operating cost, the results
quantify potential cost savings due to HyGSHP.
Yavuzturk and Spitler [5] present a comparative study to investigate the
several control strategies by using a short time step simulation model. The
system designed on 14,205 ft2 office building consists of an open loop cooling
tower and a plate heat exchange which is to transfer heat between two loops.
Two different climatic conditions is studied based on 20 year life cycle analysis.
And the advantage and disadvantage of several control strategies for HyGSHP,
such as set point control (operating the supplemental heat rejecter when the
entering or exiting water temperature exceeds 35.8 °C (96.4 °F)), differential
temperature control (operating the supplemental heat rejecter when the
temperature difference between heat pump entering water temperature and
ambient wet bulb temperature exceeds a set value) and a scheduled control
(operation the supplemental heat rejecter based on the season or set time of the
day), is discussed in the study. The results in the thesis indicates that for all the
control strategies, the HyGSHP saves a significant initial cost due to relative the
shorter ground loop lengths compared with the complete ground source heat
pump system. The further saving will be obtained from the smaller circulating
pump. The authors conclude that the differential control strategy own the
maximum efficiency when the most favorable ambient condition is used.
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Al Barfield [7] reports a Hybrid geothermal heat pump system design and
measurement for a beachfront hotel. The innovate HyGSHP system is
constituted by 98 boreholes at 200 ft depth and 150 tons closed circuit cooling
tower in parallel with the loop of ground heat exchanger. The system serves
three 64KBth/H water-to-water geothermal heat pumps for domestic water heat,
two 390 kBtu/h water-to-water geothermal heat pumps for swimming pool and
spa heating, 300 tons of room unitary geothermal heat pumps. And what’s more,
it uses two 100% outside air rooftop heat pump to supply the fresh air in order to
maintain the indoor air quality. In the paper, the author presents the measure
data for the first year of system operation including: domestic hot water gallons
and water heating energy, rooftop 100% outside air conditioning heat pumps
energy, main geothermal closed-loop pumping energy, closed loop evaporative
fluid cooler tower energy, average monthly return water temperature and so on.
Hackel and Thornton [15] present a simulation study on the HyGSHP
based on a sample building with assumed parameters in order to create a
HyGSHP model and optimizer to help practicing engineer to appropriately size
the ground heat exchanger, supplemental heat rejecter or extractor, in cooling or
heating dominated climate. And the author also creates a life cycle analysis
model in the TRNSYS to investigate the lowest economic combination of
HyGSHP. According to most of simulation cases based on a wide range of
climates and building types, several conclusions are made by the author: First, in
cooling dominated climate, the optimize size of the ground heat exchanger
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should meet the heating load if the building, the supplemental heat rejecter is
sized based on the peak cooling load that is not met by GHX. The best control
strategy is the one where the cooling tower is operated at low speed whenever
the loop fluid temperature is above the ambient temperature by a set value.
Second, in the heating dominated climate, the supplemental heating device
which is put downstream of GHX can provide best operation efficiency and life
cycle saving. And according to the study, the optimal size of ground heat
exchanger in heating dominated climate is suggested to meet the cooling loads
of the building; the supplemental device will cover the unmet heating load.
Furthermore, the best control strategy is the one where fluid flows through the
ground heat exchanger whenever the temperature rises above or fall below
prescribed temperature set points with the boiler used to maintain the fluid at the
minimum allowable heat pump entering water temperature.
According to the reviewed literature, there are a few of information available
on the simulation study and design suggestions, but few of them mentioned the
validation procedures, and also there is limited literature study on the parametric
study on the ground heat exchanger. This project is providing a HyGSHP case
study with well validated building model and preliminary parametric study on the
ground heat exchanger.
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CHAPTER 3
MODEL OF HYBRID GROUND SOURCE HEAT PUMP SYSTEM
The chapter gives an overview of the hybrid system model in TRNSYS
(software name) in order to understand the working function in the transient
simulation software package. The hybrid ground source heat pump (HyGSHP) in
TRNSYS is made up of many different components models, which representing a
discrete mechanical part or physical effect in a real HyGSHP system. The
components, such as building model, heat pumps, ground heat exchanger, and
cooling tower etc, are introduced.
3.1 TRNSYS
TRNSYS is a modular simulation program. The component is described as
a black-box with mathematical equation, and user need to specify the inputs,
outputs, parameters, etc. And TRNSYS components are often referred to as
Types (e.g. the Multiple-zone building model is known as Type 56).
And the model of the program is extremely flexible for the user to specify the
components that constitute the system and define the connection way in the
simulation studio which is the main graphic interface, from the simulation studio,
the components can be drag and drop from the TRNSYS component library [16].
Furthermore, the individual components can be modified for different simulation
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utilizations. And The TRNSYS environment is suitable for detailed analysis of
transient behavior of systems.
Each component in the simulation studio is assigned a UNIT number which
is a reference number that TRNSYS uses to keep track of the instance of the
component in conveying the information about the component to TRNSYS [16].
Figure 3-1 shows a sample of TRNSYS map in the simulation studio.
Figure 3-1 A sample TRNSYS map in the simulation studio [17].
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3.2 Building Model
To easily input the geometric information into the building model (it is
referred as type 56 in the simulation studio), the interface plug-in software
TRNSYS 3D is developed for the Google SketchUp (shown in Figure 3-2) which
will help the user to create the 3D geometric surface information, required for the
new detailed radiation calculations in the simulation and the thermal zones [17].
The thermal zones which are divided in the Google Sketchup are the zones of
different thermal behavior of building .The non-geometric information, such as
materials, constructions, HVAC, thermal gain, etc is defined in the TRNBUILD
(shown in Figure 3-3).
Figure 3-2 Geometric and thermal zone in Google SketchUP [18].
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Figure 3-3 The zone window in the TRNBUILD [18].
During the simulation, the TRNBUILD program generates two files that will
be used in TYPE 56 component (multiple zones) according to reads in and
processes a file containing the building description. And the building description
and options within the TRNBUILD program determines and generates
information for the inputs and outputs of TYPE 56 [17].
3.3 Water to Air Heat Pump Component
A heat pump is a device that transfers energy from a low temperature
source to a higher temperature source, mainly including the components of
compressor, evaporator, reversing valve etc [19]. Figure 3-4 shows a schematic
diagram of a heat pump system. It could be either to heat or cool depending on
the refrigerant flowing direction. And the fan is actually included in the heat pump
model which is not shown in the schematic.
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Figure 3-4 Heat pump schematic [20].
The ground source heat pump is a heat pump that uses the ground as the
heat source or heat sink and transfers heat between fluid loop and conditioned
thermal zones. The Figure 3-5 shows the working function of the system with
building. TRNSYS provides several ways to simulate a water source heat pump,
in this study. Type 504 is selected as the water source heat pump which
interaction between the loop fluid and indoor air is based on the user supplied
performance catalog data (appendix A shows the catalog files in this study), the
catalog data is obtained from manufacture’s performance data including the
cooling capacity and sensible capacity, heat capacity and power consumption of
the unit as a function of air flow rate, entering water temperature, dry-bulb and
wet bulb temperature [20].
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Figure 3-5 Standard layout of the ground source heat pump, ground heat
exchanger (GHX) [6].
Figure 3-6 shows the schematic view of the flow chart that the information and
variables are implemented, when the Type 504 is called by TRNSYS: First, the
TRNSYS will first determine whether it is cooling or heating based on the control
signal from the Type 108 (5 stages room thermostat). Second, a subroutine is
called to gather all the psychometric information, such as ambient temperature
and humidity, return air temperature and humidity, supply air temperature and
humidity etc. Third, after internal calculation, the output can be obtained based
on the interpolation from the user supplied performance data. [21] (For the more
details of the simulation operation, please see the reference [21] page34-37)
23
Figure 3-6 Variables flow chart of the type 504 water source heat pump [6].
3.4 Closed Circuit Cooling Tower
Figure 3-7 A closed circuit cooling tower (Picture from www.baltimoreaircoil.com).
The closed-circuit cooling tower (CCCT) is a device which cools a liquid
stream by evaporating water that is sprayed on the outside of coils containing the
working fluid (shown in Figure 3-7) . In TRNSYS, Type510 models the closed-
circuit cooling tower based on the algorithm developed by Zweifel et al. [22], In
24
the algorithm, the temperature of the outlet fluid of CCCT is equal to the average
temperature of the spay water, and the author prove that it is a good
approximation for all cooling towers. The cooling tower model require user to
define the one set of design condition, and the model algorithm will extrapolates
for other off-range condition based on the design conditions.
In the CCCT model, ℎ𝑠𝑎𝑡�𝑇𝑓𝑙.𝑜𝑢𝑡� is calculated by using an adjusting 𝑇𝑓𝑙.𝑜𝑢𝑡
method in such way until energy balance that the enthalpy of saturated air at
𝑇𝑓𝑙.𝑜𝑢𝑡 is equal to the enthalpy of outlet air as shown in equation (3-1)
ℎ𝑠𝑎𝑡�𝑇𝑓𝑙.𝑜𝑢𝑡� = ℎ𝑎𝑖𝑟(𝑇𝑎𝑖𝑟.𝑖𝑛) + 𝑄𝑓𝑙
𝑚𝑎𝑖𝑟(1−𝑒 −(𝜆𝑑𝑒𝑠𝑖𝑔𝑛�
��𝑎𝑖𝑟��𝑎𝑖𝑟,𝑑𝑒𝑠𝑖𝑔𝑛
�𝑦−1
)
(3-1)
Where,
ℎ𝑠𝑎𝑡: Enthalpy of saturated air
ℎ𝑎𝑖𝑟: Enthalpy of entering ambient air
𝑄𝑓𝑙 : Rate of heat transfer in the CCCT
��𝑎𝑖𝑟: Mass of air flow
y: empirical constant, 0.6
𝜆𝑑𝑒𝑠𝑖𝑔𝑛: Constant based on design condition (shown in equation 3-2)
And 𝜆𝑑𝑒𝑠𝑖𝑔𝑛 = ln[ ℎ𝑠𝑎𝑡�𝑇𝑓𝑙.𝑜𝑢𝑡,𝑑𝑒𝑠𝑖𝑔𝑛�−ℎ𝑎𝑖𝑟�𝑇𝑎𝑖𝑟,𝑖𝑛,𝑑𝑒𝑠𝑖𝑔𝑛�
ℎ𝑠𝑎𝑡�𝑇𝑓𝑙.𝑜𝑢𝑡,𝑑𝑒𝑠𝑖𝑔𝑛�−ℎ𝑎𝑖𝑟�𝑇𝑎𝑖𝑟,𝑜𝑢𝑡,𝑑𝑒𝑠𝑖𝑔𝑛� (3-2)
And then the output outlet fluid temperature, 𝑇𝑓𝑙.𝑜𝑢𝑡 for any off design condition
can be calculated based on this algorithm above with the inputs such as, inlet air
25
temperature,𝑇𝑎𝑖𝑟,𝑖𝑛, relative air humidity,𝑅𝐻𝑎𝑖𝑟,𝑖𝑛, inlet fluid air temperature,𝑇𝑓𝑙𝑜𝑤,𝑖𝑛,
inlet mass flow rate, ��𝑓𝑙 and fan control signal. The operation process is shown
in the flowchart (Figure3-8).
Figure 3-8 Flowchart of the basic simulation operation of CCCT component
model [21].
3.5 Ground Heat Exchanger
The ground heat exchanger (shown in Figure 3-9) (as previously mentioned,
only vertical ground heat exchanger will be discussed in this study) is the most
important part for the HyGSHP simulation. For the typical U-tube ground heat
exchanger construction, firstly, a vertical borehole is drilled into the deep ground.
Secondly, the U-TUBE ground heat exchanger will be pushed into the borehole,
the surrounding gab between the U-TUBE and borehole will be filled with the
grout or virgin soil.
26
Figure 3-9 Schematic view of vertical ground heat exchanger [6].
The configuration of vertical GHX field is illustrated in Figure 3-9. In typical
U-tube ground heat exchanger applications, the total length of ground heat
exchanger has the largest effect on the initial cost and the future operation
efficiency that impacts on the heat pump entering water temperature.
In TRNSYS, Type 557 [23] is created for the model of vertical ground heat
exchanger which thermal interaction between fluid loop and ground based on the
duct storage (DST) theory. The DST model [24] assumes that the boreholes are
placed uniformly in the cylinder storage and the transient temperature distribution
27
is calculated from three parts: a global temperature solution ( at the scale of
entire field), a local solution(at the scale of single borehole) and a stead-flux
solution( interaction between both scales). The global and local problems are
solved by the explicit finite difference method, whereas the steady flux solution is
obtained by the analytical solution. The total temperature is then calculated by
the superposition of these three parts [24].
Figure 3-10 Schematic of vertical ground heat exchanger [23].
There are lots of parameters needed to specify in the TYPE 557 in order to
obtain the output. Figure 3-11 illustrate the flowchart of the operation. The details
of calculation processes for the GHX model are provided in the reference [6]
pages 39- 40.
28
Figure 3-11 Flowchart of operation of Type 557 vertical ground heat exchanger.
3.6 Pump
Based on existing HyGSHP system, the constant speed water pump is
selected and sized in the simulation model. The pump is mainly used to circulate
the fluid in the fluid loop. Type 3b component model in TRNSYS is simplified to
TYPE 557
Vertical GHX
DST FUNCTION
Storage volume
Borehole depth
Header depth
No. of boreholes
No. of boreholes
Borehole radius
Borehole radius
kstorage
kgroute
kpipe
Pipe size
Pipe size
Cstorage
Cfluid
fuild properties
Tstorage
Tstorage
Minflow
Tinlet minlet
Tout Tstorage QN
Mout
29
control of flow rate of entire fluid loop. And the flowrate in the pump parameter list
must be specified in order to determine the fluid rate in the fluid loop [25].
30
CHAPTER 4
CASE STUDY-SIMULATION OF HYRID GEOTHERMAL HEAT PUMP
FOR BEACH FRONT HOTEL
This chapter outlines the description of building model, simulation model of
hybrid ground source heat pump (HyGSHP), ground source heat pump (GSHP)
and air source heat pump (ASHP), input parameters, validation processes and
life cycle analysis.
4.1 Introduction
A hotel with hybrid ground source heat pump system in the Pensacola is
simulated by the transient simulation software package TRNSYS. The validation
is conducted to verify the simulation result using the monthly average entering
water temperature to heat pump and monthly facility consumption data. The
building model with alternatives HVAC systems, complete ground source heat
pump with lengthened ground heat exchanger and conventional air source heat
pump are simulated also. The results are presented to show the advantages and
disadvantages of HyGSHP compared with the other two systems in terms of
energy consumption, total cost analysis and the system life time
What’s more, the hotel is installed with hybrid ground source heat pump due
to limitation of the land area according to descriptions in the designers’ report [7].
But in order to investigate the advantages and disadvantages of HyGSHP
31
compared with complete ground source heat pump system, it is assumed that
there is enough land area for a complete ground source heat pump system.
4.2 Building Model
The hotel which to be simulated is located on a barrier island on the Florida
Gulf coast, and there are 117 room facilities with large public parking area, a
meeting room, a large dining room and a limited breakfast area which is in total
80,145𝑓𝑡2, and the hotel includes some amenities such as one health club, two
large outdoor heated pools, one outdoor heated spa and a large, shallow
children’s pool [7].
Based on the blueprint and the images, the building model is created using
GOOGLE SKETCHUP which is a free 3D modeling program [2]. Figures 4-3, 4-4,
4-5 and 4-6 show the comparative views of the real building and the simulation
building model. Several considerations are made when the building model are
created in Google Sketchup and TRNSYS software package.
1. The building is divided into 9 thermal zones, which is served by one unitary
equal capacity heat pump units instead of several separate small capacity heat
pumps.
2. Building materials (walls, roofs and windows) are specified based on the
blueprints. Lighting and equipment schedule are properly assumed as shown in
Figures 4-1 and 4-2.
32
Figure 4-1 Lighting consumption schedule (KJ) in TRNSYS.
Figure 4-2 Equipment schedule (KJ) in TRNSYS.
3. The total number of occupants in the hotel is set as 300, and lighting and
equipment load is set as 1 W/𝑓𝑡2 and 1.1 W/𝑓𝑡2 based on the ASHRAE standard
90.1.
4. Infiltration is set as 1 1/h based on the beachfront location and the fresh air
requirement.
33
5. Thermostat set points of 21℃ heating and 23℃ cooling are used in all zones
during all days.
Figure 4-3 Southwest view of building.
(Picture from www.springhillsuitespensacolabeach.com)
Figure 4-4 Southwest view of simulation building model.
34
Figure 4-5 Northeast view of building (www.springhillsuitespensacolabeach.com)
Figure 4-6 Building model by GOOGLE SKTCHUP
35
4.3 System Model
The hotel includes 117 room unitary heat pump units (180 tons in total), two
100% outside air rooftop air conditioners ,three 64KBtu/h water to water heat
pumps for domestic heat water and two 390 KBtu/h water to water heat pump for
swimming pool and spa heating equipments.
Because of the limited installation field area available for the geothermal
heat exchanger loop, the designer selected a 150 tons closed-loop evaporative
fluid cooler to parallel the ground-coupled loop field which owns 98 boreholes
with 200 depths and 1” U-tube to compose the HYGSHP system.
In order to simulate the HyGSHP system, the transient simulation software
package TRNSYS is employed to simulate the short time step for one year
period simulation (5 minutes is set as the simulation time step), and the hourly
typical meteorological year for the Pensacola is used. The HVAC system worked
with the well validated building model can predict the enter water temperate, the
system profile and the building energy consumption etc. And the building model
and all the heat rejecting and extraction system like water to water heat pumps,
air source heat pumps, cooling tower are included in the simulation system.
36
Figure 4-7 Schematic diagram the existing HyGSHP configuration.
The diagram of HyGSHP in the hotel is shown in Figure4-7; the cooling
tower is activated when the entering water temperature is over 29 ℃ . The
components such as closed circuit cooling tower, vertical ground heat exchanger,
water to air heat pump etc is included in the TRNSYS model. The TRNSYS map
for this hotel HyGSHP system is shown in Figure4-8. Figure4-9 shows the same
building model with conventional HVAC system for the purpose of comparison
with the existing HyGHSP system. Another TRNSYS map for GSHP system isn’t
listed in the paper due to using the similar components with HyGSHP system.
37
Figure 4-8 TRNSYS map for HyGSHP system.
The components which are used in the simulation model are listed below:
TYPE 56-Multi-zone building
TYPE3b-Single speed pump
TYPE 4a- Storage Tank
TYPE14e: Temperature
Pump-1
Water draw
Equa
GSHP_3RDWEST
Turn Radiation
Weather data
Psychrometrics
Sky temp
Building
Temperature
Type108
GSHP_2STEAST
GSHP_1STWEST
Monthly
Mixing Valve
Circulation Pump
Diverter2
GSHP_1STEAST
GSHP_2STWEST
Type108-2
Type108-3
Type108-4
Type108-5
GSHP_3RDEAST
GSHP_4THWEST
GSHP_4THEAST
GSHP_5THEAST
Type108-6
Type108-7
Type108-8
Closed Circuit Cooling Tower
Type11d
Cooling Water Pump
Type11f
Type108-10
Type108-9
DHW
POOL&SPA-1
POOL&SPA-2
Mixing Valve-2
Diverter2-2
Hot water tank
Ambient pressure
Type2b
Mains temperature
GROUND HEAT EXCHANGER
100% OA ROOFTOP AC 2100% OA ROOFTOP AC1
38
TYPE14h-Time Dependent Forcing Function: water draw
TYPE14b-lighting consumption/schedule
TYPE14c-other equipment consumption/schedule
TYPE108-Five-stage thermostat
TYPE69b- Effective Solar temperature
TYPE33e-Psychrometrics: dry bulb and relative humidity
TYPE504b-Water to air heat pump
TYPE557- Vertical U-tube Ground Heat Exchanger
TYPE647- Fluid Diverting Valve
TYPE 649 - Mixing valve for fluids
TYPE 665 -AIR-SOURCE HEAT PUMP
TYPE 668 -Water to Water Heat Pump
TYPE510 -Closed Circuit Cooling Tower
TYPE11f -controlled mix valve
TYPE11d –controlled fluid diverter
9 TYPE 577-water to air heat pumps (named as GSHP_1st west,
GSHP_1steast and so in the TRNSYS map) are connected with the TYPE56-the
building model in order to control the room temperature and humidity. Each heat
pump is controlled by one TYPE 108-thermostat which room set points use 21℃
for cooling and 23℃ for heating respectively. The main geothermal loop cycle
comprises of heat pumps ( including water to air heat pump for room
conditioning, water to water to water heat pumps for domestic hot water and
39
heating spa), water pumps ( controlling the flow rate of the main loop), and TYPE
557 vertical ground heat exchanger model. The TYPE 510-closed circuit cooling
tower is connected with the main loop according to TYPE11d controlled mix
valve and TYPE 11f controlled fluid diverter that are partly opened when
entering water temperature is over 29℃ monitored by TYPE108 controlled.
The weather system is installed to simulate the environment condition of
cooling tower, building, ground heat exchanger, heat pumps and so on. The
domestic hot water and heating spa are simulated by three TYPE668-water to
water heat pumps and TYPE4a-storage tank which temperature and flow rate are
controlled by the 14h- water draw and the 14e temperature. And the 100%
outside air roof top conditioner in the system is simulated by TYPE 665 air
source heat pump which supply air temperature is set as ambient temperate in
the simulation.
The components connection in the TRNSYS map of the complete ground
source heat pump system is the same as hybrid system except only without the
cooling tower system.
Air source heat pump system (shown Figure 4-9) utilizes the 9 TYPE665 air
source heat pumps to control the room temperature and humidity. The water to
water heat pump is used to simulate the domestic hot water and heating spa.
40
Figure 4-9 TRNSYS map for ASHP system.
4.4 Summary of Validation and Building Energy
In order to verify the simulation model and building model, the validation
process is important to make the results convincing and accurate.
In this study, the first year measure data is used for validation of the first
year of simulation in order to verify the building model and system model in
TRNSYS. The hotel is monitored by Al Barfield (2006)[7] during the first year of
Turn
Radiation
Weather data
Psychrometrics
Sky temp
BuildingType108-5
Type65d2NDWEST
Type108
TYPE24
Type25c
Monthly-2
1STWEST
1STEAST
2NDEAST-4
Type108-2
Type108-3
Type108-4
3RDWEST
3RDEAST
4THWEST
4THEAST
5THEAST
Type108-6
Type108-7
Type108-8
Type108-9
100% OA ROOFTOP AC 2100% OA ROOFTOP AC1
Hot water tank
Mains temperature Water draw
Type668
Type2b
Pump-1
Pump
Type668-2
Type668-3 Diverter2-2
Mixing Valve-2
Monthly
41
hotel open to the public, and the average return water temperature, domestic hot
water and heating spa consumption and total building consumption are metered.
The simulation results and the measured data are compared
comprehensively in the Figure 4-10, Figure 4-11, Figure 4-12, Figure 4-13 and
Figure 4-14 based on the first year of system operation. According to Figure 4-10,
the Average entering water temperature from the simulation is well matched with
measure data. And several energy consumption comparisons are illustrated in
the Figures 4-11, and 4-12 which shows the DHW&SPA heating consumption,
and the total building calendar energy consumption respectively.
According to these three pictures, there is difference between the simulation
data and measure data. There are three main reasons to explain it.
1. The typical meteorological year weather data is different from the real weather
data; it causes the errors between the simulation and real operation.
2. For the validation with DHW and SPA heating, it is difficult to be consistent
with the actual operation and is hard to simulate the usage with accurate water
draw and operation schedule.
3. The assumed lighting and equipment consumption is not accurate to predict
the real energy consumption and heat gain.
Furthermore, Picture 4-13 shows the composition of the annual total building
consumption, the simulation result have less than 2% of difference with the
statistic map from utility company (shown in Picture 4-14)
42
Figure 4-10 Validation of average entering water temperature to heat pumps.
0
5
10
15
20
25
30
35
40
1 2 3 4 5 6 7 8 9 10 11 12
Average entering water temperature
(deg C)
Month
simulated data
measured data
43
Figure 4-11 Validation of DHW and SPA heating consumption.
0
5000
10000
15000
20000
25000
1 2 3 4 5 6 7 8 9 10 11 12
monthly energy (kwh)
Month
measureddata
simulateddata
44
Figure 4-12 Validation of building calendar energy consumption.
0
20000
40000
60000
80000
100000
120000
140000
160000
180000
200000
1 2 3 4 5 6 7 8 9 10 11 12
Monthly building energy
consumption (kwh)
Month
simulated data
measured data
45
Figure 4-13 The simulated energy consumption composition.
Figure 4-14 The statistic from utility company.
100%OA ROOFTOP AC
7%
Lighting,equipment room unitary heat
pumps consumption
64%
spa and DHW 9%
water pump 18%
cooling tower
2%
SIMULATION BUILDING ENERGY SUMMARY
46
4.5 Results and Discussion
After the validations above, the validated building model and system model
are set up well. In order to reseach the advantage and disadvange of HyGSHP
compared with other type of HVAC system, the building model with the
alternative complete GSHP and ASHP system is simulated. And Figure4-15
(screenshot from TRNSYS plotter) shows the ground temperature (red line) and
subhourly exiting water temperature of GHX for the validated HyGSHP system.
Then the HyGSHP system is substitued by the complete ground source heat
pump system which contain 245 boreholes with 200 ft depth with total estimated
250 tons capacity. Figure 4-16 shows the ground temperature and exiting fluid
temperature of GHX profile in the simulation of GSHP system.
From Figures 4-15 and 4-16, with the same HVAC system capacity, the
exiting water temperature of complete GSHP has lower fluctuation and is
controlled more effeciently than the exiting fluid temperature of HyGSHP. The
reasons are as follow:
First of all, these two HVAC systems, the spacing of boreholes and the inlet
mass flow rate of GHX is set as the equal for the HyGSHP and GSHP.
And according to the heat convenction equation(4-1):
𝑞 = ℎ 𝐴 ( 𝑇𝑠𝑢𝑟𝑓𝑎𝑐𝑒 − 𝑇𝑓𝑙𝑢𝑖𝑑 ) (4-1)
Where,
q, energy transfer rate
47
h, convection heat-transfer coefficient
𝑇𝑠𝑢𝑟𝑓𝑎𝑐𝑒 , surface temperature of U-TUBE
A, surface area of U-TUBE
Because the complete ground heat exchanger with lengthened ground heat
exchange length has the larger surface area of U-TUBE of ground heat
exchanger than surface area of U-TUBE of the HyGSHP, more heat is
transferred from fluid to the ground in the GSHP that the heat transferred in the
HyGSHP.
Therefore, according to the equation 4-2, with the same mass flow rate and
thermal conductivity for GSHP and HyGSHP, complete ground source heat pump
discharges more heat into ground; therefore, the outlet temperature 𝑇𝑜𝑢𝑡𝑙𝑒𝑡 is
lower than than for HyGSHP when the fuild goes through the ground heat
exchanger ( see Figures 4-15 and 4-16). This may explain why the case of
HyGSHP resulted in a higher ground temperature.
𝑞 = 𝑚 𝑐 ( 𝑇𝑜𝑢𝑡𝑙𝑒𝑡 − 𝑇𝑖𝑛𝑙𝑒𝑡 ) (4-2)
Where,
��, mass flow rate
C, thermal conductivity
48
Figure 4-15 Plot of hourly ground temperature and exiting fluid temperature of
ground heat exchanger for HyGSHP.
Figure 4-16 Plot of hourly ground temperature and exiting fluid temperature of
ground heat exchanger for GSHP.
49
If the same outlet temperature for these cases is assumed, the mass flow
rate for the HyGSHP has to be adjusted . This effect should be studied further in
the future.
Figure 4-17 presents the energy comparsion among three HVAC systems.
The conventional air source heat pump system consumes 6% more than
HyGSHP and 15% more than GSHP because of lower effeciency.
And Al Barfield estimates that the complete gournd source heat would have
been 40,107kwh saving compared with HyGSHP, and it is consistent with the
simulation results between HyGSHP and GSHP from the simulation (shown in
Figure 4-17).
0
100000
200000
300000
400000
500000
600000
700000
GHSP HyGSHP ASHP
Annual energy consumption
50
Figure 4-17 Comparison of annual system energy consumption among
three types of system.
(Note: the total consumption include the main loop pumping water source heat
pump (or air source heat pump) consumption, and DHW & SPA heating
consumption.)
The life cycle analysis is conducted and the economic feature of these three
systems is analyzed, the following assumptions are made:
1. $10.00 per foot at borehole is used for the calculation of the cost of the
ground heat exchanger (Kavanaugh (1998) uses the value the $6.00 per foot,
the inflation is considered in the study).
2. Cooling tower cost is $17,000 from the manufacturing company quoted price.
3. Air source heat pumps and water source heat pumps are calculated based
on $1000/ton and $983/ton respectively. [26]
4. The cost of electricity is assumed to be $0.102 per kWh.
5. Tax credit program is consider in the analysis , which offers tax credit up to a
30% of initial cost without cap. Also, in some parts southern States, a
$300/ton rebate program is offered by energy companies.
6. According to a few studies on this subject, the maintenance costs were used
as annual maintenance costs and estimated as $0.027/𝑓𝑡2 per year for the
GSHP system tonnage. For maintenance cost of conventional systems, RS
51
Means Facility Maintenance Cost Data was used. The cost is $0.102/𝑓𝑡2 per
year [27].
The equation to calculate the life cycle cost in the paper is summarized as
equation (4-3)
Life cycle cost = Initial cost after rebate + Energy cost of 20 years+
OM&R of 20 years (4-3)
Where,
Initial cost after rebate = ground heat exchanger cost+ heat pumps cost + cooling
tower cost- credit (4-4)
Credit= 30 % x (ground heat exchanger cost+ heat pump cost) (4-5)
OM&R: operation maintenance and repair cost
Compared with conventional air source heat pump system:
Payback period for GSHP or HyGSHP = (initial cost difference between
GSHP or HyGSHP and ASHP)∕(the annual net savings) (4-6)
Table 4-1 Summary of Life Cycle Analysis
HyGSHP GSHP ASHP
System description 80,145 𝑓𝑡3 building
area
98@200ft GHX
80,145 𝑓𝑡3 building
area
245@200ft GHX
80,145𝑓𝑡3 building
area
Land area 40,000 ft2 100,000 ft2 ---
52
requirement for
system
Cost of Ground heat
exchanger
$196,000 $490,000 ---
Heat pump (water
source or air source)
$294,900 $294,900 $315,000
Cooling tower cost $17,000 -- --
Credit $147,270 $235,470 ---
Initial cost after
rebate
$343,630 $549,430 $315,000
20 years
maintenance cost
$50,000 $43,278 $163,490
20 years of electricity
cost
$1,389,241 $1,278,934
$1,473,336
Life cycle cost $1,782,871 $1,871,642 $1,951,826
Payback period 2.9 years 14 years ---
Notes: 1. the land cost is not included in the initial cost. It assumes the hotel
already owns this property.
2. Electric consumption is based on the first years running (actually the
consumption will increase a little after long time operation because of increase of
the ground temperature)
53
According to the results in the Table 4-1, HyGSHP has the best economic
benefit compared with other two types of system. Even if the complete ground
source heat pump system has the advantage of better energy performance, it still
cannot beat HyGSHP system because of large initial cost and land area
utilization. Both innovated HyGSHP and GSHP system have the economic
advantage compared with the conventional air source heat pump.
4.6 Conclusions and Future Work
In the chapter, three type HVAC systems are studied and simulated based
on well validated building model. The designers of the HVAC system designed
the hybrid ground source heat pump system due to the land area limitation for
the complete ground source heat pump system. Nevertheless, in order to make a
comparison between the performance of hybrid ground source heat pump and
the complete ground source heat pump, the enough land area is assumed for the
complete ground source heat pump.
In order to avoid the degradation of ground source heat pump in the hot-
humid climate due to the imbalance between heating load and cooling load of the
building, two enhanced systems, complete ground source heat pump with
lengthened ground heat exchanger length and the hybrid source heat pump are
the two main solutions. According to the comparative simulation study above, the
complete ground source heat pump system which increases the total borehole
length has the better energy performance than the existing hybrid system.
However, the large initial cost and large land area limitation for the building make
54
the system as the second option, and the payback period is too long compared
with HyGSHP.
Hybrid ground source heat pump significantly decreases the initial cost and
the requirement of land area and maintains relatively high energy performance.
According to the 20 years life cycle analysis, the hybrid system owns the
economical advantage compared with other two systems in the hot-humid
climate. But for the longer time running, complete ground source heat pump will
overtake the hybrid system due to the better energy performance.
55
CHAPTER 5
PARAMETRIC STUDY OF GROUND SOURCE HEAT PUMP SYSTEM IN HOT
HUMID CLIMATE
Two parameters including U-tube sizes and grout or fill thermal conductivity
are studied based on the sample residential building in the Hot-humid climate
Tampa, Florida. In this study, a list of comparative simulation cases with varied
parameter value is simulated to research the importance and effect of U-tube
size and grout materials on the ground heat exchanger efficiency. The simulation
software TRNSYS is employed to fulfill this task. A complete building model with
traditional local building materials is created simultaneously .The results present
the profile of heat pump energy consumption comparative analysis based on
varied parameters. Future work needs to be conducted for the cost analysis,
include the installation cost and materials cost from the contractor.
5.1 Introduction
It is estimated that the installation geothermal heat pump system (GSHP)
has continuously grown from 10% to 30% recently [28]; GSHP is more efficient
than the conventional HVAC, due to utilize the ground as heat source or heat
sink. Accordingly, the innovative system is attractive to engineers in order to cut
the carbon dioxide emission, it is estimated ground source heat pump will cut
global CO2 emissions by more than 6% [29]. To improve the GSHP design and
56
save more energy, the size selection and material utilization in ground source
heat pump application are strongly recommended to study, and there is little
information available for the guidance of engineer in this area.
The U-tube size in borehole is critical and complicate to ground source heat
exchanger design due to the multiple influence factors, pumping power (pipe size
should be large enough to keep the pumping power small and flow type (pipe
size should be small enough to avoid laminar flow). The selection of grout also
depends on lots of other factors, such as chemical safety to local ground water,
the ability to support the borehole, and the cost.
However, both parameters influence the design length and performance of
heat exchanger. Allan and Kavanaugh [30] conducted experimental study to
improve the thermal conductivity of grout and discuss its importance to design
the heat exchanger length. In this study, the parameters are studied within the
ground source heat pump system with complete building model so as to study
the thermal performance of ground heat exchanger. The ground source heat
pump system model and complete building model are presented and various
simulations are conducted in the study.
Ground heat exchanger model in TRNSYS which is the key component of
ground source heat pump system model is created based on the theory of the
DST model [5].
The governing equation for fluid temperature in DST model is expressed as:
Tf(t) ≅ Tm(t) + q2πλ
�2πλRb + ln(r1rb� − 3
4] at
r12> 0.2 (5-1)
57
And Tm(t) = qπ𝐶r12
∗ t (5-2)
And the heat rejection to the ground is governed as
qπr12
= λ(Tf−Tm)l2
(5-3)
And l = r1�12
[ln �r1rb� − 3
4+ 2πλ Rb (5-4)
Where
r1: radius of outer boundary
Tf : fluid temperature
Tm : mean temperature
λ ∶ thermal conductivity,
C: volumetric heat capacity,
a : thermal diffusivity
rb: outer pipe radius
Rb: thermal resistance per unit pipe length
q: heat rejection per unit volume
From the equation, (5-1) and (5-3) the fluid temperature and heat rejection
is proportional to pipe size the thermal conductivity. As the enter water
temperature to heat pump is one of the core factors to effect the heat pump
consumption, it is easy to understand that the parameters ARE crucial and
decisive to the thermal performance of ground heat exchanger and the heat
pump energy consumption
58
5.2 Methodology and Simulation Model
The sample building is created by GOOGLE SKETCHUP which is free 3D
simulation software (shown in Figure5-1). The dimension of the sample
residential building is 60 feet length, 40 feet width and 10 feet height like the
normally residential house in Florida area. The traditional Dallas wall, roof and
floor material is applied to simulate system.
Figure 5-1 Building geometry created by Google Sketchup.
In order to determine the heat pump capacity and heat exchanger capacity
for this sample house, the cooling and heating load is simulated in the TRNSYS,
the peak heating and cooling load is 30000 KJ/h (shown Figure5-2), the 3 tons
heat pump unit is selected to condition the building within the cooling and heating
set point 70 and 73 respectively. The water pump is selected as constant 8
GPM, 1 hp (all flow rates in the research pipe size types will be in turbulent flow).
59
The specification of ground source heat pump is listed in the Table5-1, the length
of geothermal heat exchanger and borehole number is based on the similar
project design specification in Florida [31].
Figure 5-2 The cooling and heating load diagram.
Figure 5-3 Illustrates the GSHP connection diagram in the TRNSYS.
All components for in TRNSY are defined as the type like a black box
governed by the mathematical equation, which user set the parameters and
supply the input. The types which are used in this simulation are listed as below:
60
Figure 5-3 GSHP system map in TRNSYS.
Type 56-Multi-zone building
Type 557a-Vertical ground heat exchanger
Type114-Single speed pump
Type 108-Five-stage thermostat
Type 69b- Effective Solar temperature
Type 33e-Psychrometrics: dry bulb and relative humidity known
Type 504b-Water to air heat pump
Turn
Radiation
Weather data
Psychrometrics
Sky temp
Dallas green house
HEAT PUMP
WATER PUMP
GROUND HEAT EXCHANGER
OUTPUT PLOTTERTHERMOSTAT
Monthly
output
61
Table 5-1 Benchmark of Ground Heat Exchanger Specification
Specification Value
Storage volume 287534.718819 ft3
Borehole depth 300.00001 ft
Header depth 6.56168 ft
Number of boreholes 3
Borehole radius 4.5 in
Storage thermal conductivity 1.399855 BTU/hr.ft.℉
Storage heat capacity 30.060575 BTU/ft3.℉
Outer radius of u-tube pipe 0.525 in
Inner radius of u-tube pipe 0.412 in
Center-to-center half distance 1 in
Fill thermal conductivity 0.85 BTU/hr.ft.℉
Pipe thermal conductivity 0.242704 BTU/hr.ft. ℉
Initial ground temperature 65 ℉
Thermal conductivity of layer 1.4 BTU/hr.ft. ℉
During the simulation, the schedule 40 pipes with 3/4 inch, 1 inch 1 1/4 inch
1 1/2 inch and 2 inch are input to conduct the energy simulation comparison. The
range pipe size is limited because of borehole diameter. Table 2 shows the list of
grout which will be selected as research objectives. 20% Bentonite is the
62
traditional backfill type with very poor thermal conductivity, 30% Bentonite -
30%Quartizite and 20% Bentonite- 40% Quartzite is the enhanced grout with a
good thermal performance,but the price is higher. Concrete(50% quartz sand)
has the highest thermal conductivities, but it also costs highest.
Table 5-2 Thermal Conductivities of Typical Grouts and Backfills [32]
Grouts and Additivies Thermal conductivities K
(Btu/h. ft.℉)
20% Bentonite 0.42
30% Bentonite -30%Quartizite 0.70-0.75
20% Bentonite- 40% Quartzite 0.85
Concrete(50% quartz sand) 1.1-1.7
5.3 Preliminary Results
After a list of simulations with varied parameters input, Figures 5-4 and 5-5
present the energy consumption graphs with pipe sizes and grout materials
respectively. According to Figure 5-4, the energy consumption of heat pump will
decrease when the pipe size increases. There is around 1.2 % saving when the
pipe increases one diameter from the graph. And also Figure 5-5 shows, with the
thermal conductivity increasing, the heat pump consumption will decrease
proportionally. From 20% Bentonite to 30% Bentonite -30%Quartizite, the
consumption decreases 9% of annual heat pump energy consumption.
63
Figure 5-4 Heat pump consumption with different pipe sizes.
Figure 5-5 Heat pump consumption with different grout and backfills.
8.40E+03
8.45E+03
8.50E+03
8.55E+03
8.60E+03
8.65E+03
8.70E+03
8.75E+03
8.80E+03
0 0.5 1 1.5 2
Annual energy consumption
(KWH)
Pipe size (inch)
7.80E+03
8.00E+03
8.20E+03
8.40E+03
8.60E+03
8.80E+03
9.00E+03
9.20E+03
9.40E+03
9.60E+03
9.80E+03
20% Bentonite 30% Bentonite -30%Quartizite
20% Bentonite-40% Quartzite
Concrete(50%quartz sand)
Annual energy consumption( KWH)
64
5.4 Future Work
In order to further analyze the economic benefit with different U-tube sizes
and grout materials, the data of materials cost and installation cost (U-tube and
grout) will be collected to conduct the cost analysis in future. And in the study, it
is the limitation that the constant pumping size is set for all the pipe sizes, which
is using the 1 hp with 8gpm constant speed water pump. The future work will
include the pumping selection based on the effect of pipe size. And also the
commercial size building will be considered to further research the energy saving
with building size and heating and cooling load.
65
CHAPTER 6
CONCLUSIONS AND RECOMMENDATIONS
6.1 Conclusions
In this thesis, Hybrid Ground Source Heat Pump system in the Hot-Humid
area is simulated using the complete building model and TRNSYS system model.
And two key parameters, U-tube diameter and grout or fill materials, in the
Ground Source Heat Pump system is investigated based on the heat pump
consumption using the whole building system simulation method.
Firstly, the comparative simulation study is made among the HyGSHP,
complete GSHP and ASHP systems, the life cycle analysis results are presented
in the thesis. The HyGSHP system is constituted with the vertical ground heat
exchanger with 98 boreholes at 200 ft depth and 150 tons closed circuit cooling
tower in parallel connection with the main loop. Furthermore, the complete
building modeling which is divided into 9 thermal zones is created with the
defined materials, thermal gains and typical meteorological year weather data.
The innovated system includes 117 unitary water-to-air heat pumps and 5 water-
to-water heat pump which is using ground heat exchanger as the heat source
when heating is required or heat sink when cooling is required. And two 100%
outside air rooftop heat pumps are simulated in the system which supply the
fresh air to each thermal zone. The validation of system is conducted used the
66
measure data of the first year system operation, such as monthly average
entering water temperature to heat pump, cooling tower consumption etc.
Secondly, the designers of the HVAC system designed the hybrid ground
source heat pump system due to the land area limitation for the complete ground
source heat pump system. Nevertheless, in order to make a comparison between
the performance of hybrid ground source heat pump and the complete ground
source heat pump, the enough land area is assumed for the complete ground
source heat pump (borehole spacing , mass fluid rate is kept as the same with
HyGSHP, details referred as APPEDIX A). Two enhanced systems, complete
ground source heat pump with lengthened ground heat exchanger length and the
hybrid source heat pump are compared based on the life cycle analysis cost.
According to the results above, the complete ground source heat pump system
which increases the total borehole length has the better energy performance than
the existing hybrid system. However, the large initial cost and large land area
limitation for the building make the system as the second option, and the
payback period is too long compared with HyGSHP. Hybrid ground source heat
pump significantly decreases the initial cost and the requirement of land area and
maintains relatively high energy performance. According to the 20 years life cycle
analysis, the hybrid system owns the economical advantage compared with other
two systems in the hot-humid climate. But for the longer time running, complete
ground source heat pump will overtake the hybrid system due to the better
energy performance.
67
Thirdly, parametric study of ground source heat pump system with sample
building model is presented in the paper, the results shows the heat pump
energy consumption varies significantly because of the parameter effect. It will
help to create the guideline of the construction of ground heat exchanger.
In the study, the comparison between the complete ground heat
exchanger and hybrid geothermal source heat pump is based on the special
case that the spacing, fluid mass fluid rate etc. for both systems are kept the
same, the future work may conduct the comparison based on other conditions or
assumptions in order to show a more completely and comprehensively
comparative study
Moreover, for the HyGSHP system design, the future work should
emphasis on the improvement of thermal performance of ground heat exchanger
in hybrid ground source heat pump system. The methodology will include the
development on the sizing of cooling tower, GHX and, the connection method
and control strategies Yavuzturk and Spitler [7] mention differential temperature
control (operating the auxiliary rejecter whenever the difference between heat
pump fluid temperature and ambient air temperature exceeds a set value) has
the economic advantage compared with the strategy with set point control
(operating the auxiliary rejecter whenever the heat pump entering or exiting fluid
temperature is over one set value ) which is used in this hotel and is simulated
for the HyGSHP in this paper . And Hackel and Thornton [15] created a general
guideline to select an equipment configuration, size equipment and control
68
strategies. More works need to be done in order to verify these conclusions in
future.
Lastly, more parametric studies need to be done in order to create more
comprehensive guidelines for ground heat exchanger design.
70
Construction Details Existing Building
Total Conditioned Area (m2) 7595
number of floors 5
Ext_wall layer
Gypsum broad 2”
Wall:Concrete block stucco 12”,
exterior insulation and finish
Roof Layer Insulation(R-19), 6” STUD
Floor Construction 0.08 m concrete on ground, Cork cover
Percent Glazing Area 50%
Glazing U-Value U-2.89 W/m^2k
Plant Details HyGSHP
Ground heat exchanger HyGSHP
Borehole hole 98@ 200 ft deep
Borehole spacing 20 ft
U TUBE 1 inch
Ground conductivity 5.22 KJ/hr.m.k [33]
Fill conductivity 4.2 KJ/hr.m.k
HVAC
180 tons unitary heat pump & 70 tons water to water
heat pump
50 tons 100% roof top air conditioner
150 tons cooling tower
Initial Ground water temperature 21 ℃
Total System Airflow Constant air flow
Cooling Setpoint Daytime/nighttime (oC) 23.3
Heating Setpoint - Daytime/Nighttime (oC) 21.1
Air Source Heat Pump (ASHP) ASHP
71
Cooling Setpoint Daytime/nighttime (oC) 23.3
Heating Setpoint - Daytime/Nighttime (oC) 21.1
Internal Loads
Lighting Power Density (W/ft2) 1.0 (assumed)
Lighting Controls specified
Equipment/Plug load Density (W/ft2) 1.1 (assumed)
Occupancy Density Max = 300
Operating Schedules Specified
Lighting equipment schedule See Pictures 1 and 2
Infiltration 1.0
Plant Details GSHP
Ground heat exchanger GSHP
Borehole hole 245@ 200 ft deep
Borehole spacing 20 ft
U TUBE 1 inch
Ground conductivity 4.68 KJ/hr.m.k
Fill conductivity 5.22 KJ/hr.m.k
73
Appendix B provides one sample cooling performance data which is converted
based on the performance file from manufacturing company. 15tons, 20 tons and
25 tons water to air source heat pump performance data is created in order to
serve and simulate the different thermal zone with relative cooling and heating
capacity.
3586.80 3586.80 !Values of Airflow in liters per second (l/s)
1.89 2.84 3.79 !Values of Liquid Flow Rate in liters per second (l/s)
10.00 21.11 32.22 43.33 !Values of Entering Liquid Temperature (degrees C)
78.04482594 52.87002103 9.69
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/10
73.32638171 50.11515297 10.94
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/21.11
63.68434351 47.94642705 12.36
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/32.22
55.97657437 43.66758943 13.57
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/43.33
78.60166097 53.39754895 9.39
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/10
73.97113807 50.84783065 10.65
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/21.11
65.06177754 48.67910473 12.12
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/32.22
74
57.47123683 44.95710214 13.7
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/43.33
79.1291889 53.92507688 9.08
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/10
74.64520153 51.55120121 10.35
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/21.11
65.99960496 49.93931033 11.81
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/32.22
58.46767847 45.92423667 13.86
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/43.33
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/10
73.32638171 50.11515297 10.94
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/21.11
63.68434351 47.94642705 12.36
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/32.22
55.97657437 43.66758943 13.57
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/1.89/43.33
78.60166097 53.39754895 9.39
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/10
73.97113807 50.84783065 10.65
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/21.11
65.06177754 48.67910473 12.12
75
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/32.22
57.47123683 44.95710214 13.7
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/ 2.84/43.33
79.1291889 53.92507688 9.08
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/10
74.64520153 51.55120121 10.35
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/21.11
65.99960496 49.93931033 11.81
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/32.22
58.46767847 45.92423667 13.86
!Total Cooling(kW) Sensible Cooling(kW) and Power(kW) at 3586.80/3.79/43.33
77
3586.80 3586.80
!Values of Airflow in liters per second (l/s)
1.89 2.84 3.79
!Values of Liquid Flow Rate in liters per second (l/s)
-1.11 10.00 21.11 32.22
! Values of Entering Liquid Temperature in Degrees Celsius
49.8220819 10.7
!Total Heating(kW) and Power(kW) at 3586.80/1.89/-1.11
63.03958716 11.51
!Total Heating(kW) and Power(kW) at 3586.80/1.89/10
79.15849601 12.34
!Total Heating(kW) and Power(kW) at 3586.80/1.89/21.11
99.58554959 13.22
!Total Heating(kW) and Power(kW) at 3586.80/1.89/32.22
52.43041442 10.81
!Total Heating(kW) and Power(kW) at 3586.80/2.84/-1.11
65.76514811 11.64
!Total Heating(kW) and Power(kW) at 3586.80/2.84/10
82.70465595 12.55
!Total Heating(kW) and Power(kW) at
3586.80/2.84/21.11104.2160725 13.53
!Total Heating(kW) and Power(kW) at 3586.80/2.84/32.22
78
56.26964544 10.93
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /-1.11
68.49070906 11.78
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /10
86.2508159 12.77
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /21.11
105.5055852 13.68
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /32.22
49.8220819 10.7
!Total Heating(kW) and Power(kW) at 3586.80/1.89/-1.11
63.03958716 11.51
!Total Heating(kW) and Power(kW) at 3586.80/1.89/10
79.15849601 12.34
!Total Heating(kW) and Power(kW) at 3586.80/1.89/21.11
99.58554959 13.22
!Total Heating(kW) and Power(kW) at 3586.80/1.89/32.22
52.43041442 10.81
!Total Heating(kW) and Power(kW) at 3586.80/2.84/-1.11
65.76514811 11.64
!Total Heating(kW) and Power(kW) at 3586.80/2.84/10
82.70465595 12.55
!Total Heating(kW) and Power(kW) at 3586.80/2.84/21.11
79
104.2160725 13.53
!Total Heating(kW) and Power(kW) at 3586.80/2.84/32.22
56.26964544 10.93
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /-1.11
68.49070906 11.78
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /10
86.2508159 12.77
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /21.11
105.5055852 13.68
!Total Heating(kW) and Power(kW) at 3586.80/3.79 /32.22
80
APPENDIX D
LISTING OF 20 TONS WATER TO AIR HEAT PUMP COOLING CAPACITY
CORRECTION PERFORMANCE DATA
81
15.56 18.33 21.11 26.67 32.22 37.78 !Values of Entering Air Dry-Bulb
Temperature (C)
12.78 15.56 18.33 19.44 21.11 23.89 !Values of Entering Air Wet Bulb
Temperature (C)
0.898 0.723 0.985
!Multipliers for Total Capacity, Sensible Capacity and Power at 15.56/12.78
0.912 0.529 0.994
!Multipliers for Total Capacity, Sensible Capacity and Power at 15.56/15.56
0.967 0.5 0.997
!Multipliers for Total Capacity, Sensible Capacity and Power at 15.56/18.33
1 0.413 1 !Multipliers for Total Capacity, Sensible Capacity and Power at
15.56/19.44
1.053 0.35 1.003
!Multipliers for Total Capacity, Sensible Capacity and Power at 15.56/21.11
1.168 0.3 1.007
!Multipliers for Total Capacity, Sensible Capacity and Power at 15.56/23.89
0.898 0.866 0.985
!Multipliers for Total Capacity, Sensible Capacity and Power at 18.33/12.78
0.912 0.632 0.994
!Multipliers for Total Capacity, Sensible Capacity and Power at 18.33/15.56
0.967 0.59 0.997
!Multipliers for Total Capacity, Sensible Capacity and Power at 18.33/18.33
82
1 0.5 1
!Multipliers for Total Capacity, Sensible Capacity and Power at 18.33/19.44
1.053 0.45 1.003
!Multipliers for Total Capacity, Sensible Capacity and Power at 18.33/21.11
1.168 0.4 1.007
!Multipliers for Total Capacity, Sensible Capacity and Power at 18.33/23.89
0.898 1.048 0.985
!Multipliers for Total Capacity, Sensible Capacity and Power at 21.11/12.78
0.912 0.88 0.994
!Multipliers for Total Capacity, Sensible Capacity and Power at 21.11/15.56
0.967 0.694 0.997
!Multipliers for Total Capacity, Sensible Capacity and Power at 21.11/18.33
1 0.616 1
!Multipliers for Total Capacity, Sensible Capacity and Power at 21.11/19.44
1.053 0.577 1.003
!Multipliers for Total Capacity, Sensible Capacity and Power at 21.11/21.11
1.168 0.538 1.007
!Multipliers for Total Capacity, Sensible Capacity and Power at 21.11/23.89
0.898 1.3 0.985
!Multipliers for Total Capacity, Sensible Capacity and Power at 26.67/12.78
0.912 1.244 0.994
!Multipliers for Total Capacity, Sensible Capacity and Power at 26.67/15.56
83
0.967 1.079 0.997
!Multipliers for Total Capacity, Sensible Capacity and Power at 26.67/18.33
1 1 1
!Multipliers for Total Capacity, Sensible Capacity and Power at 26.67/19.44
1.053 0.879 1.003
!Multipliers for Total Capacity, Sensible Capacity and Power at 26.67/21.11
1.168 0.687 1.007
!Multipliers for Total Capacity, Sensible Capacity and Power at 26.67/23.89
0.898 1.65 0.985
!Multipliers for Total Capacity, Sensible Capacity and Power at 32.22/12.78
0.912 1.57 0.994
!Multipliers for Total Capacity, Sensible Capacity and Power at 32.22/15.56
0.967 1.49 0.997
!Multipliers for Total Capacity, Sensible Capacity and Power at 32.22/18.33
1 1.33 1
!Multipliers for Total Capacity, Sensible Capacity and Power at 32.22/19.44
1.053 1.25 1.003
!Multipliers for Total Capacity, Sensible Capacity and Power at 32.22/21.11
1.168 1.04 1.007
!Multipliers for Total Capacity, Sensible Capacity and Power at 32.22/23.89
0.898 1.74 0.985
!Multipliers for Total Capacity, Sensible Capacity and Power at 37.78/12.78
84
0.912 1.696 0.994
!Multipliers for Total Capacity, Sensible Capacity and Power at 37.78/15.56
0.967 1.652 0.997
!Multipliers for Total Capacity, Sensible Capacity and Power at 37.78/18.33
1 1.564 1
!Multipliers for Total Capacity, Sensible Capacity and Power at 37.78/19.44
1.053 1.52 1.003
!Multipliers for Total Capacity, Sensible Capacity and Power at 37.78/21.11
1.168 1.476 1.007
!Multipliers for Total Capacity, Sensible Capacity and Power at 37.78/23.89
85
APPENDIX E
LISTING OF 20 TONS WATER TO AIR HEAT PUMP HEATING CAPACITY
CORRECTION PERFORMANCE DATA
86
7.22 10 12.78 15.56 18.33 20 21.11 23.89 26.67
! Values of Entering Air Dry-Bulb Temperature (C)
1.062 0.739
! Multipliers for Heating Capacity and Power at 7.22
1.05 0.79
! Multipliers for Heating Capacity and Power at 10
1.037 0.842
! Multipliers for Heating Capacity and Power at 12.78
1.025 0.893
! Multipliers for Heating Capacity and Power at 15.56
1.012 0.945
! Multipliers for Heating Capacity and Power at 18.33
1.005 0.976
! Multipliers for Heating Capacity and Power at 20
1 1 ! Multipliers for Heating Capacity and Power at 21.11
0.987 1.048
! Multipliers for Heating Capacity and Power at 23.89
0.975 1.099
88
2831 3775 4719 !Air flow rates in liters per second (l/s)
14.44 19.44 23.89 24.22 !Return air wet bulb temperatures (C)
23.89 26.67 29.44 !Return air dry bulb temperatures (C)
29.44 40.56 46.11 !Outdoor air dry bulb temperatures (C)
62.45344502 56.9437089 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\14.44\23.89\29.44
54.15953374 52.45972153 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\14.44\23.89\40.56
49.70485347 49.70485347 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\14.44\23.89\46.11
63.6550364 63.6550364 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\14.44\26.67\29.44
57.38331551 57.38331551 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\14.44\26.67\40.56
53.51477738 53.51477738 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\14.44\26.67\46.11
67.02535371 67.02535371 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\14.44\29.44\29.44
61.07601099 61.07601099 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\14.44\29.44\40.56
57.32470129 57.32470129 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\14.44\29.44\46.11
73.70737411 40.29727213 21
89
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\19.44\23.89\29.44
66.05821918 37.36656143 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\19.44\23.89\40.56
61.19323942 35.49090658 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\19.44\23.89\46.11
73.59014568 49.26524687 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\19.44\26.67\29.44
65.85306943 46.33453617 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\19.44\26.67\40.56
61.01739677 44.51749553 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\19.44\26.67\46.11
73.44361014 58.14530029 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\19.44\29.44\29.44
65.64791968 55.15597537 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\19.44\29.44\40.56
60.78293992 53.30962763 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\19.44\29.44\46.11
80.30147318 30.5673126 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\23.89\23.89\29.44
72.74023957 27.87105876 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\23.89\23.89\40.56
68.05110245 26.25916787 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\23.89\23.89\46.11
80.24285897 39.59390156 21
90
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\23.89\26.67\29.44
72.50578272 36.89764771 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\23.89\26.67\40.56
67.78733849 35.31506394 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\23.89\26.67\46.11
80.15493765 48.53256919 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\23.89\29.44\29.44
72.27132586 45.89492956 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\23.89\29.44\40.56
67.55288164 44.34165289 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\23.89\29.44\46.11
85.86982351 26.08332523 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\24.22\23.89\29.44
78.24997569 20.22190383 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\24.22\23.89\40.56
73.56083857 18.75654848 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\24.22\23.89\46.11
85.8405164 31.68098267 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\24.22\26.67\29.44
78.04482594 29.18987857 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\24.22\26.67\40.56
73.44361014 27.72452322 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\24.22\26.67\46.11
85.63536665 40.6196503 21
91
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 2831\24.22\29.44\29.44
77.83967619 38.21646753 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\24.22\29.44\40.56
73.20915329 36.78041929 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 2831\24.22\29.44\46.11
68.02179535 66.67366843 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\14.44\23.89\29.44
60.63640438 60.63640438 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\14.44\23.89\40.56
56.29895255 56.29895255 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\14.44\23.89\46.11
71.39211265 71.39211265 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\14.44\26.67\29.44
64.85662779 64.85662779 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\14.44\26.67\40.56
60.60709728 60.60709728 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\14.44\26.67\46.11
75.05550103 75.05550103 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\14.44\29.44\29.44
68.72516592 68.72516592 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\14.44\29.44\40.56
64.82732068 64.82732068 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\14.44\29.44\46.11
79.18780311 46.18800063 21
92
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\19.44\23.89\29.44
70.95250605 43.16936861 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\19.44\23.89\40.56
65.79445522 41.32302087 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\19.44\23.89\46.11
78.92403915 57.7643079 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\19.44\26.67\29.44
70.6301278 54.8629043 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\19.44\26.67\40.56
65.50138415 53.04586367 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\19.44\26.67\46.11
78.63096808 69.04754409 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\19.44\29.44\29.44
70.42497812 66.02891207 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\19.44\29.44\40.56
65.38415572 63.18612269 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\19.44\29.44\46.11
86.19220169 33.64455884 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\23.89\23.89\29.44
77.92759751 30.88969078 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\23.89\23.89\40.56
72.94538932 29.21918568 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\23.89\23.89\46.11
85.89913062 45.30878742 21
93
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\23.89\26.67\29.44
77.57591223 42.67114779 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\23.89\26.67\40.56
72.56439693 41.05925691 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\23.89\26.67\46.11
85.63536665 56.82648047 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\23.89\29.44\29.44
77.31214827 54.36468349 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\23.89\29.44\40.56
72.27132586 52.81140681 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\23.89\29.44\46.11
92.02431598 24.91104095 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\24.22\23.89\29.44
83.23218388 20.5149749 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\24.22\23.89\40.56
78.24997569 17.5842642 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\24.22\23.89\46.11
91.76055202 35.22714261 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\24.22\26.67\29.44
83.17356967 32.6481172 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\24.22\26.67\40.56
78.16205437 31.12414763 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\24.22\26.67\46.11
91.52609516 46.77414277 21
94
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 3775\24.22\29.44\29.44
82.8804986 44.40026711 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\24.22\29.44\40.56
77.78106198 42.96421886 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 3775\24.22\29.44\46.11
72.0075619 72.0075619 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\14.44\23.89\29.44
64.41702119 64.41702119 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\14.44\23.89\40.56
59.69857696 59.69857696 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\14.44\23.89\46.11
76.13986399 76.13986399 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\14.44\26.67\29.44
68.95962277 68.95962277 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\14.44\26.67\40.56
64.41702119 64.41702119 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\14.44\26.67\46.11
80.27216607 80.27216607 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\14.44\29.44\29.44
73.41430304 73.41430304 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\14.44\29.44\40.56
69.31130806 69.31130806 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\14.44\29.44\46.11
82.29435646 50.75990932 21
95
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\19.44\23.89\29.44
73.23846039 47.65335598 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\19.44\23.89\40.56
67.8166456 45.83631535 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\19.44\23.89\46.11
81.94267117 65.00316333 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\19.44\26.67\29.44
72.857468 61.9552242 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\19.44\26.67\40.56
67.34773189 59.99164803 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\19.44\26.67\46.11
78.04482594 78.04482594 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\19.44\29.44\29.44
73.56083857 73.47291725 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\19.44\29.44\40.56
69.54576491 69.54576491 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\19.44\29.44\46.11
89.79697585 35.52021368 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\23.89\23.89\29.44
80.88761532 32.67742431 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\23.89\23.89\40.56
75.46580053 30.9776121 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\23.89\23.89\46.11
89.38667635 49.85138901 21
96
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\23.89\26.67\29.44
80.3893945 47.18444227 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\23.89\26.67\40.56
75.02619392 45.54324428 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\23.89\26.67\46.11
80.53593004 73.91252385 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\23.89\29.44\29.44
80.00840211 61.5449247 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\23.89\29.44\40.56
74.61589442 59.93303382 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\23.89\29.44\46.11
95.83423989 20.5149749 21
!Total Cooling(kW), Sensible Cooling(kW) and Power(kW) at 4719\24.22\23.89\29.44
86.74903672 17.5842642 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\24.22\23.89\40.56
81.47375746 14.6535535 21
!Total Cooling(kW), Sensible Cooling(kW), and Power(kW) at 4719\24.22\23.89\46.11
95.59978303 37.57171117 21
98
2830 3775 4715.89 !Air Flow Rate in liters per second (l/s)
12.78 21.11 26.67 !Indoor Dry Bulb Temperatures (C)
-23.33 -17.78 -12.22 -8.33 -1.11 4.44 8.33 10 26.67
!Outdoor Dry Bulb Temperatures (C)
23.73875667 20.5
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 /-23.33
29.60017807 22
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 / -17.78
35.75467054 23.5
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 / -12.22
40.00420106 25
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 /-8.33
47.18444227 26.5
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 / -1.11
62.42413791 28
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 /4.44
69.01823699 29.5
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 /8.33
71.65587662 31
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 /10
81.03415086 32.5
!Heating Capacity(kW) and Power(kW) at 424.75/12.78 / 15.56
99
21.39418811 20.5
!Heating Capacity(kW) and Power(kW) at424.75/21.11/-23.33
27.40214505 22
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/ -17.78
33.55663752 23.5
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/ -12.22
37.80616803 25
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/-8.33
44.83987371 26.5
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/ -1.11
59.34689168 28
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/4.44
65.50138415 29.5
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/8.33
68.43209485 31
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/10
77.66383355 32.5
!Heating Capacity(kW) and Power(kW) at 424.75/21.11/ 15.56
19.19615509 20.5
!Heating Capacity(kW) and Power(kW) at424.75/26.67 /-23.33
25.35064756 22
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 / -17.78
100
31.65167556 23.5
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 / -12.22
36.04774161 25
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 /-8.33
43.08144729 26.5
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 / -1.11
57.14885865 28
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 /4.44
63.30335112 29.5
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 /8.33
66.08752629 31
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 /10
75.31926499 32.5
!Heating Capacity(kW) and Power(kW) at 424.75/26.67 / 15.56
23.73875667 20.5
!Heating Capacity(kW) and Power(kW) at3775/12.78 /-23.33
29.74671361 22
!Heating Capacity(kW) and Power(kW) at 3775/12.78 / -17.78
35.90120608 23.5
!Heating Capacity(kW) and Power(kW) at 3775/12.78 / -12.22
40.29727213 25
!Heating Capacity(kW) and Power(kW) at 3775/12.78 /-8.33
101
47.91711995 26.5
!Heating Capacity(kW) and Power(kW) at 3775/12.78 / -1.11
63.74295773 28
!Heating Capacity(kW) and Power(kW) at 3775/12.78 /4.44
70.19052127 29.5
!Heating Capacity(kW) and Power(kW) at 3775/12.78 /8.33
72.97469643 31
!Heating Capacity(kW) and Power(kW) at 3775/12.78 /10
82.20643514 32.5
!Heating Capacity(kW) and Power(kW) at 3775/12.78 / 15.56
21.54072365 20.5
!Heating Capacity(kW) and Power(kW) at3775/21.11/-23.33
27.69521612 22
!Heating Capacity(kW) and Power(kW) at 3775/21.11/ -17.78
33.99624412 23.5
!Heating Capacity(kW) and Power(kW) at 3775/21.11/ -12.22
38.24577464 25
!Heating Capacity(kW) and Power(kW) at 3775/21.11/-8.33
45.71908692 26.5
!Heating Capacity(kW) and Power(kW) at 3775/21.11/ -1.11
60.51917596 28
!Heating Capacity(kW) and Power(kW) at 3775/21.11/4.44
102
67.11327503 29.5
!Heating Capacity(kW) and Power(kW) at 3775/21.11/8.33
70.04398573 31
!Heating Capacity(kW) and Power(kW) at 3775/21.11/10
78.98265337 32.5
!Heating Capacity(kW) and Power(kW) at 3775/21.11/ 15.56
19.48922616 20.5
!Heating Capacity(kW) and Power(kW) at3775/26.67 /-23.33
25.79025416 22
!Heating Capacity(kW) and Power(kW) at 3775/26.67 / -17.78
32.2378177 23.5
!Heating Capacity(kW) and Power(kW) at 3775/26.67 / -12.22
36.63388375 25
!Heating Capacity(kW) and Power(kW) at 3775/26.67 /-8.33
43.9606605 26.5
!Heating Capacity(kW) and Power(kW) at 3775/26.67 / -1.11
58.32114293 28
!Heating Capacity(kW) and Power(kW) at 3775/26.67 /4.44
64.76870647 29.5
!Heating Capacity(kW) and Power(kW) at 3775/26.67 /8.33
67.55288164 31
!Heating Capacity(kW) and Power(kW) at 3775/26.67 /10
103
76.78462034 32.5
!Heating Capacity(kW) and Power(kW) at 3775/26.67 / 15.56
25.05757649 20.5
!Heating Capacity(kW) and Power(kW) at4715.89 /12.78 /-23.33
31.21206896 22
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 / -17.78
37.36656143 23.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 / -12.22
41.90916301 25
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 /-8.33
49.67554637 26.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 / -1.11
65.79445522 28
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 /4.44
71.94894769 29.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 /8.33
74.58658732 31
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 /10
83.67179049 32.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /12.78 / 15.56
23.006079 20.5
!Heating Capacity(kW) and Power(kW) at4715.89 /21.11/-23.33
104
29.307107 22
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/ -17.78
35.60813501 23.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/ -12.22
40.00420106 25
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/-8.33
47.47751334 26.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/ -1.11
62.86374452 28
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/4.44
69.31130806 29.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/8.33
71.94894769 31
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/10
80.88761532 32.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /21.11/ 15.56
20.95458151 20.5
!Heating Capacity(kW) and Power(kW) at4715.89 /26.67 /-23.33
27.40214505 22
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 / -17.78
33.84970859 23.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 / -12.22
105
38.24577464 25
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 /-8.33
45.71908692 26.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 / -1.11
60.66571149 28
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 /4.44
67.25981057 29.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 /8.33
70.04398573 31
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 /10
78.83611783 32.5
!Heating Capacity(kW) and Power(kW) at 4715.89 /26.67 / 15.56
107
Heat pump model
1st floor left (Btu/h)
1st floor right (Btu/h)
2nd floor left
(Btu/h)
2nd floor right
(Btu/h)
3rd floor left
(Btu/h)
3rd floor right
(Btu/h)
4th floor left (Btu/h)
4th floor right
(Btu/h)
5th floor left(Btu/h)
K-1 38400 64000 38400 64000 38400 64000 51200 64000 K-2 31400 31400 31400 15700 15700 DD-1 76800 115200 102400 115200 102400 102400 89600 102400 DD-2
15700 15700 15700 K-ADA
12800 12800 15500 12800 DD-ADA
12800 12800 12800 2B
29800 29800 HPU1-1 24800 HPU1-2 24800 HPU1-3
24800 HPU1-4 29200 HPU1-5
29200 HPU1-6
29200 HPU1-7
29200 HPU1-8
34000 HPU1-9 41400 HPU1-10
65600 HPU1-11
65600 HPU2-1
15700 HPU2-2
18200 HPU2-3
24800 HPU3-1
15700 HPU3-2
18200 HPU3-3
24800 HPU4-1
15700 HPU4-2
18200 HPU4-3
24800 HPU5-1
18200 HPU5-2
24800 Total 266800 277600 266400 185000 266400 185000 270400 185000 267700
108
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