Lecture Objectives:

• Discuss Project 1 and Final Project

• Learn about Photo Voltaic systems – Discuss HW3

• Discuss system of equations solvers - learn what large ES tools do behind GUI

Residential buildings(Part a & b in Project 1)

• It is very expensive to optimize each residential building• We optimize example buildings to develop local codes

UT Solar Decathlon 2007 Home Research Lab Test house (PRC)

Modeling for optimization of Home Research Lab (PSP)

Energy consumption in Austin’s residential house

2000 (15,600 kWh)Including gas

CoolingMiscellaneous

Range

Dryer

Heating

Lighting

Hot water

Refrigerator

Washer

Analyze impact of:• envelope• Internal loads • HVAC systemsConduct life cycle const analysis

See handout section

Commercial BuildingsBuilding

1) Optimization of building envelops

glass area ,shading,….

2) Effect of internal loads on energy consumption

..................

Systems

1) Impact of HVAC systems

2) Design of solar system (PV or hot water)

……………..

Life cycle cost analysis in each project

Final project topics:Software (eQUEST, BeOpt, EnergyPlus) basedYour model bases (modeling in Matlab like in HWs 1&2)

• Energy analysis of building form Integrated design course • Any other building or building system • Solar Decathlon 2015 house• Green house model

Detail Modeling (your model)• Heat recovery systems, • Attic problem,• Mass transfer (moisture,…)

Your ideas…

Requirement for the projectUndergrad students: Team project (2 or 3 members)

Grad students: Individual effort

Email me (till next Friday):• Final project group members • Project title• One paragraph (200-300 words) including

- Project objective - Methodology- Expected results

Any schematic drawing is welcome

HW3 Design of zero energy house

• Install a PV system on your house from your project 1-a

http://www.nrel.gov/gis/images/eere_pv/national_photovoltaic_2012-01.jpghttp://rredc.nrel.gov/solar/old_data/nsrdb/1961-1990/redbook/atlas/

Matrix equation

M × t = f

for each time step

b1T1 + +c1T2

+=f(Tair,T1,T2

)

a2T1 + b2T2

+ +c2T3+=f(T1

,T2, T3

)

a3T2 + b3T3

+ +c3T4+=f(T2

,T3 , T4

)

a6T5 + b6T6

+ =f(T5 ,T6

, Tair)

………………………………..

M × t = f

Modeling equation(linearized)

Energy balance for air unsteady-state heat transfer

HVAC

n

iairiairextip

n

iairiSii

airproom QTTmcTTAhTcV

1,_

1,

)(

F

C

L R

3

3

33

A air node

Ei

QHVAC

Example Tair is unknown and it is solved by system of equation :

System of equations (matrix) for single zone (room)

8 elements

x x x xx x x

x x xx x x

x xx x x

Three diagonal matrix for each element

xx x x

x x x

x

x

x x x xx x x

x x x xx x

x x x xx x

x x x x

x x x

x x

x

x

x

x

x

x

x

x

x x x xx x x x x

x

Air equation

System of equations for a building

4 rooms

Rom matrixesConnected by common wall elements and airflow in-between room – Airflow simulation program (for example CONTAM)

Energy Simulation program “meet” Airflow simulation program

Matrix for the whole building