CSH Cost analysis - CMI Marseille · •Historical scale factor •Scale factor •Payback period...
Transcript of CSH Cost analysis - CMI Marseille · •Historical scale factor •Scale factor •Payback period...
CSH Cost analysisThird workshop of the MENA CSP KIP - Amman
Sep 2018
STA-Solar José Manuel Nieto
www.sta-solar.com
Picture by rackam.com
Content
• CSH applications
• Historical cost evolution
• Historical scale factor
• Scale factor
• Payback period
• Optimal sizing
• Sizing criteria
• Surface requirements
• Practical configuration example
CSH Applications
Industrial Sector Application 60 80 100 120 140 280 300
Food and
Beverage
Sterilizing
Pasteurizing
Boiling
Washing
Drying
Heat Treatment
160 180 200 220 240 26040
Machinery
Drying
Cleaning
Mining
Nitrate melting
Mineral drying
processes
Copper electrolytic
refining
Paper
Manufacturing
Pulping
Bleaching
Cooking and Drying
Metal Surface
Treatment
Treatment,
electroplating
Bricks and
BlocksCuring
Textile Industry
Dyeing
Fixing
Drying, de-greasing
Bleaching
Pressing
Washing
Industrial Sector Application 80 100 120 140 280 300
Chemical
Industry
Distillation
Soaps
Synthetic Rubber
Various Chemical
Processes
Boiling
160 180 200 220 240 26040 60
All Industrial
Sectors
Industrial Solar
Cooling
Pre-heating of boiler
feed water
Plastic Industry
Separation
Drying
Distillation
Extension
Preparation
Blending
Historical evolution of
Capex
© STA 2018, data for chart sourced from International Energy Agency, Solar Heat for Industrial Processes and self-research
Projects are too diverse and the time series is too short to observe any significant trend
Influence of scale factor
Observed scale factor is low because of the great diversity among projects
© STA 2018, data for chart sourced from International Energy Agency, Solar Heat for Industrial Processes and self-research
© STA 2018
Component Scale factor (α)
Overall 0,8
Collectors 0,9
BoP 0,9
Engineering 0,8
Installation 0,7
CB = CA (SB / SA) α
A value of α less than unity implies increasing returns to scale
Scale factor : 0.6 rule
© STA 2018, data for chart sourced from International Energy Agency, Solar Heat for Industrial Processes and self-research
© STA 2018
Reference configuration
Site yearly radiation 2,300 KWh/m2·YrSolar multiple 6Solar field aperture area 6,500 m2Solar Field Thermal Power 5 MW-tEstimated cost (+/-28%) 1,700,000 USDSteam pressure 15 barSteam temperature 200 ºCAcummulator Capacity 12 tonSolar Steam Production 1 Yr 6,700 tonsConv. Steam Production 1 Yr 2,000 tonsSolar fraction 77%Solar spill fraction 1,600 tonsAnnual Solar Heat Output 5,000 MWh-t
A solar multiple of 1 is the aperture area required to deliver the nominal heat demand at noon on the Summer solstice day
Boiler
Storage
Solar field
The solar fraction is the % of heat supplied by the solar plant
© STA 2018
Payback period
is the length of time required to recover thecost of an investment that will be recoveredas savings in fuel.
The annual savings for year “i” are calculatedas:
𝑆𝑎𝑣𝑖𝑛𝑔𝑠𝑖 = 𝐶𝑜𝑠𝑡 𝑜𝑓 𝑠𝑎𝑣𝑒𝑑 𝑓𝑢𝑒𝑙𝑖 − 𝑂&𝑀𝑖
And the payback period is the number ofyears, n, when the savings add-up to theinvestment:
𝐶𝑎𝑝𝑒𝑥 ≤
𝑖=0
𝑛
𝑆𝑎𝑣𝑖𝑛𝑔𝑠𝑖
Solar fraction vs. payback period with 2,300 KWh/m2·Yr DNI in 24/7 plant and 1h storage
© STA 2018
Payback period
CSH is competitive versus high-pricedfuels such as Fuel Oil and Gasoil.
Adding storage slightly increases thepayback, but it has the advantage ofenabling higher solar fractions becauseit reduces solar energy spillage.
Storage is also necessary for technicalreasons, mainly to stabilize the outputcharacteristics and to compensate fordemand fluctuations.
Solar fraction vs. payback period with 2,300 KWh/m2·Yr DNI in 24/7 plant and 4h storage
© STA 2018
Cost of heat
𝑠𝐿𝐶𝑂𝐻 =𝐶𝑎𝑝𝑖𝑡𝑎𝑙 𝐶𝑜𝑠𝑡 · 𝐶𝑅𝐹 + 𝐴𝑛𝑛𝑢𝑎𝑙 𝑂&𝑀 𝐶𝑜𝑠𝑡 + 𝐴𝑛𝑛𝑢𝑎𝑙 𝐹𝑢𝑒𝑙 𝐶𝑜𝑠𝑡
𝐴𝑛𝑛𝑢𝑎𝑙 𝑇ℎ𝑒𝑟𝑚𝑎𝑙 𝑂𝑢𝑡𝑝𝑢𝑡
The simplified cost of heat (sLCOH) reflects the cost of capital, O&M and fuel over the life span of the project. This can be expressed with the formula:
𝐶𝑅𝐹 =𝑖 · 1 + 𝑖 𝑛
1 + 𝑖 𝑛 − 1
The Capital recovery factor (CRF) reflects the effort to rquired recover the invested capital is recovered. It depends on the discount rate, i, and the number of years, n, to recover the investment.
© STA 2018
CRF Assumptions
i = discount rate 4%
n = number of years 10
CRF 0.12
© STA 2018
Optimal sizing
A solar field does not output a constantamount of heat every day because thereare variations due to seasonal orweather conditions. Some days, it mayproduce too much heat and it will needto be de-focused. This loss of primaryenergy is called spillage.
Spillage causes an increase in the cost ofheat. When it is above 20%, the sLCOHclimbs 10 USD for every 10% increase ofspillage.
Spillage vs. levelized cost of heat with 2,300 KWh/m2·Yr DNI in 24/7 plant
© STA 2018
Optimal sizing
When the solar multiple increases, sodoes the solar fraction of heat that issupplied to the process and the spillageof primary energy.
From a solar-fraction point of view,storage becomes essential to minimizethis spillage and thus bring down thecost of heat.
The marginal increase of sLCOH withsolar fraction has a strong dependenceof the storage capacity of the plantwhen 24 hours supply is needed.
Solar fraction vs. solar-only sLCOH with 2,300 KWh/m2·Yr DNI in 24/7 plant
© STA 2018, data for chart sourced from International Energy Agency, Solar Heat for Industrial Processes and self-research
© STA 2018
Sizing criteria
- Minimum Payback
Short-term approach
- Maximum savings in operating costs
Long-term approach
- Space availability restrictions
Compromise
Solar fraction vs. combined (solar + conventional) sLCOH with 2,300 KWh/m2·Yr DNI in 24/7 plant
© STA 2018, data for chart sourced from International Energy Agency, Solar Heat for Industrial Processes and self-research
Surface requirements
Linear Fresnel allows a more compact installation, but the output pattern has a peak at noon, which increases the need for storage.
TechnologyLand occupancy
m2/MWh-t·Yr
Parabolic trough 6-8
Linear Fresnel 4-6
Above figures assume a minimum field length of 80 m for linear a Fresnel and 50 m for a parabolic-trough
© STA 2018, data for tables simulated with SAM software (NREL) and self-research
Land usage - 8 hours/day
Hourly consumption(ton/h)
Yearly consump.
(MWh-t/Yr)Parabolic T.
(m x m)Linear F.(m x m)
0.5 1,100 50 x 50 80 x 201 2,200 50 x 100 80 x 402 4,400 100 x 100 80 x 705 10,900 150 x 170 80 x 170
10 21,800 250 x 210 160 x 17020 43,600 300 x 350 240 x 23040 87,200 450 x 460 320 x 350
Land usage - 24 hours/day
Hourly consumption(ton/h)
Yearly consump.
(MWh-t/Yr)Parabolic T.
(m x m)Linear F.(m x m)
0.5 7,800 100 x 80 80 x 501 6,500 100 x 160 80 x 1002 13,100 200 x 160 160 x 1005 32,700 300 x 260 240 x 170
10 65,400 400 x 390 320 x 26020 130,700 550 x 570 400 x 42040 261,500 800 x 780 560 x 590
Practical configuration example
Goal: compare options to lower heat expenses with solar energy and provide decision criteria
Supply charactristics
Demand 3 ton/h
Hours per day 14 h
Pressure 8 barg
Factory Start 8
Factory Stop 21
Heat cap. factor 33%
Yearly consumption 4,745 ton
Current cost of heat
Fuel Gasoil
Cost 0.66 USD/liter
Cost per MWh-t 65.9 USD/MWh-t
Yearly fuel escalation 2.9%
sLCOH63 USD/ton
86 USD/MWh-t
Operation cost(O&M + fuel)
58 USD/ton
78 USD/MWh-t
Photo: courtesy African Improved Foods
Financial Assumptions
Expected ROE 10%
Loan interest 3%
Percent Debt 80%
Corporate Tax Rate 20%
i = discount rate = WACC 3.9%
n = number of years 10
CRF CSP 0.12
Spec. Inv. (USD/KWh-t)Solar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 391 347 329 347 374 410
1 401 355 337 339 354 376
2 418 370 352 349 352 379
4 448 397 377 375 375 402
SpillSolar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 0% 0% 2% 11% 21% 30%
1 0% 0% 2% 7% 14% 22%
2 0% 0% 2% 6% 10% 19%
4 0% 0% 2% 6% 9% 18%
PaybackSolar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 5 4.3 4.1 4.3 4.8 5.3
1 5.2 4.5 4.2 4.2 4.5 4.8
2 5.4 4.7 4.4 4.4 4.4 4.9
4 5.9 5.1 4.8 4.8 4.8 5.2
Criterion 1 : Minimum payback
Minimum payback period is achieved by:
- minimizing the spill; and
- keeping size big enough so that scale factor does not penalize the investment / KWh
Cost of heat (USD/KWh-t)Solar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 75.1 69.3 63.7 62.2 63.0 65.7
1 75.3 69.8 64.3 60.7 59.5 60.3
2 75.7 70.5 65.3 61.4 58.3 60.0
4 76.5 71.9 67.2 63.8 60.7 62.5
Spec. Inv. (USD/KWh-t)Solar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 391 347 329 347 374 410
1 401 355 337 339 354 376
2 418 370 352 349 352 379
4 448 397 377 375 375 402
Solar fractionSolar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 18% 36% 53% 64% 71% 76%
1 18% 36% 53% 67% 77% 85%
2 18% 36% 53% 68% 81% 88%
4 18% 36% 53% 68% 82% 89%
Criterion 2: Minimum cost of heat
Minimum cost of heat is achieved by:
- Adding solar field until the combined solar + conventional cost reaches a minimum
PaybackSolar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 5 4.3 4.1 4.3 4.8 5.3
1 5.2 4.5 4.2 4.2 4.5 4.8
2 5.4 4.7 4.4 4.4 4.4 4.9
4 5.9 5.1 4.8 4.8 4.8 5.2
Spec. Inv. (USD/KWh-t)Solar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 391 347 329 347 374 410
1 401 355 337 339 354 376
2 418 370 352 349 352 379
4 448 397 377 375 375 402
Solar fractionSolar field aperture (m2)
Storage (h.) 1,000 2,000 3,000 4,000 5,000 6,000
0.5 18% 36% 53% 64% 71% 76%
1 18% 36% 53% 67% 77% 85%
2 18% 36% 53% 68% 81% 88%
4 18% 36% 53% 68% 82% 89%
Criterion 3: Adapt to available space
If only so much space is available to install the solar field, the project will be feasible if it still has an acceptable payback period.
Linear Fresnel collectors may have a advantage in this situation because they require less land.
Comparison between criteria
Minimum payback has the lowest risk but also the lowest reward.
Minimum cost of heat has the highest risk but produces optimal results in the long run
A solution is possible if insufficient space is available so long as it results in some savings in heat cost
1. Plot size assumes parabolic trough, linear Fresnel require about half of the surface
Current cost of producing heat with gasoil (Fuel + O&M) = 78 USD/MWh-t
OutputsMinimum payback
Minimum cost of heat
Restricted space
Investment 922,000 1,503,000 372,000 USD
Solar heat 3,786 5,776 1,286 tons
Total heat 7,118 7,118 7,118 tons
Solar fraction 53% 81% 18%
Payback 4.1 4.4 5.0 years
New cost of heat 64 58 75 USD/MWh-t
Savings 14 20 3 USD/MWh-t
Cost of heat after payback 37 18 61 USD/MWh-t
Current expense on fuel 411,700 411,700 411,700 USD/Yr
Avoided fuel first year 184,700 281,800 62,700 USD
Plot size 7,900 13,200 2,600 m2
CSH Cost analysisThird workshop of the MENA CSP KIP - Amman
Sep 2018
STA-Solar José Manuel Nieto
www.sta-solar.com
Picture by rackam.com