SlideShare a Scribd company logo
7
Most read
9
Most read
14
Most read
PVSYST SA - Route du Bois-de-Bay 107 - 1242 Satigny - Suisse
www.pvsyst.com
Any reproduction or copy of the course support, even partial, is forbidden without a written authorization of the author.
Optimization strategies with Pvsyst
for large scale PV installations
Bruno Wittmer
bruno.wittmer@pvsyst.com
Page 2Page 2
• Introduction
• Batch simulations
• Optimization
– Basic results
– Economical evaluations
• Summary and Outlook
Page 3Page 3
Motivation
• Optimization process is often long and tedious
− Multivariate optimization
− Variables can have non-intuitive effects
− Often variables have complex correlations
• Optimization can be driven by different figures of merit
− ‘Technical’ Measures (EGrid, PR, etc. )
− Economic Measures (Returns, Payback, LCOE, etc.)
• Some design variables of a PV installation can be varied continuously
(‘Batch Simulations’)
− This allows a more comprehensive analysis
− Move from single simulation variants to batch simulations
Page 4Page 4
Reference Project
• Be as specific as possible without compromising variation of batch parameters
Reference Project
Layout 40 sheds, 3 rows per shed
Modules Generic 250 W module
Inverters Generic 500 kW inverter
Power 11520 modules, Pnom = 2.88 GWp
Shadings According to strings ( & linear)
Meteo Input Meteonorm 6.1 for Geneva
No additional shading objects !
Large system
Page 5Page 5
Batch simulations
• PVsyst needs a CVS file with the parameters for
the simulations
• Parameter filling and analysis were performed
with a framework written in the R language
Reference
Project
Parameter and
Results selection
Template
CSV File
Batch
Execution
Results
CSV File
Parameter
Filling
Analysis and
Plotting
Page 6Page 6
Batch parameters
• Several simulation parameters can be varied in the batch simulations
• For this presentation only Tilt and Pitch were used
• More parameters will be added in the coming versions
Site and Meteo
• Site • Meteo File
Orientation
• Tilt • Azimuth
3D Shading
• Pitch N-S • Shed width
System
• PV module • Rserie
• Rshunt • Rshunt(0)
• Nr. Mod. Series • Nr. strings
• Module Qlty loss • Inverter model
• Nr. Inverters or MPPT
Page 7Page 7
Ground Covering Ratio (GCR) and Pitch
• PVsyst will vary the pitch in the batch simulations
• The plots in this presentation use the GCR
• For homogeneous sheds the GCR is defined as Width/Pitch
• Assuming that the system scales with the size, one can renormalize to a
given area
Reference Project
Width 3.04 m
Pitch 6.8 m
GCR 45%
Batch Simulation
GCR 10% – 100% in steps of 2%
Pitch 30.4 m – 3.04 m, variable steps
Page 8Page 8
Input and Output Variables
• Input Variables added to the CSV template file:
2300 Simulations take
around 3h computing time
Param. Range Step Nr. steps
Tilt 1° - 50° 1° 50
GCR 10% – 100% 2% 45
Pitch 30.4 m – 3.04 m variable 45
• Output as CSV file(s):
− All PVsyst simulation variables can be chosen for output
Between 60 and 90 variables depending on simulation type
− Output is saved as yearly sums
− Optionally: create hourly values for each simulation (not used here)
• Output variables in this presentation:
− Mostly EGrid
Page 9Page 9
What are the best GCR and Tilt?
• Most simple measure is Egrid
• One could also use EArray and optimize the
inverter in a second step
• Optimal Tilt lies on the grey line
• Performance Ratio is not a good measure
• Fails to recognize different incident Energy
as function of Tilt
• Inherent to definition of PR
Optimal Tilt
for given GCR
Page 10Page 10
Fixed Pnom or fixed area?
• EGrid: scenario with fixed Pnom
• EGrid/pitch: scenario with fixed area
• Optimal Tilt line is the same for both
fixed Pnom
fixed area
Note the
different scale ‼
• GCR = 0 is not possible
The surface has a cost
• GCR = 1 might not be profitable,
because Pnom has some cost and
Egrid some different revenue
Also economical aspects decide
where the optimal solution lies
Page 11Page 11
Basic Economic Analysis
• Simplified Financial analysis:
Balance = Revenues - Costs
• The most profitable scenario is in
between the extremes GCR = 0 or 1
Pnom Area
Investment 1500 $ / kWp 8 $ / m2
O&M 29 $ / kWp yr 0.03 $ / m2 yr
Return 0.13 $ / kWh
Timespan 16 years
fixed Pnom
fixed area
Timespan is not necessarily
the system lifetime
Page 12Page 12
Profitability as function of time
• The best system design can be a function of
time horizon
• Optimizing short term returns neglects future
benefits
• Very sensitive to financial input variables
• This kind of analysis helps to get a feeling for
the sensitivity to different variables
12 years
14 years
16 years
18 years
Fixed area scenario
Page 13Page 13
More complex economical analysis
• Levelized Cost of Energy (LCOE)
• Discounted Payback Period (DPB)
𝐿𝐶𝑂𝐸 =
𝐶 𝑛
1 + 𝑑 𝑛
𝑁
𝑛=0
÷
𝑄 𝑛
1 + 𝑑 𝑛
𝑁
𝑛=1
Cn : Costs in year n
Qn : Energy output / saving in year n
d : discount rate
∆𝐼 𝑛
1 + 𝑑 𝑛
𝐷𝑃𝐵
𝑛=0
≤
∆𝑆 𝑛
1 + 𝑑 𝑛
𝐷𝑃𝐵
𝑛=1
DIn : Incremental investment costs
DSn : Annual savings net of future annual costs
d : discount rate
• IRR, NPV, etc… * W. Short, D.J. Packey, T. Holt, ‘A Manual for Economic Evaluation of Energy Efficiency and Renewable
Energy Technologies’, March 1995, NREL/TP-462-5173
*
*
Page 14Page 14
Boundary conditions
• Boundary conditions help to zero in on
optimal solution
• For example:
− Clearance between sheds
− Maximum / Minimum EGrid
− Maximum payback period
− etc.
• It can also help to identify weaknesses
(like losses due to clearance, sizing too
close to limits, etc.)
fixed Pnom
fixed area
Page 15Page 15
Net Metering
Load peaking at noon,
Constant over the year
Constant self-consumption
favors winter layout
• Best solution depends on price ratio of saved and sold energy
summer layout
winter layout
Page 16Page 16
More Examples
• Any figure that can be expressed as function of the design space, Pnom, area and
the output variables, is a potential candidate for an optimization plot
Life Cycle Emissions
Pnom Area
Construction 150 kgCO2 / kWp 80 kg CO2 / m2
O&M 100 g CO2 / kWp yr 3 gCO2 / m2 yr
Avoided 0.5 kgCO2 / kWh
Timespan 16 years
Page 17Page 17
fixed area
Summary
• Batch simulations allow systematic variation of design
parameters
• For large installations we assume scalability of
variables
• Optimal configuration can quickly be found
• Scenario can be adapted
(fixed area vs. fixed Pnom)
• Figures of merit give a measure for optimization
• Boundary conditions constrain design space and help
to identify the optimal solution
fixed Pnom
This optimization is a guide towards the best design, it does
not replace a detailed simulation of the final design choice
Page 18Page 18
Outlook
Further analysis
− Additional economic measures
− Superimposing of plots
− Simulation with variable grid tariffs
− Study variable E-W orientation
Implementation in PVsyst
• Add more batch parameters and output variables
− Number of sheds
− Consider also tracking devices
− Output variables of financial evaluation
• Simplify the use of batch simulations
− Automatic generation of batch parameter files
− Parallel processing
• Integrate visualization of batch results into PVsyst

More Related Content

PPTX
Solar Power Plant Design and PV Syst
PPTX
Grid connected pv solar power plant
PDF
Photovoltaic Training - Session 1 - Design
PPTX
Grid-connected PV system
PPTX
Solar rooftop presentation
PPTX
Solar energy(Renewable source)
PPT
Solar photovoltaic powerpoint
PPTX
1. Solar Power Plant Technologies
Solar Power Plant Design and PV Syst
Grid connected pv solar power plant
Photovoltaic Training - Session 1 - Design
Grid-connected PV system
Solar rooftop presentation
Solar energy(Renewable source)
Solar photovoltaic powerpoint
1. Solar Power Plant Technologies

What's hot (20)

PDF
Photovoltaic Training - Session 4 - Plant Maintenance
PPTX
Study of Large Scale Grid interactive Solar PV power plant
PPT
Solar Power Plant System Sizing
PPTX
Financial analysis of 1 MW Solar PV plant
DOCX
10 mw solar power plant
PPT
Solar Photovoltaic Power Plant
PDF
Solar Panel Installation Proposal PowerPoint Presentation Slides
PDF
Roofsol Energy - O&M Presentation
PPTX
Solar O&M Presentation Intersolar 2013
PDF
Steps to simulate grid connected solar pv project through PVSyst Software
PPTX
Webinar 02 demonstration of pv system design pvsyst
PDF
Presentation on a grid connected Solar PV system
PPTX
Rooftop PV System Shubham Gaurav
PPTX
Solar pv connected to grid
PPTX
Solar pv systems
PPTX
DUAL AXIS SOLAR TRACKER USING ARDUINO
PDF
SunAlpha Zero-Down Solar PPA
PPTX
Designing Solar PV Systems (Rooftops)
PDF
Rooftop Solar Systems
PPTX
Project Proposal on 10 MW Solar PV Power Plant
Photovoltaic Training - Session 4 - Plant Maintenance
Study of Large Scale Grid interactive Solar PV power plant
Solar Power Plant System Sizing
Financial analysis of 1 MW Solar PV plant
10 mw solar power plant
Solar Photovoltaic Power Plant
Solar Panel Installation Proposal PowerPoint Presentation Slides
Roofsol Energy - O&M Presentation
Solar O&M Presentation Intersolar 2013
Steps to simulate grid connected solar pv project through PVSyst Software
Webinar 02 demonstration of pv system design pvsyst
Presentation on a grid connected Solar PV system
Rooftop PV System Shubham Gaurav
Solar pv connected to grid
Solar pv systems
DUAL AXIS SOLAR TRACKER USING ARDUINO
SunAlpha Zero-Down Solar PPA
Designing Solar PV Systems (Rooftops)
Rooftop Solar Systems
Project Proposal on 10 MW Solar PV Power Plant
Ad

Viewers also liked (20)

PDF
PVsysts new framework to simulate bifacial systems
PDF
2014 PV Performance Modeling Workshop: Pvsyst Updates since 2013: Bruno Wittm...
PDF
Modeling the Irradiance and Temperature Dependence of PV Modules in PVsyst
PDF
Design Optimization using the Latest Features in HelioScope
PDF
PV solar Design and Installtion
PPTX
10 MW Solar PV power Plant - CPM & PERT, Design
PDF
Analysis of PVSyst Loss Diagram
PDF
2014 PV Performance Modeling Workshop: Satellite Irradiance Models and Datase...
PDF
2014 PV Performance Modeling Workshop: Irradiance- and Temperature-dependent ...
PDF
Performance analysis of mono crystalline silicon technology with different or...
PDF
PDF
Ps600 c-sj5-8
PDF
04.15.15 energy design assistance program tracker 2
PDF
Dissecting the Differences Between Pyranometer and Reference Cell Irradiance ...
PDF
Besf building renewal_021815
PDF
High Performing Collaboration
PDF
orange blue dear red
PDF
Cowhorn Vineyard + Garden Tasting Room
PDF
Modeling the Incidence Angle Dependence of PV Modules in PVsyst
PVsysts new framework to simulate bifacial systems
2014 PV Performance Modeling Workshop: Pvsyst Updates since 2013: Bruno Wittm...
Modeling the Irradiance and Temperature Dependence of PV Modules in PVsyst
Design Optimization using the Latest Features in HelioScope
PV solar Design and Installtion
10 MW Solar PV power Plant - CPM & PERT, Design
Analysis of PVSyst Loss Diagram
2014 PV Performance Modeling Workshop: Satellite Irradiance Models and Datase...
2014 PV Performance Modeling Workshop: Irradiance- and Temperature-dependent ...
Performance analysis of mono crystalline silicon technology with different or...
Ps600 c-sj5-8
04.15.15 energy design assistance program tracker 2
Dissecting the Differences Between Pyranometer and Reference Cell Irradiance ...
Besf building renewal_021815
High Performing Collaboration
orange blue dear red
Cowhorn Vineyard + Garden Tasting Room
Modeling the Incidence Angle Dependence of PV Modules in PVsyst
Ad

Similar to 2014 PV Performance Modeling Workshop: Optimization strategies with Pvsyst for large scale PV installations: Bruno Wittmer, Pvsyst (20)

PPTX
On Grid Off Grid SPV plant
PDF
21 paper id 0019 edit septian
PDF
E41042937
PDF
Algorithms for the control and sizing of renewable energy communities
PDF
Energy management and cost optimization using solar energy
PDF
A42030110
PDF
Renewable Energy
PPTX
Thesis Presentation - Mohamed Allam_2
PDF
PVsyst_Tutorials_V7_Grid_Connected.pdf
PPT
Power systems (1)
PDF
Optimization of Photovoltaic wind battery energy based microgrid
PPT
Power systems (2)
PDF
IRJET-System Analysis and Optimization of Photovoltaic –Wind Hybrid System: R...
PDF
MA_Presentation_TUM
PPTX
NABCEP Exam Prep Review for PV Installation & Tech Sales 
PPTX
Cutter - E3 Valuing Storage short
PDF
Tarec in renewable energy - pv intro eng v1.1
PDF
IRJET- Loss of Load Probability Method Applicability Limits as Function o...
PPTX
Presentation SIW7 amjad anvari-moghaddam
PPTX
oberseminar2016
On Grid Off Grid SPV plant
21 paper id 0019 edit septian
E41042937
Algorithms for the control and sizing of renewable energy communities
Energy management and cost optimization using solar energy
A42030110
Renewable Energy
Thesis Presentation - Mohamed Allam_2
PVsyst_Tutorials_V7_Grid_Connected.pdf
Power systems (1)
Optimization of Photovoltaic wind battery energy based microgrid
Power systems (2)
IRJET-System Analysis and Optimization of Photovoltaic –Wind Hybrid System: R...
MA_Presentation_TUM
NABCEP Exam Prep Review for PV Installation & Tech Sales 
Cutter - E3 Valuing Storage short
Tarec in renewable energy - pv intro eng v1.1
IRJET- Loss of Load Probability Method Applicability Limits as Function o...
Presentation SIW7 amjad anvari-moghaddam
oberseminar2016

More from Sandia National Laboratories: Energy & Climate: Renewables (20)

PDF
M4 sf 18sn010303061 8th us german 020918 lac reduced sand2018-1339r
PDF
Sand2018 0581 o metadata for presentations 011918 lac
PPTX
11 Testing Shear Strength and Deformation along Discontinuities in Salt
PPTX
10 Current status of research in the Joint Project WEIMOS
PPTX
26 Current research on deep borehole disposal of nuclear spent fuel and high-...
PPTX
25 Basin-Scale Density-Dependent Groundwater Flow Near a Salt Repository
PPTX
24 Actinide and brine chemistry in salt repositories: Updates from ABC Salt (V)
PPTX
23 Sandia’s Salt Design Concept for High Level Waste and Defense Spent Nuclea...
PPTX
22 WIPP Future Advancements and Operational Safety
PPTX
21 WIPP recovery and Operational Safety
PPTX
20 EPA Review of DOE’s 2014 Compliance Recertification Application for WIPP
PPTX
19 Repository designs in bedded salt, the KOSINA-Project
PPTX
18 Interaction between Operational Safety and Long-Term Safety (Project BASEL)
PPTX
16 Reconsolidation of granular salt (DAEF report)
PPTX
PPTX
14 Radiological Consequences Analysis for a HLW Repository in Bedded Salt in ...
PPTX
13 "New results of the KOSINA project - Generic geological models / Integrity...
PPTX
12 Salt testing: Low deviatoric stress data
PDF
09 Invited Lecture: Salt Creep at Low Deviatoric Stress
M4 sf 18sn010303061 8th us german 020918 lac reduced sand2018-1339r
Sand2018 0581 o metadata for presentations 011918 lac
11 Testing Shear Strength and Deformation along Discontinuities in Salt
10 Current status of research in the Joint Project WEIMOS
26 Current research on deep borehole disposal of nuclear spent fuel and high-...
25 Basin-Scale Density-Dependent Groundwater Flow Near a Salt Repository
24 Actinide and brine chemistry in salt repositories: Updates from ABC Salt (V)
23 Sandia’s Salt Design Concept for High Level Waste and Defense Spent Nuclea...
22 WIPP Future Advancements and Operational Safety
21 WIPP recovery and Operational Safety
20 EPA Review of DOE’s 2014 Compliance Recertification Application for WIPP
19 Repository designs in bedded salt, the KOSINA-Project
18 Interaction between Operational Safety and Long-Term Safety (Project BASEL)
16 Reconsolidation of granular salt (DAEF report)
14 Radiological Consequences Analysis for a HLW Repository in Bedded Salt in ...
13 "New results of the KOSINA project - Generic geological models / Integrity...
12 Salt testing: Low deviatoric stress data
09 Invited Lecture: Salt Creep at Low Deviatoric Stress

Recently uploaded (20)

PDF
Items # 6&7 - 900 Cambridge Oval Right-of-Way
PPTX
Introduction_to_the_Study_of_Globalization.pptx
PPTX
Inferenceahaiajaoaakakakakakakakakakakakakaka
PPTX
26.1.2025 venugopal K Awarded with commendation certificate.pptx
PPTX
Omnibus rules on leave administration.pptx
PDF
Item # 3 - 934 Patterson Final Review.pdf
PDF
oil palm convergence 2024 mahabubnagar.pdf
PPTX
Vocational Education for educational purposes
PPTX
Nur Shakila Assesmentlwemkf;m;mwee f.pptx
PDF
ISO-9001-2015-internal-audit-checklist2-sample.pdf
PDF
buyers sellers meeting of mangoes in mahabubnagar.pdf
PDF
Abhay Bhutada and Other Visionary Leaders Reinventing Governance in India
PPTX
DFARS Part 249 - Termination Of Contracts
PPT
generalgeologygroundwaterchapt11-181117073208.ppt
PPTX
11Sept2023_LTIA-Cluster-Training-Presentation.pptx
PDF
PPT Item #s 2&3 - 934 Patterson SUP & Final Review
PPTX
GOVERNMENT-ACCOUNTING1. bsa 4 government accounting
PDF
26.1.2025 venugopal K Awarded with commendation certificate.pdf
PPTX
SOMANJAN PRAMANIK_3500032 2042.pptx
PDF
Creating Memorable Moments_ Personalized Plant Gifts.pdf
Items # 6&7 - 900 Cambridge Oval Right-of-Way
Introduction_to_the_Study_of_Globalization.pptx
Inferenceahaiajaoaakakakakakakakakakakakakaka
26.1.2025 venugopal K Awarded with commendation certificate.pptx
Omnibus rules on leave administration.pptx
Item # 3 - 934 Patterson Final Review.pdf
oil palm convergence 2024 mahabubnagar.pdf
Vocational Education for educational purposes
Nur Shakila Assesmentlwemkf;m;mwee f.pptx
ISO-9001-2015-internal-audit-checklist2-sample.pdf
buyers sellers meeting of mangoes in mahabubnagar.pdf
Abhay Bhutada and Other Visionary Leaders Reinventing Governance in India
DFARS Part 249 - Termination Of Contracts
generalgeologygroundwaterchapt11-181117073208.ppt
11Sept2023_LTIA-Cluster-Training-Presentation.pptx
PPT Item #s 2&3 - 934 Patterson SUP & Final Review
GOVERNMENT-ACCOUNTING1. bsa 4 government accounting
26.1.2025 venugopal K Awarded with commendation certificate.pdf
SOMANJAN PRAMANIK_3500032 2042.pptx
Creating Memorable Moments_ Personalized Plant Gifts.pdf

2014 PV Performance Modeling Workshop: Optimization strategies with Pvsyst for large scale PV installations: Bruno Wittmer, Pvsyst

  • 1. PVSYST SA - Route du Bois-de-Bay 107 - 1242 Satigny - Suisse www.pvsyst.com Any reproduction or copy of the course support, even partial, is forbidden without a written authorization of the author. Optimization strategies with Pvsyst for large scale PV installations Bruno Wittmer bruno.wittmer@pvsyst.com
  • 2. Page 2Page 2 • Introduction • Batch simulations • Optimization – Basic results – Economical evaluations • Summary and Outlook
  • 3. Page 3Page 3 Motivation • Optimization process is often long and tedious − Multivariate optimization − Variables can have non-intuitive effects − Often variables have complex correlations • Optimization can be driven by different figures of merit − ‘Technical’ Measures (EGrid, PR, etc. ) − Economic Measures (Returns, Payback, LCOE, etc.) • Some design variables of a PV installation can be varied continuously (‘Batch Simulations’) − This allows a more comprehensive analysis − Move from single simulation variants to batch simulations
  • 4. Page 4Page 4 Reference Project • Be as specific as possible without compromising variation of batch parameters Reference Project Layout 40 sheds, 3 rows per shed Modules Generic 250 W module Inverters Generic 500 kW inverter Power 11520 modules, Pnom = 2.88 GWp Shadings According to strings ( & linear) Meteo Input Meteonorm 6.1 for Geneva No additional shading objects ! Large system
  • 5. Page 5Page 5 Batch simulations • PVsyst needs a CVS file with the parameters for the simulations • Parameter filling and analysis were performed with a framework written in the R language Reference Project Parameter and Results selection Template CSV File Batch Execution Results CSV File Parameter Filling Analysis and Plotting
  • 6. Page 6Page 6 Batch parameters • Several simulation parameters can be varied in the batch simulations • For this presentation only Tilt and Pitch were used • More parameters will be added in the coming versions Site and Meteo • Site • Meteo File Orientation • Tilt • Azimuth 3D Shading • Pitch N-S • Shed width System • PV module • Rserie • Rshunt • Rshunt(0) • Nr. Mod. Series • Nr. strings • Module Qlty loss • Inverter model • Nr. Inverters or MPPT
  • 7. Page 7Page 7 Ground Covering Ratio (GCR) and Pitch • PVsyst will vary the pitch in the batch simulations • The plots in this presentation use the GCR • For homogeneous sheds the GCR is defined as Width/Pitch • Assuming that the system scales with the size, one can renormalize to a given area Reference Project Width 3.04 m Pitch 6.8 m GCR 45% Batch Simulation GCR 10% – 100% in steps of 2% Pitch 30.4 m – 3.04 m, variable steps
  • 8. Page 8Page 8 Input and Output Variables • Input Variables added to the CSV template file: 2300 Simulations take around 3h computing time Param. Range Step Nr. steps Tilt 1° - 50° 1° 50 GCR 10% – 100% 2% 45 Pitch 30.4 m – 3.04 m variable 45 • Output as CSV file(s): − All PVsyst simulation variables can be chosen for output Between 60 and 90 variables depending on simulation type − Output is saved as yearly sums − Optionally: create hourly values for each simulation (not used here) • Output variables in this presentation: − Mostly EGrid
  • 9. Page 9Page 9 What are the best GCR and Tilt? • Most simple measure is Egrid • One could also use EArray and optimize the inverter in a second step • Optimal Tilt lies on the grey line • Performance Ratio is not a good measure • Fails to recognize different incident Energy as function of Tilt • Inherent to definition of PR Optimal Tilt for given GCR
  • 10. Page 10Page 10 Fixed Pnom or fixed area? • EGrid: scenario with fixed Pnom • EGrid/pitch: scenario with fixed area • Optimal Tilt line is the same for both fixed Pnom fixed area Note the different scale ‼ • GCR = 0 is not possible The surface has a cost • GCR = 1 might not be profitable, because Pnom has some cost and Egrid some different revenue Also economical aspects decide where the optimal solution lies
  • 11. Page 11Page 11 Basic Economic Analysis • Simplified Financial analysis: Balance = Revenues - Costs • The most profitable scenario is in between the extremes GCR = 0 or 1 Pnom Area Investment 1500 $ / kWp 8 $ / m2 O&M 29 $ / kWp yr 0.03 $ / m2 yr Return 0.13 $ / kWh Timespan 16 years fixed Pnom fixed area Timespan is not necessarily the system lifetime
  • 12. Page 12Page 12 Profitability as function of time • The best system design can be a function of time horizon • Optimizing short term returns neglects future benefits • Very sensitive to financial input variables • This kind of analysis helps to get a feeling for the sensitivity to different variables 12 years 14 years 16 years 18 years Fixed area scenario
  • 13. Page 13Page 13 More complex economical analysis • Levelized Cost of Energy (LCOE) • Discounted Payback Period (DPB) 𝐿𝐶𝑂𝐸 = 𝐶 𝑛 1 + 𝑑 𝑛 𝑁 𝑛=0 ÷ 𝑄 𝑛 1 + 𝑑 𝑛 𝑁 𝑛=1 Cn : Costs in year n Qn : Energy output / saving in year n d : discount rate ∆𝐼 𝑛 1 + 𝑑 𝑛 𝐷𝑃𝐵 𝑛=0 ≤ ∆𝑆 𝑛 1 + 𝑑 𝑛 𝐷𝑃𝐵 𝑛=1 DIn : Incremental investment costs DSn : Annual savings net of future annual costs d : discount rate • IRR, NPV, etc… * W. Short, D.J. Packey, T. Holt, ‘A Manual for Economic Evaluation of Energy Efficiency and Renewable Energy Technologies’, March 1995, NREL/TP-462-5173 * *
  • 14. Page 14Page 14 Boundary conditions • Boundary conditions help to zero in on optimal solution • For example: − Clearance between sheds − Maximum / Minimum EGrid − Maximum payback period − etc. • It can also help to identify weaknesses (like losses due to clearance, sizing too close to limits, etc.) fixed Pnom fixed area
  • 15. Page 15Page 15 Net Metering Load peaking at noon, Constant over the year Constant self-consumption favors winter layout • Best solution depends on price ratio of saved and sold energy summer layout winter layout
  • 16. Page 16Page 16 More Examples • Any figure that can be expressed as function of the design space, Pnom, area and the output variables, is a potential candidate for an optimization plot Life Cycle Emissions Pnom Area Construction 150 kgCO2 / kWp 80 kg CO2 / m2 O&M 100 g CO2 / kWp yr 3 gCO2 / m2 yr Avoided 0.5 kgCO2 / kWh Timespan 16 years
  • 17. Page 17Page 17 fixed area Summary • Batch simulations allow systematic variation of design parameters • For large installations we assume scalability of variables • Optimal configuration can quickly be found • Scenario can be adapted (fixed area vs. fixed Pnom) • Figures of merit give a measure for optimization • Boundary conditions constrain design space and help to identify the optimal solution fixed Pnom This optimization is a guide towards the best design, it does not replace a detailed simulation of the final design choice
  • 18. Page 18Page 18 Outlook Further analysis − Additional economic measures − Superimposing of plots − Simulation with variable grid tariffs − Study variable E-W orientation Implementation in PVsyst • Add more batch parameters and output variables − Number of sheds − Consider also tracking devices − Output variables of financial evaluation • Simplify the use of batch simulations − Automatic generation of batch parameter files − Parallel processing • Integrate visualization of batch results into PVsyst