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Mathematical Modeling for
Multi-Junction Solar Cells
               Chinmaya Joshi
                  31 July 2012
Overview

• MATLAB code giving real time data for the band
  gap parameters for III-V ternary compounds
• Equivalent Circuit for Solar Cell Simulation
• Dual Junction Current Matched and Voltage
  Matched conditions
• Triple Junction Current Matched Condition
• Future Work
Band Gap Parameters for LEDs and
          Solar Cells
Band Gap Parameters for LEDs and Solar
         Cells (MATLAB Code)
• Backward Compatible: The Number of
  Compounds can be increased up to the required
  value. The corresponding 2x2 matrix generated.
• Requests the user the lattice constant.
• Requests from the user the tolerance
  percentage for the lattice parameter to
  determine the band gap ratios for creating a
  multi-junction solar cell
• Plots the feasible band gaps on the graph of
  Band-gap energy vs. Lattice Constant
Equivalent Circuit of Solar Cell


                        Series Resistance




           Shunt
           Resistance
Equivalent Circuit Simulation of Solar Cell



Series
Resistance




Shunt
Resistance
Ideal Dual Junction Current Matched
         Circuit Simulation



                Tunnel Junction
Current Matched Circuit Simulation


Both Diodes and Tj   Second Diode and Tj   Second Diode
Ideal Dual Junction Voltage Matched
          Solar Cell Circuit
Voltage Matched Circuit
         Simulation
Both Series Diodes      Second Series Diode




Single Parallel Diode
Tunnel Junction only
Triple Junction Current Matched Circuit
Triple Junction Current Matched Circuit
               Simulation




All three diodes
                                  Second and third
                                  diode



                    Third diode
Plan (as decided on 13 June 2012)


– Illuminated p-n junctions , electric field in p-n junctions
                                                         22nd June
– QUCS / Spice Modeling                                  29th June
– Literature for Dual Junction, Equivalence Circuit
  (Voltage as well as Series matched)                    13th July
– Comparison between Dual Junction Voltage matched and
  Series matched models                                  20th July
– Triple Junction, Voltage Match Circuit model           27th July
Future Work

• Current vs. Operating Voltage characteristics for
  III-V compounds based on Empirical Data
• Triple Junction Voltage Matched Circuit with the
  bandgap values extracted from the MATLAB
  code
• Bandgap parameter data for III-V quaternary
  compounds

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Voltage Matched Triple Junction Solar Cells

  • 1. Mathematical Modeling for Multi-Junction Solar Cells Chinmaya Joshi 31 July 2012
  • 2. Overview • MATLAB code giving real time data for the band gap parameters for III-V ternary compounds • Equivalent Circuit for Solar Cell Simulation • Dual Junction Current Matched and Voltage Matched conditions • Triple Junction Current Matched Condition • Future Work
  • 3. Band Gap Parameters for LEDs and Solar Cells
  • 4.
  • 5. Band Gap Parameters for LEDs and Solar Cells (MATLAB Code) • Backward Compatible: The Number of Compounds can be increased up to the required value. The corresponding 2x2 matrix generated. • Requests the user the lattice constant. • Requests from the user the tolerance percentage for the lattice parameter to determine the band gap ratios for creating a multi-junction solar cell • Plots the feasible band gaps on the graph of Band-gap energy vs. Lattice Constant
  • 6. Equivalent Circuit of Solar Cell Series Resistance Shunt Resistance
  • 7. Equivalent Circuit Simulation of Solar Cell Series Resistance Shunt Resistance
  • 8. Ideal Dual Junction Current Matched Circuit Simulation Tunnel Junction
  • 9. Current Matched Circuit Simulation Both Diodes and Tj Second Diode and Tj Second Diode
  • 10. Ideal Dual Junction Voltage Matched Solar Cell Circuit
  • 11. Voltage Matched Circuit Simulation Both Series Diodes Second Series Diode Single Parallel Diode
  • 13. Triple Junction Current Matched Circuit
  • 14. Triple Junction Current Matched Circuit Simulation All three diodes Second and third diode Third diode
  • 15. Plan (as decided on 13 June 2012) – Illuminated p-n junctions , electric field in p-n junctions 22nd June – QUCS / Spice Modeling 29th June – Literature for Dual Junction, Equivalence Circuit (Voltage as well as Series matched) 13th July – Comparison between Dual Junction Voltage matched and Series matched models 20th July – Triple Junction, Voltage Match Circuit model 27th July
  • 16. Future Work • Current vs. Operating Voltage characteristics for III-V compounds based on Empirical Data • Triple Junction Voltage Matched Circuit with the bandgap values extracted from the MATLAB code • Bandgap parameter data for III-V quaternary compounds