Small Scale Renewable Energy Systems Hands-on Short course July 2012 University of Gondar in collaboration withInstitute for Sustainable Energy, Environment and Economy (ISEEE) University of Calgary D. YeboahGraduate Student, ISEEE, University of Calgary
Theory of I-V Characterization I-V Curve of PV Cell and Associated Electrical Diagram
Ideal PV CellIn an ideal cell, the total current I is equal to the current Iℓ generated by the photoelectric effect minus the diode current ID, according to the equation: Expanding the equation gives:whereI0 is the saturation current of the diodeq is the elementary charge 1.6x10-19 Coulombs Single-Diode Model .k is a constant of value 1.38x10-23J/KT is the cell temperature in KelvinV is the measured cell voltage that is either produced (powerquadrant) or applied (voltage bias)n is the diode ideality factor (typically between 1 and 2)RS and RSH represents the series and shunt resistances respectively
The I-V curve of an illuminated PV cell has the shape as shown below as the voltage across the measuring load is swept from zero to VOC, and many performance parameters for the cell can be determined from this data.Short Circuit Current (ISC)The short circuit current ISC corresponds to the short circuit condition when theimpedance is low and is calculated when the voltage equals 0. I (at V=0) = ISCISC occurs at the beginning of the forward-bias sweep and is the maximum current valuein the power quadrant. For an ideal cell, this maximum current value is the total currentproduced in the solar cell by photon excitation. ISC = IMAX = Iℓ for forward-bias powerquadrantOpen Circuit Voltage (VOC)The open circuit voltage (VOC) occurs when there is no current passing through the cell.V (at I=0) = VOCVOC is also the maximum voltage difference across the cell for a forward-bias sweep inthe power quadrant. VOC= VMAX for forward-bias power quadrant
Maximum Power (PMAX), Current at PMAX (IMP), Voltage at PMAX (VMP)The power produced by the cell in Watts can be easily calculated along the I-Vsweep by the equation P=IV. At the ISC and VOC points, the power will be zero and the maximum value for power will occur between the two. The voltage and current at this maximum power point are denoted as VMP and IMP respectively.
Fill FactorThe Fill Factor (FF) is essentially a measure of quality of thesolar cell. It is calculated by comparing the maximum powerto the theoretical power (PT) that would be output at both theopen circuit voltage and short circuit current together.
Efficiency (η)Efficiency is the ratio of the electrical power output Pout, compared to thesolar power input, Pin, into the PV cell. Pout can be taken to be PMAX sincethe solar cell can be operated up to its maximum power output to get themaximum efficiency.
Temperature Measurement Consideration When a PV cell is exposed to higher temperatures, ISC increases slightly, while VOC decreases more significantly. Temperature Effect on I-V Curve
Fundamentals of PVTypical Solar PV Module: 60 cells in series
PV Fundamentals: The Solar Module But what if we shaded one cell?
PV Fundamentals: The Solar Module 0VDue to the series connection, no current can flow through the module, so itcannot produce any power!
PV Fundamentals: The Solar Module 0V Furthermore, there is a reverse bias across the shaded cell due to the voltages produced by the other cells… -44*0.6 = -26.4V +15*0.6 = +9V
PV Fundamentals: The Solar Module 0V -44*0.6 = -26.4V +15*0.6 = +9V Voltage Across Shaded Cell = -35.4V (Reverse Bias)
PV Fundamentals: The Solar Module 0V -44*0.6 = -26.4V +15*0.6 = +9V Voltage Across Shaded Cell = -35.4V (Reverse Bias) Multi-crystalline Solar Cell Reverse Bias Breakdown Voltage: -13V
PV Fundamentals: The Solar Module 0V -44*0.6 = -26.4V +15*0.6 = +9V Voltage Across Shaded Cell = -35.4V (Reverse Bias) Multi-crystalline Solar Cell Reverse Bias Breakdown Voltage: -13V Result: Cell over heats and is damaged (hot spot)!!
PV Fundamentals: The Solar Module Maximum Reverse Bias: 19*0.6 = 11.4V (OK!) Solution… BYPASS DIODES
PV Fundamentals: The Solar Module Normal Operation: Voc = 60*0.6 = 36V Isc = 8A Solution… BYPASS DIODES
PV Fundamentals: The Solar Module Partial Shade Operation: Voc = (40*0.6)-0.5 = 23.5V Isc = 8A …we can still get 2/3 of the power out of the module, but the voltage is reduced. Solution… BYPASS DIODES
PV Fundamentals: The Solar Module Sub-Modules Solution… BYPASS DIODES
Shading : Solutions (Cont.)Micro-inverters + String of n Modules in Series Voc = n*36V Where ‘n’ is the number of modules
PV Fundamentals: The Solar Array_ + Voc = n*36V String of n Modules in Series Isc = m*8A m Strings In Parallel String of n Modules in Series String of n Modules in Series
PV Fundamentals: The Solar Array_ + Voc = n*36V String of n Modules in Series Isc = m*8A Inverter m Strings In Parallel String of n Modules in Series AC Ou Varies the load on the array to operate at the Maximum String of n Modules in Series Power Point (MPP)