pvl_sapm
Sandia Array Performance Mode.
Contents
Syntax
Result = pvl_sapm(Module, Ee, celltemp)
Description
The Sandia Array Performance Model (SAPM) [1] generates 5 points on a PV module's I-V curve: short circuit, open circuit, maximum power, and points halfway between 0 and Vmp and Vmp and Voc.
Inputs
- Module - a structure defining the SAPM performance parameters.
- Ee - The effective irradiance incident upon the module (suns).
- celltemp - The cell temperature (degrees C).
The model coefficients that are required in the Module struct are:
- Module.c - 1x8 vector with the C coefficients, i.e., Module.c(1) = C0, Module.c(2) = C1, etc.
- Module.Isc0 - Short circuit current at reference condition (amps).
- Module.Imp0 - Maximum power current at reference condition (amps).
- Module.Voc0 - Open circuit voltage at references conditions (V).
- Module.Vmp0 - Maximum power voltage at references conditions (V).
- Module.Ix0 = Current, in amperes, of the point at 0.5*Voc at reference conditions.
- Module.Ixx0 = Current, in amperes, of the point at 0.5*(Voc0+Vmp0) at reference conditions.
- Module.AlphaIsc - Short circuit current temperature coefficient at reference condition (1/C).
- Module.AlphaImp - Maximum power current temperature coefficient at reference condition (1/C).
- Module.BetaVoc - Open circuit voltage temperature coefficient at reference condition (V/C).
- Module.mBetaVoc - Coefficient providing the irradiance dependence for the BetaVoc temperature coefficient at reference irradiance (V/C).
- Module.BetaVmp - Maximum power voltage temperature coefficient at reference condition.
- Module.mBetaVmp - Coefficient providing the irradiance dependence for the BetaVmp temperature coefficient at reference irradiance (V/C).
- Module.n - Empirically determined "diode factor" (dimensionless).
- Module.Ns - Number of cells in series in a module's cell string(s).
Outputs
- Result - A structure with vectors of the same size as Ee:
- Result.Isc - Short circuit DC current (A).
- Result.Imp - Max power DC current (A).
- Result.Ix - DC current at a point halfway between O and Vmp (A).
- Result.Ixx - DC current at a point halfway between Vmp and Voc (A).
- Result.Voc - Open circuit DC voltage(V).
- Result.Vmp - Max power DC voltage (V).
- Result.Pmp - Max DC power (W).
Example
This example shows the use of the Sandia PV Array Performance Model with a Canadian Solar 220 W module at ~1,000 W/m^2 and a cell temperature of 70 deg C.
Module = pvl_sapmmoduledb(123,'SandiaModuleDatabase_20120925.xlsx',1)
Module = name: 'Canadian Solar CS5P-220M' vintage: 2009 material: 'c-Si' area: 1.7010 AlphaIsc: 3.9700e-04 AlphaImp: 1.8100e-04 Isc0: 5.0911 Imp0: 4.5463 Voc0: 59.2608 Vmp0: 48.3156 BetaVoc: -0.2170 BetaVmp: -0.2355 mBetaVoc: 0 mBetaVmp: 0 Ns: 96 Np: 1 delT: 3 fd: 1 n: 1.4032 Ix0: 4.9760 Ixx0: 3.1880 a_wind: -3.4064 b_wind: -0.0842 c: [1.0128 -0.0128 0.2793 -7.2446 0.9964 0.0036 1.1554 -0.1554] a: [-6.9304e-05 0.0017 -0.0158 0.0681 0.9284] b: [-1.3590e-09 2.1120e-07 -1.2460e-05 3.1030e-04 -0.0024 1]
Ee = 1; %suns celltemp = 70; % deg C Result = pvl_sapm(Module, Ee, celltemp)
Result = Isc: 5.1821 Imp: 4.5833 Voc: 49.4976 Vmp: 37.7186 Ix: 5.0649 Ixx: 3.2450 Pmp: 172.8766
References
[1] King, D. et al, 2004, Sandia Photovoltaic Array Performance Model, SAND2004-3535, Sandia National Laboratories, Albuquerque, NM. Available at SAPM
See Also
pvl_sapmmoduledb, pvl_sapmcelltemp
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