6533b7d0fe1ef96bd125acdf

RESEARCH PRODUCT

Relative efficiency revealed: Equations for k<inf>1</inf>–k<inf>6</inf> of the PVGIS model

Georgi Hristov Yordanov

subject

PolynomialEfficiencyLogarithmOperating temperatureEquivalent series resistancebusiness.industryMathematical analysisElectrical engineeringIrradianceModel parametersbusinessPerformance modelMathematics

description

The European PV Geographical Information System (PVGIS) describes module performance in terms of the relative efficiency with respect to Standard Testing Conditions (STC). The efficiency's dependence on irradiance and operating temperature is modeled with a bi-quadratic polynomial with respect to the relative temperature and the logarithm of relative irradiance. In earlier works, the present author derived relations between two model coefficients describing the irradiance dependence at 25°C, k 1 and k 2 , and I–V curve model parameters such as the series resistance RS and the ideality factor n. There was good agreement between the theoretical and fitted values of k 1 , but the fitted values of k 2 were overestimated for most of the studied crystalline-silicon (c-Si) modules. The present paper derives a correction factor for k 2 and equations for k 3 – k 6 . The results are limited to the case of PV modules behaving well according to the one-exponential I–V curve model, with negligible current leakage via cell shunts. The effects of several I–V curve non-idealities on performance are discussed.

https://doi.org/10.1109/pvsc.2014.6925178