Derivation and conformity measurement of a popular explicit analytic Borowy 2C PV module model

Abstract

A popular explicit analytic Borowy 2C PV module model is proposed for power generation prediction. The maximum power point and the open-circuit point which are calculated in this model cannot be equal to the data given by manufacturers under standard test condition (STC). The derivation of this model has never been mentioned in any literatures. The parameter forms of 2C model in this paper are more simplified, and the model is decomposed into a STC sub-model and an incremental sub-model. The STC model is derived successfully from an ideal single-diode circuit model. Relative error estimations are developed to do the conformity error measurements. The analysis results showed that though the biases at those critical points are very small, the conformity will depend on both of the two ratio values $I$m/$I$sc and $V$m/$V$oc, which can be used to verify whether 2C model is applicable for the PV module produced by a particular manufacturer.

Keywords

• Photovoltaic module
• Analytic model
• Explicit model
• Implicit model
• Borowy model
• Conformity check