Power and Location of the Maximum Power Points of Photovoltaic Array in the Case of Partial Shading

Abstract

This paper determines and analyzes the power and location of the global and local maximum power points (MPPs) that can appear on the power-voltage (P-V) curve of photovoltaic (PV) arrays in the case of partial shading. The partial shading effect on the PV array is included using the reduced solar irradiation of the shaded area of its PV module surfaces. Based on the single diode model of the PV cell, considering the required number of cells creating the PV module, the current-voltage (I-V) characteristic of the PV module is created. Using obtained I-V characteristic and the reduced solar irradiance of some PV modules, the (P-V) curve of the PV array in the case of partial shading is determined. Analyzing the shape of the (P-V) curve, the power, location and the number of MPPs, are determined, considering cases with the different shading patterns. Using obtained results probability density function of MPPs location is generated.