Abstract
Under partial shading conditions, the P–U curve of PV (photovoltaic) array shows multiple local peaks. The traditional PV model cannot reflect this change. It is necessary to re-establish the mathematical model of the PV array suitable for complex lighting conditions. Based on the mathematical model of double diode PV cells, combined with the series–parallel theory of circuits, a detailed analysis of photovoltaic arrays under partial shading conditions is carried out, and the mathematical model of PV arrays under partial shading conditions is theoretically deduced by piecewise functions. The proposed general model is tested for irradiance intensity, temperature, and diode ideality factor and parallel resistance variable parameter sensitivity test in MATLAB. The output characteristics is tested and compared under uniform light and local shading conditions under random environment. The results show that the proposed model has good versatility and accuracy, and it can quickly and accurately reflect the I–U and P–U characteristics of PV arrays under complex lighting conditions under varying operating conditions, which provides strong support for related research on large-scale PV power generation systems.
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