Reconfiguration of Solar Panels: Mathematical Model and Analysis

Balance solar radiation between photovoltaic panels or between groups of photovoltaic panels will help to improve the efficiency of electricity generation of the entire solar power system, making the most of the solar energy converted into electricity power. In order to achieve this, it is necessary to reconfigure the connection of photovoltaic panels or groups of photovoltaic panels in the solar power system. In this paper, the general mathematical model for implementing resconfiguring of photovoltaic panels or groups of photovoltaic panels is presented in 2 parts: calculating to find out the optimal configuration connecting photovoltaic panels or groups of photovoltaic panels to achieve the highest performance of the solar system; and find out the best way to switch from the initial connection configuration state to the optimal configuration. The author focuses on analyzing and proposing mathematical models for two main problems in previous studies, developing objective functions and clear constraints, which are the rationale for evaluation of the quality and accuracy of the proposed algorithms, thereby developing more optimal algorithms than previous algorithms. Several experimental studies have been applied on a system of 4 solar panels. The archived results demonstrated the correctness and efficiency of the proposed mathematical model and optimal algorithm.