The paper describes a mathematical model of solar photovoltaic power plant with a PWM (Pulse Width Modulation) regulator matching between the PV arrays and loads. For controling of regukator which retains the power plant performance at the point of maximum output, there is used an adaptive algorithm based on the combination of methods of the direct measurement and of the constant coefficient of short-circuit current. The advantages of this control algorithm is a relatively simplicity and good efficiency. Mathematical model of the characteristics of photovoltaic power module is made on the basis of educational bench in school laboratory in the Department of space technology and alternative energy sources, "KhAI".

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