New approach on mathematical modeling of photovoltaic solar panel

Abstract

Describing the Current-Voltage (I-V) characteristics that involves only one variable is the basic aim of this paper. A formula that describes the I-V characteristics is found based on the information gathered, and the values of I and P (Power) are determined according to different values of V. Afterwards, the natural cubic spline interpolation method is used to build a mathematical model that can approximate those values. Finally, the bisection method is used as an optimization method in determining the value of V that can produce the maximum power. As a result, mathematical models that approximate the I-V and P-V characteristics are built. Through those models, the optimum values of V are determined. The major finding is the estimated values of V, I and P that generate the most energy under a fix condition. For G = 221.19 W/ m 2 and TC = 28.59 °C, it is estimated that when V = 19.5724 V and I = 1.0576 A, the generated energy is the most which is 20.3335 W.