Research on General Model and Parameter Characteristics of Photovoltaic Array

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Transactions on Electrical and Electronic Materials https://doi.org/10.1007/s42341-020-00245-5

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Research on General Model and Parameter Characteristics of Photovoltaic Array Peng Zhang1 · Bi‑ying Zhou2 Received: 7 July 2020 / Revised: 6 September 2020 / Accepted: 11 September 2020 © The Korean Institute of Electrical and Electronic Material Engineers 2020

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. Keywords  PV array · General model · Parameter characteristics · Partial shading

1 Introduction The characteristic of solar cell is an important factor that affects the efficiency of PV power generation systems. Establishing an efficient and accurate mathematical model of PV arrays is an important basis for related researches such as rational layout of PV arrays and maximum power point algorithm [1–5]. Many scholars have proposed different PV cell models. The simplest is an ideal circuit model which consists of a diode and a current source connected in parallel. The model has a simple structure and is suitable for complex theoretical analysis, but its accuracy is not high and its practicability is not strong. On this basis, a series resistance is added to form a single diode model. This model can characterize the resistance and loss of materials characteristics. Its accuracy has been improved to a certain extent, but the error is still relatively large under high temperature conditions. * Peng Zhang [email protected] 1



School of Physics and Electrical Engineering, Weinan Normal University, Weinan 714099, Shaanxi, China



School of Computer, Weinan Normal University, Weinan 714099, Shaanxi, China

2

Adding a parallel resistor on the basis of the single-diode model can make the model more accurate, but it has more parameters. The error is larger when the irradiation intensity is relatively low. The double diode model uses two diodes