An efficient, fast, and robust algorithm for single diode model parameters estimation of photovoltaic solar cells

Husain A. Ismail, A. Diab
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Abstract

Parameter estimation of photovoltaic (PV) solar cells and module models pays attention to researchers owing to their importance in practical considerations. The single diode model (SDM) circuit with five unknown parameters is widely used to model PV solar cells and modules. In this paper, a novel approach called alternate optimization (AO) algorithm based on a discrete search is proposed to estimate the SDM parameters. The proposed algorithm provides efficient and robust performance, considering a limited set of discrete values and increasing the convergence speed. Two practical case studies with actual measurements are considered to assess the proposed AO algorithm: the RTC France solar cell and monocrystalline PV modules with different irradiations and temperatures. The numerical findings underscore the superior performance of the proposed AO algorithm across various metrics. Notably, it achieves an exceptional Root Mean Square Error (RMSE) of 7.7426 × 10−04 for the RTC France PV cell and approximately 1 × 10−03 RMSE for monocrystalline PV modules. Additionally, the algorithm exhibits unparalleled speed, showcasing the fastest convergence with an elapsed time of 1.66 × 10−05—markedly 4.45 times quicker than the fastest method documented in the literature for SDM parameter estimation. Furthermore, the proposed AO algorithm stands out for its efficiency, requiring a maximum of five iterations for parameter estimation, a substantial improvement compared to the more than 10 iterations typically needed by algorithms in the existing literature. Its robustness is also commendable, as evidenced by the stability of final RMSE values across a variety of experiments, distinguishing it from less robust algorithms found in the literature.
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光伏太阳能电池单二极管模型参数估计的高效、快速和稳健算法
光伏(PV)太阳能电池和组件模型的参数估计因其在实际应用中的重要性而备受研究人员的关注。具有五个未知参数的单二极管模型(SDM)电路被广泛用于光伏太阳能电池和组件的建模。本文提出了一种基于离散搜索的交替优化(AO)算法来估算 SDM 参数。所提出的算法考虑了有限的离散值集,提高了收敛速度,具有高效、稳健的性能。为评估所提出的 AO 算法,考虑了两个实际测量案例研究:法国 RTC 太阳能电池和不同辐照度和温度下的单晶硅光伏组件。数值研究结果凸显了所提出的自动光学算法在各种指标上的卓越性能。值得注意的是,该算法对 RTC France 光伏电池的均方根误差 (RMSE) 为 7.7426 × 10-04,对单晶光伏组件的均方根误差 (RMSE) 约为 1 × 10-03。此外,该算法还表现出无与伦比的速度,以 1.66 × 10-05 的耗时展示了最快的收敛速度,比文献中记载的 SDM 参数估计最快方法快 4.45 倍。此外,所提出的 AO 算法在效率方面也很突出,参数估计最多只需 5 次迭代,与现有文献中通常需要 10 次以上迭代的算法相比,有了很大改进。该算法的鲁棒性也值得称赞,在各种实验中最终 RMSE 值的稳定性就证明了这一点,使其有别于文献中鲁棒性较差的算法。
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