光伏模拟电源中分段多项式拟合算法研究

在光伏模拟电源的研究中，如何确定光伏特性曲线是问题的关键，鉴于当前光伏电池指数模型计算量大，多项式模型可移植性差等缺点，提出了统一的分段多项式拟合算法。该算法根据设置的分段点，判断输入电压所处的分段，然后读取该段内插值点，最后调用拉格朗日插值公式建立函数。与其他模型相比，该模型可以通过设置分段数及插入点数控制拟合精度，能根据人为需要改变曲线走势。同时以四分段方式分析了分段取点对拟合精度的影响规律，总结了研究结果。...

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Bibliographic Details
Published in电测与仪表 Vol. 51; no. 5; pp. 31 - 35
Main Author 代林旺 金新民 周啸
Format Journal Article
LanguageChinese
Published 北京交通大学 电气工程学院,北京,100044 2014
Subjects
光伏电池模型
分段拟合
平均相对误差
拉格朗日插值法
光伏电池模型
分段拟合
piecewise fitting
Lagrange interpolation
拉格朗日插值法
平均相对误差
average ralative error
PV cell model
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ISSN1001-1390

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Summary:在光伏模拟电源的研究中，如何确定光伏特性曲线是问题的关键，鉴于当前光伏电池指数模型计算量大，多项式模型可移植性差等缺点，提出了统一的分段多项式拟合算法。该算法根据设置的分段点，判断输入电压所处的分段，然后读取该段内插值点，最后调用拉格朗日插值公式建立函数。与其他模型相比，该模型可以通过设置分段数及插入点数控制拟合精度，能根据人为需要改变曲线走势。同时以四分段方式分析了分段取点对拟合精度的影响规律，总结了研究结果。
Bibliography:In the research of photovoltaic（ PV） cell simulator,how to determine the PV characteristic curve is a key issue. In view of the large amount of calculations of the PV cell index model and poor portability of the polynomial model, a uniform piecewise polynomial fitting algorithm is provided. According to the partings, the algorithm esti-mates which segment the input voltage belongs to and then load the interpolated points. Finally the function is estab-lished by Lagrange interpolation formula. Compared with other models, the accuracy of this model can be controlled by setting segment fitting number and insertion points, and the curve trend can be changed on request. The influence of taking points piecewise on fitting precision is analyzed using four-segment method, with research results given.
23-1202/TH
PV cell model;piecewise fitting;Lagrange interpolation;average ralative error
DAI Lin-wang, JIN Xin-min, ZHOU Xiao （ School of Electrical Engineering, Beijing Jiao Tong University, Beijing 100044, China）
ISSN:1001-1390