基于最小二乘系法的电化学超级电容器建模与参数辨识方法
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摘要
超级电容器建模是设计超级电容器储能系统的关键。为确保模型在比较宽的频率范围内可以有比较高的拟合精度,采用了二阶超级电容器线性RC网络等效电路模型,提出系统辨识方法进行建模,阐述了系统辨识的原理和递推最小二乘法算法,根据实验数据利用MATLAB程序估计出所建模型的传递函数,并对模型进行仿真验证。可知,超级电容器模型是可行有效的。
Supercapacitor modeling is the key to the design of supercapacitor energy storage system. In order to ensure that the model can have high fitting accuracy in a wide frequency range, the second-order supercapacitor linear RC network equivalent circuit model is adopted, and the system identification method is proposed to model the model. The principle of system identification and the recursive least square algorithm are described. according to the experimental data, the transfer function of the model is estimated by MATLAB program, and the model is verified by simulation. It can be seen that the supercapacitor model is feasible and effective.
Supercapacitor modeling is the key to the design of supercapacitor energy storage system. In order to ensure that the model can have high fitting accuracy in a wide frequency range, the second-order supercapacitor linear RC network equivalent circuit model is adopted, and the system identification method is proposed to model the model. The principle of system identification and the recursive least square algorithm are described. according to the experimental data, the transfer function of the model is estimated by MATLAB program, and the model is verified by simulation. It can be seen that the supercapacitor model is feasible and effective.
引文
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[4]梁海泉,谢维达,孙家南,等.超级电容器时变等效电路模型参数辨识与仿真[J].同济大学学报,2012,40(6):949-954.
[5]方崇智,萧德云.过程辨识[M].北京:清华大学出版社,2006.
[6]Spyker R L,Nelms R M. Classical equivalent circuit parameters for a double-layer capacitor[J]. IEEE Transactions on Aerospace and Electronic Systems,2000,36(3I):829-836.
[7]Nelms R M,Cahela D R,Tatarchuk B J. Modeling doublelayer capacitor behavior using ladder circuits[J]. IEEE Transactions on Aerospace and Electronic Systems,2003,39(2):430-438.
[8]孙家南,赵洋,韦莉,等.基于系统辨识的电化学超级电容器建模[J].高压电器,2012(9):16-21.
[9]朱豫才.过程控制的多变量系统辨识[M].张湘平,等,译.长沙:国防科技大学出版社,2005.
[10]王志贤.最优状态估计与系统辨识[M].西安:西北工业大学出版社,2004.