超级电容动态容值测量与容值函数参数估计  

Capacitance measurement and parameter estimation method for supercapacitors with variable capacitance

作　　者：于鹏[1,2] 井天军[1] 杨仁刚[1] 

机构地区：[1]中国农业大学信电学院,北京100083 [2]渤海大学工学院,锦州121013

出　　处：《农业工程学报》2016年第3期169-174,共6页Transactions of the Chinese Society of Agricultural Engineering

基　　金：中央高等学校基本科研业务费(2015XD004);国家高技术研究发展"863"计划(2012AA050217)

摘　　要：针对目前的超级电容参数在线识别方法动态参数测量困难,通用性差,精度低的缺点,提出一种超级电容动态容值测量与参数识别方法。该方法中提出了动态电容值测量模型,通过电荷关系式与能量关系式联立推导动态电容值测量方程组,并采用限定记忆最小二乘法进行参数识别,应用时域仿真对该方法进行了验证。仿真结果表明,该文提出的电容值测量与参数识别方法适用于多种不同的容值函数。当测量信号存在噪声时仍可对电容测量,平均误差低于1%,参数估计相对误差低于20%,可以应用于超级电容动态容值测量。Estimating the parameters of capacitance function is important for supercapacitor manufacture and integration. The estimated parameters are useful for fault monitoring and health state identification. Because the capacitance can＇t be measured directly, indirect measurement model is needed. The capacitance of supercapacitor has relation with voltage or current. The existing methods of supercapacitor parameters estimation have poor performance on variable capacitance and poor adaptability with signal noise. According to the disadvantages of existing methods, a capacitance measurement and parameter estimation method for variable capacitance of supercapacitors was proposed in this paper. This method included two parts： a measurement model; and parameter estimation. The time variable parameter classic model with variable capacitance was used to simulate the time variance character of supercapacitor. Based on this model, a new method was inferred. In this method, the equations based on charge and energy conservation were used to form measuring equation group. Trapezoid formula was applied to solve discrete integral in the equation group. By solving equation groups, the capacitance in every sampling time was measured indirectly. As result, the time series of capacitance were expressed by stack of voltage and current. After bringing the measured voltage and current into the expression of capacitance, the time series of capacitance were obtained. After the capacitances were measured indirectly, the fixed memory least squares method was applied on the time series of capacitance to estimate the parameters of capacitance function. Two simulation experiments based on Matlab were conducted to verify the capacitance measurement and parameter estimation. In these experiments voltage source and load resistance were used to make the supercapacitor charge and discharge randomly. In the first experiment, we used four different functions of the capacitance to test the adaptability of measurement. Comparisons were made between met

关 键 词：电容 容值测量 参数估计 超级电容 最小二乘法 

分 类 号：TM53[电气工程—电器]