电容的分数阶等效电路建模与分析

实际的电容器件都是非理想的,其特性受到各种因素的影响,建立精确的电容模型对于电路系统分析与设计十分必要。考虑到电容的分数阶微积分特性,文中基于传统的电容整数阶等效电路模型,提出电容的分数阶等效电路模型,并采用差分进化算法辨识出模型参数,然后将该模型应用于Buck电路进行纹波电压的分析。仿真结果表明,同传统整数阶等效电路模型相比,分数阶等效电路模型拟合电容实际数据的准确度更高,验证了该电容分数阶等效电路模型的有效性。

Modeling and Analysis of Fractional Order Equivalent Circuit of Capacitors

The actual capacitors are not ideal and their characteristics are affected by various factors. It is necessary to establish accurate capacitor model for circuit system analysis and design. Considering the fractional order calculus characteristics of capacitors,this paper proposes the fractional order equivalent circuit model based on the traditional integer order equivalent circuit model of capacitors. The differential evolution algorithm is used to identify the model parameters. Then the model is applied to Buck circuit to analyze the ripple voltage. The simulation results show that,compared with the traditional integer order equivalent circuit model,the fractional order equivalent circuit model is more accurate in fitting the actual capacitance data. This verifies the feasibility and effectiveness of the capacitor fractional order equivalent circuit model.