分数阶RL_(α)C_(β)电路的多变量域综合方法研究  

Research on multivariable domain synthesis method of fractional-order RL_(α)C_(β) circuit

作　　者：梁贵书[1] 周安东 Liang Guishu;Zhou Andong(School of Electrical and Electronic Engineering,North China Electric Power University,Baoding 071003,Hebei,China)

机构地区：[1]华北电力大学电气与电子工程学院,河北保定071003

出　　处：《电测与仪表》2023年第10期61-65,72,共6页Electrical Measurement & Instrumentation

基　　金：北京市自然科学基金资助项目(3192039);河北省自然科学基金资助项目(E2018502121)。

摘　　要：电路的无源综合方法对电气设备的建模具有重要的应用。针对RL_(α)C_(β)分数阶元件电路的无源综合问题,文中介绍了其多变量域的综合方法。通过变量代换将频域形式的电路策动点阻抗函数转换到多变量域;进一步推导了其多变量域的Foster综合方法以及Cauer综合方法,并给出与综合方法相对应的电路模型。通过实例的仿真与分析,验证了所提出的综合方法理论的可行性,克服了以往综合方法使用多口变压器的缺点,对于电气设备的分数阶电路建模具有重要的应用价值。The passive synthesis method of circuits has important applications to the modeling of electrical equipment.Aiming at the passive synthesis problem of RL_(α)C_(β) fractional-order component circuits,this paper introduces its multivariable domain synthesis method.Through variable substitution,the frequency domain circuit driving point impedance function is transformed into the multivariable domain;the Foster synthesis method and Cauer synthesis method of the multivariable domain are further deduced,and the circuit model corresponding to the synthesis method is given.Finally,the feasibility of the comprehensive method theory proposed in the paper is verified through simulation and analysis of examples.The proposed synthesis method overcomes the shortcomings of the previous synthesis method using multi-port transformers,and has important application value for fractional-order circuit modeling of electrical equipment.

关 键 词：无源综合 分数阶 多变量域 电路建模 

分 类 号：TM13[电气工程—电工理论与新技术]