分数阶元件伴生模型的建立及其仿真计算研究  

Research on Discrete Adjoint Models and Simulation Calculation of Fractional Order Elements

作　　者：梁贵书[1] 单栋清 

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：《华北电力大学学报（自然科学版）》2017年第3期1-7,共7页Journal of North China Electric Power University：Natural Science Edition

基　　金：国家自然科学基金资助项目(51177048;51407073);河北省自然科学基金资助项目(E2012502009)

摘　　要：通过对比多种分数阶元件实现方法,选取L1插值逼近法建立分数阶元件的伴生模型,并通过仿真计算验证了该分数阶元件伴生模型的可行性及准确性。采用稀疏表格法编写分析分数阶电路的通用程序,实现了任意线性分数阶电路和部分非线性分数阶电路的自动求解,可作为分析分数阶电路的辅助工具,弥补了现有电路分析软件不能对分数阶电路仿真的不足。By comparing a variety of implement methods of fractional order elements, the discrete adjoint models of fractional order elements are established with the approach of L1 interpolation approximation. The feasibility and accuracy of the discrete adjoint model of fractional order elements are verified by simulation calculation. A general program for analyzing fractional order circuits is written by the sparse tabular method. This program facilitates the automatic solution of arbitrary linear fractional order circuits and partial nonlinear fractional Order circuits, which can be used as an auxiliary tool for analyzing fractional order circuits, thus making up the deficiency for the existing software＇ s inability of simulating the fractional order circuits.

关 键 词：分数阶元件 伴生模型 分数阶电路 稀疏表格法 自动求解 

分 类 号：TM13[电气工程—电工理论与新技术]