分数阶模拟电容和模拟电感的设计

Design of simulator for fractional order capacitor and inductor

基于波特图频域近似算法和阻容分抗电路设计出分数阶模拟电容,利用广义阻抗变换电路把α(0<α<1)阶模拟电容转换为α阶模拟电感,把分数阶模拟电容的阶次扩展至0~2阶.采用Multisim软件对分数阶模拟电感、分数阶LC串联电路仿真,结果与理论分析基本一致.

A fractional order simulant capacitor is designed based on the Potter frequency domain approximation algorithm and the impedance capacitance division circuit. By using a generalized impedance transformation circuit,the α（ 0 α 1） order simulant capacitor is converted to an α order simulant inductor. The order of the fractional order simulant capacitor is extended from zero to second. The fractional order simulant inductance and fractional order LC series circuit are simulated by using Multisim software,and the results are in good agreement with the theoretical analysis ones.