分数阶电容的串联与并联分析

Based on fractional calculus and the fractional order nature of the capacitor, the models for the fractional order capacitor in series and parallel connections are established and analyzed. The influence of the varied fractional order on the characteristic of the fractional order capacitor in series and parallel connections are given. Finally, the realization form of the fractional order capacitor is designed and the correctness of theoretical analysis is confirmed by using the circuit simulations from power electronics simulator (PSIM).