High-Power Fractional-Order Capacitor With 1 < alpha < 2 Based on Power Converter

A fractional-order capacitor (FOC) plays a vital role in fractional-order circuits. However, the FOC with order 1 < alpha < 2 based on existing manufacturing schemes can be only operated in milliwatt power level. Thus, the applications of an FOC in power conversion are limited. To solve the problem, this paper proposes a novel method for realizing a high-power FOC with order 1 < alpha < 2, in which a power converter is applied to emulate the current-voltage characteristic of an ideal FOC, so the rated power of the FOC can be increased greatly and depended on the power converter. The corresponding topology and its control strategy are provided. The available experiments verify the effectiveness of the proposed approach.