The Research of Passive Power Filter Based on Fractional Calculus

Abstract

Aiming at the passive power filters design, a new filter design idea is proposed, which includes high impedance at a certain frequency and low impedance at others. Based on the introduction of fractional calculus application research, the passive elements were described with fractional-order differential equations. The mathematical model of fractional order filters was derived and discussed, then simulated in MATALAB. The integer-order filters are only a tight subset of fractional-order filters that are testified by the mathematical model analysis and simulation results. The filter design idea to the fractional-order domain is developed and the better filter performance of the fractional-order passive power filter is validated.