The Filtering Mechanism Modeling and Simulation of Passive Power Filter Based on Differentiator Circuit

摘要

Traditional continuous-time filters are of integer order which the power loss of passive power filter is general very much.However,using fractional calculus,filters may also be represented by the more general fractional-order differential equations.In this work,firstly,the passive elements were described with fractional-order differential equations depending on the introduction of fractional calculus application research.Secondly,the mathematical model of fractional-order filters was derived and discussed which includes high impedance at a certain frequency and low impedance at others,and the integer-order filters are only a tight subset of fractional-order filters that are testified.At last,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 by the mathematical model analysis and simulation results.