功率因数校正器的三频分析法

Three－Band Analysis for PFC Circuitx

本文以Ｂｏｏｓｔ型功率因数校正器（以后简写为ＰＦＣ）为例，提出三频分析法（即直流、低频、高频分析法），其主要贡献有：①给出了占空比的瞬态表达式；②采用求均值的数学处理，给出了直流分析法；③根据平均值状态方程，给出了低频（市电频率）分析法，并证明ＰＦＣ的功率因数（ＰＦ）的理想值为１；④根据电感电流的瞬态表达式，给出了高频（载波频率）分析法．本文所得的结论为ＰＦＣ电路提供了实用简捷的分析方法，并对设计、调试提供了理论依据．

A three-band analysis for power factor active correction circuits(abbrev. PFC) has been given in illustration of Boost PFC in this paper.The main contributions in the paper are as follows: 1. The formula of duty factor about SPWM and an ideal model of PF = 1 has been proved;2.A DC analysis of PFC has been developed with two-bine average mothed; 3. Based on average state equation, a low frequency analysis has been proposed;4. Using transient formulas of inductor current, a high frequency(carrier wave)analysis has been studied.The conclusion of thes paper provides the simple method of analysis and theoretical base of design and adjustment for all PFC circuits.