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.