Based on a directed graph of power converters, a new generalized connection matrix method was proposed to find out all switch paths and states. By comparing practical switching states to normal states, the sneak circuit paths were identified accordingly. A new switch construction was developed to eliminate sneak circuits. At the same time, the method was used to analyze switching states of threephase PWM rectifiers and identify the sneak paths of zerocurrentswitching resonant switched capacitor (RSC) converters. The results show that the proposed analysis method is effective.