Bifurcations and stability in current-programmed single ended primary inductor converters

A stroboscopic map for a peak current-programmed single ended primary inductor converter (SEPIC) operating in continuous mode is presented, where the bifurcations and chaos occurring in the system are captured by numerical methods. These bifurcating phenomena include period-doubling, border-collision and coexistence of different attractors, etc. According to the diagrams, the bifurcations associated with the system are analyzed. As circuit parameters vary, there exist more complicated and diversiform phenomena in the high-dimensional SEPIC than in the low-dimensional DC-DC converters. Furthermore, with the help of the loci of characteristic multipliers of the system's Jacobian matrix, the location and the type of the first bifurcating point are confirmed, and the effects of parameters on system stabilities are discussed. The results show that this work provides a convenient means of predicting stability boundaries which can facilitate the selection of practical circuit parameters for maintaining stable operation.