Stability of periodic solutions for multitopology DC-to-DC power converters

An analytical nonlinear technique is developed for stability analysis of periodic solutions for DC-to-DC power converter systems with multiple switches and possible discontinuous topologies. The new approach, based on discrete nonlinear maps, is exact under the assumption of ideal switches and is easily programmable, which allows for nearly instantaneous evaluation of stability of periodic solutions for DC power systems under a wide range of input conditions. The results obtained using the new method were in agreement with those acquired using much slower time-domain simulation method. The exactness of the suggested approach is a definite advantage over existing linear methods and other approximate techniques.