Automated technique for determination and stability analysis of periodic steady state for DC-DC converters

A general technique is developed for the finding and stability analysis of periodic state-space orbits in switched DC power converter systems. The technique is exact for circuits with ideal components and is easily programmed, which makes it a useful tool for automated circuit analysis and design. A computer procedure is created in MATLAB that can find and analyze periodic orbits for systems of arbitrary complexity with given state-space matrices and inputs. An example of such analysis is presented for a buck converter circuit with first order controller.