A new analyzing scheme for non-integer order DC/DC converters

A new method of steady-state analysis for non-integer order DC/DC converters operating in continuous-conduction-mode (CCM) is put forward. First, the periodic and time-variant non-integer order DC/DC converter system is modeled by a nonlinear vector differential equation. Then by combining the principle of harmonic balance and equivalent small parameter method, the vector differential equation is solved, and analytical periodic steady-state solutions are obtained. The analytical results on a non-integer order Boost converter agree well with those obtained by modeling simulations using MATLAB software.