Analytical solutions of the Class D inverter

A Class D inverter is a tuned circuit driven by a single-pole, double-throw, active switch. This circuit is often analyzed by Fourier Transforms. The active switch generates a rectangular wave source, which can be approximated by its fundamental frequency component. This paper derives the complete and exact solution of the Class D inverter, including the transient case, by applying differential-difference equations. This method can be extended to other applications that require a rigorous analysis of circuits driven by periodic sources.