Analysis of buck converter processes using difference equations method

The buck converter's operation is analyzed using difference equation method. Set of second order linear difference equations is obtained describing transient and steady state processes. The solutions of these sets are obtained in closed form. Thus, the non-linear problem of converter analysis is turned to the linear one. The solutions obtained determine the converter voltages and currents at the discrete instants of transistor ignitions. The equations allowed finding converter voltages and currents as continuous functions are appeared. The theoretical results are verified by numerical calculations, simulation, and experiments with physical model. A good accordance is observed.