Unified modelling of rectifier-controlled DC-power supplies

The known analysis of dc/dc-converters in discontinuous operation mode and with voltage-commutation basing on piecewise linear description is extended to the analysis of line-commutated converters. Thereby as system-dependent pulse-widths the overlap angles appear, which can be computed in a manner analogous to the current flow duration and the reloading time respectively. This leads to an unified state space modelling of dc/dc- and ac/dc-converters by which the steady state and the dynamic small signal behavior can be evaluated directly. If the piecewisely defined system equations are integrated numerically, then by taking advantage of the structure of switched systems, a rather generalized way for the analysis of power converters results. As a first example a voltage-com-mutated dc/dc-converter with a non-linear dc-inductance is studied.