Unified Modeling of Rectifier-Controlled DC-Power Supplies

The known analysis of dc-dc converters in discontinuous operation mode and with voltage commutation based on a piecewise-linear description is extended to the analysis of line-commutated converters. With the latter as system-dependent pulsewidths 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 a unified state-space modeling of dc-dc and ac-dc converters by which the steady-state and the dynamic small-signal behavior can be evaluated directly. If the piecewise-defined system equations are integrated numerically, a rather generalized analysis of power converters is found if the structure of switched systems is taken into account. As an illustrative example, a voltage-commutated dc-dc converter with a nonlinear dc inductance is studied.