Power converter steady-state computation using the projected Lagrangian method

In this paper, a new computation technique is presented for determining the steady state solution of a switching network. This technique is based on the formulation of the steady-state conditions as a constrained optimization problem which is then solved by use of the projected Lagrangian method. A comparative analysis, validated by the steady-state simulation of various power converters (buck converter, multilevel converter, quasi-resonant converter, 3-phase inverter, series resonant converter), illustrates the efficiency of the projected Lagrangian method. The direct and fast computation of the steady-state operation, without any previous knowledge of the operating sequences, is a very efficient tool for the design and optimization of a power converter