Calculation of Transient Modes in Semiconductor Converters Using Static Resistances and the Implicit Euler Method

The article proposes a new method for numerical analysis of processes in nonlinear electrical circuits with switchings. It is based on use of the implicit Euler method at the moments of switchings and immediately after them, as well as use of static resistances for linearization of the nonlinear resistors equations. In the intervals between commutations, systems of the electrical circuit equations can be solved by the trapezoid method or by the method based on backward differentiation formulas, as well as by more precise methods. The proposed method is highly stable and reliable.