Efficient simulation of DC-DC switch-mode power converters by multirate partial differential equations
For power electronics engineers, this provides a faster simulation method for DC-DC converters, though it is an incremental improvement over existing MPDE techniques.
The paper introduces Multirate Partial Differential Equations (MPDEs) for efficient simulation of DC-DC switch-mode power converters, achieving up to 10x speedup compared to standard transient analysis while maintaining accuracy.
In this paper, Multirate Partial Differential Equations (MPDEs) are used for the efficient simulation of problems with 2-level pulsed excitations as they often occur in power electronics, e.g., DC-DC switch-mode converters. The differential equations describing the problem are reformulated as MPDEs which are solved by a Galerkin approach and time discretization. For the solution expansion two types of basis functions are proposed, namely classical Finite Element (FE) nodal functions and the recently introduced excitation-specific pulse width modulation (PWM) basis functions. The new method is applied to the example of a buck converter. Convergence, accuracy of the solution and computational efficiency of the method are numerically analyzed.