DeepAI AI Chat
Log In Sign Up

Efficient simulation of DC-DC switch-mode power converters by multirate partial differential equations

by   Andreas Pels, et al.

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.


Efficient simulation of DC-AC power converters using Multirate Partial Differential Equations

Switch-mode power converters are used in various applications to convert...

Parallel-in-Time Simulation of Power Converters Using Multirate PDEs

This paper presents an efficient numerical algorithm for the simulation ...

Solving nonlinear circuits with pulsed excitation by multirate partial differential equations

In this paper the concept of Multirate Partial Differential Equations (M...

Deep Petrov-Galerkin Method for Solving Partial Differential Equations

Deep neural networks are powerful tools for approximating functions, and...

Multirate PWM balance method for the efficient field-circuit coupled simulation of power converters

The field-circuit coupled simulation of switch-mode power converters wit...

A New Method for the Calculation of Functional and Path Integrals

Functional integrals are central to modern theories ranging from quantum...