Solving nonlinear circuits with pulsed excitation by multirate partial differential equations

by   Andreas Pels, et al.
Technische Universität Darmstadt

In this paper the concept of Multirate Partial Differential Equations (MPDEs) is applied to obtain an efficient solution for nonlinear low-frequency electrical circuits with pulsed excitation. The MPDEs are solved by a Galerkin approach and a conventional time discretization. Nonlinearities are efficiently accounted for by neglecting the high-frequency components (ripples) of the state variables and using only their envelope for the evaluation. It is shown that the impact of this approximation on the solution becomes increasingly negligible for rising frequency and leads to significant performance gains.


page 1

page 2

page 3

page 4


Hierarchical Learning to Solve Partial Differential Equations Using Physics-Informed Neural Networks

The Neural network-based approach to solving partial differential equati...

Composing Scalable Nonlinear Algebraic Solvers

Most efficient linear solvers use composable algorithmic components, wit...

Index-aware learning of circuits

Electrical circuits are present in a variety of technologies, making the...

On a generalized Collatz-Wielandt formula and finding saddle-node bifurcations

We introduce the nonlinear generalized Collatz-Wielandt formula λ^*...

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

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

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

In this paper, Multirate Partial Differential Equations (MPDEs) are used...

Please sign up or login with your details

Forgot password? Click here to reset