DeepAI
Log In Sign Up

Dynamic iteration schemes and port-Hamiltonian formulation in coupled DAE circuit simulation

04/27/2020
by   Michael Günther, et al.
0

Electric circuits are usually described by charge- and flux-oriented modified nodal analysis. In this paper, we derive models as port-Hamiltonian systems on several levels: overall systems, multiply coupled systems and systems within dynamic iteration procedures. To this end, we introduce new classes of port-Hamiltonian differential-algebraic equations. Thereby, we additionally allow for nonlinear dissipation on a subspace of the state space. Both, each subsystem and the overall system, possess a port-Hamiltonian structure. A structural analysis is performed for the new setups. Dynamic iteration schemes are investigated and we show that the Jacobi approach as well as an adapted Gauss-Seidel approach lead to port-Hamiltonian differential-algebraic equations.

READ FULL TEXT

page 1

page 2

page 3

page 4

06/04/2020

A compact, structural analysis amenable, port-Hamiltonian circuit analysis

This article presents a simple port-Hamiltonian formulation of the equat...
11/12/2022

Linear port-Hamiltonian DAE systems revisited

Port-Hamiltonian systems theory provides a systematic methodology for th...
08/06/2022

Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems

A dynamic iteration scheme for linear differential-algebraic port-Hamil­...
01/05/2023

Port-Hamiltonian Systems Modelling in Electrical Engineering

The port-Hamiltonian modelling framework allows for models that preserve...
08/11/2021

An Energy-based, always Index ≤1 and Structurally Amenable Electrical Circuit Model

Combining three themes: port-Hamiltonian energy-based modelling, structu...
02/02/2023

Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems

A dynamic iteration scheme for linear infinite-dimensional port-Hamilton...
08/11/2021

MONA – A magnetic oriented nodal analysis for electric circuits

The modified nodal analysis (MNA) is probably the most widely used formu...