DeepAI AI Chat
Log In Sign Up

Accelerating the convergence of Dynamic Iteration method with Restricted Additive Schwarz splitting for the solution of RLC circuits

02/15/2022
by   Helena Shourick, et al.
0

The dynamic iteration method with a restricted additive Schwarz splitting is investigated to co-simulate linear differential algebraic equations system coming from RLC electrical circuit with linear components. We show the pure linear convergence or divergence of the method with respect to the linear operator belonging to the restricted additive Schwarz interface. It allows us to accelerate it toward the true solution with the Aitken's technique for accelerating convergence. This provides a dynamic iteration method less sensitive to the splitting. Numerical examples with convergent and divergent splitting show the efficiency of the proposed approach. We also test it on a linear RLC circuit combining different types of circuit modeling (Transient Stability model and Electro-Magnetic Transient model) with overlapping partitions. Finally, some results for a weakly nonlinear differential algebraic equations system are also provided.

READ FULL TEXT

page 1

page 2

page 3

page 4

12/10/2022

Co-simulation domain decomposition algorithm for hybrid EMT-Dynamic Phasor modeling

An iterative coupling algorithm based on restricted additive Schwarz dom...
08/06/2022

Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems

A dynamic iteration scheme for linear differential-algebraic port-Hamil­...
01/07/2020

Inter/extrapolation-based multirate schemes – a dynamic-iteration perspective

Multirate behavior of ordinary differential equations (ODEs) and differe...
02/04/2021

Aitken-Schwarz heterogeneous Domain Decomposition for EMT-TS Simulation

In this paper, a Schwarz heterogeneous domain decomposition method (DDM)...
03/18/2021

A restricted additive Vanka smoother for geometric multigrid

The solution of saddle-point problems, such as the Stokes equations, is ...
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...
10/31/2022

High order splitting methods for SDEs satisfying a commutativity condition

In this paper, we introduce a new simple approach to developing and esta...