Multiscale Modeling and Multirate Time-Integration of Field/Circuit Coupled Problems
Schöps
Sebastian
Schöps, Sebastian
aut
2011-05-20
2014-08-12
en
<p>This treatise is intended for mathematicians and computational engineers that
work on modeling, coupling and simulation of electromagnetic problems. This
includes lumped electric networks, magnetoquasistatic field and semiconductor
devices. Their coupling yields a multiscale system of partial differential
algebraic equations containing device models of any dimension interconnected
by the electric network. It is solved in time domain by multirate techniques
that efficiently exploit the structure. The central idea is the usage of
lumped surrogate models that describe latent model parts sufficiently accurate
(e.g. the field model by an inductance) even if other model parts (e.g. the
circuit) exhibit highly dynamic behavior. We propose dynamic iteration and a
bypassing technique using surrogate Schur complements. A mathematical
convergence analysis is given and numerical examples are discussed. They show
a clear reduction in the computational costs compared to single rate
approaches.
Magnetoquasistatics
Eddy Currents
Electric Circuits
Modeling
Coupling
Transient Analysis
Cosimulation/Dynamic Iteration
Convergence Analysis
Multirate
Schur Complement
Auch erschienen im VDI-Verlag/Düsseldorf 2011:
Fortschritt-Berichte VDI
Reihe 21 - Elektrotechnik
Band Nr. 398
ISSN 0178-9481
ISBN 978-3-18-339821-8
urn:nbn:de:hbz:468-20110718-110524-8
2014-08-12T08:33:02.551Z
2014-08-12T09:19:20.566Z
published
Diss
fbc/mathematik/diss2011/schoeps