Applied and Computational Mathematics (ACM)

Computational Magnetics

Many electro-technical devices such as e.g. printed circuit boards, electrical drives and antenna systems can be simulated on the basis of electrical circuits. However, the increasing frequencies and the decreasing size force designers to account for wave propagation effects, eddy-current effects, ferromagnetic saturation and hysteresis. For wave propagation effects and eddy-current effects, the results of stand-alone field simulation can be represented by an order-reduced equivalent model, which is then inserted in the overall circuit model. The representation of field-dependent nonlinearities and hysteresis effects, however, is not straightforward.

2D Simulation of a Transformer

2D Simulation of a Transformer

The coupled field and circuit simulation becomes troublesome when a large number of time steps is required. This occurs when e.g. simulating an electrical drive where the machine requires 10 periods of 50 Hz to reach nominal speed whereas the switching of the Insulated Gate Bipolar Transistors in the frequency converter switches at 20 kHz, necessitating a time steps in the order of a microsecond to be used in the simulation. Since the field model consists typically of a few million degrees of freedom, all those unknowns have to be solved in every time step. Fortunately, the relevant time constants in electrical-energy converter are in the range 50 Hz. Hence the field model does not have to be time-stepped at the same rate as the circuit model, in which fast switches are present. The use of adaptive multirate time-integration schemes can reduce the numerical complexity of the problem substantially.

Research Questions

Cooperation

Former and ongoing projects

Publications



2021

4442.

Bannenberg, MWFM; Ciccazzo, A
Reduced order multirate schemes for coupled differential-algebraic systems
Applied Numerical Mathematics, 168 :104–114
2021
Herausgeber: North-Holland

4441.

Sabirov, K.K.; Yusupov, J.R.; Aripov, M.M.; Ehrhardt, M.; Matrasulov, D.U.
Reflectionless propagation of {Manakov} solitons on a line: A model based on the concept of transparent boundary conditions
Phys. Rev. E, 103 (4) :043305
2021
Herausgeber: APS

4440.

Ehrhardt, Matthias
Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions
Physical Review E, 103 (4) :043305
2021
Herausgeber: American Physical Society

4439.

Ehrhardt, Matthias
Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions
Physical Review E, 103 (4) :043305
2021
Herausgeber: American Physical Society

4438.


Reflectionless propagation of Manakov solitons on a line: A model based on the concept of transparent boundary conditions
Physical Review E, 103 (4) :043305
2021
Herausgeber: American Physical Society

4437.

Acu, Ana-Maria; Gonska, Heiner; Heilmann, Margareta
Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render
2021

4436.

Kossaczká, Tatiana; Ehrhardt, Matthias; Günther, Michael
Results in Applied Mathematics
2021

4435.

Jacob, Birgit; Kaiser, Julia T.; Zwart, Hans
Riesz bases of port-Hamiltonian systems
SIAM J. Control Optim., 59 (6) :4646-4665
2021

4434.

Bartel, Andreas; Ehrhardt, Matthias; Günther, Michael
Rosenbrock--Wanner-Type Methods
2021

4433.


Rosenbrock-Wanner-Type Methods: Theory and Applications
In T. Jax and A. Bartel and M. Ehrhardt and M. Günther and G. Steinebach, Editor
Herausgeber: Springer
2021

ISBN: 978-3030768096

4432.


Rosenbrock-Wanner-Type Methods: Theory and Applications
In Jax, Tim and Bartel, Andreas and Ehrhardt, Matthias and Günther, Michael and Steinebach, Gerd, Editor aus Mathematics Online First Collections
Herausgeber: Springer Cham
2021

ISBN: 978-3-030-76809-6

4431.


Rosenbrock-Wanner-Type Methods: Theory and Applications
In Jax, Tim and Bartel, Andreas and Ehrhardt, Matthias and Günther, Michael and Steinebach, Gerd, Editor aus Mathematics Online First Collections
Herausgeber: Springer Cham
2021

ISBN: 978-3-030-76809-6

4430.


Rosenbrock-Wanner-Type Methods: Theory and Applications
In Jax, Tim and Bartel, Andreas and Ehrhardt, Matthias and Günther, Michael and Steinebach, Gerd, Editor aus Mathematics Online First Collections
Herausgeber: Springer Cham
2021

ISBN: 978-3-030-76809-6

4429.

Abreu, Pedro; others
Search for upward-going showers with the Fluorescence Detector of the Pierre Auger Observatory
PoS, ICRC2021 :1140
2021

4428.

Kähne, B.; Clemens, M.
Semi-Explicit Time Integration of a Reduced Magnetic Vector Potential Magneto-Quasistatic Field Formulation
The 12th International Symposium on Electric and Magnetic Fields (EMF 2021), Online Conference, 06.-08.07.2021. Abstract accepted.
2021

4427.

Erdogdu, Duygu; Wissdorf, Walter; Allers, Maria; Kirk, Ansgar T.; Kersten, Hendrik; Zimmermann, Stefan; Benter, Thorsten
Simulation of Cluster Dynamics of Proton-Bound Water Clusters in a High Kinetic Energy Ion-Mobility Spectrometer
Journal of the American Society for Mass Spectrometry, 32 (9) :2436--2450
September 2021
ISSN: 1044-0305, 1879-1123

4426.

Gaul, Daniela; Klamroth, Kathrin; Stiglmayr, Michael
Solving the Dynamic Dial-a-Ride Problem Using a Rolling-Horizon Event-Based Graph
In M. Müller-Hannemann and F. Perea, Editor, 21st Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2021) Band 96 aus Open Access Series in Informatics (OASIcs)
Seite 8:1-8:16
Herausgeber: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
2021
8:1-8:16

4425.

Weissen, Jennifer; Goettlich, Simone; Totzeck, Claudia
Space mapping-based optimization with the macroscopic limit of interacting particle systems
Optimization and Engineering, online
2021

4424.

Arora, Sahiba; Glück, Jochen
Spectrum and convergence of eventually positive operator semigroups
Semigroup Forum, 103 (3) :791--811
2021

4423.

Glück, Jochen; Mironchenko, Andrii
Stability criteria for positive linear discrete-time systems
Positivity, 25 (5) :2029--2059
2021

4422.

Jacob, Birgit; Skrepek, Nathanael
Stability of the multidimensional wave equation in port-Hamiltonian modelling
60th IEEE Conference on Decision and Control (CDC), Seite 6188-6193
Austin
2021

4421.

Alves Junior, Antonio Augusto; others
Status of the novel CORSIKA 8 air shower simulation framework
PoS, ICRC2021 :284
2021

4420.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Stochastic Runge-Kutta--Munthe-Kaas methods in the modelling of perturbed rigid bodies
2021

4419.

Günther, Michael; Sandu, Adrian; Zanna, Antonella
Symplectic GARK methods for Hamiltonian systems
arXiv preprint arXiv:2103.04110
2021

4418.

Günther, Michael; Sandu, Adrian; Zanna, Antonella
Symplectic GARK methods for Hamiltonian systems
Preprint
2021