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



2015

3175.

Bartel, Andreas; Ehrhardt, Matthias
Discrete artificial boundary conditions for the lattice Boltzmann method in 2D
ESAIM: Proceedings and Surveys, 52 :47–65
2015
Herausgeber: EDP Sciences

3174.

Bartel, Andreas; Ehrhardt, Matthias
Discrete artificial boundary conditions for the lattice Boltzmann method in 2D
ESAIM: Proceedings and Surveys, 52 :47–65
2015
Herausgeber: EDP Sciences

3173.

[german] Tausch, Michael W.; Spinnen, Sebastian
Ein multiples Chamäleon - Photochromie, Solvatochromie und aggregationsinduzierte Fluoreszenz
Praxis der Naturwissenschaften - Chemie in der Schule, 64 (6) :46--49
2015

3172.

Günther, Michael
Electrical circuits
In Engquist, Björn, Editor
Seite 411–417
Herausgeber: Springer Berlin Heidelberg
2015
411–417

3171.

Günther, Michael
Electrical circuits
In Engquist, Björn, Editor
Seite 411–417
Herausgeber: Springer Berlin Heidelberg
2015
411–417

3170.

Günther, Michael
Electrical Circuits
Encyclopedia of Applied and Computational Mathematics
Seite 411--417
Herausgeber: Springer
2015
411--417

3169.

Setzer, Klaus Dieter; Fink, Ewald H.; Hill, Christian; Brown, John M.
Electronic states and spectra of BiH
Journal of Molecular Spectroscopy, 312 :97-109
2015
Herausgeber: Academic Press

3168.

Setzer, Klaus Dieter; Fink, Ewald H.; Hill, Christian; Brown, John M.
Electronic states and spectra of BiH
Journal of Molecular Spectroscopy, 312 :97-109
2015
Herausgeber: Academic Press

3167.

Setzer, Klaus Dieter; Fink, Ewald H.; Hill, Christian; Brown, John M.
Electronic states and spectra of BiH
Journal of Molecular Spectroscopy, 312 :97-109
2015
Herausgeber: Academic Press

3166.

Ludwig, Svenja Maria
Eliminierung von 6:2 Fluortelomersulfat aus wässrigen Lösungen
2015

3165.

Lüpertz, Matthias
Entwicklung einer fouling-kompensierenden NIR-Sonde
2015

3164.

Meyer, Martin
Entwicklung einer Screening Analytik von oxidativer Schwarzlauge
2015

3163.

Kinel, Agata
Entwicklung und Einführung einer schnellen Analytik von Silikonen in verschiedenen Matrices
2015

3162.

Beck, Madeleine
Entwicklung von HPLC-Methoden zur Bestimmung von Aminen und Säureanhydriden in Lackharzen
2015

3161.

Setzer, Klaus-Dieter; Fink, Ewald H.; Liebermann, Heinz-Peter; Buenker, Robert J.; Alekseyev, Aleksey B.
Experimental and theoretical study of the electronic states and spectra of BiLi
Journal of Molecular Spectroscopy, 312 :38-45
2015
Herausgeber: Academic Press

3160.

Setzer, Klaus-Dieter; Fink, Ewald H.; Liebermann, Heinz-Peter; Buenker, Robert J.; Alekseyev, Aleksey B.
Experimental and theoretical study of the electronic states and spectra of BiLi
Journal of Molecular Spectroscopy, 312 :38-45
2015
Herausgeber: Academic Press

3159.

Setzer, Klaus-Dieter; Fink, Ewald H.; Liebermann, Heinz-Peter; Buenker, Robert J.; Alekseyev, Aleksey B.
Experimental and theoretical study of the electronic states and spectra of BiLi
Journal of Molecular Spectroscopy, 312 :38-45
2015
Herausgeber: Academic Press

3158.

Setzer, Klaus-Dieter; Fink, Ewald H.; Liebermann, Heinz-Peter; Buenker, Robert J.; Alekseyev, Aleksey B.
Experimental and theoretical study of the electronic states and spectra of SbNa
Journal of Molecular Spectroscopy, 318 :1-11
2015
Herausgeber: Academic Press

3157.

Setzer, Klaus-Dieter; Fink, Ewald H.; Liebermann, Heinz-Peter; Buenker, Robert J.; Alekseyev, Aleksey B.
Experimental and theoretical study of the electronic states and spectra of SbNa
Journal of Molecular Spectroscopy, 318 :1-11
2015
Herausgeber: Academic Press

3156.

Setzer, Klaus-Dieter; Fink, Ewald H.; Liebermann, Heinz-Peter; Buenker, Robert J.; Alekseyev, Aleksey B.
Experimental and theoretical study of the electronic states and spectra of SbNa
Journal of Molecular Spectroscopy, 318 :1-11
2015
Herausgeber: Academic Press

3155.

Bohrmann-Linde, Claudia
Exploring Liquid Crystals with Kids
EPANewsletters, 88 :140--145
2015
Herausgeber: European Photochemistry Association

3154.

Belen, Kübra
Flechten als Thema im Sachunterricht in der Grundschule
2015

3153.

Shcherbakov, Dmitry; Ehrhardt, Matthias; Günther, Michael; Peardon, Michael
Force-gradient nested multirate methods for Hamiltonian systems
Computer Physics Communications, 187 :91–97
2015
Herausgeber: North-Holland

3152.

Shcherbakov, Dmitry; Ehrhardt, Matthias; Günther, Michael; Peardon, Michael
Force-gradient nested multirate methods for Hamiltonian systems
Computer Physics Communications, 187 :91–97
2015
Herausgeber: North-Holland

3151.

Shcherbakov, Dmitry; Ehrhardt, Matthias; Günther, Michael; Peardon, Michael
Force-gradient nested multirate methods for Hamiltonian systems
Computer Physics Communications, 187 :91–97
2015
Herausgeber: North-Holland