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

3242.

Hahne, J.; Helias, M.; Kunkel, S.; Igarashi, J.; Bolten, Matthias; Frommer, A.; Diesmann, M.
A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations
Front. Neuroinform., 9 :00022
2015

3241.

Hahne, J.; Helias, M.; Kunkel, S.; Igarashi, J.; Bolten, M.; Frommer, A.; Diesmann, M.
A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations
Front. Neuroinform., 9 :00022
2015

3240.

Hahne, J.; Helias, M.; Kunkel, S.; Igarashi, J.; Bolten, M.; Frommer, A.; Diesmann, M.
A unified framework for spiking and gap-junction interactions in distributed neuronal network simulations
Front. Neuroinform., 9 :00022
2015

3239.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
A versatile approach for stochastic correlation using hyperbolic functions
International Journal of Computer Mathematics, 93 (3) :524–539
2015
Herausgeber: Taylor & Francis

3238.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
A versatile approach for stochastic correlation using hyperbolic functions
International Journal of Computer Mathematics, 93 (3) :524–539
2015
Herausgeber: Taylor & Francis

3237.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
A versatile approach for stochastic correlation using hyperbolic functions
International Journal of Computer Mathematics, 93 (3) :524–539
2015
Herausgeber: Taylor & Francis

3236.

Götz, Till
Adsorptionsverhalten polyfluorierter Tenside an Polyamid und Analytik mittels HPLC-MS
2015

3235.

Harutyunyan, Davit; Ionutiu, Roxana; Maten, E. Jan W.; Rommes, Joost; Schilders, Wil H. A.; Striebel, Michael
Advanced topics in model order reduction
In Günther, M., Editor, Band 21 aus Mathematics in Industry
Seite 361–432
Herausgeber: Springer Berlin Heidelberg
2015
361–432

3234.

Harutyunyan, Davit; Ionutiu, Roxana; Maten, E. Jan W.; Rommes, Joost; Schilders, Wil H. A.; Striebel, Michael
Advanced Topics in Model Order Reduction
In Günther, M., Editor, Coupled Multiscale Simulation and Optimization in Nanoelectronics Band 21 aus Mathematics in Industry
Kapitel 6, Seite 361--432
Herausgeber: Springer Berlin Heidelberg
2015
361--432

3233.

Harutyunyan, Davit; Ionutiu, Roxana; Maten, E. Jan W.; Rommes, Joost; Schilders, Wil H. A.; Striebel, Michael
Advanced topics in model order reduction
In Günther, M., Editor, Band 21 aus Mathematics in Industry
Seite 361–432
Herausgeber: Springer Berlin Heidelberg
2015
361–432

3232.

Ebersbach, Ina
Aerosol-basierte Eliminierung von per- und polyfluorierten Tensiden aus wässrigen Lösungen
2015

3231.

Orlob, Benedikt Bernd Ralph
Aerosol-basierte Eliminierung von perfluorierten Tensiden aus Grundwässern
2015

3230.

Tausch, Michael W.
All we need is light
MINT-Zirkel, 4 (5+6) :5
2015

3229.

Tausch, Michael W.
All We Need Is Light - Editorial zum International Year of Light 2015
Praxis der Naturwissenschaften - Chemie in der Schule, 64 (1) :4
2015

3228.

Ehrhardt, Matthias; Günther, Michael
Alternating direction explicit methods for convection diffusion equations
Acta Mathematica Universitatis Comenianae, 84 (2) :309--325
2015

3227.

Ehrhardt, Matthias; Günther, Michael
Alternating direction explicit methods for convection diffusion equations
Acta Mathematica Universitatis Comenianae, 84 (2) :309–325
2015
Herausgeber: Univerzita Komenskeho

3226.

Ehrhardt, Matthias; Günther, Michael
Alternating direction explicit methods for convection diffusion equations
Acta Mathematica Universitatis Comenianae, 84 (2) :309–325
2015
Herausgeber: Univerzita Komenskeho

3225.

Ehrhardt, Matthias; Günther, Michael
Alternating direction explicit methods for convection diffusion equations
Acta Mathematica Universitatis Comenianae, 84 (2) :309–325
2015
Herausgeber: Univerzita Komenskeho

3224.

Bolten, Matthias; Donatelli, M.; Huckle, T.
Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices
Electron. Trans. Numer. Anal., 44 :25-52
2015

3223.

Bolten, M.; Donatelli, M.; Huckle, T.
Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices
Electron. Trans. Numer. Anal., 44 :25-52
2015

3222.

Bolten, M.; Donatelli, M.; Huckle, T.
Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices
Electron. Trans. Numer. Anal., 44 :25--52
2015

3221.

Minder, Lorenz; Sauerwald, Thomas; Wegner, Sven-Ake
Asymptotic bounds on the equilateral dimension of hypercubes
Graphs Combin., 31 (5) :1629--1636
2015

3220.

Jacob, Birgit; Wegner, Sven-Ake
Asymptotics of evolution equations beyond {B}anach spaces
Semigroup Forum, 91 (2) :347--377
2015

3219.

Jacob, Birgit; Wegner, Sven-Ake
Asymptotics of evolution equations beyond Banach spaces
Semigroup Forum, 91 (2) :347--377
2015

3218.

Gibilisco, Rodrigo G.; Blanco, Mar{í}a B.; Bejan, Iustinian; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Atmospheric Sink of (E)-3-Hexen-1-ol, (Z)-3-Hepten-1-ol, and (Z)-3-Octen-1-ol: Rate Coefficients and Mechanisms of the OH-Radical Initiated Degradation
Environmental Science and Technology, 49 (13) :7717-7725
2015