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

3260.

Pulch, Roland; Maten, E. Jan W.; Augustin, Florian
Sensitivity analysis and model order reduction for random linear dynamical systems
Math. Comput. Simul., 111 :80--95
Mai 2015
Herausgeber: Elsevier {BV}

3259.

Göstl, Robert; Hecht, Stefan
Photoreversible Prodrugs and Protags: Switching the Release of Maleimides by Using Light under Physiological Conditions
Chemistry – A European Journal, 21 (11) :4422--4427
März 2015
ISSN: 1521-3765

3258.

Putek, Piotr; Meuris, Peter; Pulch, Roland; Maten, E Jan W; Schoenmaker, Wim; Günther, Michael
Uncertainty quantification for robust topology optimization of power transistor devices
IEEE Transactions on Magnetics, 52 (3) :1--4
März 2015
Herausgeber: IEEE

3257.

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

3256.

Tausch, Michael W.; Meuter, Nico
''Photonen und Moleküle - Photolumineszenz und Photochromie'', Begleitheft zur gleichnamigen Interaktionsbox
Herausgeber: Hedinger, Stuttgart
2015

3255.

Tausch, Michael W.
''Photoprozesse als Kernthema'', Chemie und Energie in Schülerlaboren
TU Braunschweig
2015

3254.

Jacob, Birgit; Morris, Kirsten; Zwart, Hans
{C_0}-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
J. Evol. Equ., 15 (2) :493--502
2015

3253.

Jacob, Birgit; Morris, Kirsten; Zwart, Hans
C_0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain
J. Evol. Equ., 15 (2) :493--502
2015

3252.

Friedhoff, S.; MacLachlan, S.
A generalized predictive analysis tool for multigrid methods
Numer. Linear Algebra Appl., 22 (4) :618-647
2015

3251.

Friedhoff, S.; MacLachlan, S.
A generalized predictive analysis tool for multigrid methods
Numer. Linear Algebra Appl., 22 (4) :618-647
2015

3250.

Friedhoff, S.; MacLachlan, S.
A generalized predictive analysis tool for multigrid methods
Numer. Linear Algebra Appl., 22 (4) :618-647
2015

3249.

Sandu, Adrian; Günther, Michael
A generalized-structure approach to additive Runge--Kutta methods
SIAM Journal on Numerical Analysis, 53 (1) :17--42
2015
Herausgeber: Society for Industrial and Applied Mathematics

3248.

Sandu, Adrian; Günther, Michael
A generalized-structure approach to dditive Runge-Kutta methods
SIAM Journal on Numerical Analysis, 53 (1) :17–42
2015
Herausgeber: Society for Industrial and Applied Mathematics

3247.

Sandu, Adrian; Günther, Michael
A generalized-structure approach to dditive Runge-Kutta methods
SIAM Journal on Numerical Analysis, 53 (1) :17–42
2015
Herausgeber: Society for Industrial and Applied Mathematics

3246.

Dächert, Kerstin; Klamroth, Kathrin
A linear bound on the number of scalarizations needed to solve discrete tricriteria optimization problems
Journal of Global Optimization, 61 (4) :643–676
2015

3245.

Speck, R.; Ruprecht, D.; Emmett, M.; Minion, M.; Bolten, Matthias; Krause, R.
A multi-level spectral deferred correction method
BIT, 55 :843-867
2015

3244.

Speck, R.; Ruprecht, D.; Emmett, M.; Minion, M.; Bolten, M.; Krause, R.
A multi-level spectral deferred correction method
BIT, 55 :843-867
2015

3243.

Speck, R.; Ruprecht, D.; Emmett, M.; Minion, M.; Bolten, M.; Krause, R.
A multi-level spectral deferred correction method
BIT, 55 :843--867
2015

3242.

Ehrhardt, Matthias
A Transparent Boundary Condition for an Elastic Bottom in Underwater Acoustics
In I. Dimov and I. Farago and L. Vulkov, Editor, Finite Difference Methods, Theory and Applications: 6th International Conference, FDM 2014, Lozenetz, Bulgaria, June 18-23, 2014, Revised Selected Papers 6Band9045ausLecture Notes in Computer Science, Seite 15--24
Springer International Publishing
In I. Dimov and I. Farago and L. Vulkov, Editor
Herausgeber: Springer
2015

3241.

Ehrhardt, Matthias
A transparent boundary condition for an elastic bottom in underwater acoustics
Finite Difference Methods, Theory and Applications: 6th International Conference, FDM 2014, Lozenetz, Bulgaria, June 18-23, 2014, Revised Selected Papers, Seite 15–24
Springer International Publishing
Herausgeber: Springer Cham
2015

3240.

Ehrhardt, Matthias
A transparent boundary condition for an elastic bottom in underwater acoustics
Finite Difference Methods, Theory and Applications: 6th International Conference, FDM 2014, Lozenetz, Bulgaria, June 18-23, 2014, Revised Selected Papers, Seite 15–24
Springer International Publishing
Herausgeber: Springer Cham
2015

3239.

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

3238.

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

3237.

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

3236.

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