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



2017

3692.

Bohrmann-Linde, Claudia; Kröger, Simone; Siehr, I.
Lehrerband zu Chemie 1 (Berlin/Brandenburg)
Herausgeber: C.C.Buchner, Bamberg
2017

3691.

Schnepper, Teresa
Location problems with k-max functions: modelling and analysing outliers in center problems
Dissertation
Dissertation
Bergische Universität Wuppertal
2017

3690.

Kruse, Thomas; Popier, Alexandre
Lp-solution for BSDEs with jumps in the case p< 2: Corrections to the paper ‘BSDEs with monotone generator driven by Brownian and Poisson noises in a general filtration’
Stochastics, 89 (8) :1201--1227
2017
Herausgeber: Taylor & Francis

3689.

Kruse, Thomas; Popier, Alexandre
Lp-solution for BSDEs with jumps in the case p< 2: Corrections to the paper ‘BSDEs with monotone generator driven by Brownian and Poisson noises in a general filtration’
Stochastics, 89 (8) :1201–1227
2017
Herausgeber: Taylor & Francis

3688.

Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Mechanism and Product Distribution of the O3-Initiated Degradation of (E)-2-Heptenal, (E)-2-Octenal, and (E)-2-Nonenal
Journal of Physical Chemistry A, 121 (27) :5147-5155
2017

3687.

Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Mechanism and Product Distribution of the O3-Initiated Degradation of (E)-2-Heptenal, (E)-2-Octenal, and (E)-2-Nonenal
Journal of Physical Chemistry A, 121 (27) :5147-5155
2017

3686.

Gaona-Colmán, Elizabeth; Blanco, María B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Mechanism and Product Distribution of the O3-Initiated Degradation of (E)-2-Heptenal, (E)-2-Octenal, and (E)-2-Nonenal
Journal of Physical Chemistry A, 121 (27) :5147-5155
2017

3685.

Maten, E. Jan W.; Ehrhardt, Matthias
Minisymposium: Computational methods for finance and energy markets
Progress in Industrial Mathematics at ECMI 2016, Seite 141–143
Herausgeber: Springer Cham
2017

3684.

Maten, E. Jan W.; Ehrhardt, Matthias
Minisymposium: Computational methods for finance and energy markets
Progress in Industrial Mathematics at ECMI 2016, Seite 141–143
Herausgeber: Springer Cham
2017

3683.

Maten, E Jan W; Ehrhardt, Matthias
Minisymposium: Computational Methods for Finance and Energy Markets
In P. Quintela and P. Barral and D. Gómez and F.J. Pena and J. Rodriguez and P. Salgado and M. E. Vázquez-Méndez, Editor, Progress in Industrial Mathematics at ECMI 2016 19Band26ausMathematics in Industry Vol, Seite 141--143
Springer International Publishing
In P. Quintela and P. Barral and D. Gómez and F.J. Pena and J. Rodriguez and P. Salgado and M. E. Vázquez-Méndez, Editor
Herausgeber: Springer International Publishing
2017

3682.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling and calibration of stochastic correlation in finance
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor
Seite 83–105
Herausgeber: Springer Cham
2017
83–105

3681.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling and calibration of stochastic correlation in finance
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor
Seite 83–105
Herausgeber: Springer Cham
2017
83–105

3680.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling and calibration of stochastic correlation in finance
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor
Seite 83–105
Herausgeber: Springer Cham
2017
83–105

3679.

Teng, Long; Ehrhardt, Matthias; Günther, Michael
Modelling and Calibration of Stochastic Correlation in Finance
Novel Methods in Computational Finance :83--105
2017
Herausgeber: Springer International Publishing

3678.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Monte Carlo Methods
Lattice Quantum Chromodynamics: Practical Essentials :35--53
Oktober 2017
Herausgeber: Springer Netherlands

3677.

Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, E. Jan W.; Günther, Michael; Paƚka, Ryszard; Lahaye, Domenico
Multi-objective topology optimization of a permanent magnet machine to reduce electromagnetic losses and cogging torque
International Journal of Applied Electromagnetics and Mechanics, 53 (2_suppl) :S203–S212
2017
Herausgeber: IOS Press

3676.

Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, E. Jan W.; Günther, Michael; Paƚka, Ryszard; Lahaye, Domenico
Multi-objective topology optimization of a permanent magnet machine to reduce electromagnetic losses and cogging torque
International Journal of Applied Electromagnetics and Mechanics, 53 (2_suppl) :S203–S212
2017
Herausgeber: IOS Press

3675.

Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, E Jan W; Günther, Michael; Paƚka, Ryszard
Multi-objective topology optimization of a permanent magnet machine to reduce electromagnetic losses and cogging torque
International Journal of Applied Electromagnetics and Mechanics, 53 (S2) :S203--S212
2017
Herausgeber: IOS Press

3674.

Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S.
Multigrid methods with space-time concurrency
Comput. Vis. Sci., 18 (4-5) :123-143
2017

3673.

Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S.
Multigrid methods with space-time concurrency
Comput. Vis. Sci., 18 (4-5) :123-143
2017

3672.

Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S.
Multigrid methods with space-time concurrency
Comput. Vis. Sci., 18 (4-5) :123-143
2017

3671.

Klamroth, Kathrin; Mostaghim, Sanaz; Naujoks, Boris; Poles, Silvia; Purshouse, Robin; Rudolph, Günter; Ruzika, Stefan; Sayin, Serpil; Wiecek, Margaret; Yao, Xin
Multiobjective optimization for interwoven systems
Journal of Multi-Criteria Decision Analysis, 24 :71-81
2017

3670.

Ehrhardt, Matthias
Multiscale Approach to Parabolic Equations Derivation: Beyond the Linear Theory
Procedia Computer Science, 108 :1823--1831
2017
Herausgeber: Elsevier

3669.

Ehrhardt, Matthias
Multiscale approach to parabolic equations derivation: Beyond the Linear theory
Procedia Computer Science, 108 :1823–1831
2017
Herausgeber: Elsevier

3668.

Ehrhardt, Matthias
Multiscale approach to parabolic equations derivation: Beyond the Linear theory
Procedia Computer Science, 108 :1823–1831
2017
Herausgeber: Elsevier