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

3693.

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

3692.

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

3691.

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

3690.

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

3689.

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

3688.

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

3687.

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

3686.

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

3685.

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

3684.

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

3683.

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

3682.

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

3681.

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

3680.

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

3679.

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

3678.

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

3677.

Putek, Piotr; Janssen, Rick; Niehof, Jan; Pulch, Roland; Tasi{\'c}, Bratislav; Günther, Michael
Nanoelectronic coupled problem solutions: uncertainty quantification of RFIC interference
Progress in Industrial Mathematics at ECMI 2016 19, Seite 271--279
Springer International Publishing
2017

3676.

Allmendinger, Richard; Ehrgott, Matthias; Gandibleux, Xavier; Geiger, Martin J.; Klamroth, Kathrin; Luque, Mariano
Navigation in multiobjective optimization methods
Journal of Multi-Criteria Decision Analysis, 24 :57-70
2017

3675.

Kienitz, Jörg
Negative rates: New market practice
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 47–63
Herausgeber: Springer Cham
2017
47–63

3674.

Kienitz, Jörg
Negative rates: New market practice
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 47–63
Herausgeber: Springer Cham
2017
47–63

3673.

Kienitz, Jörg
Negative rates: New market practice
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Seite 47–63
Herausgeber: Springer Cham
2017
47–63

3672.


Novel Methods in Computational Finance (Book)
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2017

ISBN: 978-3-319-61281-2

3671.


Novel Methods in Computational Finance (Book)
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2017

ISBN: 978-3-319-61281-2

3670.


Novel Methods in Computational Finance (Book)
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2017

ISBN: 978-3-319-61281-2

3669.

Wandelt, Dipl-Math M
Numerical Analysis and Simulation of Ordinary Differential Equations
2017
Herausgeber: University of Wuppertal