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

3142.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High order combination technique for the efficient pricing of basket options
Acta Mathematica Universitatis Comenianae, 84 (2) :243–253
2015
Herausgeber: Univerzita Komenskeho

3141.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High order combination technique for the efficient pricing of basket options
Acta Mathematica Universitatis Comenianae, 84 (2) :243–253
2015
Herausgeber: Univerzita Komenskeho

3140.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High order combination technique for the efficient pricing of basket options
Acta Mathematica Universitatis Comenianae, 84 (2) :243–253
2015
Herausgeber: Univerzita Komenskeho

3139.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI schemes for parabolic equations in the combination technique with application in finance
2015

3138.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-Order-Compact ADI schemes for diffusion equations with mixed derivatives in the combination technique
2015

3137.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-order-compact ADI schemes for diffusion equations with mixed derivatives in the combination technique
Preprint IMACM
2015
Herausgeber: Bergische Universität Wuppertal

3136.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-order-compact ADI schemes for diffusion equations with mixed derivatives in the combination technique
Preprint IMACM
2015
Herausgeber: Bergische Universität Wuppertal

3135.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-order-compact ADI schemes for diffusion equations with mixed derivatives in the combination technique
Preprint IMACM
2015
Herausgeber: Bergische Universität Wuppertal

3134.

Alì, Giuseppe; Bartel, Andreas; Rotundo, Nella
Index-2 elliptic partial differential-algebraic models for circuits and devices
Journal of Mathematical Analysis and Applications, 423 (2) :1348–1369
2015
Herausgeber: Academic Press

3133.

Al{\`\i}, Giuseppe; Bartel, Andreas; Rotundo, Nella
Index-2 elliptic partial differential-algebraic models for circuits and devices
Journal of Mathematical Analysis and Applications, 423 (2) :1348--1369
2015
Herausgeber: Academic Press

3132.

Minion, M. L.; Speck, R.; Bolten, Matthias; Emmett, M.; Ruprecht, D.
Interweaving PFASST and parallel multigrid
SIAM J. Sci. Comput., 37 (5) :S244-S263
2015

3131.

Minion, M. L.; Speck, R.; Bolten, M.; Emmett, M.; Ruprecht, D.
Interweaving PFASST and parallel multigrid
SIAM J. Sci. Comput., 37 (5) :S244-S263
2015

3130.

Minion, M. L.; Speck, R.; Bolten, M.; Emmett, M.; Ruprecht, D.
Interweaving PFASST and parallel multigrid
SIAM J. Sci. Comput., 37 (5) :S244-S263
2015

3129.

Kauppila, Tiina J.; Kersten, Hendrik; Benter, Thorsten
Ionization of EPA Contaminants in Direct and Dopant-Assisted Atmospheric Pressure Photoionization and Atmospheric Pressure Laser Ionization
Journal of The American Society for Mass Spectrometry, 26 (6) :1036-1045
2015

3128.

Kauppila, Tiina J.; Kersten, Hendrik; Benter, Thorsten
Ionization of EPA Contaminants in Direct and Dopant-Assisted Atmospheric Pressure Photoionization and Atmospheric Pressure Laser Ionization
Journal of The American Society for Mass Spectrometry, 26 (6) :1036-1045
2015

3127.

Kauppila, Tiina J.; Kersten, Hendrik; Benter, Thorsten
Ionization of EPA Contaminants in Direct and Dopant-Assisted Atmospheric Pressure Photoionization and Atmospheric Pressure Laser Ionization
Journal of The American Society for Mass Spectrometry, 26 (6) :1036-1045
2015

3126.

Heilmann, Margareta; Raşa, Ioan
k-th order Kantorovich type modification of linking Baskakov type operators
Mathematical Analysis and its Applications - Proceedings of the Conference ICRTMAA 2014, Roorkee, IndiaBand 143aus Springer Proceedings in Mathematics and Statistics, Seite 229-242
International Conference on Recent Trends in Mathematical Analysis and its Applications
Roorkee, India
December 2014
In Agrawal, P.N. and Mohapatra, R.N. and Singh, U. and Srivastava, H.M., Editor
Herausgeber: Springer
2015

3125.

Bejan, Iustinian; Duncianu, Marius; Olariu, Romeo; Barnes, Ian; Seakins, Paul W.; Wiesen, Peter
Kinetic study of the gas-phase reactions of chlorine atoms with 2-chlorophenol, 2-nitrophenol, and four methyl-2-nitrophenol isomers
Journal of Physical Chemistry A, 119 (20) :4735-4745
2015

3124.

Bejan, Iustinian; Duncianu, Marius; Olariu, Romeo; Barnes, Ian; Seakins, Paul W.; Wiesen, Peter
Kinetic study of the gas-phase reactions of chlorine atoms with 2-chlorophenol, 2-nitrophenol, and four methyl-2-nitrophenol isomers
Journal of Physical Chemistry A, 119 (20) :4735-4745
2015

3123.

Bejan, Iustinian; Duncianu, Marius; Olariu, Romeo; Barnes, Ian; Seakins, Paul W.; Wiesen, Peter
Kinetic study of the gas-phase reactions of chlorine atoms with 2-chlorophenol, 2-nitrophenol, and four methyl-2-nitrophenol isomers
Journal of Physical Chemistry A, 119 (20) :4735-4745
2015

3122.

Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Kinetics of the reactions of Cl atoms with CF\(_{3}\)C(O)OCH\(_{3}\), CF\(_{3}\)C(O)OCH\(_{2}\)CH\(_{3}\), CF\(_{2}\)HC(O)OCH\(_{3}\) in the temperature range of 287-313K and 1atm
Chemical Physics Letters, 638 :15-20
2015
Herausgeber: North-Holland

3121.

Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Kinetics of the reactions of Cl atoms with CF\(_{3}\)C(O)OCH\(_{3}\), CF\(_{3}\)C(O)OCH\(_{2}\)CH\(_{3}\), CF\(_{2}\)HC(O)OCH\(_{3}\) in the temperature range of 287-313K and 1atm
Chemical Physics Letters, 638 :15-20
2015
Herausgeber: North-Holland

3120.

Blanco, María B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Kinetics of the reactions of Cl atoms with CF3C(O)OCH3, CF3C(O)OCH2CH3, CF2HC(O)OCH3 in the temperature range of 287-313K and 1atm
Chemical Physics Letters, 638 :15-20
2015
Herausgeber: North-Holland

3119.

Ehrhardt, Matthias
Mathematical modelling and numerical simulation of oil pollution problems
2015

3118.


Mathematical Modelling and Numerical Simulation of Oil Pollution Problems
In Ehrhardt, Matthias, Editor aus The Reacting Atmosphere
Herausgeber: Springer Cham
2015

ISBN: 978-3-319-16458-8