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
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
- Efficiency of the time-integration for field devices in pulsed circuits (multirate, dynamic iteration)
- DAE-index of the coupled system
- Existence and Uniqueness of the solution
Cooperation
- Herbert De Gersem, Katholieke Universiteit Leuven
- Markus Clemens, Bergische Universität Wuppertal
- Sascha Baumanns, Universität zu Köln
Former and ongoing projects
Publications
- 2015
3137.
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 Komenskeho3136.
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 Komenskeho3135.
Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI schemes for parabolic equations in the combination technique with application in finance
20153134.
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-Order-Compact ADI schemes for diffusion equations with mixed derivatives in the combination technique
20153133.
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 Wuppertal3132.
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 Wuppertal3131.
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 Wuppertal3130.
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 Press3129.
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 Press3128.
Minion, M. L.; Speck, R.; Bolten, Matthias; Emmett, M.; Ruprecht, D.
Interweaving PFASST and parallel multigrid
SIAM J. Sci. Comput., 37 (5) :S244-S263
20153127.
Minion, M. L.; Speck, R.; Bolten, M.; Emmett, M.; Ruprecht, D.
Interweaving PFASST and parallel multigrid
SIAM J. Sci. Comput., 37 (5) :S244-S263
20153126.
Minion, M. L.; Speck, R.; Bolten, M.; Emmett, M.; Ruprecht, D.
Interweaving PFASST and parallel multigrid
SIAM J. Sci. Comput., 37 (5) :S244-S263
20153125.
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
20153124.
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
20153123.
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
20153122.
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
20153121.
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
20153120.
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
20153119.
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
20153118.
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-Holland3117.
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-Holland3116.
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-Holland3115.
Ehrhardt, Matthias
Mathematical modelling and numerical simulation of oil pollution problems
20153114.
Mathematical Modelling and Numerical Simulation of Oil Pollution Problems
In Ehrhardt, Matthias, Editor aus The Reacting Atmosphere
Herausgeber: Springer Cham
2015ISBN: 978-3-319-16458-8
3113.
Mathematical Modelling and Numerical Simulation of Oil Pollution Problems
In Ehrhardt, Matthias, Editor aus The Reacting Atmosphere
Herausgeber: Springer Cham
2015ISBN: 978-3-319-16458-8