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



2022

4816.

[english] Mertineit, Ann-Kathrin; Burdinski, Dirk; Zulauf, Bert; Hackradt, Hans; Meuter, Nico; Bohrmann-Linde, Claudia; Schaper, Klaus
Helping Digital Natives to Become Digital Natives Through Production Standards, Research AND Quality Ssystems?
Seite 3913-3920
2022

ISBN: 978-84-09-45476-1

4815.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Higher Strong Order Methods for linear {Itô} {SDEs} on matrix {Lie} Groups
BIT Numer. Math.
Januar 2022
Herausgeber: Springer
ISSN: 1572-9125

4814.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Higher strong order methods for linear It{\^o} SDEs on matrix Lie groups
BIT Numerical Mathematics :1--25
2022
Herausgeber: Springer Netherlands Dordrecht

4813.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Higher strong order methods for linear Itô SDEs on matrix Lie groups
BIT Numerical Mathematics, 62 (3) :1095–1119
2022
Herausgeber: Springer Netherlands

4812.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Higher strong order methods for linear Itô SDEs on matrix Lie groups
BIT Numerical Mathematics, 62 (3) :1095–1119
2022
Herausgeber: Springer Netherlands

4811.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Higher strong order methods for linear Itô SDEs on matrix Lie groups
BIT Numerical Mathematics, 62 (3) :1095–1119
2022
Herausgeber: Springer Netherlands

4810.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Higher strong order methods for linear Itô SDEs on matrix Lie groups
BIT Numerical Mathematics :1--25
2022
Herausgeber: Springer Netherlands Dordrecht

4809.

Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate
Higher strong order methods for linear Ito SDEs on matrix Lie groups (Jan, 10.1007/s10543-021-00905-9, 2022)
BIT Numerical Mathematics, 62 (3) :1093--1093
2022
Herausgeber: SPRINGER VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS

4808.

Nowaczyk, Nikolai; Kienitz, Jörg; Acar, Sarp Kaya; Liang, Qian
How deep is your model? Network topology selection from a model validation perspective
Journal of Mathematics in Industry, 12 (1) :1
2022
Herausgeber: Springer Verlag

4807.

Nowaczyk, N.; Kienitz, J.; Acar, S. K.; Liang, Q.
How deep is your model? Network topology selection from a model validation perspective
JMI, 12 (1)
2022

4806.


Hypervalent Iodine-Mediated Azidation Reactions
European Journal of Organic Chemistry (34)
2022
ISSN: 1434-193X

4805.

Henkel, Marvin-Lucas; Kasolis, Fotios; Clemens, Markus; Günther, Michael; Schöps, Sebastian
Implicit Gauging of Electromagneto-Quasistatic Field Formulations
IEEE Transactions on Magnetics, 58 (9) :1--4
2022
Herausgeber: IEEE

4804.

Henkel, Marvin-Lucas; Kasolis, Fotios; Clemens, Markus; Günther, Michael; Schöps, Sebastian
Implicit gauging of electromagneto-quasistatic field formulations
IEEE Transactions on Magnetics, 58 (9) :1–4
2022
Herausgeber: IEEE

4803.

Henkel, Marvin-Lucas; Kasolis, Fotios; Clemens, Markus; Günther, Michael; Schöps, Sebastian
Implicit gauging of electromagneto-quasistatic field formulations
IEEE Transactions on Magnetics, 58 (9) :1–4
2022
Herausgeber: IEEE

4802.

Ackermann, Julia; Kruse, Thomas; Overbeck, Ludger
Inhomogeneous affine Volterra processes
Stochastic Processes and their Applications, 150 :250–279
2022
Herausgeber: North-Holland

4801.

Ackermann, Julia; Kruse, Thomas; Overbeck, Ludger
Inhomogeneous affine Volterra processes
Stochastic Processes and their Applications, 150 :250--279
2022
Herausgeber: North-Holland

4800.

Ackermann, Julia; Kruse, Thomas; Overbeck, Ludger
Inhomogeneous affine Volterra processes
Stochastic Processes and their Applications, 150 :250–279
2022
Herausgeber: North-Holland

4799.

Burgmann, Sebastian; Krämer, Veronika; Rohde, Martin; Dues, Michael; Janoske, Uwe
Inner and outer flow of an adhering droplet in shear flow
International Journal of Multiphase Flow, 153 :104140
2022
ISSN: 0301-9322

4798.

Hosfeld, René; Jacob, Birgit; Schwenninger, Felix
Integral input-to-state stability of unbounded bilinear control systems
Math. Control Signals Systems, 34 (2) :273-295
2022

4797.

Schweitzer, Marcel
Integral representations for higher-order Fréchet derivatives of matrix functions: Quadrature algorithms and new results on the level-2 condition number
2022

4796.

Tovar, Carmen Maria; Barnes, Ian; Bejan, Iustinian Gabriel; Wiesen, Peter
Kinetic study of the atmospheric oxidation of a series of epoxy compounds by OH radicals
Atmospheric Chemistry and Physics, 22 (10) :6989—7004
Mai 2022
ISSN: 1680-7324

4795.

Cardona, Alejandro L.; Gibilisco, Rodrigo G.; Rivela, Cynthia B.; Blanco, María B.; Patroescu-Klotz, Iulia; Illmann, Niklas; Wiesen, Peter; Teruel, Mariano A.
Kinetics, product distribution and atmospheric implications of the gas-phase oxidation of allyl sulfides by OH radicals
Chemosphere, 288 :132546
Februar 2022
ISSN: 00456535

4794.

Bolten, Matthias; Sturler, E. De; Hahn, C.
Krylov Subspace Recycling for Evolving Structures
Comput. Methods Appl. Mech. Engrg., 391 :114222
2022

4793.

Bolten, M.; Sturler, E. De; Hahn, C.
Krylov Subspace Recycling for Evolving Structures
Comput. Methods Appl. Mech. Engrg., 391 :114222
2022

4792.

Bolten, M.; De Sturler, E.; Hahn, C.
Krylov Subspace Recycling for Evolving Structures
Comput. Methods Appl. Mech. Engrg., 391 :114222
2022