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



1996

667.

Wiesen, Peter; Kleffmann, Jörg; Kurtenbach, Ralf; Becker, Karl Heinz
Emission of nitrous oxide and methane from aero engines: Monitoring by tunable diode laser spectroscopy
Infrared Physics and Technology, 37 (1) :75-81
1996
Herausgeber: Pergamon

666.

Hamacher, Horst W.; Klamroth, Kathrin; Nickel, Stefan
EWGLA 8 Proceedings
Band 10 aus Special Issue of Studies in Locational Analysis
1996

665.

Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer, Henry F.
High-level ab initio calculation of the rotation-vibration energies in the c\verb=~= \(^{1}\)A\(_{1}\) state of methylene, CH\(_{2}\)
Journal of Physical Chemistry, 100 (46) :18088-18092
1996

664.

Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer, Henry F.
High-level ab initio calculation of the rotation-vibration energies in the c\verb=~= \(^{1}\)A\(_{1}\) state of methylene, CH\(_{2}\)
Journal of Physical Chemistry, 100 (46) :18088-18092
1996

663.

Bunker, Philip R.; Jensen, Per; Yamaguchi, Yukio; Schaefer, Henry F.
High-level ab initio calculation of the rotation-vibration energies in the c~ 1A1 state of methylene, CH2
Journal of Physical Chemistry, 100 (46) :18088-18092
1996

662.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Towle, J. P.; Brown, John M.
High-Resolution Study of the X\(_{2}\)1 → X\(_{1}\)0\(^{+}\) Fine-Structure Transition of BiF
Journal of Molecular Spectroscopy, 178 (2) :143-156
1996
Herausgeber: Academic Press

661.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Towle, J. P.; Brown, John M.
High-Resolution Study of the X\(_{2}\)1 → X\(_{1}\)0\(^{+}\) Fine-Structure Transition of BiF
Journal of Molecular Spectroscopy, 178 (2) :143-156
1996
Herausgeber: Academic Press

660.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Towle, J. P.; Brown, John M.
High-Resolution Study of the X21 → X10+ Fine-Structure Transition of BiF
Journal of Molecular Spectroscopy, 178 (2) :143-156
1996
Herausgeber: Academic Press

659.

Becker, Karl Heinz; Geiger, Harald; Wiesen, Peter
Kinetics of the reaction CH + N\(_{2}\) [M]→ Products in the range 10-620 torr and 298-1059 K
International Journal of Chemical Kinetics, 28 (2) :115-123
1996

658.

Becker, Karl Heinz; Geiger, Harald; Wiesen, Peter
Kinetics of the reaction CH + N\(_{2}\) [M]→ Products in the range 10-620 torr and 298-1059 K
International Journal of Chemical Kinetics, 28 (2) :115-123
1996

657.

Becker, Karl Heinz; Geiger, Harald; Wiesen, Peter
Kinetics of the reaction CH + N2 [M]→ Products in the range 10-620 torr and 298-1059 K
International Journal of Chemical Kinetics, 28 (2) :115-123
1996

656.

G\"unther, Michael; Denk, G.; Feldmann, U.
Modeling and simulating charge sensitive {MOS} circuits
Math. Modelling of Systems, 2 :69--81
1996

655.

Günther, Michael; Denk, Georg; Feldmann, Uwe
Modeling and simulating charge sensitive MOS circuits
Mathematical Modelling of Systems, 2 (1) :69–81
1996
Herausgeber: Taylor & Francis

654.

Denk, G; Feldmann, U
Modelling and simulating charge sensitive MOS circuits
Mathematical Modelling of Systems, 2 (1) :69--81
1996
Herausgeber: Taylor \& Francis

653.

Günther, Michael; Hoschek, Markus
Modified ROW methods for electric circuit simulation packages
Preprint (1864)
1996
Herausgeber: Technische Hochschule Darmstadt

652.

Günther, Michael
Numerical solution of differential-algebraic equations in electric circuit simulation
In Neunzert, Helmut, Editor
Seite 285–294
Herausgeber: Vieweg+ Teubner
1996
285–294

651.

Günther, Michael
Numerical solution of differential-algebraic equations in electric circuit simulation
Progress in Industrial Mathematics at ECMI 94 :285--294
1996
Herausgeber: Vieweg+ Teubner Verlag

650.

Denk, Georg; Günther, Michael; Simeon, Bernd
Numerische simulation in chip-design und fahrzeugtechnik
Preprint (1841)
1996
Herausgeber: Technische Hochschule Darmstadt

649.

GrÄb, Robert; Günther, Michael; Wever, Utz; Zheng, Qinghua
Optimization of parallel multilevel-Newton algorithms on workstation clusters
In Bougé, Luc and Fraigniaud, Pierre and Mignotte, Anne and Robert, Yves, Editor, Euro-Par96 Parallel ProcessingBand1124ausLecture Notes in Computer Science, Seite 91–96
In Bougé, Luc and Fraigniaud, Pierre and Mignotte, Anne and Robert, Yves, Editor
Herausgeber: Springer Berlin Heidelberg
1996

648.

GrÄb, Robert; Günther, Michael; Wever, Utz; Zheng, Qinghua
Optimization of parallel multilevel-Newton algorithms on workstation clusters
In L. Bouge and et al., Editor, Euro-Par'96 Parallel Processing: Second International Euro-Par Conference Lyon, France, August 26--29, 1996 Proceedings, Volume II 2Band1124ausLecture Notes in Computer Science, Seite 91--96
Springer Berlin Heidelberg
In L. Bouge and et al., Editor
Herausgeber: Berlin, Springer-Verlag
1996

647.

Klamroth, Kathrin; Mengersen, Ingrid
Ramsey numbers of K_3 versus (p,q)-graphs
Ars Combinatoria, 43 :107-120
1996

646.

Becker, Karl Heinz; Kleffmann, Jörg; Kurtenbach, Ralf; Wiesen, Peter
Solubility of nitrous acid (HONO) in sulfuric acid solutions
Journal of Physical Chemistry, 100 (36) :14984-14990
1996

645.

Becker, Karl Heinz; Kleffmann, Jörg; Kurtenbach, Ralf; Wiesen, Peter
Solubility of nitrous acid (HONO) in sulfuric acid solutions
Journal of Physical Chemistry, 100 (36) :14984-14990
1996

644.

Becker, Karl Heinz; Kleffmann, Jörg; Kurtenbach, Ralf; Wiesen, Peter
Solubility of nitrous acid (HONO) in sulfuric acid solutions
Journal of Physical Chemistry, 100 (36) :14984-14990
1996

643.

Tausch, Michael W.; Wachtendonk, M.; Porth, H.-R.; Schulze, I.; Wambach, H.
STOFF-FORMEL-UMWELT, CHEMIE S I
Herausgeber: C. C. Buchner, Bamberg
1996