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

642.

G\"unther, Michael; Rentrop, P.
The {NAND-gate} -- a benchmark for the numerical simulation of digital circuits
In W.~Mathis and P.~Noll, Editor, 2.ITG-Diskussionssitzung ''Neue Anwendungen Theoretischer Konzepte in der Elektrotechnik - mit Gedenksitzung zum 50. Todestag von Wilhelm Cauer'', Seite 27--33
In W.~Mathis and P.~Noll, Editor
Herausgeber: Berlin, VDE-Verlag
1996

641.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) Transitions of AsH and AsD
Journal of Molecular Spectroscopy, 178 (2) :165-171
1996
Herausgeber: Academic Press

640.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) Transitions of AsH and AsD
Journal of Molecular Spectroscopy, 178 (2) :165-171
1996
Herausgeber: Academic Press

639.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) transitions of PH and PD
Chemical Physics Letters, 249 (3-4) :183-190
1996

638.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) transitions of PH and PD
Chemical Physics Letters, 249 (3-4) :183-190
1996

637.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)(a2) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{2}\)1) Transitions of SbH and SbD
Journal of Molecular Spectroscopy, 179 (1) :79-84
1996
Herausgeber: Academic Press

636.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)(a2) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{2}\)1) Transitions of SbH and SbD
Journal of Molecular Spectroscopy, 179 (1) :79-84
1996
Herausgeber: Academic Press

635.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)(a2) States of BiCl, BiBr, and BiI
Journal of Molecular Spectroscopy, 175 (1) :48-53
1996
Herausgeber: Academic Press

634.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)(a2) States of BiCl, BiBr, and BiI
Journal of Molecular Spectroscopy, 175 (1) :48-53
1996
Herausgeber: Academic Press

633.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a1Δ → X3Σ- Transitions of AsH and AsD
Journal of Molecular Spectroscopy, 178 (2) :165-171
1996
Herausgeber: Academic Press

632.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a1Δ → X3Σ- transitions of PH and PD
Chemical Physics Letters, 249 (3-4) :183-190
1996

631.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a1Δ(a2) → X3Σ-(X21) Transitions of SbH and SbD
Journal of Molecular Spectroscopy, 179 (1) :79-84
1996
Herausgeber: Academic Press

630.

Beutel, M.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.
The a1Δ(a2) States of BiCl, BiBr, and BiI
Journal of Molecular Spectroscopy, 175 (1) :48-53
1996
Herausgeber: Academic Press

629.

Günther, Michael; Rentrop, Peter
The differential-algebraic index concept in electric circuit simulation
, Proceedings of the 3rd International Congress on Industrial and Applied MathematicsBand76, Seite 91–94
Herausgeber: Akademie Verlag Berlin
1996

628.


The differential-algebraic index concept in electric circuit simulation
Zeitschrift fur angewandte Mathematik und Mechanik, 76 (1) :91--94
1996

627.

Denk, Georg; Günther, Michael
The influence of MOSFET model and network equations on circuit simulation
Preprint (1842)
1996
Herausgeber: Technische Hochschule Darmstadt

626.

Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The potential energy surface of H\(_{2}\)\(^{16}\)O
Journal of Chemical Physics, 105 (15) :6490-6497
1996

625.

Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The potential energy surface of H\(_{2}\)\(^{16}\)O
Journal of Chemical Physics, 105 (15) :6490-6497
1996

624.

Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The potential energy surface of H216O
Journal of Chemical Physics, 105 (15) :6490-6497
1996

623.

Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The Potential Energy Surface of Hydrogen Sulfide
Journal of Molecular Spectroscopy, 178 (2) :184-188
1996
Herausgeber: Academic Press

622.

Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The Potential Energy Surface of Hydrogen Sulfide
Journal of Molecular Spectroscopy, 178 (2) :184-188
1996
Herausgeber: Academic Press

621.

Polyansky, Oleg L.; Jensen, Per; Tennyson, Jonathan
The Potential Energy Surface of Hydrogen Sulfide
Journal of Molecular Spectroscopy, 178 (2) :184-188
1996
Herausgeber: Academic Press

620.

Kozin, Igor N.; Jensen, Per; Polanz, Oliver; Klee, Stefan; Poteau, Laurent; Demaison, Jean
The Rotational Spectrum of H\(_{2}\)Te
Journal of Molecular Spectroscopy, 180 (2) :402-413
1996
Herausgeber: Academic Press

619.

Kozin, Igor N.; Jensen, Per; Polanz, Oliver; Klee, Stefan; Poteau, Laurent; Demaison, Jean
The Rotational Spectrum of H\(_{2}\)Te
Journal of Molecular Spectroscopy, 180 (2) :402-413
1996
Herausgeber: Academic Press

618.

Kozin, Igor N.; Jensen, Per; Polanz, Oliver; Klee, Stefan; Poteau, Laurent; Demaison, Jean
The Rotational Spectrum of H2Te
Journal of Molecular Spectroscopy, 180 (2) :402-413
1996
Herausgeber: Academic Press