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



1994

493.

Auwera, J. Vander; Holland, J. K.; Jensen, Per; Johns, John W. C.
The \(\nu\)\(_{6}\) band system of C\(_{3}\)O\(_{2}\) near 540 cm\(^{-1}\)
Journal of Molecular Spectroscopy, 163 (2) :529-540
1994
Herausgeber: Academic Press

492.

Auwera, J. Vander; Holland, J. K.; Jensen, Per; Johns, John W. C.
The \(\nu\)\(_{6}\) band system of C\(_{3}\)O\(_{2}\) near 540 cm\(^{-1}\)
Journal of Molecular Spectroscopy, 163 (2) :529-540
1994
Herausgeber: Academic Press

491.

Breidohr, R.; Shestakov, Oleg; Fink, Ewald H.
The a \(^{3}\)\(\Sigma\)\(^{+}\) (a\(_{1}\) 1) → X \(^{1}\)\(\Sigma\)\(^{+}\) (X 0\(^{+}\)) Transitions of BiP, BiAs, and BiSb
Journal of Molecular Spectroscopy, 168 (1) :126-135
1994
Herausgeber: Academic Press

490.

Breidohr, R.; Shestakov, Oleg; Fink, Ewald H.
The a \(^{3}\)\(\Sigma\)\(^{+}\) (a\(_{1}\) 1) → X \(^{1}\)\(\Sigma\)\(^{+}\) (X 0\(^{+}\)) Transitions of BiP, BiAs, and BiSb
Journal of Molecular Spectroscopy, 168 (1) :126-135
1994
Herausgeber: Academic Press

489.

Breidohr, R.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.; Zyrnicki, W.
The a \(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\) (a\(_{1}\) 1\(_{u}\)) → X \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) (X 0\(_{g}\)\(^{+}\)) Transition of Bi\(_{2}\)
Journal of Molecular Spectroscopy, 166 (2) :251-263
1994
Herausgeber: Academic Press

488.

Breidohr, R.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.; Zyrnicki, W.
The a \(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\) (a\(_{1}\) 1\(_{u}\)) → X \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) (X 0\(_{g}\)\(^{+}\)) Transition of Bi\(_{2}\)
Journal of Molecular Spectroscopy, 166 (2) :251-263
1994
Herausgeber: Academic Press

487.

Breidohr, R.; Shestakov, Oleg; Fink, Ewald H.
The a \(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\)(a\(_{1}\) 1\(_{u}\)) → X \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) (X 0\(_{g}\)\(^{+}\)) transition of Sb\(_{2}\)
Chemical Physics Letters, 218 (1-2) :13-16
1994

486.

Breidohr, R.; Shestakov, Oleg; Fink, Ewald H.
The a \(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\)(a\(_{1}\) 1\(_{u}\)) → X \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) (X 0\(_{g}\)\(^{+}\)) transition of Sb\(_{2}\)
Chemical Physics Letters, 218 (1-2) :13-16
1994

485.

Breidohr, R.; Setzer, Klaus-Dieter; Shestakov, Oleg; Fink, Ewald H.; Zyrnicki, W.
The a 3Σu+ (a1 1u) → X 1Σg+ (X 0g+) Transition of Bi2
Journal of Molecular Spectroscopy, 166 (2) :251-263
1994
Herausgeber: Academic Press

484.

Breidohr, R.; Shestakov, Oleg; Fink, Ewald H.
The a 3Σu+(a1 1u) → X 1Σg+ (X 0g+) transition of Sb2
Chemical Physics Letters, 218 (1-2) :13-16
1994

483.

Breidohr, R.; Shestakov, Oleg; Fink, Ewald H.
The a 3Σ+ (a1 1) → X 1Σ+ (X 0+) Transitions of BiP, BiAs, and BiSb
Journal of Molecular Spectroscopy, 168 (1) :126-135
1994
Herausgeber: Academic Press

482.

Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)(a2) state of BiF
Chemical Physics Letters, 229 (3) :273-278
1994

481.

Shestakov, Oleg; Fink, Ewald H.
The a\(^{1}\)\(\Delta\)(a2) state of BiF
Chemical Physics Letters, 229 (3) :273-278
1994

480.

Shestakov, Oleg; Fink, Ewald H.
The a1Δ(a2) state of BiF
Chemical Physics Letters, 229 (3) :273-278
1994

479.

Tashkun, Sergey A.; Jensen, Per
The low-energy part of the potential function for the electronic ground state of NO\(_{2}\) derived from experiment
Journal of Molecular Spectroscopy, 165 (1) :173-184
1994
Herausgeber: Academic Press

478.

Tashkun, Sergey A.; Jensen, Per
The low-energy part of the potential function for the electronic ground state of NO\(_{2}\) derived from experiment
Journal of Molecular Spectroscopy, 165 (1) :173-184
1994
Herausgeber: Academic Press

477.

Tashkun, Sergey A.; Jensen, Per
The low-energy part of the potential function for the electronic ground state of NO2 derived from experiment
Journal of Molecular Spectroscopy, 165 (1) :173-184
1994
Herausgeber: Academic Press

476.

Jensen, Per; Bunker, Philip R.
The Molecular Symmetry Group for Molecules in High Angular Momentum States
Journal of Molecular Spectroscopy, 164 (1) :315-317
1994
Herausgeber: Academic Press

475.

Jensen, Per; Bunker, Philip R.
The Molecular Symmetry Group for Molecules in High Angular Momentum States
Journal of Molecular Spectroscopy, 164 (1) :315-317
1994
Herausgeber: Academic Press

474.

Jensen, Per; Bunker, Philip R.
The Molecular Symmetry Group for Molecules in High Angular Momentum States
Journal of Molecular Spectroscopy, 164 (1) :315-317
1994
Herausgeber: Academic Press

473.

Bednarek, G.; Wayne, R.P.; Wildt, J{ü}rgen; Fink, E.H.
The yield of O\(_{2}\)(b \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\), v=0) produced by quenching of O\(_{2}\)(A \(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\), v=8) by O\(_{2}\)
Chemical Physics, 185 (2) :251-261
1994

472.

Bednarek, G.; Wayne, R.P.; Wildt, J{ü}rgen; Fink, E.H.
The yield of O\(_{2}\)(b \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\), v=0) produced by quenching of O\(_{2}\)(A \(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\), v=8) by O\(_{2}\)
Chemical Physics, 185 (2) :251-261
1994

471.

Bednarek, G.; Wayne, R.P.; Wildt, Jürgen; Fink, E.H.
The yield of O2(b 1Σg+, v=0) produced by quenching of O2(A 3Σu+, v=8) by O2
Chemical Physics, 185 (2) :251-261
1994

470.

Auwera, J. Vander; Holland, J. K.; Jensen, Per; Johns, John W. C.
The ν6 band system of C3O2 near 540 cm-1
Journal of Molecular Spectroscopy, 163 (2) :529-540
1994
Herausgeber: Academic Press
1993

469.

Janssen, H. H. J. M.; Maten, E. J. W.; Houwelingen, D.
Simulation of coupled electromagnetic and heat dissipation problems
, IEE, Colloquium on Coupling Electromagnetic to Other FieldsBand1993 / 117, Seite 3/1-3/3
Herausgeber: Institute of Electrical and Electronics Engineers ({IEEE})
Mai 1993