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



1991

342.

Jensen, Per; Oddershede, Jens; Sabin, John R.
Geometric dependence of the mean excitation energy and spectral moments of water
Physical Review A, 43 (7) :4040-4043
1991

341.

Jensen, Per; Oddershede, Jens; Sabin, John R.
Geometric dependence of the mean excitation energy and spectral moments of water
Physical Review A, 43 (7) :4040-4043
1991

340.

Jensen, Per; Oddershede, Jens; Sabin, John R.
Geometric dependence of the mean excitation energy and spectral moments of water
Physical Review A, 43 (7) :4040-4043
1991

339.

Becker, Karl Heinz; Geiger, Harald; Wiesen, Peter
Kinetic study of the OH radical chain in the reaction system OH + C\(_{2}\)H\(_{4}\) + NO + air
Chemical Physics Letters, 184 (4) :256-261
1991

338.

Becker, Karl Heinz; Geiger, Harald; Wiesen, Peter
Kinetic study of the OH radical chain in the reaction system OH + C\(_{2}\)H\(_{4}\) + NO + air
Chemical Physics Letters, 184 (4) :256-261
1991

337.

Becker, Karl Heinz; Geiger, Harald; Wiesen, Peter
Kinetic study of the OH radical chain in the reaction system OH + C2H4 + NO + air
Chemical Physics Letters, 184 (4) :256-261
1991

336.

Wildt, J{ü}rgen; Bednarek, G.; Fink, Ewald H.; Wayne, Richard P.
Laser excitation of the A\(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\), A'\(^{3}\)\(\Delta\)\(_{u}\) and c\(^{1}\)\(\Sigma\)\(_{u}\)\(^{-}\) states of molecular oxygen
Chemical Physics, 156 (3) :497-508
1991

335.

Wildt, J{ü}rgen; Bednarek, G.; Fink, Ewald H.; Wayne, Richard P.
Laser excitation of the A\(^{3}\)\(\Sigma\)\(_{u}\)\(^{+}\), A'\(^{3}\)\(\Delta\)\(_{u}\) and c\(^{1}\)\(\Sigma\)\(_{u}\)\(^{-}\) states of molecular oxygen
Chemical Physics, 156 (3) :497-508
1991

334.

Wildt, Jürgen; Bednarek, G.; Fink, Ewald H.; Wayne, Richard P.
Laser excitation of the A3Σu+, A'3Δu and c1Σu- states of molecular oxygen
Chemical Physics, 156 (3) :497-508
1991

333.

Tausch, Michael W.
Legende oder nicht Legende?
Praxis der Naturwissenschaften (Chemie), 40 :44
1991

332.

Benter, Thorsten; Becker, Eilhard; Wille, Uta; Schindler, Ralph N.; Canosa-Mas, Carlos E.; Smith, Stuart J.; Waygood, Steven J.; Wayne, Richard P.
Nitrate radical reactions: interactions with alkynes
Journal of the Chemical Society, Faraday Transactions, 87 (14) :2141
1991

331.

Benter, Thorsten; Becker, Eilhard; Wille, Uta; Schindler, Ralph N.; Canosa-Mas, Carlos E.; Smith, Stuart J.; Waygood, Steven J.; Wayne, Richard P.
Nitrate radical reactions: interactions with alkynes
Journal of the Chemical Society, Faraday Transactions, 87 (14) :2141
1991

330.

Benter, Thorsten; Becker, Eilhard; Wille, Uta; Schindler, Ralph N.; Canosa-Mas, Carlos E.; Smith, Stuart J.; Waygood, Steven J.; Wayne, Richard P.
Nitrate radical reactions: interactions with alkynes
Journal of the Chemical Society, Faraday Transactions, 87 (14) :2141
1991

329.

[german] Tausch, Michael W.
Photochemie - aktuelle Bedeutung und Möglichkeiten der Integration in den Chemieunterricht
Praxis der Naturwissenschaften (Chemie), 40 (4) :2
1991

328.

Becker, Karl Heinz; Kurtenbach, Ralf; Wiesen, Peter
Temperature and pressure dependence of the reaction methylidyne radical + hydrogen
The Journal of Physical Chemistry, 95 (6) :2390-2394
1991

327.

Becker, Karl Heinz; Kurtenbach, Ralf; Wiesen, Peter
Temperature and pressure dependence of the reaction methylidyne radical + hydrogen
The Journal of Physical Chemistry, 95 (6) :2390-2394
1991

326.

Becker, Karl Heinz; Kurtenbach, Ralf; Wiesen, Peter
Temperature and pressure dependence of the reaction methylidyne radical + hydrogen
The Journal of Physical Chemistry, 95 (6) :2390-2394
1991

325.

Bunker, Philip R.; Jensen, Per; Karpfen, Alfred
The \(\nu\)\(_{1}\) + \(\nu\)\(_{2}\) = 4 stretching overtones of the HF dimer, and H-atom exchange
Journal of Molecular Spectroscopy, 149 (2) :512-518
1991

324.

Bunker, Philip R.; Jensen, Per; Karpfen, Alfred
The \(\nu\)\(_{1}\) + \(\nu\)\(_{2}\) = 4 stretching overtones of the HF dimer, and H-atom exchange
Journal of Molecular Spectroscopy, 149 (2) :512-518
1991

323.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
The X\(_{2}\)\(^{2}\)\(\Pi\)\(_{1/2}\) → X\(_{1}\)\(^{2}\)\(\Pi\)\(_{3/2}\) electronic transitions of tellurium monohalides in the near infrared
Chemical Physics Letters, 177 (3) :265-268
1991

322.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
The X\(_{2}\)\(^{2}\)\(\Pi\)\(_{1/2}\) → X\(_{1}\)\(^{2}\)\(\Pi\)\(_{3/2}\) electronic transitions of tellurium monohalides in the near infrared
Chemical Physics Letters, 177 (3) :265-268
1991

321.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
The X\(_{2}\)1 → X\(_{1}\)0\(^{+}\) electronic band systems of bismuth monohalides in the near infrared
Chemical Physics Letters, 179 (1-2) :95-102
1991

320.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
The X\(_{2}\)1 → X\(_{1}\)0\(^{+}\) electronic band systems of bismuth monohalides in the near infrared
Chemical Physics Letters, 179 (1-2) :95-102
1991

319.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
The X22Π1/2 → X12Π3/2 electronic transitions of tellurium monohalides in the near infrared
Chemical Physics Letters, 177 (3) :265-268
1991

318.

Fink, Ewald H.; Setzer, Klaus-Dieter; Ramsay, D. A.; Vervloet, M.
The X21 → X10+ electronic band systems of bismuth monohalides in the near infrared
Chemical Physics Letters, 179 (1-2) :95-102
1991