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



1982

41.

Jensen, Per; Bunker, Philip R.
The geometry and the out-of-plane bending potential function of thioformaldehyde in the A~1A2 and a~3A2 electronic states
Journal of Molecular Spectroscopy, 95 (1) :92-100
1982

40.

Jensen, Per; Brodersen, Svend
The ν5 Raman band of CH3CD3
Journal of Raman Spectroscopy, 12 (3) :295-299
1982

39.

Tausch, Michael W.; J. Plath, P.
Umlagerungen in (CH)₇⁺-Carbokationen
Revue Roumaine de Chimie, 27 :953
1982
1981

38.

Tausch, Michael W.
BINDUNG UND STRUKTUR - Unterrichtsbuch für die gymnasiale Oberstufe
Herausgeber: Schöningh, Paderborn
1981

37.

Jensen, Per; Brodersen, Svend; Guelachvili, Guy
Determination of A\(_{0}\) for CH\(_{3}\)\(^{35}\)Cl and CH\(_{3}\)\(^{37}\)Cl from the \(\nu\)\(_{4}\) infrared and Raman bands
Journal of Molecular Spectroscopy, 88 (2) :378-393
1981

36.

Jensen, Per; Brodersen, Svend; Guelachvili, Guy
Determination of A\(_{0}\) for CH\(_{3}\)\(^{35}\)Cl and CH\(_{3}\)\(^{37}\)Cl from the \(\nu\)\(_{4}\) infrared and Raman bands
Journal of Molecular Spectroscopy, 88 (2) :378-393
1981

35.

Jensen, Per; Brodersen, Svend; Guelachvili, Guy
Determination of A0 for CH335Cl and CH337Cl from the ν4 infrared and Raman bands
Journal of Molecular Spectroscopy, 88 (2) :378-393
1981

34.

Barnes, Ian; Bastian, V.; Becker, Karl Heinz; Fink, Ewald H.; Zabel, Friedhelm
Rate constant of the reaction of OH with HO\(_{2}\)NO\(_{2}\)
Chemical Physics Letters, 83 (3) :459-464
1981

33.

Barnes, Ian; Bastian, V.; Becker, Karl Heinz; Fink, Ewald H.; Zabel, Friedhelm
Rate constant of the reaction of OH with HO\(_{2}\)NO\(_{2}\)
Chemical Physics Letters, 83 (3) :459-464
1981

32.

Barnes, Ian; Bastian, V.; Becker, Karl Heinz; Fink, Ewald H.; Zabel, Friedhelm
Rate constant of the reaction of OH with HO2NO2
Chemical Physics Letters, 83 (3) :459-464
1981

31.

Tausch, Michael W.
THEORETISCHE UND EXPERIMENTELLE UNTERSUCHUNGEN VON VALENZISOMERISIERUNGEN
Herausgeber: Minerva Publikation, München
1981

30.

Tausch, Michael W.
Vorschlag für den Aufbau und die Bewertung einer Klausur zum Kurs ''Grundreaktionen in der organischen Chemie"
Praxis der Naturwissenschaften (Chemie), 30 :374
1981
1980

29.

Winter, R.; Barnes, Ian; Fink, Ewald H.; Wildt, J{ü}rgen; Zabel, Friedhelm
b\(^{1}\)\(\Sigma\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(^{-}\) Emissions of SeO, SeS, and Se\(_{2}\) in the near infrared
Chemical Physics Letters, 73 (2) :297-303
1980

28.

Winter, R.; Barnes, Ian; Fink, Ewald H.; Wildt, J{ü}rgen; Zabel, Friedhelm
b\(^{1}\)\(\Sigma\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(^{-}\) Emissions of SeO, SeS, and Se\(_{2}\) in the near infrared
Chemical Physics Letters, 73 (2) :297-303
1980

27.

Winter, R.; Barnes, Ian; Fink, Ewald H.; Wildt, Jürgen; Zabel, Friedhelm
b1Σ+ → X3Σ- Emissions of SeO, SeS, and Se2 in the near infrared
Chemical Physics Letters, 73 (2) :297-303
1980

26.

Kauppinen, Jyrki; Jensen, Per; Brodersen, Svend
Determination of the B\(_{0}\) constant of C\(_{6}\)H\(_{6}\)
Journal of Molecular Spectroscopy, 83 (1) :161-174
1980

25.

Kauppinen, Jyrki; Jensen, Per; Brodersen, Svend
Determination of the B\(_{0}\) constant of C\(_{6}\)H\(_{6}\)
Journal of Molecular Spectroscopy, 83 (1) :161-174
1980

24.

Kauppinen, Jyrki; Jensen, Per; Brodersen, Svend
Determination of the B0 constant of C6H6
Journal of Molecular Spectroscopy, 83 (1) :161-174
1980
1979

23.

Glaschick-Schimpf, I.; Leiss, A.; Monkhouse, Penelope B.; Schurath, Ulrich; Becker, Karl Heinz; Fink, Ewald H.
A kinetic study of the reactions of HO\(_{2}\)/DO\(_{2}\) radicals with nitric oxide using near-infrared chemiluminescence detection
Chemical Physics Letters, 67 (2-3) :318-323
1979

22.

Glaschick-Schimpf, I.; Leiss, A.; Monkhouse, Penelope B.; Schurath, Ulrich; Becker, Karl Heinz; Fink, Ewald H.
A kinetic study of the reactions of HO\(_{2}\)/DO\(_{2}\) radicals with nitric oxide using near-infrared chemiluminescence detection
Chemical Physics Letters, 67 (2-3) :318-323
1979

21.

Glaschick-Schimpf, I.; Leiss, A.; Monkhouse, Penelope B.; Schurath, Ulrich; Becker, Karl Heinz; Fink, Ewald H.
A kinetic study of the reactions of HO2/DO2 radicals with nitric oxide using near-infrared chemiluminescence detection
Chemical Physics Letters, 67 (2-3) :318-323
1979

20.

Tausch, Michael W.; C. Ha{ßs}, E.; J. Plath, P.
Beschreibung von Valenzisomerisierungen durch Strukturvariation auf vollständigen Graphen
Informal Communications in Mathematical Chemistry (MatCh), 7 :289
1979

19.

Barnes, Ian; Becker, Karl Heinz; Fink, Ewald H.
Chemiluminescence of SO(\(^{1}\)\(\Delta\)\(_{g}\),\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\)) sensitized by O\(_{2}\)(\(^{1}\)\(\Delta\)\(_{g}\))
Chemical Physics Letters, 67 (2-3) :310-313
1979

18.

Barnes, Ian; Becker, Karl Heinz; Fink, Ewald H.
Chemiluminescence of SO(\(^{1}\)\(\Delta\)\(_{g}\),\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\)) sensitized by O\(_{2}\)(\(^{1}\)\(\Delta\)\(_{g}\))
Chemical Physics Letters, 67 (2-3) :310-313
1979

17.

Barnes, Ian; Becker, Karl Heinz; Fink, Ewald H.
Chemiluminescence of SO(1Δg,1Σg+) sensitized by O2(1Δg)
Chemical Physics Letters, 67 (2-3) :310-313
1979