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

1981

30.

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

DOI: 10.1016/0009-2614(81)85501-7

1980

29.

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

DOI: 10.1016/0022-2852(80)90318-5

28.

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

DOI: 10.1016/0022-2852(80)90318-5

27.

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

DOI: 10.1016/0009-2614(80)80376-9

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

DOI: 10.1016/0022-2852(80)90318-5

25.

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

DOI: 10.1016/0009-2614(80)80376-9

24.

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

DOI: 10.1016/0009-2614(80)80376-9

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

DOI: 10.1016/0009-2614(79)85170-2

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

DOI: 10.1016/0009-2614(79)85170-2

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

DOI: 10.1016/0009-2614(79)85170-2

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

DOI: 10.1016/0009-2614(79)85168-4

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

DOI: 10.1016/0009-2614(79)85168-4

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

DOI: 10.1016/0009-2614(79)85168-4

16.

Barnes, Ian; Becker, Karl Heinz; Fink, Ewald H.
Near-infrared emissions from the \(^{1}\)\(\Delta\)\(_{g}\) and \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) states of S\(_{2}\)
Chemical Physics Letters, 67 (2-3) :314-317
1979

DOI: 10.1016/0009-2614(79)85169-6

15.

Barnes, Ian; Becker, Karl Heinz; Fink, Ewald H.
Near-infrared emissions from the 1Δg and 1Σg+ states of S2
Chemical Physics Letters, 67 (2-3) :314-317
1979

DOI: 10.1016/0009-2614(79)85169-6

14.

Tausch, Michael W.
Vorschlag für den Aufbau und die Bewertung einer Klausur zum Kurs ''Bindung und Struktur''
Praxis der Naturwissenschaften (Chemie), 28 :304
1979

13.

Barnes, Ian; Becker, Karl Heinz; Fink, Ewald H.
Near-infrared emissions from the \(^{1}\)\(\Delta\)\(_{g}\) and \(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) states of S\(_{2}\)
Chemical Physics Letters, 67 (2-3) :314-317
1979

DOI: 10.1016/0009-2614(79)85169-6

1978

12.

Tausch, Michael W.; C. Hass, E.; J. Plath, P.
Eine graphentheoretische Bezugsstruktur für die Eigenwertsumme konjugierter Kohlenwasserstoffe
Bremer Briefe zur Chemie, 2 (30)
1978

11.

Leiss, A.; Schurath, Ulrich; Becker, Karl Heinz; Fink, Ewald H.
Revised quenching rate constants for metastable oxygen molecules O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))
Journal of Photochemistry, 8 (2) :211-214
1978

DOI: 10.1016/0047-2670(78)80021-5

10.

Leiss, A.; Schurath, Ulrich; Becker, Karl Heinz; Fink, Ewald H.
Revised quenching rate constants for metastable oxygen molecules O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))
Journal of Photochemistry, 8 (2) :211-214
1978

DOI: 10.1016/0047-2670(78)80021-5

9.

Leiss, A.; Schurath, Ulrich; Becker, Karl Heinz; Fink, Ewald H.
Revised quenching rate constants for metastable oxygen molecules O2(a1Δg)
Journal of Photochemistry, 8 (2) :211-214
1978

DOI: 10.1016/0047-2670(78)80021-5

1977

8.

[german] Tausch, Michael W.; Elian, Mihai; Bucur, Aurora; Cior{{\^a}}nescu, Ecaterina
Über das photochemische Verhalten von zwei Tribenzo-(CH)12-Valenzisomeren
Chemische Berichte, 110 (5) :1744-1747
1977
Herausgeber: Wiley

DOI: 10.1002/cber.19771100518

1974

7.

Mihail, R.; Tausch, Michael W.
Homogene Reaktionen in einem Rohrreaktor mit nicht-Newtonscher Strömung
The Chemical Engineering Journal, 7 (1) :53--60
1974
Herausgeber: Elsevier {BV}

DOI: 10.1016/0300-9467(74)80025-0

6.

Becker, Karl Heinz; Fink, Ewald H.; Langen, P.; Schurath, Ulrich
Near infrared emission bands of the HO\(_{2}\) radical
The Journal of Chemical Physics, 60 (11) :4623-4625
1974

DOI: 10.1063/1.1680950

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