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



1984

116.

Winter, R.; Kruse, H.; Fink, Ewald H.; Wildt, Jürgen; Zabel, Friedhelm
b1Σ+ Emissions from group V-VII diatomic molecules. b0+ → X10+, X21 emissions of AsI and SbI
Chemical Physics Letters, 104 (4) :383-388
1984

115.

Jensen, Per
C\(_{3}\)O\(_{2}\) as a semirigid bender: The degenerate \(\nu\)\(_{5}\) state
Journal of Molecular Spectroscopy, 104 (1) :59-71
1984

114.

Jensen, Per
C\(_{3}\)O\(_{2}\) as a semirigid bender: The degenerate \(\nu\)\(_{5}\) state
Journal of Molecular Spectroscopy, 104 (1) :59-71
1984

113.

Jensen, Per
C3O2 as a semirigid bender: The degenerate ν5 state
Journal of Molecular Spectroscopy, 104 (1) :59-71
1984

112.

Kreglewski, Marek; Jensen, Per
Determination of the skeletal bending potential function for SiH\(_{3}\)NCO from the microwave spectrum
Journal of Molecular Spectroscopy, 103 (2) :312-320
1984

111.

Kreglewski, Marek; Jensen, Per
Determination of the skeletal bending potential function for SiH\(_{3}\)NCO from the microwave spectrum
Journal of Molecular Spectroscopy, 103 (2) :312-320
1984

110.

Kreglewski, Marek; Jensen, Per
Determination of the skeletal bending potential function for SiH3NCO from the microwave spectrum
Journal of Molecular Spectroscopy, 103 (2) :312-320
1984

109.

Glöckner, W.; Tausch, Michael W.; Autorenteam
MATERIALIEN FÜR DER KURSUNTERRICHT CHEMIE, Aufgabensammlung mit Klausur- und Abituraufgaben aus allen Bereichen der Schulchemie, 3 Bände
Herausgeber: Aulis Deubner\&Co KG, Köln
1984

108.

Winkler, R.
Numerische Behandlung von parameterabhängigen Zwei-Punkt-Randwertaufgaben unter Berücksichtigung von Verzweigungsproblemen
Humboldt-Universität zu Berlin
1984

107.

Bielefeld, M.; Elfers, G.; Fink, Ewald H.; Kruse, H.; Wildt, J{ü}rgen; Winter, R.; Zabel, Friedhelm
O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))-sensitized chemiluminescence of a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) and b\(^{1}\)\(\Sigma\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(^{-}\) transitions of group VI-group VI and group V-group VII diatomic molecules
Journal of Photochemistry, 25 (2-4) :419-438
1984

106.

Bielefeld, M.; Elfers, G.; Fink, Ewald H.; Kruse, H.; Wildt, J{ü}rgen; Winter, R.; Zabel, Friedhelm
O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))-sensitized chemiluminescence of a\(^{1}\)\(\Delta\) → X\(^{3}\)\(\Sigma\)\(^{-}\) and b\(^{1}\)\(\Sigma\)\(^{+}\) → X\(^{3}\)\(\Sigma\)\(^{-}\) transitions of group VI-group VI and group V-group VII diatomic molecules
Journal of Photochemistry, 25 (2-4) :419-438
1984

105.

Bielefeld, M.; Elfers, G.; Fink, Ewald H.; Kruse, H.; Wildt, Jürgen; Winter, R.; Zabel, Friedhelm
O2(a1Δg)-sensitized chemiluminescence of a1Δ → X3Σ- and b1Σ+ → X3Σ- transitions of group VI-group VI and group V-group VII diatomic molecules
Journal of Photochemistry, 25 (2-4) :419-438
1984

104.

Maten, E. J. W.
Stability analysis of finite difference methods for fourth order parabolic partial differential equations
Rijksuniversiteit Utrecht
1984

103.

Becker, Karl Heinz; Horie, O.; Wiesen, Peter
The formation of CH radicals during the photolysis of CH\(_{2}\)N\(_{2}\) in the presence of hydrogen and oxygen atoms
Journal of Photochemistry, 24 (3) :293-297
1984

102.

Becker, Karl Heinz; Horie, O.; Wiesen, Peter
The formation of CH radicals during the photolysis of CH\(_{2}\)N\(_{2}\) in the presence of hydrogen and oxygen atoms
Journal of Photochemistry, 24 (3) :293-297
1984

101.

Becker, Karl Heinz; Horie, O.; Wiesen, Peter
The formation of CH radicals during the photolysis of CH2N2 in the presence of hydrogen and oxygen atoms
Journal of Photochemistry, 24 (3) :293-297
1984
1983

100.

Bunker, Philip R.; Jensen, Per
A refined potential surface for the X\verb=~=\(^{3}\)B\(_{1}\) electronic state of methylene CH\(_{2}\)
The Journal of Chemical Physics, 79 (3) :1224-1228
1983

99.

Bunker, Philip R.; Jensen, Per
A refined potential surface for the X\verb=~=\(^{3}\)B\(_{1}\) electronic state of methylene CH\(_{2}\)
The Journal of Chemical Physics, 79 (3) :1224-1228
1983

98.

Bunker, Philip R.; Jensen, Per
A refined potential surface for the X~3B1 electronic state of methylene CH2
The Journal of Chemical Physics, 79 (3) :1224-1228
1983

97.

Winter, R.; Fink, Ewald H.; Wildt, J{ü}rgen; Zabel, Friedhelm
b\(^{1}\)\(\Sigma\)\(^{+}\) and a\(^{1}\)\(\Delta\) emissions from group VI-VI diatomic molecules: b0\(^{+}\) → X\(_{1}\)0\(^{+}\), X\(_{2}\)1 emissions of TeSe
Chemical Physics Letters, 94 (3) :335-338
1983

96.

Winter, R.; Fink, Ewald H.; Wildt, J{ü}rgen; Zabel, Friedhelm
b\(^{1}\)\(\Sigma\)\(^{+}\) and a\(^{1}\)\(\Delta\) emissions from group VI-VI diatomic molecules: b0\(^{+}\) → X\(_{1}\)0\(^{+}\), X\(_{2}\)1 emissions of TeSe
Chemical Physics Letters, 94 (3) :335-338
1983

95.

Winter, R.; Kruse, H.; Fink, Ewald H.; Wildt, J{ü}rgen
b\(^{1}\)\(\Sigma\)\(^{+}\) Emissions from group V-VII diatomic molecules: b0\(^{+}\) → X\(_{1}\)0\(^{+}\) emission of Pl
Chemical Physics Letters, 102 (5) :404-408
1983

94.

Winter, R.; Kruse, H.; Fink, Ewald H.; Wildt, J{ü}rgen
b\(^{1}\)\(\Sigma\)\(^{+}\) Emissions from group V-VII diatomic molecules: b0\(^{+}\) → X\(_{1}\)0\(^{+}\) emission of Pl
Chemical Physics Letters, 102 (5) :404-408
1983

93.

Winter, R.; Fink, Ewald H.; Wildt, Jürgen; Zabel, Friedhelm
b1Σ+ and a1Δ emissions from group VI-VI diatomic molecules: b0+ → X10+, X21 emissions of TeSe
Chemical Physics Letters, 94 (3) :335-338
1983

92.

Winter, R.; Kruse, H.; Fink, Ewald H.; Wildt, Jürgen
b1Σ+ Emissions from group V-VII diatomic molecules: b0+ → X10+ emission of Pl
Chemical Physics Letters, 102 (5) :404-408
1983