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



1986

178.

Maten, E. Jan W.; Sleijpen, Gerard L. G.
A convergence analysis of Hopscotch methods for fourth order parabolic equations
Numerische Mathematik, 49 (2-3) :275--290
März 1986
Herausgeber: Springer Science and Business Media {LLC}

177.

Jensen, Per; Spirko, Vladim{í}r
A new Morse-oscillator based Hamiltonian for H\(_{3}\)\(^{+}\): Calculation of line strengths
Journal of Molecular Spectroscopy, 118 (1) :208-231
1986

176.

Adams, Warren P; Sherali, Hanif D
A tight linearization and an algorithm for zero-one quadratic programming problems
Management Science, 32 (10) :1274--1290
1986
Herausgeber: INFORMS

175.

Jensen, Per; Spirko, Vladim{í}r
A new Morse-oscillator based Hamiltonian for H\(_{3}\)\(^{+}\): Calculation of line strengths
Journal of Molecular Spectroscopy, 118 (1) :208-231
1986

174.

Jensen, Per; Spirko, Vladim{í}r; Bunker, Philip R.
A new Morse-oscillator based Hamiltonian for H\(_{3}\)\(^{+}\): Extension to H\(_{2}\)D\(^{+}\) and D\(_{2}\)H\(^{+}\)
Journal of Molecular Spectroscopy, 115 (2) :269-293
1986

173.

Jensen, Per; Spirko, Vladimír; Bunker, Philip R.
A new Morse-oscillator based Hamiltonian for H3+: Extension to H2D+ and D2H+
Journal of Molecular Spectroscopy, 115 (2) :269-293
1986

172.

Jensen, Per; Spirko, Vladim{í}r; Bunker, Philip R.
A new Morse-oscillator based Hamiltonian for H\(_{3}\)\(^{+}\): Extension to H\(_{2}\)D\(^{+}\) and D\(_{2}\)H\(^{+}\)
Journal of Molecular Spectroscopy, 115 (2) :269-293
1986

171.

Vojt{í}k, Jan; Spirko, Vladim{í}r; Jensen, Per
Vibrational energies of H\(_{3}\)\(^{+}\) and Li\(_{3}\)\(^{+}\) based on the diatomics-in-molecules potentials
Collection of Czechoslovak Chemical Communications, 51 (10) :2057-2062
1986
Herausgeber: Institute of Organic Chemistry and Biochemistry AS CR, v.v.i.

170.

Fink, Ewald H.; Kruse, H.; Ramsay, D. A.
The high-resolution emission spectrum of S\(_{2}\) in the near infrared: The b\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) - X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\) system
Journal of Molecular Spectroscopy, 119 (2) :377-387
1986

169.

Jensen, Per; Winnewisser, Manfred
Prediction of higher inversion energy levels for isocyanamide H2NNC
Collection of Czechoslovak Chemical Communications, 51 (7) :1373-1381
1986
Herausgeber: Institute of Organic Chemistry and Biochemistry AS CR, v.v.i.

168.

Bielefeld, M.; Wildt, J{ü}rgen; Fink, Ewald H.
Rate constants of the near-resonant E-E energy exchange processes SeS(b0\(^{+}\)) + O\(_{2}\)(X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\)) ↔ SeS(X\(_{1}\)0\(^{+}\)) + O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))
Chemical Physics Letters, 126 (5) :421-426
1986

167.

Bielefeld, M.; Wildt, J{ü}rgen; Fink, Ewald H.
Rate constants of the near-resonant E-E energy exchange processes SeS(b0\(^{+}\)) + O\(_{2}\)(X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\)) ↔ SeS(X\(_{1}\)0\(^{+}\)) + O\(_{2}\)(a\(^{1}\)\(\Delta\)\(_{g}\))
Chemical Physics Letters, 126 (5) :421-426
1986

166.

Bielefeld, M.; Wildt, Jürgen; Fink, Ewald H.
Rate constants of the near-resonant E-E energy exchange processes SeS(b0+) + O2(X3Σg-) ↔ SeS(X10+) + O2(a1Δg)
Chemical Physics Letters, 126 (5) :421-426
1986

165.

Beardsworth, R.; Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.
Rotation-vibration energy levels of H\(_{2}\)O and C\(_{3}\) calculated using the nonrigid bender Hamiltonian
Journal of Molecular Spectroscopy, 118 (1) :50-63
1986

164.

Beardsworth, R.; Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.
Rotation-vibration energy levels of H\(_{2}\)O and C\(_{3}\) calculated using the nonrigid bender Hamiltonian
Journal of Molecular Spectroscopy, 118 (1) :50-63
1986

163.

Beardsworth, R.; Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.
Rotation-vibration energy levels of H2O and C3 calculated using the nonrigid bender Hamiltonian
Journal of Molecular Spectroscopy, 118 (1) :50-63
1986

162.

Tausch, Michael W.
Silberfreie Photographie und Photochromie
Praxis der Naturwissenschaften (Chemie), 35 :19
1986

161.

Maten, E. J. W.
Splitting methods for fourth order parabolic partial differential equations
Computing, 37 (4) :335--350
Dezember 1986
Herausgeber: Springer Science and Business Media {LLC}

160.

Vojt{í}k, Jan; Spirko, Vladim{í}r; Jensen, Per
Vibrational energies of H\(_{3}\)\(^{+}\) and Li\(_{3}\)\(^{+}\) based on the diatomics-in-molecules potentials
Collection of Czechoslovak Chemical Communications, 51 (10) :2057-2062
1986
Herausgeber: Institute of Organic Chemistry and Biochemistry AS CR, v.v.i.

159.

Jensen, Per; Winnewisser, Manfred
Prediction of higher inversion energy levels for isocyanamide H\(_{2}\)NNC
Collection of Czechoslovak Chemical Communications, 51 (7) :1373-1381
1986
Herausgeber: Institute of Organic Chemistry and Biochemistry AS CR, v.v.i.

158.

Fink, Ewald H.; Kruse, H.; Ramsay, D. A.
The high-resolution emission spectrum of S\(_{2}\) in the near infrared: The b\(^{1}\)\(\Sigma\)\(_{g}\)\(^{+}\) - X\(^{3}\)\(\Sigma\)\(_{g}\)\(^{-}\) system
Journal of Molecular Spectroscopy, 119 (2) :377-387
1986

157.

Fink, Ewald H.; Kruse, H.; Ramsay, D. A.
The high-resolution emission spectrum of S2 in the near infrared: The b1Σg+ - X3Σg- system
Journal of Molecular Spectroscopy, 119 (2) :377-387
1986

156.

Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.; Beardsworth, R.
The potential surface of X~3B1 methylene (CH2) and the singlet-triplet splitting
The Journal of Chemical Physics, 85 (7) :3724-3731
1986

155.

Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.; Beardsworth, R.
The potential surface of X\verb=~=\(^{3}\)B\(_{1}\) methylene (CH\(_{2}\)) and the singlet-triplet splitting
The Journal of Chemical Physics, 85 (7) :3724-3731
1986

154.

Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.; Beardsworth, R.
The potential surface of X\verb=~=\(^{3}\)B\(_{1}\) methylene (CH\(_{2}\)) and the singlet-triplet splitting
The Journal of Chemical Physics, 85 (7) :3724-3731
1986