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

1993

467.

Graf, J.; Jensen, Per
A Theoretical Model for the Rotation and Vibration of Symmetrical Triatomic Molecules with Strong Coupling Between the Local Stretching Modes
Journal of Molecular Spectroscopy, 159 (1) :175-191
1993
Herausgeber: Academic Press

DOI: 10.1006/JMSP.1993.1116

466.

Cespiva, Ladislav; Bonacic-Kouteck{{\'y}}, Vlasta; Kouteck{{\'y}}, Jaroslav; Jensen, Per; Hrouda, Vojtech; C{{\'a}}rsky, Petr; Spirko, Vladim{í}r; Hobza, Pavel
Ab initio Calculations of the Rotation-Vibration Spectrum of Na\(_{3}\)\(^{+}\)
Collection of Czechoslovak Chemical Communications, 58 (1) :24-28
1993
Herausgeber: Institute of Organic Chemistry and Biochemistry AS CR, v.v.i.

DOI: 10.1135/cccc19930024

465.

Cespiva, Ladislav; Bonacic-Kouteck{{\'y}}, Vlasta; Kouteck{{\'y}}, Jaroslav; Jensen, Per; Hrouda, Vojtech; C{{\'a}}rsky, Petr; Spirko, Vladim{í}r; Hobza, Pavel
Ab initio Calculations of the Rotation-Vibration Spectrum of Na\(_{3}\)\(^{+}\)
Collection of Czechoslovak Chemical Communications, 58 (1) :24-28
1993
Herausgeber: Institute of Organic Chemistry and Biochemistry AS CR, v.v.i.

DOI: 10.1135/cccc19930024

464.

Cespiva, Ladislav; Bonacic-Koutecký, Vlasta; Koutecký, Jaroslav; Jensen, Per; Hrouda, Vojtech; Cársky, Petr; Spirko, Vladimír; Hobza, Pavel
Ab initio Calculations of the Rotation-Vibration Spectrum of Na3+
Collection of Czechoslovak Chemical Communications, 58 (1) :24-28
1993
Herausgeber: Institute of Organic Chemistry and Biochemistry AS CR, v.v.i.

DOI: 10.1135/cccc19930024

463.

Bunker, Philip R.; Jensen, Per; Althorpe, Stuart C.; Clary, David C.
An ab initio Calculation of the Low Rotation-Vibration Energies of the CO Dimer
Journal of Molecular Spectroscopy, 157 (1) :208-219
1993
Herausgeber: Academic Press

DOI: 10.1006/JMSP.1993.1017

462.

Bunker, Philip R.; Jensen, Per; Althorpe, Stuart C.; Clary, David C.
An ab initio Calculation of the Low Rotation-Vibration Energies of the CO Dimer
Journal of Molecular Spectroscopy, 157 (1) :208-219
1993
Herausgeber: Academic Press

DOI: 10.1006/JMSP.1993.1017

461.

Bunker, Philip R.; Jensen, Per; Althorpe, Stuart C.; Clary, David C.
An ab initio Calculation of the Low Rotation-Vibration Energies of the CO Dimer
Journal of Molecular Spectroscopy, 157 (1) :208-219
1993
Herausgeber: Academic Press

DOI: 10.1006/JMSP.1993.1017

460.

Günther, Michael
Charge-oriented modelling of electric circuits and Rosenbrock-Wanner methods
Herausgeber: Mathematisches Institut und Institut für Informatik der Technischen~…
1993

459.

Tausch, Michael W.; Wachtendonk, M.; Deissenberger, H.; Porth, H.-R.; G. Weißenhorn, R.
CHEMIE S II STOFF-FORMEL-UMWELT, Lehrbuch für Grund- und Leistungskurse, 446 Seiten
Herausgeber: C. C. Buchner, Bamberg
1993

458.

Kozin, Igor N.; Jensen, Per
Fourfold Clusters of Rovibrational Energy Levels in the Fundamental Vibrational States of H\(_{2}\)Se
Journal of molecular spectroscopy, 161 (1) :186-207
1993
Herausgeber: Academic Press

DOI: 10.1006/jmsp.1993.1226

457.

Kozin, Igor N.; Jensen, Per
Fourfold Clusters of Rovibrational Energy Levels in the Fundamental Vibrational States of H\(_{2}\)Se
Journal of molecular spectroscopy, 161 (1) :186-207
1993
Herausgeber: Academic Press

DOI: 10.1006/jmsp.1993.1226

456.

Kozin, Igor N.; Jensen, Per
Fourfold Clusters of Rovibrational Energy Levels in the Fundamental Vibrational States of H2Se
Journal of molecular spectroscopy, 161 (1) :186-207
1993
Herausgeber: Academic Press

DOI: 10.1006/jmsp.1993.1226

455.

Tausch, Michael W.; Wachtendonk, M.; Deissenberger, H.; Porth, H.-R.; G. Weißenhorn, R.
Lehrerband mit didaktischen Hinweisen und Lösungen zu den Aufgaben zu CHEMIE S II STOFF-FORMEL-UMWELT, Lehrbuch für Grund- und Leistungskurse
Herausgeber: C. C. Buchner, Bamberg
1993

454.

G\"unther, Michael; Rentrop, P.
Multirate {ROW} methods and latency of electric circuits
Appl.~Numer.~Math., 13 :83--102
1993

453.

Günther, Michael; Rentrop, Peter
Multirate ROW methods and latency of electric circuits
Applied Numerical Mathematics, 13 (1) :83–102
1993
Herausgeber: Elsevier

DOI: 10.1016/0168-9274(93)90133-C

452.

Günther, Michael; Rentrop, Peter
Multirate ROW methods and latency of electric circuits
Applied Numerical Mathematics, 13 (1-3) :83--102
1993
Herausgeber: North-Holland

451.

Denk, G.; Günther, M.; Schmidt, W.
Olympische Chips: Schaltkreise - Spannung in der Numerik
1993

450.

Denk, G.; G\"unther, Michael; Schmidt, W.
Olympische Chips: Schaltkreise -- Spannung in der Numerik
Technische Universit\"at M\"unchen, TUM-Sonderreihe Forschung f\"ur Bayern, Heft 6: Fakult\"at f\"ur Mathematik, Fakult\"at f\"ur Informatik, Seite 14--15
1993

449.

[german] Tausch, Michael W.; Kolkowski, M.; Weilert, K.
Ozon - der andere Sauerstoff
Praxis der Naturwissenschaften (Chemie), 42 (1) :26
1993

448.

Günther, Michael; Rentrop, Peter
Partitioning and multirate strategies in latent electric circuits
1993

447.

Shestakov, Oleg; Demes, H.; Fink, Ewald H.
Radiative lifetimes of the A \(^{2}\)\(\Sigma\)\(_{1/2}\)\(^{+}\) and X\(_{2}\) \(^{2}\)\(\Pi\)\(_{3/2}\) states of lead monohalides
Chemical Physics, 178 (1-3) :561-567
1993

DOI: 10.1016/0301-0104(93)85092-M

446.

Shestakov, Oleg; Demes, H.; Fink, Ewald H.
Radiative lifetimes of the A \(^{2}\)\(\Sigma\)\(_{1/2}\)\(^{+}\) and X\(_{2}\) \(^{2}\)\(\Pi\)\(_{3/2}\) states of lead monohalides
Chemical Physics, 178 (1-3) :561-567
1993

DOI: 10.1016/0301-0104(93)85092-M

445.

Shestakov, Oleg; Demes, H.; Fink, Ewald H.
Radiative lifetimes of the A 2Σ1/2+ and X2 2Π3/2 states of lead monohalides
Chemical Physics, 178 (1-3) :561-567
1993

DOI: 10.1016/0301-0104(93)85092-M

444.

Janssen, H. H. J. M.; Maten, E. J. W.; Houwelingen, D.
Simulation of coupled electromagnetic and heat dissipation problems
, IEE, Colloquium on Coupling Electromagnetic to Other FieldsBand1993 / 117, Seite 3/1-3/3
Herausgeber: Institute of Electrical and Electronics Engineers ({IEEE})
Mai 1993

DOI: 10.1109/20.312651

443.

Schilders, W. H. A.; Maten, E. J. W.; Rusch, J. J.; Heynderickx, I. E. J.
Simulation of non-isothermal Couette flow of liquid crystalline polymers
In Taylor, C., Editor, Numerical methods in laminar and turbulent flowBand8(1), Seite 480-491
In Taylor, C., Editor
Herausgeber: Pineridge Press Lmt, Swansea, UK
1993