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



2001

992.

Günther, Michael; Hoschek, Markus
ROW-type Integration Methods for Circuit Simulation Packages
:448-455
2001
Herausgeber: B.G. Teubner, Stuttgart

991.

Hecht, Dirk; Günther, Michael; Rienen, Ursula
Scientific Computing in Electrical Engineering: Proceedings
Herausgeber: Springer
2001

990.


Scientific Computing in Electrical Engineering: Proceedings of the 3rd International Workshop, 20-23 August 2000, Warnemünde, Germany
In Rienen, Ursula and Günther, Michael and Hecht, Dirk, Editor aus Lecture Notes in Computational Science and Engineering
Herausgeber: Springer Berlin Heidelberg
2001

ISBN: 978-3-540-42173-3

989.

Van Rienen, Ursula; Günther, Michael; Hecht, Dirk
Scientific Computing in Electrical Engineering: Proceedings of the 3rd International Workshop, August 20--23, 2000, Warnemünde, Germany
2001

988.

Rienen, Ursula van; Günther, Michael; Hecht, Dirk
Scientific computing in electrical engineering: proceedings of the 3rd International Workshop, August 20-23, 2000, Warnemünde, Germany
(No Title)
2001

987.


Scientific Computing in Electrical Engineering. Proceedings of the 3rd International Workshop, 20-23 August 2000, Warnem\"unde, Germany
In {van Rienen}, U. and G\"unther, M. and Hecht, D., Editor aus Lecture Notes in Computational Science and Engineering
Herausgeber: Springer-Verlag, Berlin
2001

986.

Tausch, Michael W.
Sclüsselexperimente - Kreuzungen, Brücken und Pässe im Chemieunterricht
Praxis der Naturwissenschaften - Chemie in der Schule, 50 (3) :1
2001

985.

McKeachie, J. Ryan; Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
Selective ultra-trace detection of NO and NO\(_{2}\) in complex gas mixtures using broad-bandwidth REMPI mass spectrometry
Analyst, 126 (8) :1221-1228
2001

984.

McKeachie, J. Ryan; Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
Selective ultra-trace detection of NO and NO\(_{2}\) in complex gas mixtures using broad-bandwidth REMPI mass spectrometry
Analyst, 126 (8) :1221-1228
2001

983.

McKeachie, J. Ryan; van der Veer, Wytze E.; Short, Luke Chandler; Garnica, R. M.; Appel, Matthew F.; Benter, Thorsten
Selective ultra-trace detection of NO and NO2 in complex gas mixtures using broad-bandwidth REMPI mass spectrometry
Analyst, 126 (8) :1221-1228
2001

982.

Bach, Thorsten; Kirsch, Stefan
Synthesis of 6-Substituted 4-Hydroxy-2-pyrones from Aldehydes by Addition of an Acetoacetate Equivalent, Dess-Martin Oxidation and Subsequent Cyclization
Synlett, 2001 (12) :1974–1976
2001
ISSN: 0936-5214, 1437-2096

981.

Jacob, Birgit; Partington, Jonathan R.
The Weiss conjecture on admissibility of observation operators for contraction semigroups
Integral Equations Operator Theory, 40 (2) :231--243
2001

980.

Bartel, Andreas; Günther, Michael
The developments in multirating for coupled systems
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, 81 (S3) :739–742
2001

979.

Bartel, A.; G\"unther, Michael
The developments in multirating for coupled systems
Z. f. Angew. Math. u. Mech., 81 (3) :S739--S742
2001

978.

Yurchenko, Sergey N.; Jensen, Per; Li, Yan; Buenker, Robert J.; Bunker, Philip R.
The near ultraviolet band system of singlet methylene
Journal of Molecular Spectroscopy, 208 (1) :136-143
2001

977.

Yurchenko, Sergey N.; Jensen, Per; Li, Yan; Buenker, Robert J.; Bunker, Philip R.
The near ultraviolet band system of singlet methylene
Journal of Molecular Spectroscopy, 208 (1) :136-143
2001

976.

Yurchenko, Sergey N.; Jensen, Per; Li, Yan; Buenker, Robert J.; Bunker, Philip R.
The near ultraviolet band system of singlet methylene
Journal of Molecular Spectroscopy, 208 (1) :136-143
2001

975.

Tausch, Michael W.; Wachtendonk, M.
UNTERRICHTSPRAXIS S II, Band 1 ''Protolysegleichgewichte''
Herausgeber: Aulis Verlag Deubner, Köln
2001

974.

Tausch, Michael W.; Woock, M.; Twellmann, M.
Vom Erdöl zum Kaugummi - ein Kontext und seine Facetten
Praxis der Naturwissenschaften - Chemie in der Schule, 50 (1) :11
2001

973.

[german] Bohrmann, Claudia; Twellmann, M.; Tausch, Michael W.
Vom galvanischen Element zur Solarzelle
Naturwissenschaften im Unterricht Chemie, 66 (6) :12–16
2001

972.

Jacob, Birgit
Zeros of Fredholm operator valued H^p-functions
Math. Nachr., 227 :81--97
2001
2000

971.

Günther, Michael
A joint DAE/PDE model for interconnected electrical networks
Mathematical and Computer Modelling of Dynamical Systems, 6 :114–128
2000
Herausgeber: Taylor & Francis

970.


A joint DAE/PDE model for interconnected electrical networks
Mathematical and Computer Modelling of Dynamical Systems, 6 (2) :114--128
2000
Herausgeber: Taylor \& Francis

969.

Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
A REMPI method for the ultrasensitive detection of NO and NO\(_{2}\) using atmospheric pressure laser ionization mass spectrometry
Analytical Chemistry, 72 (22) :5639-5646
2000

968.

Garnica, R. M.; Appel, Matthew F.; Eagan, L.; McKeachie, J. Ryan; Benter, Thorsten
A REMPI method for the ultrasensitive detection of NO and NO\(_{2}\) using atmospheric pressure laser ionization mass spectrometry
Analytical Chemistry, 72 (22) :5639-5646
2000