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



2000

960.

Jensen, Per
An introduction to the theory of local mode vibrations
Molecular Physics, 98 (17) :1253-1285
2000

959.

Jensen, Per
An introduction to the theory of local mode vibrations
Molecular Physics, 98 (17) :1253-1285
2000

958.

Jensen, Per
An introduction to the theory of local mode vibrations
Molecular Physics, 98 (17) :1253-1285
2000

957.

Günther, Michael; Feldmann, Uwe
CAD based electric circuit modeling in industry. part I: Mathematical structure and index of network equations
2000

956.

Becker, Karl Heinz; L{ö}rzer, Jutta C.; Kurtenbach, Ralf; Wiesen, Peter; Jensen, T. E.; Wallington, T. J.
Contribution of vehicle exhaust to the global N\(_{2}\)O budget
Chemosphere - Global Change Science, 2 (3-4) :387-395
2000

955.

Becker, Karl Heinz; L{ö}rzer, Jutta C.; Kurtenbach, Ralf; Wiesen, Peter; Jensen, T. E.; Wallington, T. J.
Contribution of vehicle exhaust to the global N\(_{2}\)O budget
Chemosphere - Global Change Science, 2 (3-4) :387-395
2000

954.

Becker, Karl Heinz; Lörzer, Jutta C.; Kurtenbach, Ralf; Wiesen, Peter; Jensen, T. E.; Wallington, T. J.
Contribution of vehicle exhaust to the global N2O budget
Chemosphere - Global Change Science, 2 (3-4) :387-395
2000

953.

Jacob, Birgit
Corrections to: ``A sufficient condition for exact observability of spectral systems" [Kyungpook Math. J. \bf 35 (1996), no. 3, Special Issue, 427--434; MR1677625 (2000a:93019)] by S. K. Chang and S. M. Hwang
Kyungpook Math. J., 40 (2) :323--325
2000

952.

Osmann, Gerald; Bunker, Philip R.; Kraemer, Wolfgang P.; Jensen, Per
Coulomb explosion imaging: The CH\(_{2}\)\(^{+}\), H\(_{2}\)O\(^{+}\) and NH\(_{2}\)\(^{+}\) ions as benchmarks
Chemical Physics Letters, 318 (6) :597-606
2000

951.

Osmann, Gerald; Bunker, Philip R.; Kraemer, Wolfgang P.; Jensen, Per
Coulomb explosion imaging: The CH\(_{2}\)\(^{+}\), H\(_{2}\)O\(^{+}\) and NH\(_{2}\)\(^{+}\) ions as benchmarks
Chemical Physics Letters, 318 (6) :597-606
2000

950.

Osmann, Gerald; Bunker, Philip R.; Kraemer, Wolfgang P.; Jensen, Per
Coulomb explosion imaging: The CH2+, H2O+ and NH2+ ions as benchmarks
Chemical Physics Letters, 318 (6) :597-606
2000

949.

[german] Tausch, Michael W.; Korn, S.
Der Kohlenstoff-Kreislauf bei der Photosynthese und Atmung als Modellexperiment - Gekoppelte Reaktionszyklen
Praxis der Naturwissenschaften - Chemie in der Schule, 49 (7) :29
2000

948.

Tausch, Michael W.
Didaktische Integration - die Versöhnung von Fachsystematik und Alltagsbezug
Chemie in der Schule, 47 (3) :179
2000

947.

Günther, M.; Hoschek, M.; Rentrop, P.
Differential-algebraic equations in electric circuit simulation
International Journal of Electronics and Communication (AEÜ), 54 (2) :101–107
2000
Herausgeber: Elsevier

946.

Klamroth, Kathrin; Wiecek, Margaret M.
Dynamic programming approaches to the multiple criteria knapsack problem
Naval Research Logistics, 47 :57-76
2000

945.

[german] Tausch, Michael W.; Mascia, M.
Ein historisches Experiment 200 Jahre danach: Die Entdeckung der UV-Strahlen durch J. W. Ritter
Naturwissenschaften im Unterricht (Chemie), 57 (17) :117
2000

944.

Setzer, Klaus-Dieter; Uibel, C.; Zyrnicki, W.; Pravilov, A. M.; Fink, Ewald H.; Liebermann, Heinz-Peter; Alekseyev, Aleksey B.; Buenker, Robert J.
Experimental and Theoretical Study of the Electronic States and Spectra of BiNa
Journal of Molecular Spectroscopy, 204 (2) :163-175
2000
Herausgeber: Academic Press

943.

Setzer, Klaus-Dieter; Uibel, C.; Zyrnicki, W.; Pravilov, A. M.; Fink, Ewald H.; Liebermann, Heinz-Peter; Alekseyev, Aleksey B.; Buenker, Robert J.
Experimental and Theoretical Study of the Electronic States and Spectra of BiNa
Journal of Molecular Spectroscopy, 204 (2) :163-175
2000
Herausgeber: Academic Press

942.

Setzer, Klaus-Dieter; Uibel, C.; Zyrnicki, W.; Pravilov, A. M.; Fink, Ewald H.; Liebermann, Heinz-Peter; Alekseyev, Aleksey B.; Buenker, Robert J.
Experimental and Theoretical Study of the Electronic States and Spectra of BiNa
Journal of Molecular Spectroscopy, 204 (2) :163-175
2000
Herausgeber: Academic Press

941.

Bartel, A.
Generalised Multirate — Two {ROW}-type Versions for Circuit simulation
Unclas- sified NatLab Report No. 2000/804
Herausgeber: Philips Electronics
2000

940.

Bartel, A
Generalised multirate: Two {ROW}-type versions for circuit simulation
Unclassified NatLab Report, Eindhoven, 804 :2000
2000

939.

Jacob, Birgit; Partington, Jonathan R.
Graphs, closability, and causality of linear time-invariant discrete-time systems
Internat. J. Control, 73 (11) :1051--1060
2000

938.

Becker, Karl Heinz; Donner, Birgit; Freitas Dinis, Carlos M.; Geiger, Harald; Schmidt, Frank; Wiesen, Peter
Kinetics of the C\(_{2}\)(a\(^{3}\)\(\Pi\)\(_{u}\)) Radical Reacting with Selected Molecules and Atoms
Zeitschrift für Physikalische Chemie, 214 (4) :503
2000
Herausgeber: De Gruyter Oldenbourg

937.

Becker, Karl Heinz; Donner, Birgit; Freitas Dinis, Carlos M.; Geiger, Harald; Schmidt, Frank; Wiesen, Peter
Kinetics of the C\(_{2}\)(a\(^{3}\)\(\Pi\)\(_{u}\)) Radical Reacting with Selected Molecules and Atoms
Zeitschrift für Physikalische Chemie, 214 (4) :503
2000
Herausgeber: De Gruyter Oldenbourg

936.

Becker, Karl Heinz; Donner, Birgit; Freitas Dinis, Carlos M.; Geiger, Harald; Schmidt, Frank; Wiesen, Peter
Kinetics of the C2(a3Πu) Radical Reacting with Selected Molecules and Atoms
Zeitschrift für Physikalische Chemie, 214 (4) :503
2000
Herausgeber: De Gruyter Oldenbourg