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



1995

568.

Wiesen, Peter; Kleffmann, Jörg; Kurtenbach, Ralf; Becker, Karl Heinz
Mechanistic study of the heterogeneous conversion of NO\(_{2}\) into HONO and N\(_{2}\)O on acid surfaces
Faraday Discussions, 100 (2) :121-127
1995

567.

Wiesen, Peter; Kleffmann, Jörg; Kurtenbach, Ralf; Becker, Karl Heinz
Mechanistic study of the heterogeneous conversion of NO2 into HONO and N2O on acid surfaces
Faraday Discussions, 100 (2) :121-127
1995

566.

Denk, Georg; Feldmann, Uwe; Günther, Michael
Modeling and simulating charge sensitive MOS circuits
1995

565.

Bunker, Philip R.; Kolbuszewski, M.; Jensen, Per; Brumm, Martin; Anderson, M. A.; Barclay, W. L.; Ziurys, L. M.; Ni, Y.; Harris, David O.
New rovibrational data for MgOH and MgOD and the internuclear potential function of the ground electronic state
Chemical Physics Letters, 239 (4-6) :217-222
1995

564.

Bunker, Philip R.; Kolbuszewski, M.; Jensen, Per; Brumm, Martin; Anderson, M. A.; Barclay, W. L.; Ziurys, L. M.; Ni, Y.; Harris, David O.
New rovibrational data for MgOH and MgOD and the internuclear potential function of the ground electronic state
Chemical Physics Letters, 239 (4-6) :217-222
1995

563.

Bunker, Philip R.; Kolbuszewski, M.; Jensen, Per; Brumm, Martin; Anderson, M. A.; Barclay, W. L.; Ziurys, L. M.; Ni, Y.; Harris, David O.
New rovibrational data for MgOH and MgOD and the internuclear potential function of the ground electronic state
Chemical Physics Letters, 239 (4-6) :217-222
1995

562.

Günther, Michael; Simeon, Bernd
Praktikum Wissenschaftliches Rechnen auf dem HRZ-Vektorparallelrechner VPP
Preprint (1785)
1995
Herausgeber: Technische Hochschule Darmstadt

561.

Denk, Ceorg; Günther, Michael; Kahlert, Martin; Paffrath, Meinhard; Rentrop, Peter; Wever, Utz; Zheng, Q
Recent advances in electronic industry by numerical simulation
Preprint (1784)
1995
Herausgeber: Technische Hochschule Darmstadt

560.

Heilmann, Margareta
Saturation of linear combinations of Baskakov-Durrmeyer-type operators
Applicable Analysis, 59 (1-4) :93-107
1995

559.

Becker, Karl Heinz; Kurtenbach, Ralf; Schmidt, Frank; Wiesen, Peter
Temperature and pressure dependence of the NCO + C\(_{2}\)H\(_{2}\) reaction
Chemical Physics Letters, 235 (3-4) :230-234
1995

558.

Becker, Karl Heinz; Kurtenbach, Ralf; Schmidt, Frank; Wiesen, Peter
Temperature and pressure dependence of the NCO + C\(_{2}\)H\(_{2}\) reaction
Chemical Physics Letters, 235 (3-4) :230-234
1995

557.

Becker, Karl Heinz; Kurtenbach, Ralf; Schmidt, Frank; Wiesen, Peter
Temperature and pressure dependence of the NCO + C2H2 reaction
Chemical Physics Letters, 235 (3-4) :230-234
1995

556.

G\"unther, Michael; Feldmann, U.
The {DAE}-index in electric circuit simulation
Mathematics and Computers in Simulation, 39 :573--582
1995

555.

Günther, Michael; Feldmann, Uwe
The DAE-index in electric circuit simulation
Mathematics and Computers in Simulation, 39 (5) :573–582
1995
Herausgeber: Elsevier

554.

Günther, Michael; Feldmann, Uwe
The DAE-index in electric circuit simulation
Mathematics and Computers in Simulation, 39 (5-6) :573--582
1995
Herausgeber: North-Holland

553.

Shestakov, Oleg; Fink, Ewald H.
The Lowest Quartet States, a\(^{4}\)\(\Pi\) and b\(^{4}\)\(\Sigma\)\(^{-}\), of SbO
Journal of Molecular Spectroscopy, 172 (1) :215-224
1995
Herausgeber: Academic Press

552.

Shestakov, Oleg; Fink, Ewald H.
The Lowest Quartet States, a\(^{4}\)\(\Pi\) and b\(^{4}\)\(\Sigma\)\(^{-}\), of SbO
Journal of Molecular Spectroscopy, 172 (1) :215-224
1995
Herausgeber: Academic Press

551.

Shestakov, Oleg; Fink, Ewald H.
The Lowest Quartet States, a4Π and b4Σ-, of SbO
Journal of Molecular Spectroscopy, 172 (1) :215-224
1995
Herausgeber: Academic Press

550.

Kolbuszewski, M.; Bunker, Philip R.; Jensen, Per
The Potential Energy Function of CS\(_{2}\) Derived from Rovibrational Data
Journal of Molecular Spectroscopy, 170 (1) :158-165
1995
Herausgeber: Academic Press

549.

Kolbuszewski, M.; Bunker, Philip R.; Jensen, Per
The Potential Energy Function of CS\(_{2}\) Derived from Rovibrational Data
Journal of Molecular Spectroscopy, 170 (1) :158-165
1995
Herausgeber: Academic Press

548.

Kolbuszewski, M.; Bunker, Philip R.; Jensen, Per
The Potential Energy Function of CS2 Derived from Rovibrational Data
Journal of Molecular Spectroscopy, 170 (1) :158-165
1995
Herausgeber: Academic Press

547.

Denk, Georg; Feldmann, Uwe; Günther, Michael; Rentrop, Peter
Topics in electric circuit simulation
Preprint (1740)
1995
Herausgeber: Technische Hochschule Darmstadt

546.

Benter, Thorsten; Feldmann, Ch R.; Kirchner, Ulf; Schmidt, M.; Schmidt, Sven; Schindler, Ralph N.
UV/VIS-absorption Spectra of HOBr and CH\(_{3}\)OBr; Br(\(^{2}\)P\(_{3/2}\)) Atom Yields in the Photolysis of HOBr
Berichte der Bunsengesellschaft für physikalische Chemie, 99 (9) :1144-1147
1995

545.

Benter, Thorsten; Feldmann, Ch R.; Kirchner, Ulf; Schmidt, M.; Schmidt, Sven; Schindler, Ralph N.
UV/VIS-absorption Spectra of HOBr and CH\(_{3}\)OBr; Br(\(^{2}\)P\(_{3/2}\)) Atom Yields in the Photolysis of HOBr
Berichte der Bunsengesellschaft für physikalische Chemie, 99 (9) :1144-1147
1995

544.

Benter, Thorsten; Feldmann, Ch R.; Kirchner, Ulf; Schmidt, M.; Schmidt, Sven; Schindler, Ralph N.
UV/VIS-absorption Spectra of HOBr and CH3OBr; Br(2P3/2) Atom Yields in the Photolysis of HOBr
Berichte der Bunsengesellschaft für physikalische Chemie, 99 (9) :1144-1147
1995