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

1031.

Günther, Michael
Partielle differential-algebraische Systeme in der numerischen Zeitbereichsanalyse elektrischer Schaltungen
VDI-Verlag
2001

1030.


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

1029.

Günther, Michael
Modelling transmission lines effects in integrated circuits by a mixed system of DAEs and PDEs
2001

1028.


A PDAE model for interconnected linear RLC networks
Mathematical and Computer Modelling of Dynamical Systems, 7 (2) :189--203
2001
Herausgeber: Taylor \& Francis

1027.

G\"unther, Michael; Kv{\ae}rno, A.; Rentrop, P.
Multirate Partitioned {Runge-Kutta} Methods
BIT, 41 (3) :504--515
2001

1026.

G\"unther, Michael; Hoschek, M.; Weiner, R.
ROW methods adapted to a cheap Jacobian}
APNUM, 37 :231-240
2001

1025.

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

1024.

Arnold, Martin; Günther, Michael
Preconditioned dynamic iteration for coupled differential-algebraic systems
BIT Numerical Mathematics, 41 (41) :1--25
2001
Herausgeber: Kluwer Academic Publishers

1023.

Günther, Michael; Wagner, Yvonne
Index concepts for linear mixed systems of differential-algebraic and hyperbolic-type equations
SIAM Journal on Scientific Computing, 22 (5) :1610--1629
2001
Herausgeber: SIAM

1022.

Günther, Michael; Hoschek, Markus; Rentrop, Peter
Differential-algebraic equations in electric circuit simulation
Int. J. Electron. Commun. (AE\"U), 54 :101--107
2001

1021.

Setzer, Klaus-Dieter; Fink, Ewald H.; Alekseyev, Aleksey B.; Liebermann, Heinz-Peter; Buenker, Robert J.
Experimental and Theoretical Study of the Electronic States and Spectra of TeH and TeLi
Journal of Molecular Spectroscopy, 206 (2) :181-197
2001
Herausgeber: Academic Press

DOI: 10.1006/jmsp.2001.8301

1020.

Bartel, Andreas
Multirate {ROW} methods of mixed type for circuit simulation
Scientific Computing in Electrical Engineering: Proceedings of the 3rd International Workshop, August 20--23, 2000, Warnemünde, Germany, Seite 241--249
Springer Berlin Heidelberg
2001

1019.

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

1018.

Lampe, S.; Brachtendorf, H. G.; Maten, E. J. W.; Onneweer, S. P.; Laur, R.
Robust Limit Cycle Calculations of Oscillators
Lecture Notes in Computational Science and Engineering
Seite 233--240
Herausgeber: Springer Berlin Heidelberg
2001
233--240

DOI: 10.1007/978-3-642-56470-3_23

1017.

Houben, S. H. M. J.; Maten, E. J. W.; Maubach, J. M.; Peters, J. M. F.
Novel time-domain methods for free-running oscillators
ECCTD'01 - Proceedings of the 15TH European Conference on Circuit Theory and Design, Seite III-393 - III-396
Helsinki University of Technology
2001

1016.

Heland, Jörg; Kleffmann, Jörg; Kurtenbach, Ralf; Wiesen, Peter
A new instrument to measure gaseous nitrous acid (HONO) in the atmosphere
Environmental Science and Technology, 35 (15) :3207-3212
2001

DOI: 10.1021/es000303t

1015.

G\"unther, Michael; Rentrop, P.; Feldmann, U.
CHORAL - a one step method as numerical low pass filter in electrical network analysis
In {van Rienen}, U. and G\"unther, M. and Hecht, D., Editor, Scientific Computing in Electrical Engineering. Proceedings of the 3rd International Workshop, 20-23 August 2000, Warnem\"unde, Germany, Seite 199--215
In {van Rienen}, U. and G\"unther, M. and Hecht, D., Editor
Herausgeber: Springer-Verlag, Berlin
2001

1014.

Günther, Michael; Rentrop, Peter
PDAE-Netzwerkmodelle in der elektrischen Schaltungssimulation
:31-38
2001
Herausgeber: Frankfurt

1013.

Bunker, Philip R.; Chan, M. C.; Kraemer, Wolfgang P.; Jensen, Per
Predicted rovibronic spectra of CH2+ and CD2+
Chemical Physics Letters, 341 (3-4) :358-362
2001

DOI: 10.1016/S0009-2614(01)00498-5

1012.

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

1011.

Denk, Georg; Günther, Michael; Simeon, Bernd
Numerische Simulation in Chip-Design und Fahrzeugtechnik
2001

1010.

Günther, Michael; Hoschek, Markus
Partitionierung Strategies in Circuit Simulation
2001

1009.

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

1008.

Ebbinghaus, Alexandra; Wiesen, Peter
Aircraft fuels and their effect upon engine emissions
Air & Space Europe, 3 (1-2) :101-103
2001
Herausgeber: Elsevier Masson

DOI: 10.1016/s1290-0958(01)90026-7

1007.

Ehrhardt, Matthias
Discrete transparent boundary conditions for the Schrödinger equation
2001