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
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
- Efficiency of the time-integration for field devices in pulsed circuits (multirate, dynamic iteration)
- DAE-index of the coupled system
- Existence and Uniqueness of the solution
Cooperation
- Herbert De Gersem, Katholieke Universiteit Leuven
- Markus Clemens, Bergische Universität Wuppertal
- Sascha Baumanns, Universität zu Köln
Former and ongoing projects
Publications
- 2006
1492.
Cohen, E. A.; Goodridge, D. M.; Kawaguchi, K.; Fink, Ewald H.; Setzer, Klaus-Dieter
The rotational spectrum of BiO radical in its X1 2Π1/2 and X2 2Π3/2 states
Journal of Molecular Spectroscopy, 239 (1) :16-23
2006
Herausgeber: Academic Press1491.
Bunker, Philip R.; Gu{é}rout, R.; Jakubek, Z. J.; Jensen, Per; Yurchenko, Sergey N.
The rovibronic energies of the SiNSi radical in its X\verb=~=\(^{2}\)\(\Pi\)\(_{g}\) electronic state
Journal of Molecular Structure, 795 (1-3) :9-13
2006
Herausgeber: Elsevier1490.
Bunker, Philip R.; Gu{é}rout, R.; Jakubek, Z. J.; Jensen, Per; Yurchenko, Sergey N.
The rovibronic energies of the SiNSi radical in its X\verb=~=\(^{2}\)\(\Pi\)\(_{g}\) electronic state
Journal of Molecular Structure, 795 (1-3) :9-13
2006
Herausgeber: Elsevier1489.
Bunker, Philip R.; Guérout, R.; Jakubek, Z. J.; Jensen, Per; Yurchenko, Sergey N.
The rovibronic energies of the SiNSi radical in its X~2Πg electronic state
Journal of Molecular Structure, 795 (1-3) :9-13
2006
Herausgeber: Elsevier1488.
Farkas, Bálint; Révész, Szilárd Gy.
Tiles with no spectra in dimension 4
Math. Scand., 98 (1) :44-52
20061487.
Fijnvandraat, J. G.; Houben, S. H. M. J.; Maten, E. J. W.; Peters, J. M. F.
Time domain analog circuit simulation
Journal of Computational and Applied Mathematics, 185 (2) :441--459
Januar 2006
Herausgeber: Elsevier {BV}1486.
Tausch, Michael W.; Wachtendonk, M.
UNTERRICHTSPRAXIS S II, Band 3 ''Organische Reaktionen''
Herausgeber: Aulis Verlag Deubner, Köln
20061485.
Schimang, Ralf; Folkers, Achim; Kleffmann, Jörg; Kleist, Einhard; Miebach, Marco; Wildt, Jürgen
Uptake of gaseous nitrous acid (HONO) by several plant species
Atmospheric Environment, 40 (7) :1324-1335
2006
Herausgeber: Pergamon1484.
Schimang, Ralf; Folkers, Achim; Kleffmann, Jörg; Kleist, Einhard; Miebach, Marco; Wildt, J{ü}rgen
Uptake of gaseous nitrous acid (HONO) by several plant species
Atmospheric Environment, 40 (7) :1324-1335
2006
Herausgeber: Pergamon1483.
Schimang, Ralf; Folkers, Achim; Kleffmann, Jörg; Kleist, Einhard; Miebach, Marco; Wildt, J{ü}rgen
Uptake of gaseous nitrous acid (HONO) by several plant species
Atmospheric Environment, 40 (7) :1324-1335
2006
Herausgeber: Pergamon1482.
Pulch, R.
Warped MPDAE models with continuous phase conditions
In Di Bucchianico, A. and Mattheij, R.M.M. and Peletier, M.A., Editor, Progress in Industrial Mathematics at ECMI 2004, Seite 179–183
In Di Bucchianico, A. and Mattheij, R.M.M. and Peletier, M.A., Editor
Herausgeber: Springer Berlin Heidelberg
20061481.
Bartel, Andreas; Knorr, Stephanie
Wavelet-based Adaptive Grids for the Simulation of Multirate Partial Differential-Algebraic Equations
, PAMM: Proceedings in Applied Mathematics and MechanicsBand6:1ausPAMM, Seite 39--42
WILEY-VCH Verlag Berlin
20061480.
Bartel, Andreas; Knorr, Stephanie
Wavelet-based adaptive grids for the simulation of multirate partial differential-algebraic equations
PAMM: Proceedings in Applied Mathematics and Mechanics, 6 (1) :39–42
2006
Herausgeber: WILEY-VCH Verlag- 2005
1479.
Bohrmann-Linde, Claudia
Solarzelle und LED. Zwei Beispiele für Multimedia-gestützte Lerneinheiten
Unterricht Chemie, 90 (16) :31-38
August 20051478.
G{{\'u}}rout, R.; Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.
A calculation of the rovibronic energies and spectrum of the B\verb=~= \(^{1}\)A\(_{1}\) electronic state of SiH\(_{2}\)
Journal of Chemical Physics, 123 (24) :244312
20051477.
G{{\'u}}rout, R.; Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.
A calculation of the rovibronic energies and spectrum of the B\verb=~= \(^{1}\)A\(_{1}\) electronic state of SiH\(_{2}\)
Journal of Chemical Physics, 123 (24) :244312
20051476.
Gúrout, R.; Bunker, Philip R.; Jensen, Per; Kraemer, Wolfgang P.
A calculation of the rovibronic energies and spectrum of the B~ 1A1 electronic state of SiH2
Journal of Chemical Physics, 123 (24) :244312
20051475.
Striebel, Michael; Günther, Michael
A charge oriented mixed multirate method for a special class of index-1 network equations in chip design
Applied numerical mathematics, 53 (2-4) :489--507
2005
Herausgeber: North-Holland1474.
Striebel, Michael; Günther, Michael
A charge oriented mixed multirate method for a special class of Index-1 network equations in chip design
Applied Numerical Mathematics, 53 :489–507
2005
Herausgeber: Elsevier1473.
Striebel, Michael; Günther, Michael
A charge oriented mixed multirate method for a special class of Index-1 network equations in chip design
Applied Numerical Mathematics, 53 :489–507
2005
Herausgeber: Elsevier1472.
Droste, Stefan; Schellentr{ä}ger, Marc; Constapel, Marc; G{ä}b, Siegmar; Lorenz, Matthias; Brockmann, Klaus Josef; Benter, Thorsten; Lubda, Dieter; Schmitz, Oliver Johannes
A silica-based monolithic column in capillary HPLC and CEC coupled with ESI-MS or electrospray-atmospheric-pressure laser ionization-MS
Electrophoresis, 26 (21) :4098-4103
2005
Herausgeber: John Wiley \& Sons, Ltd1471.
Droste, Stefan; Schellentr{ä}ger, Marc; Constapel, Marc; G{ä}b, Siegmar; Lorenz, Matthias; Brockmann, Klaus Josef; Benter, Thorsten; Lubda, Dieter; Schmitz, Oliver Johannes
A silica-based monolithic column in capillary HPLC and CEC coupled with ESI-MS or electrospray-atmospheric-pressure laser ionization-MS
Electrophoresis, 26 (21) :4098-4103
2005
Herausgeber: John Wiley \& Sons, Ltd1470.
Droste, Stefan; Schellenträger, Marc; Constapel, Marc; Gäb, Siegmar; Lorenz, Matthias; Brockmann, Klaus Josef; Benter, Thorsten; Lubda, Dieter; Schmitz, Oliver Johannes
A silica-based monolithic column in capillary HPLC and CEC coupled with ESI-MS or electrospray-atmospheric-pressure laser ionization-MS
Electrophoresis, 26 (21) :4098-4103
2005
Herausgeber: John Wiley & Sons, Ltd1469.
Droste, S.; Schellenträger, M.; Constapel, M.; Gäb, S.; Lorenz, M.; Brockmann, K. J.; Benter, T.; Lubda, D.; Schmitz, O. J.
A Silica-based Monolithic Column in capillary-HPLC and CEC coupled with ESI- MS or ES-APLI-MS
Electrophoresis, 26 :4098--4103
20051468.
Frieß, L.; Klamroth, Kathrin; Sprau, M.
A wavefront approach to center location problems with barriers
Annals of Operations Research, 136 :35-48
2005