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



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 Press

1491.

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: Elsevier

1490.

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: Elsevier

1489.

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: Elsevier

1488.

Farkas, Bálint; Révész, Szilárd Gy.
Tiles with no spectra in dimension 4
Math. Scand., 98 (1) :44-52
2006

1487.

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
2006

1485.

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: Pergamon

1484.

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: Pergamon

1483.

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: Pergamon

1482.

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
2006

1481.

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
2006

1480.

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 2005

1478.

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
2005

1477.

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
2005

1476.

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
2005

1475.

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-Holland

1474.

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: Elsevier

1473.

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: Elsevier

1472.

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, Ltd

1471.

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, Ltd

1470.

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, Ltd

1469.

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
2005

1468.

Frieß, L.; Klamroth, Kathrin; Sprau, M.
A wavefront approach to center location problems with barriers
Annals of Operations Research, 136 :35-48
2005