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



2014

2967.

Ankirchner, Stefan; Jeanblanc, Monique; Kruse, Thomas
BSDEs with singular terminal condition and a control problem with constraints
SIAM Journal on Control and Optimization, 52 (2) :893--913
2014
Herausgeber: SIAM

2966.

Ankirchner, Stefan; Jeanblanc, Monique; Kruse, Thomas
BSDEs with singular terminal condition and a control problem with constraints
SIAM Journal on Control and Optimization, 52 (2) :893–913
2014
Herausgeber: Society for Industrial and Applied Mathematics

2965.

Klee, Sonja; Thinius, Marco; Brockmann, Klaus Josef; Benter, Thorsten
Capillary atmospheric pressure chemical ionization using liquid point electrodes
Rapid Communications in Mass Spectrometry, 28 (14) :1591-1600
2014

2964.

Klee, Sonja; Thinius, Marco; Brockmann, Klaus Josef; Benter, Thorsten
Capillary atmospheric pressure chemical ionization using liquid point electrodes
Rapid Communications in Mass Spectrometry, 28 (14) :1591-1600
2014

2963.

Klee, Sonja; Thinius, Marco; Brockmann, Klaus Josef; Benter, Thorsten
Capillary atmospheric pressure chemical ionization using liquid point electrodes
Rapid Communications in Mass Spectrometry, 28 (14) :1591-1600
2014

2962.

Derpmann, Valerie; Müller, David; Bejan, Iustinian; Sonderfeld, Hannah; Wilberscheid, Sonja; Koppmann, Ralf; Brockmann, Klaus Josef; Benter, Thorsten
Capillary Atmospheric Pressure Electron Capture Ionization (cAPECI): A Highly Efficient Ionization Method for Nitroaromatic Compounds
Journal of The American Society for Mass Spectrometry, 25 (3) :329-342
2014

2961.

Derpmann, Valerie; M{ü}ller, David; Bejan, Iustinian; Sonderfeld, Hannah; Wilberscheid, Sonja; Koppmann, Ralf; Brockmann, Klaus Josef; Benter, Thorsten
Capillary Atmospheric Pressure Electron Capture Ionization (cAPECI): A Highly Efficient Ionization Method for Nitroaromatic Compounds
Journal of The American Society for Mass Spectrometry, 25 (3) :329-342
2014

2960.

Derpmann, Valerie; M{ü}ller, David; Bejan, Iustinian; Sonderfeld, Hannah; Wilberscheid, Sonja; Koppmann, Ralf; Brockmann, Klaus Josef; Benter, Thorsten
Capillary Atmospheric Pressure Electron Capture Ionization (cAPECI): A Highly Efficient Ionization Method for Nitroaromatic Compounds
Journal of The American Society for Mass Spectrometry, 25 (3) :329-342
2014

2959.

Bartel, Andreas; Ehrhardt, Matthias
Characteristic boundary conditions in the lattice Boltzmann method for fluid and gas dynamics
Journal of Computational and Applied Mathematics, 262 :51–61
2014
Herausgeber: North-Holland

2958.

Bartel, Andreas; Ehrhardt, Matthias
Characteristic boundary conditions in the lattice Boltzmann method for fluid and gas dynamics
Journal of Computational and Applied Mathematics, 262 :51–61
2014
Herausgeber: North-Holland

2957.

Tausch, Michael W.; Wachtendonk, M.; Bohrmann-Linde, Claudia; Krees, Simone; Buric, Ralf; Krollmann, Patrick; Schmitz, Wolfgang; Schulze, Ilona; Wambach, Heinz
CHEMIE 2000+ Lehrerband zur Einführungsphase
Herausgeber: C.C.Buchner, Bamberg
2014

2956.

Tausch, Michael W.; Wachtendonk, M.; Bohrmann-Linde, Claudia; Krees, Simone
CHEMIE 2000+ Qualifikationsphase
Herausgeber: C.C.Buchner, Bamberg
2014

2955.

Tausch, Michael W.; Flint, Alfred
Chemiedidaktik 2013 - Experimentell konzeptionelle Forschung in der Chemiedidaktik
Nachrichten aus der Chemie, 62 (3) :359
2014
Herausgeber: Wiley

2954.

Ehrhardt, Matthias
Classical and quasi-newton methods for a meteorological parameters prediction boundary value problem
Applied Mathematics & Information Sciences, 8 (6) :2683–2693
2014
Herausgeber: Natural Sciences Publishing

2953.

Ehrhardt, Matthias
Classical and quasi-newton methods for a meteorological parameters prediction boundary value problem
Applied Mathematics & Information Sciences, 8 (6) :2683–2693
2014
Herausgeber: Natural Sciences Publishing

2952.

Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel
Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices
SIAM J. Matrix Anal. Appl., 35 (4) :1602-1624
2014

2951.

Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel
Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices
SIAM J. Matrix Anal. Appl., 35 (4) :1602-1624
2014

2950.

Frommer, Andreas; Güttel, Stefan; Schweitzer, Marcel
Convergence of restarted Krylov subspace methods for Stieltjes functions of matrices
SIAM J. Matrix Anal. Appl., 35 (4) :1602-1624
2014

2949.

Kaufmann, Christof; Günther, Michael; Klagges, Daniel; Richwin, Matthias; Schöps, Sebastian; Maten, E. Jan W.
Coupled heat-electromagnetic simulation of inductive charging stations for electric vehicles
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor, Progress in Industrial Mathematics at ECMI 2012ausMathematics in Industry, Seite 27–36
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor
Herausgeber: Springer Cham
2014

2948.

Kaufmann, Christof; Günther, Michael; Klagges, Daniel; Richwin, Matthias; Schöps, Sebastian; Maten, E. Jan W.
Coupled heat-electromagnetic simulation of inductive charging stations for electric vehicles
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor, Progress in Industrial Mathematics at ECMI 2012ausMathematics in Industry, Seite 27–36
In Fontes, Magnus and Günther, Michael and Marheineke, Nicole, Editor
Herausgeber: Springer Cham
2014

2947.

Kaufmann, Christof; Günther, Michael; Klagges, Daniel; Richwin, Matthias; Schöps, Sebastian
Coupled heat-electromagnetic simulation of inductive charging stations for electric vehicles
In Fontes and et al., Editor, Progress in Industrial Mathematics at ECMI 2012, Seite 27--36
Springer International Publishing
In Fontes and et al., Editor
Herausgeber: Springer International Publishing
2014

2946.

Tretter, Christiane; Wyss, Christian
Dichotomous {H}amiltonians with unbounded entries and solutions of {R}iccati equations
J. Evol. Equ., 14 (1) :121--153
2014

2945.

Tretter, Christiane; Wyss, Christian
Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations
J. Evol. Equ., 14 (1) :121-153
2014

2944.

Tausch, Michael W.; Spinnen, Sebastian; Essers, Marcel; Krees, Simone
Die Umgebung macht's - Lichtabsorption und -emission in Lösung und in Feststoffmatrix
Praxis der Naturwissenschaften - Chemie in der Schule, 63 (2) :36
2014

2943.

Bartel, Andreas; Ehrhardt, Matthias
Discrete Artificial Boundary Condition for the Lattice Boltzmann Method
2014