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

2003

1209.

Bartel, Andreas; Günther, Michael
From SOI to abstract electric-thermal-1D multiscale modeling for first order thermal effects
Mathematical and Computer Modelling of Dynamical Systems, 9 (1) :25–44
2003
Herausgeber: Taylor & Francis

DOI: 10.1076/mcmd.9.1.25.16517

1208.

Bartel, Andreas; Günther, Michael
From SOI to abstract electric-thermal-1D multiscale modeling for first order thermal effects
Mathematical and Computer Modelling of Dynamical Systems, 9 (1) :25--44
2003
Herausgeber: Taylor \& Francis

1207.

Bartel, Andreas; Günther, Michael
From SOI to abstract electric-thermal-1D multiscale modeling for first order thermal effects
Mathematical and Computer Modelling of Dynamical Systems, 9 (1) :25–44
2003
Herausgeber: Taylor & Francis

DOI: 10.1076/mcmd.9.1.25.16517

1206.

Br{ö}ske, Rolf; Kleffmann, Jörg; Wiesen, Peter
Heterogeneous conversion of NO\(_{2}\) on secondary organic aerosol surfaces: A possible source of nitrous acid (HONO) in the atmosphere?
Atmospheric Chemistry and Physics, 3 (3) :469-474
2003

DOI: 10.5194/acp-3-469-2003

1205.

Br{ö}ske, Rolf; Kleffmann, Jörg; Wiesen, Peter
Heterogeneous conversion of NO\(_{2}\) on secondary organic aerosol surfaces: A possible source of nitrous acid (HONO) in the atmosphere?
Atmospheric Chemistry and Physics, 3 (3) :469-474
2003

DOI: 10.5194/acp-3-469-2003

1204.

Bröske, Rolf; Kleffmann, Jörg; Wiesen, Peter
Heterogeneous conversion of NO2 on secondary organic aerosol surfaces: A possible source of nitrous acid (HONO) in the atmosphere?
Atmospheric Chemistry and Physics, 3 (3) :469-474
2003

DOI: 10.5194/acp-3-469-2003

1203.

Setzer, Klaus-Dieter; Beutel, M.; Fink, Ewald H.
High-resolution study of the b\(^{1}\)\(\Sigma\)\(^{+}\)(b0\(^{+}\)) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{1}\)0\(^{+}\)) transition of PI
Journal of Molecular Spectroscopy, 221 (1) :19-22
2003
Herausgeber: Academic Press

DOI: 10.1016/S0022-2852(03)00166-8

1202.

Setzer, Klaus-Dieter; Beutel, M.; Fink, Ewald H.
High-resolution study of the b\(^{1}\)\(\Sigma\)\(^{+}\)(b0\(^{+}\)) → X\(^{3}\)\(\Sigma\)\(^{-}\)(X\(_{1}\)0\(^{+}\)) transition of PI
Journal of Molecular Spectroscopy, 221 (1) :19-22
2003
Herausgeber: Academic Press

DOI: 10.1016/S0022-2852(03)00166-8

1201.

Setzer, Klaus-Dieter; Beutel, M.; Fink, Ewald H.
High-resolution study of the b1Σ+(b0+) → X3Σ-(X10+) transition of PI
Journal of Molecular Spectroscopy, 221 (1) :19-22
2003
Herausgeber: Academic Press

DOI: 10.1016/S0022-2852(03)00166-8

1200.

Rommes, J.; Vorst, H. A.; Maten, E. J. W.
Jacobi-Davidson Methods and Preconditioning with Applications in Pole-zero Analysis
In A. Buikis and R. Ciegis and A. D. Fitt, Editor, Progress in Industrial Mathematics at ECMI 2002, Jurmala Band 5 aus Mathematics in Industry
Seite 191-196
Herausgeber: Springer Berlin Heidelberg
2003
191-196

DOI: 10.1007/978-3-662-09510-2_23

1199.

Kleffmann, Jörg; Kurtenbach, Ralf; L{ö}rzer, Jutta C.; Wiesen, Peter; Kalthoff, Norbert; Vogel, Bernhard; Vogel, Heike
Measured and simulated vertical profiles of nitrous acid - Part I: Field measurements
Atmospheric Environment, 37 (21) :2949-2955
2003

DOI: 10.1016/S1352-2310(03)00242-5

1198.

Kleffmann, Jörg; Kurtenbach, Ralf; L{ö}rzer, Jutta C.; Wiesen, Peter; Kalthoff, Norbert; Vogel, Bernhard; Vogel, Heike
Measured and simulated vertical profiles of nitrous acid - Part I: Field measurements
Atmospheric Environment, 37 (21) :2949-2955
2003

DOI: 10.1016/S1352-2310(03)00242-5

1197.

Kleffmann, Jörg; Kurtenbach, Ralf; Lörzer, Jutta C.; Wiesen, Peter; Kalthoff, Norbert; Vogel, Bernhard; Vogel, Heike
Measured and simulated vertical profiles of nitrous acid - Part I: Field measurements
Atmospheric Environment, 37 (21) :2949-2955
2003

DOI: 10.1016/S1352-2310(03)00242-5

1196.

Vogel, Bernhard; Vogel, Heike; Kleffmann, Jörg; Kurtenbach, Ralf
Measured and simulated vertical profiles of nitrous acid - Part II. Model simulations and indications for a photolytic source
Atmospheric Environment, 37 (21) :2957-2966
2003
Herausgeber: Pergamon

DOI: 10.1016/S1352-2310(03)00243-7

1195.

Vogel, Bernhard; Vogel, Heike; Kleffmann, Jörg; Kurtenbach, Ralf
Measured and simulated vertical profiles of nitrous acid - Part II. Model simulations and indications for a photolytic source
Atmospheric Environment, 37 (21) :2957-2966
2003
Herausgeber: Pergamon

DOI: 10.1016/S1352-2310(03)00243-7

1194.

Vogel, Bernhard; Vogel, Heike; Kleffmann, Jörg; Kurtenbach, Ralf
Measured and simulated vertical profiles of nitrous acid - Part II. Model simulations and indications for a photolytic source
Atmospheric Environment, 37 (21) :2957-2966
2003
Herausgeber: Pergamon

DOI: 10.1016/S1352-2310(03)00243-7

1193.

Bartel, Andreas; Günther, Michael; Schulz, Martin
Modeling and Discretization
, Modelling, Simulation and Optimization of Integrated Circuits: Proceedings of a Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, November 25-December 1, 2001Band146, Seite 187
Springer Science \& Business Media
2003

1192.

Bartel, Andreas; Günther, Michael; Schulz, Martin
Modeling and discretization of a thermal-electric test circuit
In Antreich, K. and {et al.}, Editor, Modeling, Simulation, and Optimization of Integrated Circuits: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, November 25-December 1, 2001, Seite 187--201
Birkhäuser Basel
In Antreich, K. and {et al.}, Editor
Herausgeber: Birkh\"auser Verlag, Basel
2003

1191.

Bartel, Andreas; Günther, Michael; Schulz, Martin
Modeling and discretization of a thermal-electric test circuit
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor, Modeling, Simulation, and Optimization of Integrated Circuits: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, November 25-December 1, 2001, Seite 187–201
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor
Herausgeber: Birkhäuser, Basel
2003

DOI: 10.1007/978-3-0348-8065-7_12

1190.

Bartel, Andreas; Günther, Michael; Schulz, Martin
Modeling and discretization of a thermal-electric test circuit
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor, Modeling, Simulation, and Optimization of Integrated Circuits: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, November 25-December 1, 2001, Seite 187–201
In Antreich, Kurt and Bulirsch, Roland and Gilg, Albert and Rentrop, Peter, Editor
Herausgeber: Birkhäuser, Basel
2003

DOI: 10.1007/978-3-0348-8065-7_12

1189.

Farkas, Bálint
On the duals of L\sb p spaces with 0<p<1
Acta Math. Hungar., 98 (1-2) :71-77
2003

1188.

Bátkai, András; Farkas, Bálint
On the effect of small delays to the stability of feedback systems
, Evolution equations: applications to physics, industry, life sciences and economics (<prt>L</prt>evico <prt>T</prt>erme, 2000) Band 55 aus Progr. Nonlinear Differential Equations Appl.
Seite 83-94
Herausgeber: Birkhäuser, Basel
2003
83-94

1187.

Vogt, Rainer; Scheer, Volker; Casati, Roberto; Benter, Thorsten
On-Road Measurement of Particle Emission in the Exhaust Plume of a Diesel Passenger Car
Environmental Science \& Technology, 37 (18) :4070-4076
2003

DOI: 10.1021/es0300315

1186.

Vogt, Rainer; Scheer, Volker; Casati, Roberto; Benter, Thorsten
On-Road Measurement of Particle Emission in the Exhaust Plume of a Diesel Passenger Car
Environmental Science \& Technology, 37 (18) :4070-4076
2003

DOI: 10.1021/es0300315

1185.

Vogt, Rainer; Scheer, Volker; Casati, Roberto; Benter, Thorsten
On-Road Measurement of Particle Emission in the Exhaust Plume of a Diesel Passenger Car
Environmental Science & Technology, 37 (18) :4070-4076
2003

DOI: 10.1021/es0300315