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



2018

3967.

Gottschalk, Hanno; Saadi, Mohamed; Doganay, Onur Tanil; Klamroth, Kathrin; Schmitz, Sebastian
Adjoint method to calculate the shape gradients of failure probabilities for turbomachinery components
Conference Proceedings, ASME Turbo Expo
2018

3966.

Pletsch, Kai Kilian
Aerosol basierte PFT Eliminierung mittels satischem Mischer
2018

3965.

Carrillo, Jose; Choi, Young-Pil; Totzeck, Claudia; Tse, Oliver
An analytical framework for a consensus-based global optimization method
Mathematical Models and Methods in Applied Sciences, 28 (6) :1037-1066
2018

3964.

Jacob, Birgit; Zwart, Hans
An operator theoretic approach to infinite-dimensional control systems
GAMM-Mitt., 41 (4) :e201800010, 14
2018

3963.

Wichert, Ronja
Analytik von Mikroplastik mit Py-GCxGC-TOF
2018

3962.

Ahmad, Fayyaz; Al-Aidarous, Eman Salem; Alrehaili, Dina Abdullah; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano
Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
Numer. Algorithms, 78 (3) :867-893
2018

3961.

Ahmad, Fayyaz; Al-Aidarous, Eman Salem; Alrehaili, Dina Abdullah; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano
Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
Numer. Algorithms, 78 (3) :867-893
2018
ISSN: 1017-1398

3960.

Ahmad, Fayyaz; Al-Aidarous, Eman Salem; Alrehaili, Dina Abdullah; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano
Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
Numer. Algorithms, 78 (3) :867-893
2018
ISSN: 1017-1398

3959.

Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
Are the eigenvalues of the B-spline isogeometric analysis approximation of $-\Delta u=\lambda u$ known in almost closed form?
Numer. Linear Algebra Appl., 25 (5) :e2198, 34
2018

3958.

Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
Are the eigenvalues of the B-spline isogeometric analysis approximation of $-\Delta u=\lambda u$ known in almost closed form?
Numer. Linear Algebra Appl., 25 (5) :e2198, 34
2018
ISSN: 1070-5325

3957.

Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
Are the eigenvalues of the B-spline isogeometric analysis approximation of $-\Delta u=\lambda u$ known in almost closed form?
Numer. Linear Algebra Appl., 25 (5) :e2198, 34
2018
ISSN: 1070-5325

3956.

Bolten, Matthias; Moser, D.; Speck, R.
Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems
Numer. Lin. Alg. Appl., 25 (6) :e2208
2018

3955.

Bolten, M.; Moser, D.; Speck, R.
Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems
Numer. Lin. Alg. Appl., 25 (6) :e2208
2018

3954.

Bolten, M.; Moser, D.; Speck, R.
Asymptotic convergence of the parallel full approximation scheme in space and time for linear problems
Numer. Lin. Alg. Appl., 25 (6) :e2208
2018

3953.

Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Atmospheric sink of \(\beta\)-ocimene and camphene initiated by Cl atoms: Kinetics and products at NO\(_{x}\) free-Air
RSC Advances, 8 (48) :27054-27063
2018

3952.

Gaona-Colm{{\'a}}n, Elizabeth; Blanco, Mar{í}a B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Atmospheric sink of \(\beta\)-ocimene and camphene initiated by Cl atoms: Kinetics and products at NO\(_{x}\) free-Air
RSC Advances, 8 (48) :27054-27063
2018

3951.

Gaona-Colmán, Elizabeth; Blanco, María B.; Barnes, Ian; Wiesen, Peter; Teruel, Mariano A.
Atmospheric sink of β-ocimene and camphene initiated by Cl atoms: Kinetics and products at NOx free-Air
RSC Advances, 8 (48) :27054-27063
2018

3950.

Mothes, F.; Ifang, Stefanie; Gallus, Michael; Golly, B.; Bor{é}ave, A.; Kurtenbach, Ralf; Kleffmann, Jörg; George, Christian; Herrmann, Hartmut
Bed flow photoreactor experiments to assess the photocatalytic nitrogen oxides abatement under simulated atmospheric conditions
Applied Catalysis B: Environmental, 231 :161-172
2018
Herausgeber: Elsevier

3949.

Mothes, F.; Ifang, Stefanie; Gallus, Michael; Golly, B.; Bor{é}ave, A.; Kurtenbach, Ralf; Kleffmann, Jörg; George, Christian; Herrmann, Hartmut
Bed flow photoreactor experiments to assess the photocatalytic nitrogen oxides abatement under simulated atmospheric conditions
Applied Catalysis B: Environmental, 231 :161-172
2018
Herausgeber: Elsevier

3948.

Mothes, F.; Ifang, Stefanie; Gallus, Michael; Golly, B.; Boréave, A.; Kurtenbach, Ralf; Kleffmann, Jörg; George, Christian; Herrmann, Hartmut
Bed flow photoreactor experiments to assess the photocatalytic nitrogen oxides abatement under simulated atmospheric conditions
Applied Catalysis B: Environmental, 231 :161-172
2018
Herausgeber: Elsevier

3947.

Hirano, Tsuneo; Nagashima, Umpei; Jensen, Per
Bending wavefunctions for linear molecules
Journal of Molecular Spectroscopy, 343 :54-61
2018
Herausgeber: Academic Press

3946.

Hirano, Tsuneo; Nagashima, Umpei; Jensen, Per
Bending wavefunctions for linear molecules
Journal of Molecular Spectroscopy, 343 :54-61
2018
Herausgeber: Academic Press

3945.

Hirano, Tsuneo; Nagashima, Umpei; Jensen, Per
Bending wavefunctions for linear molecules
Journal of Molecular Spectroscopy, 343 :54-61
2018
Herausgeber: Academic Press

3944.

Heilmann, Margareta; Nasaireh, Fadel; Raşa, Ioan
Beta and related operators revisited
Constructive Theory of Functions, Proceedings, Seite 175-185
CTF 2016
Sozopol, Bulgaria
June 11-17, 2016
In K. Ivanov, G. Nikolov, R. Uluchev, Editor
Herausgeber: Prof. Marin Drinov Academic Publishing House
2018

3943.

Tausch, Michael W.
Bildung für das Lehramt Chemie in Deutschland. Didaktik bereits im Studium
{CHIMIA} International Journal for Chemistry, 72 (1) :13--15
2018
Herausgeber: Swiss Chemical Society