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



2023

4630.

Bauß, Julius; Parragh, Sophie N.; Stiglmayr, Michael
Adaptive Improvements of Multi-objective Branch and Bound
2023

4629.

Metzmacher, Andreas; Burgmann, Sebastian; Janoske, Uwe
$\mu$PIV measurements of the phase-averaged velocity distribution within wavy films
Experiments in Fluids, 64 (4) :81
2023
Herausgeber: Springer Berlin Heidelberg Berlin/Heidelberg

4628.

Pereselkov, Sergey; Kuz’kin, Venedikt; Ehrhardt, Matthias; Tkachenko, Sergey; Rybyanets, Pavel; Ladykin, Nikolay
3D Modeling of sound field hologram of moving source in presence of internal waves causing horizontal refraction.
Preprint IMACM
2023

4627.

Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas
A characteristic boundary condition for multispeed lattice Boltzmann methods
Communications in Computational Physics, 33 (1) :101–117
2023
Herausgeber: Global Science Press

4626.

Fatoorehchi, Hooman; Ehrhardt, Matthias
A combined method for stability analysis of linear time invariant control systems based on Hermite-Fujiwara matrix and Cholesky decomposition
The Canadian Journal of Chemical Engineering, 101 (12) :7043–7052
2023
Herausgeber: John Wiley & Sons

4625.

Zargaran, Amin; Dolshanskiy, Wladislaw; Stepanyuk, Alexey; Pauer, Werner; Janoske, Uwe
A hybrid approach based on Lagrangian particles and immersed-boundary method to characterize rotor--stator mixing systems for high viscous mixtures
Chemical Engineering Journal, 473 :145062
2023
Herausgeber: Elsevier

4624.

Fatoorehchi, Hooman; Zarghami, Reza; Ehrhardt, Matthias
A new method for stability analysis of linear time-invariant systems and continuous-time nonlinear systems with application to process dynamics and control
2023

4623.

Fatoorehchi, Hooman; Zarghami, Reza; Ehrhardt, Matthias
A new method for stability analysis of linear time-invariant systems and continuous-time nonlinear systems with application to process dynamics and control
2023

4622.

Fatoorehchi, Hooman; Zarghami, Reza; Ehrhardt, Matthias
A new method for stability analysis of linear time-invariant systems and continuous-time nonlinear systems with application to process dynamics and control
Preprint IMACM
2023

4621.

Güttel, Stefan; Schweitzer, Marcel
Randomized sketching for Krylov approximations of large-scale matrix functions
SIAM J. Matrix Anal. Appl., 44 (3) :1073-1095
2023

4620.

Bolten, Matthias; Ekström, S.-E.; Furci, I.; Serra-Capizzano, S.
A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices
Electron. Trans. Numer. Anal., 58 :136--163
2023

4619.

Edeko, Nikolai; Jamneshan, Asgar; Kreidler, Henrik
A Peter-Weyl theorem for compact group bundles and the geometric representation of relatively ergodic compact extensions
2023

4618.

Kordon, Florian; Stiglmayr, Michael; Maier, Andreas; Vicario, Celia Mart{\'{\i}}n; Pertlwieser, Tobias; Kunze, Holger
A principled representation of elongated structures using heatmaps
Scientific Reports, 13 (15253)
September 2023

4617.

Könen, David; Stiglmayr, Michael
An output-polynomial time algorithm to determine all supported efficient solutions for multi-objective integer network flow problems
2023

4616.

Halim, A. Abdul; others
Constraining the sources of ultra-high-energy cosmic rays across and above the ankle with the spectrum and composition data measured at the Pierre Auger Observatory
JCAP, 05 :024
2023

4615.

Beumker, Tim Frederik
Analysis of a combined measurement of $W^\pm \rightarrow \ell^\pm \nu (\ell = e,\mu)$ cross section differential in $\m_T^W$ and $\m_T^W \cross |\eta|$ at high transverse masses at $\sqrt{s} = 13$ TeV with the Atlas detector
2023

4614.

Frommer, Andreas; Schweitzer, Marcel
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices
2023

4613.

[german] Zeller, Diana
App des Monats: Monatliche Steckbriefe für einen abwechslungsreichen Einsatz digitaler Medien im Chemieunterricht
In Wilke, T.; Rubner, I., Editor, Band DiCE-Tagung 2023 - Digitalisation in Chemistry Education
Herausgeber: Friedrich-Schiller-Universität Jena, Institut für Anorganische und Analytische Chemie, Jena
2023

4612.

[en] Börger, Kristian; Ellingham, Jennifer; Belt, Alexander; Schultze, Thorsten; Bieder, Stefan; Weckman, Elizabeth; Arnold, Lukas
Assessing performance of LEDSA and Radiance method for measuring extinction coefficients in real-scale fire environments
Fire Safety Journal, 141
Dezember 2023
ISSN: 03797112

4611.

Dehne, Tobias
Assessment of horizontal flame spread with solid pyrolysis modelling in the Fire Dynamics Simulator
Bergische Universität Wuppertal
2023

4610.

Schäfers, Torben; Teng, Long
Asymmetry in stochastic volatility models with threshold and time-dependent correlation
Studies in Nonlinear Dynamics & Econometrics, 27 (2) :131–146
2023
Herausgeber: De Gruyter

4609.

Hastir, Anthony; Hosfeld, René; Schwenninger, Felix L.; Wierzba, Alexander A.
BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators
2023

4608.

Gorski, Jochen; Klamroth, Kathrin; Sudhoff, Julia
Biobjective optimization problems on matroids with binary costs
Optimization, 72 (7) :1931-1960
2023
Herausgeber: Taylor & Francis

4607.

[german] Grandrath, Rebecca
CapCut – intuitive und vollständige Videobearbeitung
:1-2
2023
Herausgeber: Friedrich-Schiller-Universität Jena, Institut für Anorganische und Analytische Chemie

4606.

Hosfeld, René; Jacob, Birgit; Schwenninger, Felix L.
Characterization of Orlicz admissibility
Semigroup Forum, 106 :633–661
2023

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