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

5089.

[en] Hehnen, Tristan; Arnold, Lukas
PMMA pyrolysis simulation – from micro- to real-scale
Fire Safety Journal, 141
Dezember 2023
ISSN: 03797112

5088.

Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan; Seserman, Andra
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117
2023

5087.

Bartel, Andreas; Clemens, Markus; Günther, Michael; Jacob, Birgit; Reis, Timo
Port-{H}amiltonian Systems Modelling in Electrical Engineering
arXiv preprint arXiv:2301.02024
2023

5086.

Ponce, Cristobal; Wu, Yongxin; Le Gorrec, Yann; Ramirez, Hector
Port-Hamiltonian modeling of multidimensional flexible mechanical structures defined by linear elastic relations
2023

5085.

Jacob, Birgit; Totzeck, Claudia
Port-Hamiltonian structure of interacting particle systems and its mean-field limit
2023

5084.

Bartel, Andreas; Clemens, Markus; Günther, Michael; Jacob, Birgit; Reis, Timo
Port-Hamiltonian Systems Modelling in Electrical Engineering
arXiv preprint arXiv:2301.02024
2023

5083.

Bahja, Ali Rida
Pose Estimation using Deep Learning and Systematic Dataset Generation for Industrial Manufacturing
2023

5082.

Abel, Ulrich; Acu, Ana Maria; Heilmann, Margareta; Raşa, Ioan
Positive linear operators preserving certain monomials on [0, ∞)
Dolomites Research Notes on Approximation, 16 :1-9
2023
ISSN: 2035-6803

5081.

Baptista, Andrea; Gibilisco, Rodrigo G.; Patroescu-Klotz, Iulia; Illmann, Niklas; Wiesen, Peter; Blanco, María B.; Teruel, Mariano A.
Product study of the reactions of γ-caprolactone and γ-heptalactone initiated by OH radicals at 298 K and atmospheric pressure: Formation of acyl peroxynitrates (APN).
Chemosphere, 323 :138156
Mai 2023
ISSN: 00456535

5080.

Morejon, Leonel; Condorelli, Antonio; Biteau, Jonathan; Kampert, Karl-Heinz
Propagation of Ultra High-Energy Cosmic Rays in light of the latest EBL constraints
PoS, ICRC2023 :283
2023

5079.

Ahmed, Mustafa
Quantifizierung der Genauigkeit der Co-Simulation Scalar Potential Finite Difference Methode bei der Expositionsbestimmung von Menschen durch die vernachlässigte Rückwirkung der körperinduzierten Ströme auf das magnetische Quellfeld
2023

5078.

Abdul Halim, Adila; others
Radio Interferometry applied to air showers recorded by the Auger Engineering Radio Array
PoS, ICRC2023 :380
2023

5077.

Makarov, Denis; Petrov, Pavel; Uleysky, Mikhail
Random matrix theory for sound propagation in a shallow-water acoustic waveguide with sea bottom roughness
submitted to J. Marine Sci. Eng.
Juni 2023

5076.

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

5075.

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

5074.

Göhring, Timo
Ratio of Electron and Muon Pair Production at High Invariant Mass in Association with a b-jet
2023

5073.

[en] Börger, Kristian; Belt, Alexander; Schultze, Thorsten; Arnold, Lukas
Remote Sensing of the Light-Obscuring Smoke Properties in Real-Scale Fires Using a Photometric Measurement Method
Fire Technology
September 2023
ISSN: 0015-2684, 1572-8099

5072.

Asatryan, Hayk; Gaul, Daniela; Gottschalk, Hanno; Klamroth, Kathrin; Stiglmayr, Michael
Ridepooling and public bus services: A comparative case-study
Submitted to Transportation
2023
Herausgeber: arXiv

5071.

Wintermayr, Jens; Kerner, Joachim; Täufer, Matthias
Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice
Annales Henri Poincare :19
Dezember 2023

5070.

Thielmann, Oliver
Search for flavour-changing neutral current interactions in the top-quark Higgs boson sector in multi-lepton final states with the ATLAS detector at the LHC at $\sqrt{s} = 13\,\text{TeV}$
Bergische Universität Wuppertal
2023

5069.

Aad, Georges; others
Search for pair-produced scalar and vector leptoquarks decaying into third-generation quarks and first- or second-generation leptons in pp collisions with the ATLAS detector
JHEP, 2306 :188
2023

5068.

Aad, Georges; others
Search for pair-produced vector-like top and bottom partners in events with large missing transverse momentum in pp collisions with the ATLAS detector
Eur. Phys. J. C, 83 (8) :719
2023

5067.

Abreu, P.; others
Search for photons above 10^{19} eV with the surface detector of the Pierre Auger Observatory
JCAP, 05 :021
2023

5066.

Abdul Halim, Adila; others
Search for primary photons at tens of PeV with the Pierre Auger Observatory
PoS, ICRC2023 :238
2023

5065.

Abdul Halim, Adila; others
Search for Ultra-high-energy Photons from Gravitational Wave Sources with the Pierre Auger Observatory
Astrophys. J., 952 (1) :91
2023