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



5382.

Bartel, PD Dr A
Mathematische Modellierung in Anwendungen

5381.


Model Order Reduction Techniques for Basket Option Pricing

5380.

Ehrhardt, Matthias; Günther, Michael
Modelling Stochastic Correlations in Finance

5379.

Ehrhardt, Matthias; Günther, Michael; Jacob, Birgit; Maten, Jan
Modelling, Analysis and Simulation with Port-Hamiltonian Systems

5378.

Maten, E Jan W; Ehrhardt, Matthias
MS40: Computational methods for finance and energy markets
19th European Conference on Mathematics for Industry, Seite 377

5377.

Putek, Piotr; PAPLICKI, Piotr; Pulch, Roland; Maten, Jan; Günther, Michael; PA{\L}KA, Ryszard
NONLINEAR MULTIOBJECTIVE TOPOLOGY OPTIMIZATION AND MULTIPHYSICS ANALYSIS OF A PERMANENT-MAGNET EXCITED SYNCHRONOUS MACHINE

5376.

Günther, Michael; Wandelt, Dipl Math Mich{\`e}le
Numerical Analysis and Simulation I: ODEs

5375.

Ehrhardt, Matthias; Günther, Michael
Numerical Evaluation of Complex Logarithms in the Cox-Ingersoll-Ross Model

5374.

Ehrhardt, Matthias; Günther, Michael
Numerical Pricing of Game (Israeli) Options

5373.

Ehrhardt, Matthias; Farkas, Bálint; Günther, Michael; Jacob, Birgit
Operator Splitting and Multirate Schemes

5372.

Vázquez, C
PDE modeling and numerical methods for swing option pricing in electricity markets
19th European Conference on Mathematics for Industry, Seite 390

5371.

Ehrhardt, Matthias
Positive Schemes for Air Pollution Problems, Optimal Location of Industrial Enterprises and Optimization of their Emissions

5370.

Ehrhardt, Matthias; Vázquez, Carlos
Pricing swing options in electricity markets with two stochastic factors: PIDE modeling and numerical solution
3rd International Conference on Computational Finance (ICCF2019), Seite 89

5369.

Putek, PA; Ter Maten, EJW
Reliability-based Low Torque Ripple Design of Permanent Magnet Machine

5368.

Knechtli, F; Striebel, M; Wandelt, M
Symmetric \& Volume Preserving Projection Schemes

5367.

Putek, Piotr; Günther, Michael
Topology Optimization and Analysis of a PM synchronous Machine for Electrical Automobiles

5366.

Ehrhardt, Matthias; Günther, Michael
Vorhersage-Modelle am Beispiel des Corona-Virus COVID-19

5365.

Acu, A.M.; Heilmann, Margareta; Raşa, I.
Voronovskaja type results for the Aldaz-Kounchev-Render versions of generalized Baskakov Operators
submitted
2024

5364.


Oleanolic Acid-Derived High-Glass-Transition-Temperature Methacrylic Polymers
Sustainable Chemistry & Engineering, 12 :18499-18507
Dezember 2024
Herausgeber: ACS
ISSN: 2168-0485

5363.

Sinani, Mario; Palacios, Rafael; Wynn, Andrew
Capturing & Bounding Nonlinear Modal Energy Transfer for Geometrically Exact Beams using Semi-Definite Programming
EEE 63rd Conference on Decision and Control (CDC), 16-19 December
Dezember 2024

5362.

Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas
Perfectly Matched Layers and Characteristic Boundaries in Lattice Boltzmann: Accuracy vs Cost
AIAA Journal
Dezember 2024

5361.

Bohrmann-Linde, Claudia; Kiesling, Elisabeth; Brunnert, Rainer; Strippel, C.; Landau, R.; Geller, Heidrun
Bilingual Chemistry
In Claudia Bohrmann-Linde, Rainer Brunnert, Elisabeth Kiesling, Editor, Band 1
Herausgeber: Bergische Universität Wuppertal
November 2024

5360.

Aydonat, Simay; Campagna, Davide; Kumar, Sourabh; Storch, Sonja; Neudecker, Tim; Göstl, Robert
Accelerated Mechanochemical Bond Scission and Stabilization against Heat and Light in Carbamoyloxime Mechanophores
Journal of the American Chemical Society, 146 (46) :32117-32123
November 2024
ISSN: 0002-7863

5359.

Liu, Kang; Wang, Ziqi; Zuazua, Enrique
A Potential Game Perspective in Federated Learning
November 2024

5358.


Synthesis of N2-Substituted 1,2,3-Triazoles
Organic Letters, 26 :8816-8820
Oktober 2024
Herausgeber: ACS