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



5568.

Ehrhardt, Matthias
Mathematical Modelling of Monkeypox Epidemics

5567.

Ehrhardt, Matthias; Günther, Michael
Mathematical Study of Grossman's model of investment in health capital

5566.

Bartel, PD Dr A
Mathematische Modellierung in Anwendungen

5565.


Model Order Reduction Techniques for Basket Option Pricing

5564.

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

5563.

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

5562.

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

5561.

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

5560.

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

5559.

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

5558.

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

5557.

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

5556.

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

5555.

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

5554.

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

5553.

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

5552.

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

5551.

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

5550.

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

5549.

Acu, A.M.; Heilmann, Margareta; Raşa, I.
Voronovskaja type results for the Aldaz-Kounchev-Render versions of generalized Baskakov Operators
submitted
2025

5548.

Aydonat, Simay; Campagna, Davide; Göstl, Robert
Efficient, Functional Group-Tolerant, and Catalyst-Free Nitrile Formation From Aldehydes
Chemistry – A European Journal, 31 (71) :e02629
Dezember 2025
ISSN: 1521-3765

5547.

Kiesling, Elisabeth
What to do with CO2?: Iterative Entwicklung und Erprobung einer bilingual englischen Schülerlaboreinheit mit dem Fokus auf Carbon Capture and Storage als Beitrag zur Bildung für nachhaltige Entwicklung
Dezember 2025

5546.

Liu, Qian; Wang, Miao; Chen, Cheng; Zhao, Xiaowei
Current-Limiting Control Design for Grid-Forming Capability Enhancement of IBRs Under Asymmetric Grid Disturbances
IEEE Transactions on Power Electronics :1-17
November 2025
Herausgeber: IEEE
ISSN: 1941-0107

5545.

Könen, David; Stiglmayr, Michael
On Supportedness in Multi‐Objective Integer Linear Programming
Journal of Multi-Criteria Decision Analysis, 32 (3)
November 2025
Herausgeber: Wiley
ISSN: 1099-1360

5544.

[german] Bohrmann-Linde, Claudia; Eilks, Ingo; Grandrath, Rebecca; Linkwitz, Michael; Hoffmann, Marco
Fachkapitel Chemie - KMK BMZ Orientierungsrahmen für BNE in der gymnasialen Oberstufe
Seite 647-669
Herausgeber: ENGAGEMENT GLOBAL GmbH, Friedrich-Ebert-Allee 40 D-53113 Bonn
Oktober 2025
647-669

ISBN: 978-3-14-130363-6