4.4 Article

Robust shape optimization of electric devices based on deterministic optimization methods and finite-element analysis with affine parametrization and design elements

Journal

ELECTRICAL ENGINEERING
Volume 100, Issue 4, Pages 2635-2647

Publisher

SPRINGER
DOI: 10.1007/s00202-018-0716-6

Keywords

Finite-element analysis; Genetic algorithms; Gradient methods; Electric machines; Optimization methods; Particle swarm optimization; Permanent-magnet machines; Quadratic programming

Funding

  1. German BMBF [05M2013, 05M2018]
  2. 'Excellence Initiative' of the German Federal and State Governments
  3. Centre and Graduate School Computational Engineering at TU Darmstadt

Ask authors/readers for more resources

In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by piecewise affine parametrizations of the geometry or by the design element approach, both of which avoid remeshing. Furthermore, it is shown how to robustify the optimization procedure, that is, how to deal with uncertainties on the design parameters. The overall procedure is illustrated by an academic example and by the example of a permanent-magnet synchronous machine. The examples show the advantages of deterministic optimization compared to standard and popular stochastic optimization procedures such as particle swarm optimization.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.4
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Engineering, Multidisciplinary

Data-driven solvers for strongly nonlinear material response

Armin Galetzka, Dimitrios Loukrezis, Herbert De Gersem

Summary: This study proposes a data-driven magnetostatic finite-element solver that can handle strongly nonlinear material responses, utilizing heterogeneous weighting factors to locally balance the objective function and address unbalanced measurement data sets. Numerical experiments demonstrate significant improvements in solution accuracy and solver efficiency with this modification.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2021)

Article Engineering, Multidisciplinary

Identification of model uncertainty via optimal design of experiments applied to a mechanical press

Tristan Gally, Peter Groche, Florian Hoppe, Anja Kuttich, Alexander Matei, Marc E. Pfetsch, Martin Rakowitsch, Stefan Ulbrich

Summary: In engineering applications, models are used to describe processes, particularly in forming machines. This paper proposes a method to identify model uncertainty using parameter identification, optimal design of experiments, and hypothesis testing. By optimizing sensor positions, specific model parameters can be determined and confidence regions can be computed.

OPTIMIZATION AND ENGINEERING (2022)

Article Computer Science, Interdisciplinary Applications

Three-dimensional data-driven magnetostatic field computation using real-world measurement data

Armin Galetzka, Dimitrios Loukrezis, Herbert De Gersem

Summary: This paper demonstrates the practical usability of data-driven solvers in computationally demanding three-dimensional problems by directly utilizing real-world measurement data. The results indicate that the data-driven solver can recover conventional solutions and show good flexibility and applicability in practical usage.

COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING (2022)

Article Engineering, Electrical & Electronic

Simulation Analysis of Critical Parameters for Thermal Stability of Surge Arresters

Yvonne Spaeck-Leigsnering, Maren Greta Ruppert, Erion Gjonaj, Herbert De Gersem, Volker Hinrichsen

Summary: This paper investigates the thermal stability of station class surge arresters and proposes methods for improving heat transfer and predicting thermal stability, reducing the need for laboratory tests.

IEEE TRANSACTIONS ON POWER DELIVERY (2022)

Article Engineering, Multidisciplinary

Grassmannian diffusion maps based surrogate modeling via geometric harmonics

Ketson R. M. dos Santos, Dimitris G. Giovanis, Katiana Kontolati, Dimitrios Loukrezis, Michael D. Shields

Summary: A novel surrogate model based on Grassmannian diffusion maps and geometric harmonics is developed for predicting the response of complex physical phenomena. The model utilizes low-dimensional representation and mapping techniques to reconstruct the full solution. The performance of the model is verified through various examples.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2022)

Article Mathematics, Interdisciplinary Applications

Hybrid modeling: towards the next level of scientific computing in engineering

Stefan Kurz, Herbert De Gersem, Armin Galetzka, Andreas Klaedtke, Melvin Liebsch, Dimitrios Loukrezis, Stephan Russenschuck, Manuel Schmidt

Summary: The integration of machine learning and artificial intelligence technologies with physical modeling based on first principles will have a fundamental impact on scientific computing in engineering. This paper provides background information, discusses trends, and showcases recent achievements from an applied mathematics and industrial perspective. Examples include characterizing superconducting accelerator magnets, data-driven magnetostatic field simulation, and Bayesian free-shape optimization on a printed circuit board.

JOURNAL OF MATHEMATICS IN INDUSTRY (2022)

Article Engineering, Electrical & Electronic

Low-Frequency Stabilization for FEM Impedance Computation

Jonathan Stysch, Andreas Klaedtke, Herbert De Gersem

Summary: The article introduces a broadband extraction technique using the finite-element method for parasitic extraction, showing how a state-of-the-art stabilization approach based on a split of the Sobolev space is applied to address the low- to high-frequency regime issue.

IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY (2022)

Article Operations Research & Management Science

Differentiability results and sensitivity calculation for optimal control of incompressible two-phase Navier-Stokes equations with surface tension

Elisabeth Diehl, Johannes Haubner, Michael Ulbrich, Stefan Ulbrich

Summary: In this paper, optimal control problems for two-phase Navier-Stokes equations with surface tension are analyzed. By utilizing the L-p-maximal regularity of the linear problem and recent well-posedness results for small data, the differentiability of the solution with respect to controls is demonstrated. The study incorporates formulations transforming the interface to a hyperplane, deducing differentiability results in physical coordinates, and deriving sensitivity equations of a Volume-of-Fluid type formulation.

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS (2022)

Article Engineering, Multidisciplinary

Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries

Ion Gabriel Ion, Dimitrios Loukrezis, Herbert De Gersem

Summary: This work presents a numerical solver combining isogeometric analysis (IGA) and tensor train (TT) decomposition for approximating parameter-dependent PDEs on geometries. The proposed method effectively handles parameter dependencies and demonstrates high computational efficiency and compression ratios.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)

Article Engineering, Electrical & Electronic

Quasi-3D Magneto-Thermal Quench Simulation Scheme for Superconducting Accelerator Magnets

Laura A. M. D'Angelo, Yvonne Spack-Leigsnering, Herbert De Gersem

Summary: This work proposes a hybrid numerical method to tackle the multi-scale problem in the quench simulation of superconducting accelerator magnets.

IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY (2022)

Article Engineering, Electrical & Electronic

High-Frequency Modeling of Delta- and Star-Connected Induction Motors

Vefa Karakasl, Fabian Gross, Tristan Braun, Herbert De Gersem, Gerd Griepentrog

Summary: In this article, a high-frequency six-port three-phase induction motor model is proposed. The model utilizes multistage RLC circuits to accurately predict impedance. It is derived from CM and DM equivalent circuits and takes into account the nonlinear inductance effect in the low-frequency range. Additionally, the model can be easily transformed between delta and star configurations.

IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY (2022)

Article Engineering, Electrical & Electronic

Finite Element Extraction of Frequency-Dependent Parasitics

Jonathan Stysch, Andreas Klaedtke, Herbert de Gersem

Summary: This study proposes a stable and efficient method for extracting frequency-dependent parasitic effects of computer-aided design models. By using the finite element method, an equivalent circuit is generated by combining the results of full-wave simulation and magnetoquasistatic simulation, along with capacitances computed in an electrostatic simulation. This method ensures stability by separating resistive and inductive effects and avoiding ill-conditioned impedance or scattering matrices at low frequencies.

IEEE TRANSACTIONS ON MAGNETICS (2022)

Article Engineering, Electrical & Electronic

Comparison of 2.5D finite element formulations with perfectly matched layers for solving open axisymmetric electromagnetic cavity problems

Erik Schnaubelt, Herbert De Gersem, Nicolas Marsic

Summary: This paper introduces a method for calculating electromagnetic wave problems using axial symmetry, which reduces computational complexity but introduces new difficulties. By combining finite element formulations with perfectly matched layers, open problems can be addressed. A comparison and discussion of different combinations of axial symmetric FE formulations and PMLs are presented, using a dielectric sphere in open space as a test case. A superconducting Fabry-Perot photon trap is also considered as an application example.

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS (2023)

Article Engineering, Mechanical

Capacitance calculation of unloaded rolling elements - Comparison of and numerical methods

S. Puchtler, T. Schirra, E. Kirchner, Y. Spaeck-Leigsnering, H. De Gersem

Summary: This study compares different methods for calculating the capacitance of unloaded rolling elements to improve the electric characterization of rolling element bearings. Semi-analytical approximations and finite element simulations are used, and a closed-form analytical two-dimensional solution is derived for comparison. The results show that the most common semi-analytical approximation, which uses effective radii to express the contact geometry, reproduces the trend from numerical and analytical calculations, but overestimates the results derived from numerical simulations. Another semi-analytical approach is presented that delivers better results for the capacitance of unloaded point contacts.

TRIBOLOGY INTERNATIONAL (2022)

No Data Available