Conference Agenda

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Session Overview
Session
PA-A3: Mathematical modelling and formulations 1
Time:
Tuesday, 23/May/2023:
1:50pm - 3:20pm

Session Chair: Prof. Ursula van Rienen, University of Rostock, Germany

Presentations
ID: 365 / PA-A3: 1
Topics: Mathematical Modelling and Formulations, Numerical Techniques, Material Modelling
Keywords: eigenvalues and eigenfunctions, modal analysis, plasmons, resonance light scattering

Effective Finite-Difference Modeling of Graphene Micro-Resonators for the Accurate Natural Frequency Extraction

Stamatios Amanatiadis1, Tadao Ohtani2, Theodoros Zygiridis3, Yasushi Kanai4, Nikolaos Kantartzis1

1Aristotle University of Thessaloniki, Greece; 21-17-134, Omachi; 3University of Western Macedonia; 4Niigata Institute of Technology

The determination of the natural frequencies for graphene finite structures is realized in the present work using a finite-difference scheme. The frequency-dispersive two-dimensional material is treated as an equivalent surface current density, while an appropriate auxiliary differential equation is introduced to acquire a linear eigenvalue problem. Then, the finite-difference discretization is performed in a Yee-cell manner to straightforwardly implement all the required curl operations. Finally, a rectangular graphene patch is employed to validate the proposed methodology. The numerically extracted eigenstates verified the precise modeling via the successful comparison to the well-established resonator scattering approach.

PA-A3-1-365.pdf


ID: 472 / PA-A3: 2
Topics: Static and Quasi-Static Fields, Mathematical Modelling and Formulations
Keywords: Equivalent circuit, nonlinear

A Time-Stepping Volume Integral Method for Nonlinear Field-Circuit Coupled Problems

Mayra Hernandez Alayeto1,2, Gerard Meunier1, Loic Rondot2, Olivier Chadebec1, Jean-Michel Guichon1, Matthieu Favre2

1Univ. Grenoble Alpes, CNRS, Grenoble INP, G2ELab, Grenoble, France; 2Schneider Electric, Global Technology, Eybens, France

A B-conforming time stepping volume integral formulation (VIM) for nonlinear 3D field-circuit coupled problems is presented in this paper. The advantage of the VIM with respect to the finite element method (FEM) is that only the ferromagnetic regions have to be discretized, thus avoiding to mesh the air. It is an appealing approach because it avoids the numerical errors that can arise from modeling the air. An application to a current transformer is presented and compared to the FEM to validate its accuracy.

PA-A3-2-472.pdf


ID: 360 / PA-A3: 3
Topics: Mathematical Modelling and Formulations, Multi-Scale Modelling and Homogenization
Keywords: Domain decomposition, finite element method, thin wire, parasitic capacitances, proximity and skin effect.

Two-Domain Method for Simulations of Wires in Full Wave Problems

Karl Hollaus, Markus Schöbinger

Technische Universität Wien, Austria

In numerous problems with arbitrary wire configurations, e.g. in power electronics, neither the skin effect, the proximity effect nor parasitic capacitances can be neglected. Finite element modeling in this context may become rather expensive or practically improper. To this end, a novel two-domain method has been developed, which uses a usual finite element approximation outside of wire volumes and a problem specific approach on the inside. Numerical simulations of small examples show very satisfactory results.

PA-A3-3-360.pdf


ID: 134 / PA-A3: 4
Topics: Mathematical Modelling and Formulations, Numerical Techniques
Keywords: Convergence of numerical methods, high performance computing, linear systems, numerical analysis

High-Performance Linear-System Solver for Asymmetric Saddle-Point Problem Obtained by Discretization with Extended Element-Free Galerkin Method

Atsushi Kamitani, Teruou Takayama

Yamagata University, Japan

If a boundary-value problem is discretized with the extended Element-Free Galerkin (EFG) method, an asymmetric EFG-type Saddle-Point (EFG-SP) problem is obtained and it is known as a linear system that is difficult to solve numerically. In the present study, the Asymmetric-version improved Variable-Reduction Method (AiVRM) is proposed as a solver of the problem and its performance is investigated numerically. Consequently, it is found that, especially for a large-scale asymmetric EFG-SP problem, the AiVRM is more effective than the preconditioned Krylov subspace method.

PA-A3-4-134.pdf


ID: 294 / PA-A3: 5
Topics: Mathematical Modelling and Formulations, Novel Computational Methods for Machines and Devices
Keywords: Torque Motor, 3D Analytical Equivalent Magnetic Circuit, Flux Leakage

3D Analytical Model of Servovalve Torque Motor Using Reluctance Network

Marion Ribout1,2, Jean-Francois Llibre1, Batoul Attar2, Carole Henaux3, Frederic Messine1

1LAPLACE, Université de Toulouse, CNRS, INPT, UPS, Toulouse, France; 2FACT, Fluid Actuation & Control Toulouse, L’Union, France; 3IES, Université de Montpellier, Montpellier, France

Electrohydraulic servovalves used in various aircraft systems (flight control system, auxiliary power unit, etc.) are a key element in fluid flow and pressure control. This paper presents a 3D analytical modelling method of the servovalves torque motor electromagnetic performance. This analytical model, based on a reluctance network, allows actuator performance to be quickly evaluated taking into account the complex 3D geometry and the high flux leakage rate.

PA-A3-5-294.pdf


ID: 107 / PA-A3: 6
Topics: Mathematical Modelling and Formulations
Keywords: MUltiple SIgnal Classification (MUSIC), Microwave imaging, Scattering parameter, Numerical simulation

On the Application of MUSIC Algorithm for Identifying Small Anomaly Without Background Information

Won-Kwang Park

Kookmin University, Korea, Republic of (South Korea)

Although MUltiple SIgnal Classification (MUSIC) has shown its feasibility as a non-iterative technique in microwave imaging for identifying small anomalies, a priori information of background medium such as permittivity, conductivity, etc., must be known. In this contribution, we apply MUSIC when material properties of the background are unknown and theoretically explain why inaccurate results are appear. Simulation results using synthetic data are exhibited to support theoretical result.

PA-A3-6-107.pdf


ID: 111 / PA-A3: 7
Topics: Mathematical Modelling and Formulations, Novel Computational Methods for Machines and Devices
Keywords: Eddy Current Losses, Synchronous Machines, Permanent Magnets

Study of Topology Dependent Eddy Current Losses in Buried Permanent Magnets in Synchronous Machines

Alexander Kern, Fabian Müller, Kay Hameyer

RWTH Aachen University, Germany

The penetration of a time-varying magnetic field in electrically conductive buried permanent magnets of synchronous machines induces a current density which in turn leads to an additional loss power and a potential heat source. The enclosing rotor steel laminations do not shield the permanent magnets due to their too low conductivity and permeability. The amplitude of the magnetic flux density pulsations depends on the specific toplogy of the electrical machine. The accurate calculation of the eddy current losses holds a large computational effort. However, the evaluation of the frequency distribution of occuring flux density pulsations is an efficient approach to study the presence of eddy current losses qualitatively. The aim of this work is to study flux density pulsations as a measure for the related eddy current losses for different arrangements of permanent magnets in the rotor and their vicinity towards the air gap.

PA-A3-7-111.pdf


ID: 299 / PA-A3: 8
Topics: Static and Quasi-Static Fields, Mathematical Modelling and Formulations, Multi-Scale Modelling and Homogenization
Keywords: algebraic formulation, multi-scale, stream func- tion, superconductive tapes

Magneto-quasi Static Computation of Superconductive Tapes with A − ψ Algebraic Formulation

Fabio Freschi, Laura Savoldi, Sofia Viarengo

Politecnico di Torino, Department of Energy "Galileo Ferraris", Italy

The study of superconductive tapes requires special- ized formulations in order to account for the high aspect ratio of the tapes as well as the extremely high conductivity of the superconductive layer. This papers presents a new formulation coupling the line integral of the magnetic vector potential defined in the whole domain and the stream function defined on the nodes of the superconductive layer.

PA-A3-8-299.pdf


ID: 250 / PA-A3: 9
Topics: Mathematical Modelling and Formulations, Numerical Techniques, Novel Computational Methods for Machines and Devices
Keywords: Non-linear operation, Finite element analysis, Reluctance machine

Consistent Co-energy-based Torque Calculation Method of SynRM

Vilmos Paiss1, Richárd Csaba Kovács1, Mihály Katona1,2, Attila Geleta1

1Robert Bosch Kft. Budapest, Hungary; 2Department of Power Electronics and Electric Drives, Széchenyi István University, Egyetem tér 1., H-9026 Győr,

Permanent magnet-free electrical machines like synchronous reluctance motors (SynRM) are becoming more popular for financial and environmental reasons. The SynRMs are operated at a heavily non-linear state; thus, the linearisation used for the representation in direct (d) and quadrature (q) coordinate system yield inaccurate results. An effective current injection control algorithm can decrease the torque ripple and vibration and improve the power factor of SynRM. The differential inductance values are required to extend the algorithm to the non-linear domain. This paper defines the resolution of these inductance maps along their parameters by a co-energy-based force calculation for constant current and extends to the synchronous operation mode. The expected outcome is a direct torque-current relation for non-linear saturated machines, such as synchronous reluctance motors, calculated by Finite Element Analysis. The additional benefits are more accurate torque calculation with faster computational speed.

PA-A3-9-250.pdf


ID: 565 / PA-A3: 10
Topics: Mathematical Modelling and Formulations, Numerical Techniques, Software Methodology, Multi-Physics and Coupled Problems
Keywords: Correlation, Cause Effect analysis, Digital Twins, Reduced order systems, Electromagnetic Fields

Characterizing the Performance of Field Computation and System Analysis by Causal Correlation Fingerprinting for Digital Twins

Aron Szucs1,2

1ABB Motion, Finland; 2University of Pécs, Hungary

Digitalization is a major driving force behind the development of new calculation methods. Computationally efficient digital twins are often created by reducing the complexity of existing models – such as numerical electromagnetic field analysis – for a certain narrow target area. Mapping the causal correlations during the complex modeling – in the field computation and coupled problems – and maintaining and verifying the causal correlations during the model reduction process is of paramount importance. The proposed Causal Correlation Fingerprinting is the graphical representation of the correlation matrix from Uncertainty Quantification and the Causality Analysis of the resulting dataset to focus it on the causally relevant data. The paper presents this powerful visual tool and how it is capable to characterize the behavior of “black box type” numerical and simplified models qualitatively. It allows easy interpretation and deeper insight and enables a straightforward comparison of complex and simplified models as it is demonstrated in the paper.

PA-A3-10-565.pdf


ID: 327 / PA-A3: 11
Topics: Quantum and Quantum-Inspired Computing in Electromagnetics
Keywords: Genetic algorithms, quantum annealing, response surface, machine learning.

Topology Optimization Method for Electrical Machines Using QUBO-type Response Surface and Quantum Annealing

Yuki Hidaka1, Takeki Miyamura2, Takahiro Sato3, Kengo Sugahara2

1Department of Electrical, Electronic and Information Engineering, Nagaoka University of Technology, Japan; 2Faculty of Science and Engineering, Kindai University, Japan; 3Muroran Institute of Technology, Japan

This paper presents a novel topology optimization method for electrical machines, where a QUBO-type surrogate model is constructed using analytical data obtained offline. Moreover, quantum annealing is utilized to enhance the convergence of the optimization. Since the proposed method can be used to reduce the number of inferior solutions in the optimization, convergence of the optimization can be improved. In this study, the proposed method is applied to an optimization problem of the magnetic head to validate the effectiveness. From the numerical results, it can be confirmed that the proposed method can enhance convergence of optimization without increasing computational costs.

PA-A3-11-327.pdf