Conference Agenda
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TP3A: Static & Quasi-Static Fields #1
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Numerical Analysis of Grounding Systems with Counterpoise Wires Using IEFGM Meshless Method CEFET-MG, Brazil This study performs a numerical analysis of an electrical grounding system comprising Counterpoise Grounding Wires buried in homogeneous soil and subjected to surge currents under low-frequency conditions. Since traditional mesh-based methods encounter significant computational challenges when modeling 3D systems, the adoption of the Interpolant Element-Free Galerkin Method (IEFGM), a meshless approach is proposed. The proposed solution incorporates innovative strategies, including domain size reduction and optimized node distribution, to enhance computational efficiency. Furthermore, a novel mathematical formulation for direct surge current injection improves both the accuracy and the realism of the analysis. Numerical results obtained validate the proposed approach, demonstrating its potential for the analysis of large-scale three-dimensional problems.
Slot Effects in 2D Axial Flux motors via Conformal Mapping University of Pisa, Italy This paper investigates the magnetic field distribution in the air gap of a single-stator, single-rotor axial flux permanent magnet(AFPM) machine. The analysis simplifies the system by linearizing the device at the machine’s mean radius. A quasi-static analytical no-load model is developed using the Fourier series method to evaluate the magnetic field generated by a traditional North-South array.Furthermore, the influence of slotting effects on the magnetic field waveform is analyzed by implementing the Schwarz-Christoffel conformal transformation. This approach provides a systematic methodology to quantify and assess the distortions caused by slotting, contributing to a more accurate characterization of the phenomena within the context of AFPM machines.
Inductance Computation of Submarine Three-Core Cables Based on the Partial Element Equivalent Circuit Method 1Politecnico di Milano, Italy; 2Prysmian S.p.A., Italy The per-unit-length series inductance of three-core submarine cables is an important parameter for network analysis and cable design. Starting from an existing Partial Element Equivalent Circuit formulation, an efficient approach is proposed for the computation of this important parameter. The results obtained are compared with those of an FEM reference model.
Analytical Formulation for Eddy Current Losses in Conducting Plates under Normal Magnetic Field Excitation 1MVLS, University of Glasgow, Scotland; 2Department of Electrical Engineering, IIT Bombay, Mumbai, India; 3Magnetic and Electromagnetic Consultant, Norwalk, CT, USA; 4Department of Electrical, Electronics and Communication Engineering, IIT Dharwad, Dharwad, India This work presents an analytical formula derived from Maxwell’s equations for calculating eddy current losses induced in conducting plates under a normal (radial) magnetic field excitation. The formula is validated using three-dimensional (3-D) finite element (FE) simulations for a normal magnetic field excitation and different materials utilized in structural and shielding parts. The novelty of this work includes consideration of the eddy current reaction field in the analytical formulation. Further, the proposed expression and the classical eddy current loss formula are used to calculate eddy losses due to magnetic fields with tangential and normal components.
Periodic Boundary Conditions in Vector Nodal Meshless Method 1Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, Brazil; 2Federal Institute of Minas Gerais, IFMG – Campus Ibirité, Brazil; 3Department of Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte, Brazil; 4Electrical Engineering Postgraduate Program - CEFET-MG – UFSJ, Minas Gerais, Brazil; 5Electrical Engineering Laboratory of Grenoble – G2ELAB, Grenoble, France The purpose of this paper is to introduce the periodic boundary conditions in the Vector Nodal Meshless Method (VNMM). The VNMM constructs its approximations using shape functions based on the 𝑯(𝒄𝒖𝒓𝒍) space and its projection verifies the delta Kronecker property such that the imposition of the periodic boundary conditions can be easily done. However, the imposition of the periodic condition in vector nodal modeling is different from that one well known in the scalar nodal analyses due to the vector nature of the problem. So, in this work a new approach which can take into account the vector nature of the functions and based in edge elements concept is proposed. The periodic boundary conditions allow take account the periodic symmetry of the electromagnetic devices in order to reduce the study domain. For validation, the TEAM 13 problem is solved with and a good performance of the VNMM is observed.
Applying FEM-DBCI to 3D Skin Effect Problems University of Catania, Italy This paper describes how the hybrid FEM-DBCI method can be used to solve time-harmonic skin effect problems in three-dimensions. The domain of analysis is partitioned into two subdomains: conductors and free space. The conductors are meshed by means of tetrahedral edge elements and the electrical field is assumed as unknown. The free space is truncated by means of a fictitious boundary and is meshed by means of tetrahedral nodal elements where the reduced magnetic potential is the relative unknown. The two domains are treated separately by two FEM analyses which are applied alternatively in an iterative scheme.
The Kernel Method for the inverse obstacle problem 1Università degli Studi di Cassino e del Lazio Meridionale, Italy; 2Michigan State University, East Lansing, USA. In this contribution a new real-time imaging method for the solution of the inverse obstacle problem is proposed. The method has its roots in some peculiar properties of the Neumann-to-Dirichlet operator representing the boundary measurements, recasting theoriginal problem in the form of evaluating eingenpairs of a proper boundary operator. The method has a very simple and stable numerical implementation and exhibits good perfomance in the presence of a realistic noise level.
2.5D Modeling of Twisted Submarine Cable Universidade de São Paulo, Brazil Submarine power cables exhibit complex geometries designed to minimize electromagnetic losses, particularly through the counter-helical arrangement of core conductors and armor wires. Traditional standards, such as the IEC, often overestimate these losses, necessitating more precise modeling techniques. This paper introduces a novel 2.5D finite element method (FEM) model for analyzing the electromagnetic field profile and accurately estimating losses in submarine cables
Simulation Methodology for Transformers: Accuracy and Characteristic Analysis in Low-Frequency Wireless Power Transmission Federal Center for Technological Education of Minas Gerais, Brazil This work presents a novel circuit simulation method for transformers, aiming to achieve greater accuracy in their operation. This approach enables the electrical analysis of devices used in low-frequency wireless power transmission, accounting for specific characteristics such as large air gaps and eccentric geometries. By combining data from transformer tests with computationally generated information, the elements of the equivalent transformer circuit can be calculated iteratively, allowing the electrical state of the transformer to be determined at various time steps. The methodology behind this simulations is exposed and its limitations discussed.
A Methodology of Evaluation the Magnetic Vector Potential Around the Transmission Lines Using FEM and Adjoint Sensitivity 1CEFET-MG, Brazil; 2UFMG, Brazil In this paper, a new methodology is proposed for the sensitivity analysis of the magnetic vector potential near the transmission lines and the associated magnetic flux density. This potential is modeled using the finite element method and the adjoint method, which is concerned with the geometric positions of the cables. Methods based on gradient information have been used for this sensitivity of the objective function during the optimization process with reduced computational efforts. The adjoint sensitivity is not dependent on the number of interesting design variables. The numeric model of the transmission lines can be adopted during the optimization process without compromising the required computational processing time using the adjoint method. This new approach based on adjoint sensitivity of the magnetic vector potential near the overhead transmission lines can achieve new geometries with high surge impedance loading (HSIL)
An Effective Material Approach for a Time Commuting Magnetic Field Problem Technische Universität Wien, Austria In this work the simulation of a time-commuting magnetic field in a laminated core is considered. For instance, the rotor of a synchronous machine is exposed to such a field during a disturbed operation. To avoid expensive computations of 3D eddy current problems of slice models with a nonlinear material a suitable effective material is introduced. With this effective material equivalent static magnetic field problems can efficiently be solved in 2D finite element models. Here, the effective material is determined by solving suitable cell problems for the case of a time-commuting magnetic field. The method with the effective material is very efficient and accurate compared to the eddy current problem as shown by numerical simulations.
Hybrid Multi-Objective Optimization of Overhead Power Lines using Boundary Elements, Genetic Algorithm and Goal Attainment Method 1CEFET-UFSJ, Brazil; 2UFMG, Brazil This paper proposes a numerical approach aimed at reducing the fields generated by overhead power lines. The methodology combines the boundary element method for field evaluation with a multi-objective hybrid algorithm for field optimization, while ensuring compliance with critical non-linear design and safety constraints. The goal is to determine optimal configurations for the phase conductors that reduce electric field intensities at the conductor surface and minimize field magnitudes at ground level. The key innovation is the hybrid optimization approach, which combines an enhanced elitist genetic algorithm with the goal attainment method to navigate the multiple objectives and their constraints. A further unique aspect of this work is the minimization of the electric field at the conductor surface as one of the explicit optimization objectives. The resulting optimized configurations demonstrate reductions in field magnitudes without violating any specified constraints. Moreover, the hybrid approach outperforms the enhanced multiobjective algorithm, offering improved computational efficiency.
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