scholarly journals Marching On-In-Time Unstructured PEEC Method for Electrically Large Structures with Conductive, Dielectric, and Magnetic Media

Electronics ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 242
Author(s):  
Riccardo Torchio ◽  
Dimitri Voltolina ◽  
Paolo Bettini ◽  
Federico Moro ◽  
Piergiorgio Alotto
Keyword(s):  
Computation Time ◽  
Industrial Test ◽  
Magnetic Media ◽  
Neutral Beam Injector ◽  
Transient Phenomena ◽  
Electromagnetic Problems ◽  
Inverse Discrete Fourier Transform ◽  
Electromagnetic Devices ◽  
Vector Potentials ◽  
Fusion Applications

The Marching On-In-Time (MOT) unstructured Partial Element Equivalent Circuit (PEEC) method for time domain electromagnetic problems is presented. The method allows the transient analysis of electrically large electromagnetic devices consisting of conductive, dielectric, and magnetic media coupled with external lumped circuits. By re-formulating PEEC following the Coulombian interpretation of magnetization phenomena and by using electric and magnetic vector potentials, the proposed approach allows for a completely equivalent treatment of electric and magnetic media and inhomogeneous and anisotropic materials are accounted for as well. With respect to the recently proposed Marching On-In-Time PEEC approach, based on the standard (structured) discretization of PEEC, the method presented in this paper uses a different space and time MOT discretization, which allows for a reduction in the number of the unknowns. Analytical and industrial test cases consisting in electrically large devices are considered (e.g., the model of a Neutral Beam Injector adopted in thermonuclear fusion applications). Results obtained from the simulations show that the proposed method is accurate and yields good performances. Moreover, when rich harmonic content transient phenomena are considered, the unstructured MOT–PEEC method allows for a significant reduction of the memory and computation time when compared to techniques based on Inverse Discrete Fourier Transform applied to the frequency domain unstructured PEEC approach.

An Enhanced Multigrid Method for Fast Numerical Computation of the Magnetic Vector Potential

2010 ◽  
Vol 670 ◽  
pp. 311-317
Author(s):  
T. Arudchelvam ◽  
D. Rodger ◽  
S.R.H. Hoole
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Vector Potential ◽  
Computation Time ◽  
Grid Method ◽  
Magnetic Vector Potential ◽  
The Finite Element Method ◽  
Magnetostatic Field ◽  
Electromagnetic Problems ◽  
Element Method

An enhanced multi-grid method eliminating the error correction process of the conventional multi-grid method is presented for solving Poissonian problems and tested on two simple two-dimensional magnetostatic field problems. The finite element method (FEM) was used to solve for the vector potential in a sequence of grids. The gains in computation time are shown to be immense compared to the standard multi-grid methods, especially as the matrix system grows in size. These gains are very useful in solving electromagnetic problems using the finite element method.

scholarly journals A Modified Shuffled Frog Leaping Algorithm for the Topology Optimization of Electromagnet Devices

2020 ◽  
Vol 10 (18) ◽  
pp. 6186
Author(s):  
Wenjia Yang ◽  
Siu Lau Ho ◽  
Weinong Fu
Keyword(s):  
Topology Optimization ◽  
Local Search ◽  
Three Dimensional ◽  
Optimization Method ◽  
Memetic Algorithms ◽  
Local Optimum ◽  
Shuffled Frog Leaping Algorithm ◽  
Electromagnetic Problems ◽  
Electromagnetic Devices ◽  
Shuffled Frog Leaping

The memetic algorithms which employ population information spreading mechanism have shown great potentials in solving complex three-dimensional black-box problems. In this paper, a newly developed memetic meta-heuristic optimization method, known as shuffled frog leaping algorithm (SFLA), is modified and applied to topology optimization of electromagnetic problems. Compared to the conventional SFLA, the proposed algorithm has an extra local search step, which allows it to escape from the local optimum, and hence avoid the problem of premature convergence to continue its search for more accurate results. To validate the performance of the proposed method, it was applied to solving the topology optimization of an interior permanent magnet motor. Two other EAs, namely the conventional SFLA and local-search genetic algorithm, were applied to study the same problem and their performances were compared with that of the proposed algorithm. The results indicate that the proposed algorithm has the best trade-off between the results of objective values and optimization time, and hence is more efficient in topology optimization of electromagnetic devices.

A FINITE ELEMENT METHOD FOR MODELING OF ELECTROMAGNETIC PROBLEMS

2020 ◽  
pp. 25-31
Author(s):  
Vuong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Magnetic Flux Density ◽  
Analytic Method ◽  
Electrical System ◽  
Electromagnetic Problems ◽  
Magnetic Circuits ◽  
Electromagnetic Devices ◽  
Electrical Devices ◽  
Element Method

Electromagnetic devices are present everywhere in our daily life. In particular, they extremely play an important role  in the fields of the electrical system. Therefore, the modeling and analyzing the electromagetic problems become currently a matter of concern and topicality for researchers and designers of electrical devices. This paper introduces a finite element method to compute accurate distributions of leakage and fringing fluxes with air-gap variations, and eddy current losses of the magnetic circuits, that cannot generally be solved by a direct analytic method. The method is approached for the magnetic flux density formulation.

Improving Zielke’s Method of Simulating Frequency-Dependent Friction in Laminar Liquid Pipe Flow

1991 ◽  
Vol 113 (4) ◽  
pp. 569-573 ◽  
Author(s):  
Katsumasa Suzuki ◽  
Takayuki Taketomi ◽  
Sanroku Sato
Keyword(s):  
Method Of Characteristics ◽  
Weighting Function ◽  
Block Diagram ◽  
Computation Time ◽  
Dimensionless Time ◽  
Frequency Dependent ◽  
Transient Phenomena ◽  
Computer Storage ◽  
Calculation Process ◽  
Visual Understanding

Zielke’s technique of using a method of characteristics to simulate transient phenomena of a liquid transmission line is accurate, easy to apply to complicated systems and therefore, frequently used. However, it requires a very large amount of computation time and computer storage to simulate frequency-dependent friction in a transient liquid flow. Searching for a way to counteract these disadvantages, the authors took note of the fact that the weighting function, which is the root of the above problems, is given by exponential functions or other functions depending on dimensionless time. In order to perform mathematically equivalent calculation without approximations, they have developed a new method which requires much less computation time and computer storage than Zielke’s method. The calculation process is shown by a block diagram to facilitate visual understanding of the method.

On the Use of Auxiliary Vector Potentials as a Common Tool for Studying Electromagnetic Problems at Undergraduate Level

2003 ◽  
Vol 40 (2) ◽  
pp. 123-129
Author(s):  
Miguel A. Solano ◽  
ÁAngel Vegas ◽  
ÁAlvaro Gómez
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
The Other ◽  
Undergraduate Level ◽  
Electromagnetic Problems ◽  
Vector Potentials ◽  
Large Groups

Applications of Maxwell's equations to electromagnetic problems can be divided into two large groups: one dealing with radiation and scattering and the other with propagation. In this paper it is shown how both kinds of problem can be managed by means of the auxiliary vector potentials [Formula: see text] and [Formula: see text].

scholarly journals Iron Losses in Electromagnetic Devices: Nonlinear Adaptive MEC & Dynamic Hysteresis Model

2017 ◽  
Author(s):  
Oualid Messal ◽  
Frédéric Dubas ◽  
Raouf Benlamine ◽  
Afef Kedous-Lebouc ◽  
Christian Chillet ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Computation Time ◽  
Magnetic Flux Density ◽  
Hysteresis Model ◽  
Electromagnetic Devices ◽  
Iron Losses ◽  
Radial Flux ◽  
Interior Permanent Magnet ◽  
Hybrid Fuel Cell Vehicles

In this paper, an original approach allowing the determination of the iron losses in the electromagnetic devices is presented. This new approach exploits the Loss Surface (LS) hysteresis model and the magnetic flux density waveforms resulting from a generalized nonlinear adaptive magnetic equivalent circuit (MEC) using a mesh-based formulation in two-dimensional (2-D) or quasi three-dimensional (3-D). The model coupling has been applied to a 18-slots/16-poles radial-flux interior permanent-magnet (PM) synchronous machine (PMSM) dedicated to automotive applications, mainly for electric/hybrid/fuel cell vehicles (EVs/HEVs/FCVs). The obtained results have been compared with those made retrospectively in the 2-D transient finite-element (FE) Flux. The influence of the MEC discretization on the iron loss calculation and the electromagnetic performances has been analyzed. The computation time is divided by 3/2 with an error less than 7 %.

Image Method With Distributed Multipole Models for Analyzing Permanent-Magnet-Based Electromagnetic Actuators

2008 ◽  
Author(s):  
Kok-Meng Lee ◽  
Hungsun Son ◽  
Kun Bai
Keyword(s):  
Permanent Magnets ◽  
Three Dimensional ◽  
Computation Time ◽  
Image Method ◽  
Maximum Torque ◽  
Electromagnetic Actuators ◽  
Maxwell Stress Tensor ◽  
Practical Applications ◽  
Electromagnetic Problems ◽  
Force Equation

Many high-torque electromagnetic problems involve solving three dimensional (3D) magnetic fields of the permanent magnets (PMs) and/or electromagnet magnets (EMs) in the presence of magnetically conducting surfaces. This paper extends the distributed multi-pole (DMP) method, which offers a means to present the three-dimensional magnetic field solution in closed form, to account for the effects of the magnetic conducting boundary using an image method. We validate the DMP/image method by comparing the torques calculated using the Lorentz force equation and Maxwell stress tensor against numerical results computed using a finite element method (FEM). While two methods agree to within 5% in maximum torque, the DMP/image method takes less than 1% of the FEM computation time. With the numerically validated torque computation, we demonstrate how the DMP/image method can be used to analyze designs of a spherical wheel motor as illustrative practical applications.

scholarly journals Augmented EFIE with Adaptive Cross Approximation Algorithm for Analysis of Electromagnetic Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
D. Z. Ding ◽  
Y. Shi ◽  
Z. N. Jiang ◽  
R. S. Chen
Keyword(s):  
Continuity Equation ◽  
Low Frequency ◽  
Computation Time ◽  
Charge Neutrality ◽  
Electric Field Integral Equation ◽  
Numerical Examples ◽  
Electromagnetic Problems ◽  
Adaptive Cross Approximation ◽  
Field Integral ◽  
Additional Charge

The augmented electric field integral equation (A-EFIE) with charge neutrality enforcement provides a stable formulation to conquer low-frequency breakdown characteristic of conventional EFIE. It is augmented with additional charge unknowns through current continuity equation. The A-EFIE combined with the multilevel adaptive cross-approximation (MLACA) algorithm is developed to further reduce the memory requirement and computation time for analyzing electromagnetic problems. Numerical examples are given to demonstrate the accuracy and efficiency of the proposed method.

scholarly journals Some remarks about flux linkage and inductance

2005 ◽  
Vol 2 ◽  
pp. 39-44 ◽  
Author(s):  
S. Kurz
Keyword(s):  
Circuit Simulation ◽  
Differential Forms ◽  
Nonlinear Behaviour ◽  
Magnetic Media ◽  
Flux Linkage ◽  
Circuit Element ◽  
Modern Language ◽  
Electromagnetic Devices ◽  
Increasing Demand ◽  
Field Device

Abstract. In the area of computational electromagnetics there is an increasing demand for various coupled simulations. One example is the coupling between field and circuit simulation for the description of electromagnetic devices. In the context of such couplings, theoretical questions arise as well. How can a field device be represented as an equivalent multiport circuit element? What is meant by flux linkage if the considered conductors are not filamentary? What is meant by inductance if the magnetic media exhibit nonlinear behaviour? These questions and their answers are not new. However, according to the author’s view, these issues are not sufficiently addressed in the usual textbooks. The aim of the paper is therefore to (hopefully) answer the questions concisely and correctly. The modern language of differential forms will be employed for this purpose.

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