Eddy Current Computation in Translational Motion Conductive Plate of an Induction Heater With Consideration of Finite Length Extremity Effects

Messadi, M.; Hadjout, Larbi; Ouazir, Youcef; Bensaidane, H.; Lubin, Thierry; Mezani, Smaïl; Rezzoug, A.; Takorabet, Noureddine

doi:10.1109/tmag.2015.2498762

Cited by 10 publications

(10 citation statements)

References 10 publications

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“…When evaluating the distribution of eddy currents in the segments of ferromagnetic strips, both the electric and magnetic fields are required. In regions without eddy current, only the magnetic field needs to be considered [14]. A formulation known as A, V -A may be used using the magnetic vector potential A and the electric scalar potential V [15]- [17].…”

Section: A the Evaluation Of Magnetic Force Between The Magnetic Curmentioning

confidence: 99%

A Study on the Detachment Characteristics of the Tramwave Catenary-Free Electrification System for Urban Traffic

Xiao

Zhang

Luo

et al. 2020

IEEE Trans. Plasma Sci.

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The Tramwave Catenary-free System (TCS)-a novel type of electrified transit system for urban railwaysreceives traction energy from a flexible ground-embedded ferromagnetic strip, which is energized only if a corresponding segment is located underneath the vehicle body. The current collector in the TCS is equipped with an 'I-shaped' permanent magnet combination that produces a lifting force on the flexible ferromagnetic strips with octopus-shaped copper sheets located on the surface of the strips underneath the ground. The vehicle's high-voltage circuit conducts when an electrical contact is maintained by the attractive force of the permanent magnet combination mounted inside the magnetic current collector. However, it has recently been observed that due to the dynamic processes during the electrical contact a severe electrochemical corrosion may occur on the surface of the octopus-shaped copper sheets, which can jeopardize the safe operation of the whole electrified transit system of trams. In order to identify the origins of this electrochemical corrosion, the dynamic characteristics of the TCS have been evaluated with particular attention paid to the impact of eddy currents on the attractive force of the permanent magnet combination under variable operational velocities of vehicles. Based on the dynamic characteristics of TCS, the arc erosion process on the surface of the copper sheet has been reproduced using an arc-discharge experimental platform and the causes of electrochemical corrosion in the TCS have been found. The damage development trendsunder increasing speeds of tramsevaluated by the dynamic model of the TCS are consistent with the statistical data for practical damage situations.

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Section: A the Evaluation Of Magnetic Force Between The Magnetic Curmentioning

confidence: 99%

A Study on the Detachment Characteristics of the Tramwave Catenary-Free Electrification System for Urban Traffic

Xiao

Zhang

Luo

et al. 2020

IEEE Trans. Plasma Sci.

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“…To take into account the boundary conditions at the interfaces between the air gap and the ferromagnetic yokes, the images method is used [10], [15], [18]. The principle consists replace the effects of a ferromagnetic plane by equivalent magnetic charges behind the plane; the desired field is then obtained by the superposition of the applied charges and its images.…”

Section: A Magnetic Flux Densitymentioning

confidence: 99%

“…The axial force is derived from the integration of the Maxwell stress tensor on a surface located at the middle of the air gap versus the load angle. His expression is as follows: (10) with where, and are the magnetic flux density due to the first and the second inductor magnets, respectively.…”

Section: B Forces Expressionsmentioning

confidence: 99%

3D Analytical Computation of the Torque in Axial Flux Permanent Magnets Couplings Based on Charges Model and Images Method

Messadi

Hadjout

Ouazir

et al. 2018

2018 International Conference on Electrical Sciences and Technologies in Maghreb (CISTEM)

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This paper presents a simple and accurate 3D analytical expressions to compute the force and torque of an axial flux magnetic couplings (AFMC) based on the equivalent magnetic charges and the images method. The proposed model is formulated and solved in a 3D Cartesian coordinate system by considering the assumption of linearization around the mean radius. Firstly, the magnetic flux density due to the cubic permanent magnets (PM), of one side of the magnetic coupling, is computed in 3D considering the magnetic end effects where the iron yokes influence is considered thanks to the images method. Secondly, the force and the torque among the magnets located in the opposite sides are obtained using the analogy between the electrostatic and magnetostatic forces. The derived analytical expressions depend directly on the geometrical and physical parameters of the AFMC. The analytical results are compared to those obtained with finite element simulation and experimental measurements.

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“…These devices are applications of Lenz's Law and Joule Effect. The conducting object can be exposed to a variable magnetic field produced by AC winding (V. Rudnev & al., 2003;Lubin & al., 2009), or moved in a static magnetic field (Messadi & al., 2016;Fabbri & al., 2005;Mach & al., 2014).…”

Section: Introductionmentioning

confidence: 99%

“…It is composed of two permanent magnets (PM) inductors with quasi Halbach magnetization arrangement. A conducting plate subjected to a linear oscillatory motion is placed between these two inductors (Messadi & al., 2016). The geometric parameters of the studied device are given in the Table. I. Geometry of the studied device.…”

Section: Introductionmentioning

confidence: 99%

Improved 3D electromagnetic analytical model for planar induction heater with consideration of transverse edge effects

Messadi

Hadjout

Ouazir

et al. 2020

COMPEL

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Purpose This paper aims to propose a new 3D electromagnetic model to compute translational motion eddy current in the conducting plate of a novel linear permanent magnet (PM) induction heater. The movement of the plate in a DC magnetic field created by a PM inductor generates induced currents that are at the origin of a heating power by Joule effect. These topologies have strong magnetic end effects. The analytical model developed in this work takes into account the finite length extremity effects of the conducting plate and the reaction field because of induced currents. Design/methodology/approach The developed model is based on the combination of the sub-domain’s method and the image’s theory. First, the magnetic field expressions because of the PMs are obtained by solving the three-dimensional Maxwell equations by the method of separation of variables, using a magnetic scalar potential formulation and a magnetic field strength formulation. Then, the motional eddy currents are computed using the Ampere law, and the finite length extremity effects of the conducting plate are taken into account using the image’s method. To analyze the accuracy of the proposed model, the obtained results are compared to those obtained from 3D finite element model (FEM) and from experimental tests performed on a prototype. Findings The results show that the developed analytical model is very accurate, even for geometries where the edge effects are very strong. It allows directly taking into account the finite length extremity effects (the transverse edge effects) of the conducting plate and the reaction field because of induced currents without the need of any correction factor. The proposed model also presents an important reduction in computation time compared to 3D finite element simulation, allowing fast analysis of linear PM induction heater. Practical implications The proposed electromagnetic analytical model can be used as a quick and accurate design tool for translational motion PM induction heater devices. Originality/value A new 3D analytical electromagnetic model, to find the induced power in the conducting plate of a novel translational motion induction heater has been developed. The studied heating device has a finite length and a finite width, which create edge effects that are not easily considered in calculation. The novelty of the presented method is the accurate 3D analytical model, which allows finding the real power heating and real distribution of the induced currents in the conducting plate without the need to use correction factor. The proposed model also takes into account the reaction field because of induced currents. In addition, the developed model improves an important reduction in the computation time compared with 3D FEM simulation.

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Eddy Current Computation in Translational Motion Conductive Plate of an Induction Heater With Consideration of Finite Length Extremity Effects

Cited by 10 publications

References 10 publications

A Study on the Detachment Characteristics of the Tramwave Catenary-Free Electrification System for Urban Traffic

A Study on the Detachment Characteristics of the Tramwave Catenary-Free Electrification System for Urban Traffic

3D Analytical Computation of the Torque in Axial Flux Permanent Magnets Couplings Based on Charges Model and Images Method

Improved 3D electromagnetic analytical model for planar induction heater with consideration of transverse edge effects

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