Modelling of three-dimensional nonlinear eddy current problems with conductors in motion by an integral formulation

Abstract

In this paper an integral formulation for the analysis of electromagnetic fields distribution in systems with bodies in motion is presented. This formulation is Based on the subdivision of conductive and ferromagnetic regions in elementary volumes in which a uniform distribution of current density J and magnetization M is assumed. By integrating in every volume Ohm's law in term of the magnetic vector potential produced by the conduction and magnetization currents we obtain an equivalent electric network whose lumped parameters vary during every time step interval as the moving parts of the system change their positions.The proposed model has been tested by comparison with andytienl solutions.

Numerical solution of eddy current problems in ferromagnetic bodies travelling in a transverse magnetic field

“…Because of convergence problems caused by the velocity term in the case of high-speed upwind elements [10], moving co-ordinate systems [11] or a surface impedance method [12] were introduced. The possibility of including magnetic materials has been discussed by several authors using di erent methods [2,6,7].…”

“…Two main classes of methods were proposed for the computation of the electromagnetic ÿeld in conducting bodies moving through a magnetic ÿeld: di erential [2][3][4][5] and integral [6,7] formulations. Also, hybrid formulations appeared, e.g.…”

Analysis of the Static and Dynamic Behavior of a Non Hysteretic Superconductive Passive Magnetic Linear Bearing by Using an Electromagnetic Integral Formulation

“…The numerical code used to simulate the system is based on a 3D integral formulation; it can simulate complex electromagnetic devices, transforming the solution of the field equations in the solution of an equivalent electric network [24,28]. In fact, the code allows to obtain a set of equations that can be seen as the equilibrium equations set of an equivalent electric network.…”

“…This code (hereafter referred to as "Equivalent Network for Electromagnetic Modeling -EN4EM" was developed in the past years at the University of Pisa for research purposes [24][25][26], and it is here adapted to deal with SML-based devices, dynamically operating with 6 DOF.…”

Applications of POD studies and robust design to electromagnetic NDE

“…The integral equation method has found some applications in modeling eddy current NDE [18][19][20][21]. The major advantage of IEM is that it does not need to divide free space into many elements except in structures.…”