The aim of this paper is to give a unified comparison of non-overlapping domain decomposition methods for solving magnetic field problems. The methods under investigation are the Schur complement method and the Lagrange multiplier based finite element tearing and interconnecting method, and their solvers. The performance of these methods has been investigated in detail for two-dimensional magnetic field problems as case studies.
The paper deals with an eddy current field problem as a case study. The aim is to find the solution of the problem by the help of the Finite Element Method (FEM), and the
T, Φ, Φ
potential formulation taking the nonlinearity of the material into account. The effect of nonlinearity has been approximated with an inverse tangent type analytical model. The nonlinearity has been handled by the polarization method coupled with the Fixed-point iteration technique.
The paper deals with the analysis of the single-phase induction motor of Problem No. 30a of the COMPUMAG TEAM Workshop. The problem has been solved by the motional two-dimensional time-harmonic Finite Element Method (FEM) using different potential formulations, the
, -potential formulation and the
-potential formulation. Here the problem is a linear eddy current field problem.
The paper presents the numerical modeling of a Y-shaped three-pole radial magnetic bearing based on two-dimensional (2D) and three-dimensional (3D) magnetic field computation with nonlinear model of the material. The used numerical method is the Finite Element Method (FEM). The nonlinear system of equations according to the nonlinear characteristics of ferromagnetic material can be handled by the Newton-Raphson technique and by the fixed-point method.
The paper presents a parallel approach for the efficient solution of a simple 1D Laplace-Poisson equation problem by parallel finite element method. This problem is a case study. The non-overlapping domain decomposition method has been used to cut the problem into sub-regions or also called sub-domains, and it reduces the large mass matrix into smaller parts. The independent subdomains, and the assembling of these equation systems can be handled by the independent processors of a supercomputer, i.e. in a parallel way. The results of parallel finite element method have been compared to the results of serial finite element method as well as the analytical results.
This paper presents an axisymmetric formulation of the circuit-coupled finite element method embedded in closed loop control system. The controller checks the current of the coil of the magnetic system after each time step and controls the applied voltage to reach the steady state faster. The results of the voltage driven finite element model are compared with the results from the analytical model. The control parameters for the proportional-integral-derivative controller were estimated using the step response of the system. Furthermore, the results of the closed loop system simulation show why the model accuracy is important in the controller design.
This research presents a field-circuit coupled parallel finite element model of a switched reluctance motor embedded in a simple closed loop control system. The parallel numerical model is based on the Schur-complement method coupled with an iterative solver. The used control system is the rotor position based control, which is applied to the FEM model. The results and parallel performance of the voltage driven finite element model are compared with the results from the current driven model. Moreover, the results of the start-up of the loaded motor show why the model accuracy is important in the control loop.
Authors:Miklós Kuczmann, Tamás Budai, Gergely Kovács, Dániel Marcsa, Gergely Friedl, Péter Prukner, Tamás Unger and György Tomozi
In the frame of the project TÁMOP 4.2.2.A, at the Széchenyi István University, the goal is to work out a new finite element package for the simulation and optimization of permanent magnet synchronous motors. These motors are then used to drive new electric cars. The aim of the two dimensional package is the fast numerical modeling of these electric devices by the use of free tools presented in the paper. Of course, the software is aimed to use it in the simulation of other devices, and three dimensional problems, as well.