A Finite-Element-Based Domain Decomposition Method for Efficient Simulation of Nonlinear Electromechanical Problems

Yao, Wang; Jin, Jian‐Ming; Krein, P.T.; Magill, Matthew P.

doi:10.1109/tec.2014.2303987

Cited by 12 publications

(9 citation statements)

References 34 publications

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“…The Finite-element (FE) method is so far the preferred method of analysis. Indeed, it leads to accurate results taking into account the non-linearity of magnetic materials and the actual coupler geometry [2][3][4]. The main drawback of FE methods is the long computation time and the lack of flexibility.…”

Section: Introductionmentioning

confidence: 99%

A New Analytical Torque Formula for Axial Field Permanent Magnets Coupling

Dolisy

Mezani

Lubin

et al. 2015

IEEE Trans. Energy Convers.

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In this paper, we present a simple and accurate analytical expression to compute the torque of axial-field magnetic couplings. The torque expression is obtained by solving the three-dimensional (3D) Maxwell equations by the method of separation of variables. Here we adopt the assumption of linearization at the mean radius, the problem is then solved in 3D Cartesian coordinate (we neglect the curvature effects). To show the accuracy of the torque formula, the results are compared with those obtained with 3D finite-element simulations, and experimental tests. As the proposed formula needs very low computational time and depends directly on the geometrical parameters, it is used for a design optimization using multiobjective genetic algorithms.

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Section: Introductionmentioning

confidence: 99%

A New Analytical Torque Formula for Axial Field Permanent Magnets Coupling

Dolisy

Mezani

Lubin

et al. 2015

IEEE Trans. Energy Convers.

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“…Nevertheless, the computation time of FEM within control loop is far longer than simulating with a state space model, because of the large sparse system of equations. There is an obvious solution to this problem, namely the parallelization of finite element method [6], [7], [11], [12], [13] in order to speed-up the computations. One of the possibilities is the Domain Decomposition Method (DDM) [6], [7], [13], [14], [15], [16], [17].…”

Section: Fig 1 Block Diagram Of the Switched Reluctance Drive Systemmentioning

confidence: 99%

“…There is an obvious solution to this problem, namely the parallelization of finite element method [6], [7], [11], [12], [13] in order to speed-up the computations. One of the possibilities is the Domain Decomposition Method (DDM) [6], [7], [13], [14], [15], [16], [17]. The used DDM is the Schur-complement method [13], [14], [15] with the parallel preconditioned conjugate gradient method [13], [14], which is currently one of the most popular methods for systems with real symmetric positive definite matrices.…”

Section: Fig 1 Block Diagram Of the Switched Reluctance Drive Systemmentioning

confidence: 99%

“…The switched reluctance motor has been modelled by the time-stepping parallel finite element method. The FEM formulation relies in a direct coupling between magnetic field, driving circuit and mechanical oscillation equations yielding a complete description of the state of the motor at every time instance during the numerical simulation [3], [5], [6], [7], [9].…”

Section: Parallel Finite Element Model Of the Motormentioning

confidence: 99%

“…But only the finite element method in itself is not enough for this electro-magneto-mechanical coupled system. Modelling of physical behavior of the electromechanical devices is a very complex task, because electromagnetic field has strong interaction with other physical fields and external circuits [3], [5], [6], [7].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Finite element analysis of switched reluctance motor with rotor position based control

Marcsa¹,

Kuczmann²

2016

Pollack Periodica

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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.

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A 3D finite element analysis of large‐scale nonlinear dynamic electromagnetic problems by harmonic balancing and domain decomposition

Yao

Jin

Krein

2015

Int J Numerical Modelling

Self Cite

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The dual–primal finite element tearing and interconnecting (FETI‐DP) method is applied together with the harmonic balance method and the fixed‐point (FP) method to improve the efficiency of three‐dimensional finite element analysis of large‐scale nonlinear dynamic electromagnetic problems. The FETI‐DP method decomposes the original problem into smaller subdomains problems. Combined with parallel computing techniques, the total computation time can be reduced significantly. To account for nonlinear B‐H characteristics, the FP method is applied together with the polarization formulation. Because the FP method assumes a constant reluctivity, it decouples the systems of different harmonics. The FETI‐DP method can then be applied to speed up the simulation of each harmonic in each FP iteration. Two benchmark problems and a three‐phase inductor are simulated by the proposed method to validate the formulation and demonstrate its performance. Copyright © 2015 John Wiley & Sons, Ltd.

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A Finite-Element-Based Domain Decomposition Method for Efficient Simulation of Nonlinear Electromechanical Problems

Cited by 12 publications

References 34 publications

A New Analytical Torque Formula for Axial Field Permanent Magnets Coupling

A New Analytical Torque Formula for Axial Field Permanent Magnets Coupling

Finite element analysis of switched reluctance motor with rotor position based control

A 3D finite element analysis of large‐scale nonlinear dynamic electromagnetic problems by harmonic balancing and domain decomposition

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