Optimization of Inductors Using Evolutionary Algorithms and Its Experimental Validation

Watanabe, Kazuhiro; Campelo, Felipe; Iijima, Yosuke; Kawano, Kenji; Matsuo, Tetsuji; Mifune, Takashi; Igarashi, Hajime

doi:10.1109/tmag.2010.2044986

Cited by 66 publications

(35 citation statements)

References 6 publications

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“…2, which is a simplified model of a real inductor widely used in electric circuits whose cross-sectional picture can be found in [15]. The current is assumed to be uniform in the cross section of the coil.…”

Section: Numerical Resultsmentioning

confidence: 99%

Direct synthesis of equivalent circuits from reduced FE models using proper orthogonal decomposition

Shimotani

Sato

Igarashi

2016

COMPEL

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Purpose -This paper proposes a fast synthesis method of the equivalent circuits of electromagnetic devices using model order reduction. Finite element method (FEM) has been widely used to design electromagnetic devices. For FE analysis of these devices connected to control and deriving circuits, FE equations coupled with the circuit equations have to be solved for many times in their design processes. If the FE models are replaced by equivalent circuit models, computational time could be drastically reduced. Design/methodology/approach -In the proposed method, a reduced FE model is obtained using proper orthogonal decomposition (POD) in which the size of FE equation is effectively reduced so that the computational time for FE analysis is shortened. Then, the equivalent circuits are directly synthesized from the admittance function of the reduced system. Findings -Accuracy and computational efficiency of the proposed method are compared with those of another POD-based method in which the equivalent circuits are synthesized from fitting of frequency characteristics using optimization algorithm. There are no significant differences in the accuracy of both method, while the speed-up ratio of the former method is found larger than that for the latter method for the same sampling points. Originality/value -The equivalent circuits of electric machines and devices have been synthesized on the basis of physical insight of engineers. This paper proposes a novel method by which the equivalent circuits are automatically synthesized from finite element model of the electric machines and devices using POD.

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Section: Numerical Resultsmentioning

confidence: 99%

Direct synthesis of equivalent circuits from reduced FE models using proper orthogonal decomposition

Shimotani

Sato

Igarashi

2016

COMPEL

Self Cite

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“…In order to compute the properties of the magnetic devises, we solve the finite element equation given by b a  K (1) where K, a and b represent the finite element matrix, unknown vector potentials and source term.…”

Section: Optimization Methodsmentioning

confidence: 99%

“…If stagnation is observed in the optimization process, the individuals except for elite solution are reinitialized randomly [11]. Procedure of the μGA is summarized as follows: (1). Initial population is generated randomly which has Npop size.…”

Section: B Global Search Methodsmentioning

confidence: 99%

“…There are two approaches in the shape optimization, namely, parameter and topology optimizations. In the parameter optimization, device shapes are expressed in terms of geometric parameters and optimization is conducted by changing them [1]- [2]. On the other hand, the topology optimization seeks for the optimum solutions directly varying the material shapes without geometric parameters [3]- [5].…”

Section: Introductionmentioning

confidence: 99%

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Topology Optimization Method Based on On–Off Method and Level Set Approach

2014

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This paper proposes a two-step method for topology optimization, in which after global search is performed by the on-off method, and then local search is carried out by the level set approach. The genetic and gradient-based algorithms are employed for the former and latter optimizations, respectively. The present method is applied to two numerical examples; topology optimizations of a magnetic shield system and IPM-motor. It is shown that the present method can find solutions with better performances in comparison with the conventional on-off method.

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“…Three dimensional FE analysis is still time consuming although computer performance has been significantly improving. In particular, heavy computational burden in the three dimensional FE analysis causes serious problems when it is applied to optimizations [1][2][3]. It is, therefore, strongly required that the computational time for the FE analysis is reduced.…”

Section: Introductionmentioning

confidence: 99%

Model Reduction of Three-Dimensional Eddy Current Problems Based on the Method of Snapshots

Sato

Igarashi

2013

IEEE Trans. Magn.

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The model reduction based on the method of snapshots is applied to the finite element analysis of three dimensional transient eddy current problems. It is known that accuracy of the reduced model highly depends on the number of snapshots. In this paper, we introduce a novel method which determines the adequate number of snapshots automatically. It is shown that the computational time can be reduced when using the model reduction based on the present method.Index Terms-Model order reduction, method of snapshots, proper orthogonal decomposition, finite element method, eddy current problem.

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Optimization of Inductors Using Evolutionary Algorithms and Its Experimental Validation

Cited by 66 publications

References 6 publications

Direct synthesis of equivalent circuits from reduced FE models using proper orthogonal decomposition

Direct synthesis of equivalent circuits from reduced FE models using proper orthogonal decomposition

Topology Optimization Method Based on On–Off Method and Level Set Approach

Model Reduction of Three-Dimensional Eddy Current Problems Based on the Method of Snapshots

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