Equivalent-Circuit Generation From Finite-Element Solution Using Proper Orthogonal Decomposition

Shimotani, Toshihito; Sato, Yuki; Igarashi, Hajime

doi:10.1109/tmag.2015.2482540

Cited by 20 publications

(16 citation statements)

References 11 publications

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“…In both methods, to construct X, we take s snapshots at equal intervals over the whole frequency range of the interest. In the fitting-based method, then solve (8) and (9) at 11frequency points, f = 1, 100, … , 10 3 Hz, for fitting of the frequency characteristics. Table.2 that in proposed method the errors are greatly improved as q increases.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The transfer function corresponds to the admittance Y=I/V function when the input and output are set to the voltage and current. From (8) and (9) The real and imaginary parts of the denominator of (14) correspond to Rk and Lk for the Foster circuit shown in Fig. 1.…”

Section: Proposed Methodsmentioning

confidence: 99%

“…They are illustrated in Fig.1. In the first method proposed in [8], the circuit parameters in the Foster circuit are determined by optimization algorithm so that the frequency characteristics of the circuit are fitted to those obtained by solving (8) and (9). In contrast, the proposed method directly determines the Foster circuit from the transfer function of the reduced system.…”

Section: Synthesis Of Equivalent Circuitsmentioning

confidence: 99%

“…The authors have employed POD to realize a fast frequency sweep for synthesis of equivalent circuits [8]. In this method, the circuit parameters are determined using real coded genetic algorithm (RGA) so that the frequency characteristics of the equivalent circuit are sufficiently fit to those computed from FEM.…”

Section: Introductionmentioning

confidence: 99%

“…We compare the numerical performance of the proposed method with that of the fitting-based method [8].…”

Section: Introductionmentioning

confidence: 99%

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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%

Section: Proposed Methodsmentioning

confidence: 99%