Model Reduction by Generalized Falk Method for Efficient Field-Circuit Simulations

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dc.contributor.authorLoc Vu-Quocen
dc.contributor.authorZhai, Yuhuen
dc.contributor.authorNgo, Khai D. T.en
dc.date.accessioned2022-03-22T17:08:26Zen
dc.date.available2022-03-22T17:08:26Zen
dc.date.issued2021-11-25en
dc.description.abstractThe Generalized Falk Method (GFM) for coordinate transformation, together with two model-reduction strategies based on this method, are presented for efficient coupled field-circuit simulations. Each model-reduction strategy is based on a decision to retain specific linearly-independent vectors, called trial vectors, to construct a vector basis for coordinate transformation. The reduced-order models are guaranteed to be stable and passive since the GFM is a congruence transformation of originally symmetric positive definite systems. We also show that, unlike the Pade-via-Lanczos (PVL) method, the GFM does not generate unstable positive poles while reducing the order of circuit problems. Further, the proposed GFM is also faster when compared to methods of the type Lanczos (or Krylov) that are already widely used in circuit simulations for electrothermal and electromagnetic problems. The concept of response participation factors is introduced for the selection of the trial vectors in the proposed model-reduction methods. Further, we present methods to develop simple equivalent circuit networks for the field component of the overall field-circuit system. The implementation of these equivalent circuit networks in circuit simulators is discussed. With the proposed model-reduction strategies, significant improvement on the efficiency of the generalized Falk method is illustrated for coupled field-circuit problems.en
dc.description.notesThe authors thank the research support of the National Science Foundation.en
dc.description.sponsorshipNational Science FoundationNational Science Foundation (NSF)en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.32604/cmes.2021.016784en
dc.identifier.eissn1526-1506en
dc.identifier.issn1526-1492en
dc.identifier.urihttp://hdl.handle.net/10919/109411en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectNonlinear circuitsen
dc.subjectpower electronicsen
dc.subjectIGBTen
dc.subjectMOSFETen
dc.subjectmodel-order reductionen
dc.subjectModelingen
dc.subjectmodule generationen
dc.subjectPower modeling and estimationen
dc.subjectelectrothermal simulationen
dc.titleModel Reduction by Generalized Falk Method for Efficient Field-Circuit Simulationsen
dc.title.serialCMES-Computer Modeling in Engineering & Sciencesen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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