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Model Reduction by Generalized Falk Method for Efficient Dedicated to Professor Karl Stark Pister for his 95th birthday Field-Circuit Simulations

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Computer Modeling in Engineering & Sciences 2021年第12期129卷 1441-1486页

作者： Loc Vu-Quoc Yuhu Zhai Khai D.T.Ngo Aerospace Engineering University of Illinois at Urbana-ChampaignIllinois61801USA Princeton Plasma Physics Laboratory PrincetonNew Jersey08542-0451USA Electrical and Computer Engineering Virginia TechVirginia24061USA

The Generalized Falk Method(GFM)for coordinate transformation,together with two model-reduction strategies based on this method,are presented for efficient coupled field-circuit *** model-reduction strategy is based on a decision to retain specific linearly-independent vectors,called trial vectors,to construct a vector basis for coordinate *** reduced-order models are guaranteed to be stable and passive since the GFM is a congruence transformation of originally symmetric positive definite *** also show that,unlike the Pade-via-Lanczos(PVL)method,the GFM does not generate unstable positive poles while reducing the order´of circuit ***,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 *** concept of response participation factors is introduced for the selection of the trial vectors in the proposed model-reduction ***,we present methods to develop simple equivalent circuit networks for the field component of the overall field-circuit *** implementation of these equivalent circuit networks in circuit simulators is *** the proposed model-reduction strategies,significant improvement on the efficiency of the generalized Falk method is illustrated for coupled field-circuit problems.

关键词： Nonlinear circuits power electronics IGBT MOSFET model-order reduction modeling module generation power modeling and estimation electrothermal simulation

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