Loc Vu-Quoc1,*, Yuhu Zhai2 and Khai D. T. Ngo3
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1441-1486, 2021, DOI:10.32604/cmes.2021.016784
Abstract 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 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 Pad´e-via-Lanczos (PVL) method, the GFM does not generate unstable positive poles while reducing the order
of circuit problems. Further, the proposed GFM is… More >
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