@Article{cmes.2021.016784,
AUTHOR = {Loc Vu-Quoc, Yuhu Zhai and Khai D. T. Ngo},
TITLE = {Model Reduction by Generalized Falk Method for Efficient Field-Circuit Simulations},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {129},
YEAR = {2021},
NUMBER = {3},
PAGES = {1441--1486},
URL = {http://www.techscience.com/CMES/v129n3/45696},
ISSN = {1526-1506},
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 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.},
DOI = {10.32604/cmes.2021.016784}
}