Macromodel Generation for Hybrid Systems Consisting of Electromagnetic Systems and Lumped RLC Circuits Based on Model Order Reduction

Takayuki WATANABE  Hideki ASAI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E87-A   No.2   pp.398-405
Publication Date: 2004/02/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Analog Circuit Techniques and Related Topics)
circuit simulation,  model order reduction,  finite-difference frequency domain method,  efficient nodal order reduction,  

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This paper describes an efficient method for the macromodel generation of hybrid systems which are composed of electromagnetic systems and lumped RLC circuits. In our method, electromagnetic systems are formulated as finite-difference frequency-domain (FDFD) equations, and RLC circuits are formulated as nodal equations. Therefore, unlike the partial-element equivalent-circuit (PEEC) method, the technique presented here does not need any 3-dimensional capacitance and inductance parameter extractions to model interconnects, LSI packages and printed circuit boards. Also the lumped RLC elements can be easily included in the hybrid system of equations, thus it is convenient to model some passive components, such as bypass capacitors. The model order reduction technique is utilized in order to construct macromodels from hybrid system of equations. The accuracy of the proposed method is substantiated with some numerical examples.