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Advancements in the identification of passive R C networks for compact modeling of thermal effects in electronic devices and systems
Author(s) -
De Tommasi L.,
Magnani A.,
Magistris M.
Publication year - 2017
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.2296
Subject(s) - eigenvalues and eigenvectors , identification (biology) , nonlinear system , a priori and a posteriori , computer science , convex optimization , system identification , algorithm , mathematical optimization , mathematics , control theory (sociology) , regular polygon , data modeling , philosophy , botany , physics , geometry , control (management) , epistemology , quantum mechanics , database , artificial intelligence , biology
We deal with the problem of identifying the parameters of an equivalent lumped R C multiport network from time domain tabulated data of a corresponding distributed real eigenvalues problem, as obtained from either measurements or accurate simulation tools. A novel step response matrix identification procedure is proposed, based on the combination of an outer nonlinear least squares iteration for the relocation of time constants, and an inner convex programming cycle for the identification of the corresponding residue matrix terms, able to guarantee a priori the passivity property of the equivalent R C network. The structure of the algorithm and its principal functions connections are shown, and the mathematical features of the proposed formulation of the identification problem are accurately described and commented. Moreover, the possibility of getting direct synthesis of a Foster generalized concretely passive multiport, as a consequence of the optimal identification of a passive real eigenvalues model from data, is discussed. Since the technique is well suited (although not limited) to the reduced analysis of typical electro‐thermal problems, a set of significant case studies in this area is considered. In this way the algorithm present implementation is validated, also comparing it to previous well assessed methods, evidencing its large potential and value.