NDLI: Subgradient Techniques for Passivity Enforcement of Linear Device and Interconnect Macromodels

Content Provider	IEEE Xplore Digital Library
Author	Calafiore, G.C. Chinea, A. Grivet-Talocia, S.
Copyright Year	1963
Abstract	This paper presents a class of nonsmooth convex optimization methods for the passivity enforcement of reduced-order macromodels of electrical interconnects, packages, and linear passive devices. Model passivity can be lost during model extraction or identification from numerical field solutions or direct measurements. Nonpassive models may cause instabilities in transient system-level simulation, therefore a suitable postprocessing is necessary in order to eliminate any passivity violations. Different from leading numerical schemes on the subject, passivity enforcement is formulated here as a direct frequency-domain H_∞ norm minimization through perturbation of the model state-space parameters. Since the dependence of this norm on the parameters is nonsmooth, but continuous and convex, we resort to the use of subdifferentials and subgradients, which are used to devise two different algorithms. We provide a theoretical proof of the global optimality for the solution computed via both schemes. Numerical results confirm that these algorithms achieve the global optimum in a finite number of iterations within a prescribed accuracy level.
Sponsorship	IEEE Microwave Theory and Techniques Society
Starting Page	2990
Ending Page	3003
Page Count	14
File Size	3890721
File Format	PDF
ISSN	00189480
Volume Number	60
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-10-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Numerical models Computational modeling Convex functions Optimization Least squares approximation Vectors subgradient techniques Convex optimization linear macromodeling nonsmooth optimization passivity
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering Radiation

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