Enforcing Passivity for Admittance Matrices Approximated by Rational Functions

By Bjrn Gustavsen, A. Semlyen. IEEE Power Engineering Review, 2001

455 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Electrical and Electronic Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/d12df364cd7906504462b4b9d9a11dd4da98f3ad

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In Astronomy and Astrophysics

In Electrical and Electronic Engineering

In Materials Chemistry

Citations in the corpus

On the generation of large passive macromodels for complex interconnect structures (2006, unknown): “A similar correction strategy can be found in [16].”
A Comparative Study of Passivity Enforcement Schemes for Linear Lumped Macromodels (2008, unknown): “There are several possible implementations [18], [22]–[25], differing on the choice of the frequency samples and on the form of the constraint (14) that is employed in the optimization loop.”
SPICE equivalent circuits of frequency-domain responses (2003, methodology): “Passivity is here enforced, when needed, by means of the technique described in [ 11 ].”
Overview of Signal Integrity and EMC Design Technologies on PCB: Fundamentals and Latest Progress (2013, background): “Approaches for passivity enforcement techniques of macromodeling have also been proposed based on linear or quadratic optimization [18]–[20] or Hamiltonian matrix perturbation [21], [22].”
Transient analysis of lossy transmission lines: an efficient approach based on the method of Characteristics (2004, unknown): “, one of the procedures detailed in [3], [9], [10], [14], and [22].”
Designing and Modeling for Power Integrity (2010, unknown): “Two other suboptimal algorithms are available, namely 1) passivity enforcement at discrete frequency points via linear or quadratic programming [59], [61], [62], [66]–[70], or 2) iterative perturbation of the imaginary eigenvalues of the Hamiltonian matrix associated to the model [58]–[62], [71].”
Fast Passivity Enforcement for Pole-Residue Models by Perturbation of Residue Matrix Eigenvalues (2008, methodology): “In such situations, one can resort to frequency sweeping as in [15], or even better to calculate only the (few) purely imaginary eigenvalues [30], [31].”
A Half-Size Singularity Test Matrix for Fast and Reliable Passivity Assessment of Rational Models (2010, background): “923406 the model parameters are perturbed in a postprocessing step [9]–[14].”
An Adaptive Sampling Technique for Passivity Characterization and Enforcement of Large Interconnect Macromodels (2007, methodology): “We can cite approaches based on a priori assumptions on the macromodel representation [15], on linear or quadratic programming based on a discrete set of frequencies [16], [23], on convex optimization with passivity constraints [17]–[19], and on Hamiltonian matrices [21], [22], [24]–[26].”
A robust approach for system identification in the frequency domain (2004, background): “Passivity can be enforced by a final correction to the solution [10].”
Passivity Enforcement With Relative Error Control (2007, methodology): “Most passivity enforcement schemes that have been presented thus far [20]–[25] try to find a new passive model”
Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations (2011, background): “The perturbation theory for structured generic low rank perturbations is dominated by two conflicting effects, the generic structured perturbation trying to destroy the most sensitive part in the Jordan structure (which is the largest Jordan block) and the structure which requires certain Jordan…”