Pole-Selective Residue Perturbation Technique for Passivity Enforcement of FDNEs

Morales, José; Mahseredjian, Jean; Sheshyekani, Keyhan; Ramirez, Abner; Medina, Edgar; Koçar, Ilhan

doi:10.1109/tpwrd.2018.2810706

Cited by 19 publications

(14 citation statements)

References 26 publications

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“…The pole-residue terms can for instance be selected in frequency areas where passivity violations occur, e.g. by an automated selection scheme as in [9]. Again, the number of columns in A and C, and thus rows in E, becomes reduced.…”

Section: B Pole-residue Term Reductionmentioning

confidence: 99%

“…Three examples are presented which demonstrate the performance of the RP-NNLS passivity enforcement scheme in Matlab version R2018a. The acceleration factor α in (37) is 1.05, similarly as in [9]. The listed CPU times are for the passivity enforcement steps, excluding passivity assessment (see Fig.…”

Section: Examplesmentioning

confidence: 99%

“…The most common usage is in traveling wave models for representation of the propagation characteristics [1], [2], [3]. Another emerging application is the representation of subnetworks by a frequency dependent network equivalent (FDNE) to save computation time [4]- [9]. In the latter application, the typical modeling procedure is to generate frequency samples representing the terminal (port) admittance, followed by model extraction via rational function approximation.…”

Section: Introductionmentioning

confidence: 99%

“…Several modifications to the RP method have been proposed to improve its performance. The calculation time is reduced when perturbing only a limited number of residue matrices [20], [9] or a limited number of elements in each residue matrix [20], but such approach is heuristic and can involve loss of accuracy in the final model. The lack of a sparse solver for the quadratic problem solver in early Matlab versions inspired the development of the "Fast RP" method (FRP) where the eigenvalues of the residue matrices are perturbed [21].…”

Section: Introductionmentioning

confidence: 99%

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Passivity Enforcement by Residue Perturbation via Constrained Non-Negative Least Squares

Gustavsen

2021

IEEE Trans. Power Delivery

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Passivity is a fundamental requirement for rational models to guarantee stable behavior when included in general time domain simulations. This paper introduces a new variant of one passivity enforcement scheme that is based on residue matrix perturbation. The constrained least squares problem associated with the passivity condition is transformed into a least distance problem which is solved as a non-negative least squares problem while utilizing the sparsity pattern that arises with multi-terminal problems. The resulting method is very fast and requires only a small amount of computer memory, thereby being applicable to models with many terminals and high orders. The method is demonstrated to be suitable for frequency-dependent modeling of subnetworks, transformer winding branch impedances, and measured transformer admittance data.

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Section: B Pole-residue Term Reductionmentioning

confidence: 99%

Section: Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Passivity Enforcement by Residue Perturbation via Constrained Non-Negative Least Squares

Gustavsen

2021

IEEE Trans. Power Delivery

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“…FIGURE 1: RC-shunt with an RL branch the circuit of Fig. 1 in the Laplace frequency-domain, we may find the impedance and admittance of each branch as (9), and calculate the total network admittance as (10).…”

Section: Atf and Itf For Real Poles And Residuesmentioning

confidence: 99%

Stability, Causality, and Passivity Analysis of Canonical Equivalent Circuits of Improper Rational Transfer Functions With Real Poles and Residues

Choupanzadeh

Zadehgol

2020

IEEE Access

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This paper extends a previous work on synthesis of equivalent circuits using strictly proper canonical R-L and R a-L-R b-C circuit branches, and presents a thorough time-domain and frequency-domain analysis of stability/causality/passivity (SCP) of the R-L circuit branch (based on real pole/residue) and two additional shunt elements R shunt and C shunt parallel to the R-L branch, leading to an improper rational transfer function. We develop a rigorous and comprehensive table of sign-relationships including pole/residue, pole/zero, R/L/C elements, and SCP conditions to describe the interaction of R shunt and C shunt elements with an R-L branch. We also examine the effects on SCP due to negative gain coefficient of the transfer functions. Because such a topology can commonly occur as a result of applying fitting algorithms (e.g., Vector Fitting) on the electrical response of multi-port networks (e.g., impedance, admittance, or scattering parameters), it is important to understand the above SCP conditions for synthesis of practical SPICE models for stable time-domain simulations.

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Frequency-dependent equivalent based on idempotent decomposition and grouping

Lima

Camara

Salvador

et al. 2020

Electric Power Systems Research

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Pole-Selective Residue Perturbation Technique for Passivity Enforcement of FDNEs

Cited by 19 publications

References 26 publications

Passivity Enforcement by Residue Perturbation via Constrained Non-Negative Least Squares

Passivity Enforcement by Residue Perturbation via Constrained Non-Negative Least Squares

Stability, Causality, and Passivity Analysis of Canonical Equivalent Circuits of Improper Rational Transfer Functions With Real Poles and Residues

Frequency-dependent equivalent based on idempotent decomposition and grouping

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