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

Abstract

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.

Category

Academic article

Client

  • Research Council of Norway (RCN) / 269303
  • Research Council of Norway (RCN) / 294508

Language

English

Author(s)

Affiliation

  • SINTEF Energy Research / Energisystemer

Year

2020

Published in

IEEE Transactions on Power Delivery

ISSN

0885-8977

Volume

36

Issue

5

Page(s)

2758 - 2767

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