Testing the Local Stability of a Multi-Machine Power System with Constant Power Loads

Yoash Levron, Alan Valadez, George Weiss

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

With the widespread adoption of switched power converters within the power grid as both sources and sinks, the necessity arises for establishing verifiable stability conditions. We assume here that power sources can be modelled as synchronous generators - this encompasses virtual synchronous generators - while power sinks are operating as constant power loads. We provide a small-signal stability criterion for a model that uses time-varying phasors, characterized by a lossless transmission network and constant power loads distributed throughout the network. A key concept in this study is the matrix $H$, representing the partial derivatives of the generator powers with respect to their relative angles, computed at an equilibrium point. Our main result is that $H > 0$ implies the local asymptotic stability of this equilibrium point. Moreover, the equilibrium point is unstable if $H$ is full-rank and not positive definite. To demonstrate the practical significance of our theorem, we conduct a case study, highlighting its applicability in real-world scenarios.

Original languageEnglish
Title of host publication2024 IEEE 15th International Symposium on Power Electronics for Distributed Generation Systems, PEDG 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350361001
DOIs
StatePublished - 2024
Event15th IEEE International Symposium on Power Electronics for Distributed Generation Systems, PEDG 2024 - Luxembourg, Luxembourg
Duration: 23 Jun 202426 Jun 2024

Publication series

Name2024 IEEE 15th International Symposium on Power Electronics for Distributed Generation Systems, PEDG 2024

Conference

Conference15th IEEE International Symposium on Power Electronics for Distributed Generation Systems, PEDG 2024
Country/TerritoryLuxembourg
CityLuxembourg
Period23/06/2426/06/24

Funding

FundersFunder number
Israel Science Founda?tion
European Union s Horizon Europe research and innovation program101073558
Israel Science Foundation2802/21

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