Design and Stability of Angle Based Feedback Control in Power Systems: A Negative-Imaginary Approach

Yijun Chen, Ian R. Petersen, Elizabeth L. Ratnam

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

Abstract

This paper considers a power transmission network. At the steady state, frequencies across different buses synchronize to a common nominal value and power flows on transmission lines are within steady-state envelopes. We assume that fast measurements of generator rotor angles are available. Our approach to frequency and angle control centers on equipping generator buses with large-scale batteries that are controllable on a fast timescale. We link angle based feedback linearization control with negative-imaginary systems theory. Angle based feedback controllers are designed using large-scale batteries as actuators and can be implemented in a distributed manner incorporating local information. Our analysis demonstrates the internal stability of the interconnection between the power transmission network and the angle based feedback controllers. This internal stability underscores the benefits of achieving frequency synchronization and preserving steady-state power flows within network envelopes through the use of feedback controllers. Finally, we illustrate our results through numerical simulations.

Original languageEnglish
Title of host publication2024 American Control Conference, ACC 2024
EditorsKam K. Leang
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages1158-1163
Number of pages6
ISBN (Electronic)9798350382655, 9798350382648
ISBN (Print)9798350382662
DOIs
Publication statusPublished - 2024
Externally publishedYes
EventAmerican Control Conference 2024 - Toronto, Canada
Duration: 10 Jul 202412 Jul 2024
https://ieeexplore.ieee.org/xpl/conhome/10644130/proceeding (Proceedings)
https://acc2024.a2c2.org (Website)

Conference

ConferenceAmerican Control Conference 2024
Abbreviated titleACC 2024
Country/TerritoryCanada
CityToronto
Period10/07/2412/07/24
Internet address

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