A Method to Determine the Distance to the Critical Oscillatory Stability Limit in Terms of Active Power Injections

Daniel Muller; Hjortur Johannsson; Arne Hejde Nielsen; Kjetil Uhlen

doi:10.1109/PowerTech46648.2021.9495002

A Method to Determine the Distance to the Critical Oscillatory Stability Limit in Terms of Active Power Injections

Daniel Muller, Hjortur Johannsson, Arne Hejde Nielsen, Kjetil Uhlen

Norwegian University of Science and Technology

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

This article presents a method to derive meaningful margins that provide information regarding the distance to critical oscillatory stability limits. The proposed method relies on modal torque concepts which allows to reduce the eigenvalue problem to a problem involving only generator torque and speed oscillations. The reduced problem size and the sparsity of the involved matrices makes it suitable for the application to large power systems. The algorithm relies on deriving the first order eigenvalue sensitivities in respect to perturbations of generator machine active power injections based on power flow quantities. The viability of the method is demonstrated at the example of the Nordic power system, showing the capability of determining critical operation well away from the actual critical stability limit.

Original language	English
Title of host publication	Proceedings of 2021 IEEE Madrid PowerTech
Number of pages	6
Publisher	IEEE
Publication date	2021
Article number	9495002
ISBN (Print)	978-1-6654-3597-0
DOIs	https://doi.org/10.1109/PowerTech46648.2021.9495002
Publication status	Published - 2021
Event	2021 IEEE Madrid PowerTech - Virtual Event - from the Alberto Aguilera Campus of Comillas University, Madrid, Spain Duration: 28 Jun 2021 → 2 Jul 2021 Conference number: 14 https://www.powertech2021.com/

Conference

Conference	2021 IEEE Madrid PowerTech
Number	14
Location	Virtual Event - from the Alberto Aguilera Campus of Comillas University
Country/Territory	Spain
City	Madrid
Period	28/06/2021 → 02/07/2021
Internet address	https://www.powertech2021.com/

Keywords

Eigenvalue sensitivity
Power system oscillations
Power system stability
Small signal stability

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10.1109/PowerTech46648.2021.9495002

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title = "A Method to Determine the Distance to the Critical Oscillatory Stability Limit in Terms of Active Power Injections",

abstract = "This article presents a method to derive meaningful margins that provide information regarding the distance to critical oscillatory stability limits. The proposed method relies on modal torque concepts which allows to reduce the eigenvalue problem to a problem involving only generator torque and speed oscillations. The reduced problem size and the sparsity of the involved matrices makes it suitable for the application to large power systems. The algorithm relies on deriving the first order eigenvalue sensitivities in respect to perturbations of generator machine active power injections based on power flow quantities. The viability of the method is demonstrated at the example of the Nordic power system, showing the capability of determining critical operation well away from the actual critical stability limit.",

keywords = "Eigenvalue sensitivity, Power system oscillations, Power system stability, Small signal stability",

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AU - Uhlen, Kjetil

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N2 - This article presents a method to derive meaningful margins that provide information regarding the distance to critical oscillatory stability limits. The proposed method relies on modal torque concepts which allows to reduce the eigenvalue problem to a problem involving only generator torque and speed oscillations. The reduced problem size and the sparsity of the involved matrices makes it suitable for the application to large power systems. The algorithm relies on deriving the first order eigenvalue sensitivities in respect to perturbations of generator machine active power injections based on power flow quantities. The viability of the method is demonstrated at the example of the Nordic power system, showing the capability of determining critical operation well away from the actual critical stability limit.

AB - This article presents a method to derive meaningful margins that provide information regarding the distance to critical oscillatory stability limits. The proposed method relies on modal torque concepts which allows to reduce the eigenvalue problem to a problem involving only generator torque and speed oscillations. The reduced problem size and the sparsity of the involved matrices makes it suitable for the application to large power systems. The algorithm relies on deriving the first order eigenvalue sensitivities in respect to perturbations of generator machine active power injections based on power flow quantities. The viability of the method is demonstrated at the example of the Nordic power system, showing the capability of determining critical operation well away from the actual critical stability limit.

KW - Eigenvalue sensitivity

KW - Power system oscillations

KW - Power system stability

KW - Small signal stability

U2 - 10.1109/PowerTech46648.2021.9495002

DO - 10.1109/PowerTech46648.2021.9495002

M3 - Article in proceedings

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BT - Proceedings of 2021 IEEE Madrid PowerTech

PB - IEEE

T2 - 2021 IEEE Madrid PowerTech

Y2 - 28 June 2021 through 2 July 2021

ER -

A Method to Determine the Distance to the Critical Oscillatory Stability Limit in Terms of Active Power Injections

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