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

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


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 languageEnglish
Title of host publicationProceedings of 2021 IEEE Madrid PowerTech
Number of pages6
Publication date2021
Article number9495002
ISBN (Print)978-1-6654-3597-0
Publication statusPublished - 2021
Event2021 IEEE Madrid PowerTech - Virtual Event, Madrid, Spain
Duration: 28 Jun 20212 Jul 2021


Conference2021 IEEE Madrid PowerTech
LocationVirtual Event
Internet address
Series2021 Ieee Madrid Powertech, Powertech 2021 - Conference Proceedings


  • Eigenvalue sensitivity
  • Power system oscillations
  • Power system stability
  • Small signal stability


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