A Passivity Interpretation of Energy-Based Forced Oscillation Source Location Methods

Samuel Chevalier, Petr Vorobev, Konstantin Turitsyn

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


This paper develops a systematic framework for analyzing how low frequency forced oscillations propagate in electric power systems. Using this framework, the paper shows how to mathematically justify the so-called Dissipating Energy Flow (DEF) forced oscillation source location technique. The DEF's specific deficiencies are pinpointed, and its underlying energy function is analyzed via incremental passivity theory. This analysis is then used to prove that there exists no passivity transformation (i.e. quadratic energy function) which can simultaneously render all components of a lossy classical power system passive. The paper goes on to develop a simulation-free algorithm for predicting the performance of the DEF method in a generalized power system, and it analyzes the passivity of three non-classical load and generation components. The proposed propagation framework and performance algorithm are both tested and illustrated on the IEEE 39-bus New England system and the WECC 179-bus system.

Original languageEnglish
Article number8990021
Pages (from-to)3588-3602
Number of pages15
JournalIEEE Transactions on Power Systems
Issue number5
Publication statusPublished - Sep 2020


  • Forced oscillations
  • inverse problems
  • passivity
  • phasor measurement unit (PMU)
  • power system dynamics


Dive into the research topics of 'A Passivity Interpretation of Energy-Based Forced Oscillation Source Location Methods'. Together they form a unique fingerprint.

Cite this