Measurement-based estimation of the power flow jacobian matrix

Yu Christine Chen, Jianhui Wang, Alejandro D. Dominguez-Garcia, Peter W. Sauer

Research output: Contribution to journalArticlepeer-review


In this paper, we propose a measurement-based method to compute the power flow Jacobian matrix, from which we can infer pertinent information about the system topology in near real-time. A salient feature of our approach is that it readily adapts to changes in system operating point and topology; this is desirable as it provides power system operators with a way to update, as the system evolves, the models used in many reliability analysis tools. The method uses high-speed synchronized voltage and current phasor data collected from phasor measurement units to estimate entries of the Jacobian matrix through linear total least-squares (TLS) estimation. In addition to centralized TLS-based algorithms, we provide distributed alternatives aimed at reducing computational burden. Through numerical case studies, we illustrate the effectiveness of our proposed Jacobian-matrix estimation approach as compared with the conventional model-based one.

Original languageEnglish (US)
Article number7364281
Pages (from-to)2507-2515
Number of pages9
JournalIEEE Transactions on Smart Grid
Issue number5
StatePublished - Sep 2016


  • Power flow Jacobian matrix
  • phasor measurement units
  • real-time monitoring
  • sensitivity

ASJC Scopus subject areas

  • Computer Science(all)


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