Design of state estimator measurements based on condition indicators

Mark J. Rice, Gerald T. Heydt, Weiqing Jiang, Vijay Vittal

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In contemporary power systems, consideration may be given to added measurements for the purpose of improving the performance of an existing state estimator. The considered addition may be a measurement of a state (e.g., bus voltage phase angle or bus voltage magnitude). In this article, the condition number and other algebraic indicators of state estimator performance are studied with regard to added state measurements in an existing power system state estimator. The concept of a condition indicator is introduced, and this includes a study of certain elements of the singular spectrum of the state estimator process matrix. Eigenvalue sensitivity analysis is used to improve the condition indicators. Examples are shown to illustrate the concept. The analysis also shows that the concept of using condition indicators for measurement placement is consistent with redundancy analysis. The purpose of a study of condition indicators is to supplement measurement placement algorithms.

Original languageEnglish (US)
Pages (from-to)665-679
Number of pages15
JournalElectric Power Components and Systems
Issue number7
StatePublished - Jul 2008


  • Condition number
  • Eigenvalues
  • Phasor measurement unit
  • Singular values
  • State estimation
  • Synchrophasor

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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