Invariant subspace parametric sensitivity (ISPS) of structure-preserving power system models

Byongjun Lee, Venkataramana Ajjarapu

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


In this paper, the parametric sensitivities of structure-preserving power system model are derived. The parametric sensitivities give the sensitivities of an equilibrium point with respect to a particular parameter of interest. A new invariant subspace parametric sensitivity (ISPS) is derived by projecting the total parametric sensitivity onto a particular eigenspace of interest. The ISPS provides the sensitivity of system stability. At a particular eigensubspace, ISPS of all the parameters under consideration are represented by a right eigenvector multiplied by a scalar a. Then the parameter which has the most influence on the subspace can be determined by selecting the largest value of a. The methodology is applied to a New England 39-bus system to identify components and parameters that are responsible for a possible system instability.

Original languageEnglish
Pages (from-to)845-850
Number of pages6
JournalIEEE Transactions on Power Systems
Issue number2
Publication statusPublished - 1996
Externally publishedYes


  • Bifurcation
  • Invariant subspace
  • Parametric sensitivity
  • Structure-preserving models
  • Voltage stability

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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