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

Byong Jun Lee, Venkataramana Ajjarapu

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

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
Volume11
Issue number2
DOIs
Publication statusPublished - 1996 Dec 1
Externally publishedYes

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System stability
Eigenvalues and eigenfunctions

Keywords

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Invariant subspace parametric sensitivity (ISPS) of structure-preserving power system models. / Lee, Byong Jun; Ajjarapu, Venkataramana.

In: IEEE Transactions on Power Systems, Vol. 11, No. 2, 01.12.1996, p. 845-850.

Research output: Contribution to journalArticle

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