Stochastic optimal energy dispatch

G. L. Viviani, G. T. Heydt

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


This paper presents a useful algorithm to incorporate the effects of uncertain system parameters into optimal power dispatch. This method employs the multivariate Gram-Charlier series as means of modeling the probability density function (p.d.f.) which characterizes the uncertain parameters. The proposed method is a direct extension of existing techniques; therefore, minimal additional computation effort is necessary. Potential applications include the calculation of probabilistic parameters (eg., probability, expectation) relating to power dispatch. An example of such a parameter the probability of a bus voltage out of range during optimal dispatch. A practical example is pursued to demonstrate the usefulness of the method.

Original languageEnglish (US)
Pages (from-to)3221-3228
Number of pages8
JournalIEEE transactions on power apparatus and systems
Issue number7
StatePublished - Jul 1981
Externally publishedYes

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Engineering(all)
  • Electrical and Electronic Engineering


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