Minimum frequency constrained generation margin allocation using quadratic programming

C. B. Somuah*, F. C. Schweppe

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The problem of allocating the total system margin among all the generators in a power system, taking into consideration the maximum post-disturbance frequency deviation, is formulated as a quadratic programming problem. The optimization problem uses the sensitivity of the frequency deviation to changes in each generator's margin in the allocation of total system margin. The quadratic programming problem is solved via the Dantzig-Wolfe decomposition technique using a sequence of linear programming sub-problems. A significant improvement is found in the post-disturbance performance of the power system in comparison with conventional margin allocation. Numerical examples on two test systems are included. Results of sensitivity studies relating changes in power plant margin and size of postulated disturbance to changes in system frequency deviation and generation cost are also discussed.

Original languageEnglish
Pages (from-to)105-112
Number of pages8
JournalInternational Journal of Electrical Power and Energy Systems
Volume9
Issue number2
DOIs
StatePublished - Apr 1987

Bibliographical note

Funding Information:
This work was sponsored by the Electric Energy Systems Division of the US Department of Energy under contract No E49-2075.

Keywords

  • mathematical programming
  • scheduling
  • security enhancement

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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