The uniqueness of the local minimum for power economic dispatch problems

Jiann Fuh Chen, Huang Cheng Chen, Ching Lien Huang

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The functions of the cost curve and transmission losses are nonlinear and simultaneously subject to equality and inequality constraints in the economic power dispatch problem. Mathematically, the solution of the nonlinear equations of the economic power dispatch problem may result in multiple solutions. Conventional methods may fail to find all the multiple solutions if the initial guess values are not appropriately located within the region of convergency. To overcome this difficulty, the homotopy method is suggested for the solution technique. Concurrently, the properties of the convex function are applied to analyze the intersection equation of the objective equation and the equality constraints equation. Hence we can demonstrate that only one local minimum exists in the augmented cost function, so that the local minimum is the optimal solution of the economic power dispatch problem.

Original languageEnglish
Pages (from-to)187-193
Number of pages7
JournalElectric Power Systems Research
Issue number3
Publication statusPublished - 1995 Mar

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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