Optimal scheduling of large hydrothermal power systems

John J. Shaw, Robert F. Gendron, Dimitri P. Bertsekas

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


In this paper we present a new algorithm to find the optimal unit commitment and economic dispatch (UC/D) for a large hydrothermal power system. Mathematically, this is a large nonlinear, mixed integer optimization problem involving over 16,800 integer variables for a system having 100 thermal units with a 1-week scheduling horizon. We use a dual programming approach to solve a separate optimal control problem for each thermal unit and for each set of coupled hydro units. The algorithm has been tested on a 100 thermal unit/6 hydro unit system having a 168-hour scheduling period, and will find solutions that are within 0.1 to 0.25 percent of the optimal dual cost. We report computational results for a system modeled after the New York Power Pool.

Original languageEnglish (US)
Pages (from-to)286-294
Number of pages9
JournalIEEE transactions on power apparatus and systems
Issue number2
StatePublished - Feb 1985
Externally publishedYes

ASJC Scopus subject areas

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


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