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Planning Electric Power Generation: A Nonlinear Mixed Integer Model Employing Benders Decomposition

Author

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  • F. Noonan

    (University of Michigan)

  • R. J. Giglio

    (University of Massachusetts)

Abstract

This paper describes the development and application of an optimization program that is used to help electric utilities plan investments for power generation. For each year over a planning horizon the program determines what types and sizes of generating plants should be constructed, so as to minimize total discounted cost while meeting reliably the system's forecasted demands for electricity. The problem is formulated as a large-scale, chance constrained, mixed integer program. The solution algorithm employs Benders' Partitioning Principle, a mixed integer linear programming code, and a successive linearization procedure. Computation costs are low and, in the important area of sensitivity analysis, the program offers special economies which make it attractive to power system planners. Computational results are presented for a full sized generation planning problem for the six New England states where the algorithm is currently being used for planning generating facilities.

Suggested Citation

  • F. Noonan & R. J. Giglio, 1977. "Planning Electric Power Generation: A Nonlinear Mixed Integer Model Employing Benders Decomposition," Management Science, INFORMS, vol. 23(9), pages 946-956, May.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:9:p:946-956
    DOI: 10.1287/mnsc.23.9.946
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    Cited by:

    1. A. Marín & J. Salmerón, 2001. "A risk function for the stochastic modeling of electric capacity expansion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(8), pages 662-683, December.
    2. Wang, Earl-Juei & Jaraiedi, Majid & Torries, Thomas F., 1996. "Modelling long-run cost minimization and environmental provisions for utility expansion," Energy Economics, Elsevier, vol. 18(1-2), pages 49-68, April.
    3. Pisciella, P. & Vespucci, M.T. & Bertocchi, M. & Zigrino, S., 2016. "A time consistent risk averse three-stage stochastic mixed integer optimization model for power generation capacity expansion," Energy Economics, Elsevier, vol. 53(C), pages 203-211.
    4. Vedat Bayram & Hande Yaman, 2018. "Shelter Location and Evacuation Route Assignment Under Uncertainty: A Benders Decomposition Approach," Transportation Science, INFORMS, vol. 52(2), pages 416-436, March.
    5. Frederic H. Murphy & Zhong Xian Wang, 1993. "A network reformulation of an electric utility expansion planning model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 451-457, June.
    6. Frederic H. Murphy & Howard J. Weiss, 1990. "An approach to modeling electric utility capacity expansion planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 827-845, December.

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