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Unit commitment in power generation – a basic model and some extensions

Author

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  • Ralf Gollmer
  • Matthias Nowak
  • Werner Römisch
  • Rüdiger Schultz

Abstract

For the unit commitment problem in the hydro-thermal power system of VEAG Vereinigte Energiewerke AG Berlin we present a basic model and discuss possible extensions where both primal and dual solution approaches lead to flexible optimization tools. Extensions include staggered fuel prices, reserve policies involving hydro units, nonlinear start-up costs, and uncertain load profiles. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Ralf Gollmer & Matthias Nowak & Werner Römisch & Rüdiger Schultz, 2000. "Unit commitment in power generation – a basic model and some extensions," Annals of Operations Research, Springer, vol. 96(1), pages 167-189, November.
    • Handle: RePEc:spr:annopr:v:96:y:2000:i:1:p:167-189:10.1023/a:1018947401538
    DOI: 10.1023/A:1018947401538
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    Cited by:

    1. Jennifer Dinter & Steffen Rebennack & Josef Kallrath & Paul Denholm & Alexandra Newman, 2013. "The unit commitment model with concave emissions costs: a hybrid Benders’ Decomposition with nonconvex master problems," Annals of Operations Research, Springer, vol. 210(1), pages 361-386, November.
    2. Raimund M. Kovacevic, 2019. "Valuation and pricing of electricity delivery contracts: the producer’s view," Annals of Operations Research, Springer, vol. 275(2), pages 421-460, April.
    3. Mastropietro, Paolo & Herrero, Ignacio & Rodilla, Pablo & Batlle, Carlos, 2016. "A model-based analysis on the impact of explicit penalty schemes in capacity mechanisms," Applied Energy, Elsevier, vol. 168(C), pages 406-417.
    4. Feng, Chenjia & Shao, Chengcheng & Wang, Xifan, 2021. "CSP clustering in unit commitment for power system production cost modeling," Renewable Energy, Elsevier, vol. 168(C), pages 1217-1228.
    5. Alexander Franz & Julia Rieck & Jürgen Zimmermann, 2019. "Fix-and-optimize procedures for solving the long-term unit commitment problem with pumped storages," Annals of Operations Research, Springer, vol. 274(1), pages 241-265, March.
    6. Kovacevic, Raimund M. & Paraschiv, Florentina, 2012. "Medium-term Planning for Thermal Electricity Production," Working Papers on Finance 1220, University of St. Gallen, School of Finance.
    7. Knudsen, Brage Rugstad & Whitson, Curtis H. & Foss, Bjarne, 2014. "Shale-gas scheduling for natural-gas supply in electric power production," Energy, Elsevier, vol. 78(C), pages 165-182.
    8. Villalobos, Cristian & Negrete-Pincetic, Matías & Figueroa, Nicolás & Lorca, Álvaro & Olivares, Daniel, 2021. "The impact of short-term pricing on flexible generation investments in electricity markets," Energy Economics, Elsevier, vol. 98(C).
    9. Jeanne Aslak Petersen & Ditte Heide-Jørgensen & Nina Detlefsen & Trine Boomsma, 2016. "Short-term balancing of supply and demand in an electricity system: forecasting and scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 449-473, March.
    10. Sebastian Kuhn & Rüdiger Schultz, 2009. "Risk neutral and risk averse power optimization in electricity networks with dispersed generation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(2), pages 353-367, May.
    11. Komorowska, Aleksandra & Benalcazar, Pablo & Kaszyński, Przemysław & Kamiński, Jacek, 2020. "Economic consequences of a capacity market implementation: The case of Poland," Energy Policy, Elsevier, vol. 144(C).
    12. Herrero, Ignacio & Rodilla, Pablo & Batlle, Carlos, 2015. "Electricity market-clearing prices and investment incentives: The role of pricing rules," Energy Economics, Elsevier, vol. 47(C), pages 42-51.
    13. Prina, Matteo Giacomo & Groppi, Daniele & Nastasi, Benedetto & Garcia, Davide Astiaso, 2021. "Bottom-up energy system models applied to sustainable islands," Renewable and Sustainable Energy Reviews, Elsevier, vol. 152(C).
    14. Jeanne Aslak Petersen & Ditte Mølgård Heide-Jørgensen & Nina Kildegaard Detlefsen & Trine Krogh Boomsma, 2016. "Short-term balancing of supply and demand in an electricity system: forecasting and scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 449-473, March.
    15. Alexander Franz & Julia Rieck & Jürgen Zimmermann, 2020. "A long-term unit commitment problem with hydrothermal coordination for economic and emission control in large-scale electricity systems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 235-259, March.
    16. Han, Xingning & Chen, Xinyu & McElroy, Michael B. & Liao, Shiwu & Nielsen, Chris P. & Wen, Jinyu, 2019. "Modeling formulation and validation for accelerated simulation and flexibility assessment on large scale power systems under higher renewable penetrations," Applied Energy, Elsevier, vol. 237(C), pages 145-154.
    17. Timo Lohmann & Steffen Rebennack, 2017. "Tailored Benders Decomposition for a Long-Term Power Expansion Model with Short-Term Demand Response," Management Science, INFORMS, vol. 63(6), pages 2027-2048, June.
    18. Jiang, Ruiwei & Zhang, Muhong & Li, Guang & Guan, Yongpei, 2014. "Two-stage network constrained robust unit commitment problem," European Journal of Operational Research, Elsevier, vol. 234(3), pages 751-762.
    19. Santiago Cerisola & Álvaro Baíllo & José M. Fernández-López & Andrés Ramos & Ralf Gollmer, 2009. "Stochastic Power Generation Unit Commitment in Electricity Markets: A Novel Formulation and a Comparison of Solution Methods," Operations Research, INFORMS, vol. 57(1), pages 32-46, February.
    20. Fattahi, Salar & Ashraphijuo, Morteza & Lavaei, Javad & Atamtürk, Alper, 2017. "Conic relaxations of the unit commitment problem," Energy, Elsevier, vol. 134(C), pages 1079-1095.
    21. Dang, Chuangyin & Li, Minqiang, 2007. "A floating-point genetic algorithm for solving the unit commitment problem," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1370-1395, September.
    22. Qipeng Zheng & Jianhui Wang & Panos Pardalos & Yongpei Guan, 2013. "A decomposition approach to the two-stage stochastic unit commitment problem," Annals of Operations Research, Springer, vol. 210(1), pages 387-410, November.

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