Hydro-electric unit commitment subject to uncertain demand

We consider the problem of scheduling daily hydro-electricity generation in a river valley. Each generating station in this river valley has a number of turbines which incur fixed charges on startup and have a generation efficiency which varies nonlinearly with flow. With appropriate approximations...

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Published inEuropean journal of operational research Vol. 125; no. 2; pp. 410 - 424
Main Authors Philpott, A.B., Craddock, M., Waterer, H.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.09.2000
Elsevier
Elsevier Sequoia S.A
SeriesEuropean Journal of Operational Research
Subjects
Online AccessGet full text
ISSN0377-2217
1872-6860
DOI10.1016/S0377-2217(99)00172-1

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Abstract We consider the problem of scheduling daily hydro-electricity generation in a river valley. Each generating station in this river valley has a number of turbines which incur fixed charges on startup and have a generation efficiency which varies nonlinearly with flow. With appropriate approximations the problem of determining what turbine units to commit in each half hour of the day can be formulated as a large mixed-integer linear programming problem. In practice the generation required from this group of stations in each half hour is often different from that forecast. We investigate the impact of this uncertainty on the unit commitment by using an optimization-based heuristic to give an approximate solution to the stochastic problem.
AbstractList We consider the problem of scheduling daily hydro-electricity generation in a river valley. Each generating station in this river valley has a number of turbines which incur fixed charges on startup and have a generation efficiency which varies nonlinearly with flow. With appropriate approximations the problem of determining what turbine units to commit in each half hour of the day can be formulated as a large mixed-integer linear programming problem. In practice the generation required from this group of stations in each half hour is often different from that forecast. We investigate the impact of this uncertainty on the unit commitment by using an optimization-based heuristic to give an approximate solution to the stochastic problem.
The problem of scheduling daily hydro-electricity generation in a river valley is considered. Each generating station in this river valley has a number of turbines which incur fixed charges on startup and have a generation efficiency that varies nonlinearly with flow. With appropriate approximations the problem of determining what turbine units to commit in each half hour of the day can be formulated as a large mixed-integer linear programming problem. In practice, the generation required from this group of stations in each half hour is often different from that forecast. The impact of this uncertainty on the unit commitment is investigated by using an optimization-based heuristic to give an approximate solution to the stochastic problem.
Author Craddock, M.
Philpott, A.B.
Waterer, H.
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Cites_doi 10.1007/BF02031746
10.1016/0377-2217(93)90344-M
10.1109/59.535691
10.1007/BF01580220
10.1287/opre.29.4.763
10.1109/59.14564
10.1109/59.317549
10.1287/mnsc.26.7.659
10.1007/978-3-642-59179-2_13
10.1007/BF02031745
10.1109/59.496196
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Issue 2
Keywords Stochastic integer programming
Unit commitment
Dynamic programming
Language English
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References Carpentier, Cohen, Culioli, Renaud (BIB2) 1996; 11
Jacobs, Freeman, Grygier, Morton, Schultz, Staschus, Stedinger (BIB10) 1995; 59
Hreinsson (BIB9) 1988; 3
Takriti, Birge, Long (BIB17) 1996; 11
Sheble, Fahd (BIB16) 1993; 9
J.A. George, E.G. Read, A.L. Kerr, R.E, Rosenthal. Optimal scheduling of hydro-stations: An integer programming model, Working Paper EMRG-WP-95-07, Energy Modelling Research Group, University of Canterbury, Christchurch, New Zealand, July 1995
K. Broughan, C. McKenzie, A. Sneyd, Y. Wang, Optimal hydro-generation scheduling for a cascade, IMA Journal of Mathematics Applied in Business and Industry 5 (1994) 115–130
Rosenthal (BIB15) 1981; 29
S. Feltenmark, P.O. Lindberg, Network methods for head-dependent hydro-power scheduling, in: P.M. Pardalos, D.W. Hearn, W.W. Hager, (Eds.), Network Optimization, Lecture Notes in Economics and Mathematics, 450, Springer, New York, 1997
Oliveira, McKee, Coles (BIB12) 1993; 71
Hanscom, Lafond, Lasdon, Pronovost (BIB8) 1988; 26
E.G. Read, A. Kerr, The Waitaki hydro-development: A comparison of experimental results from integer programming and heuristic approaches, Contract Report EMRG-CR-95-02, Energy Modelling Research Group, University of Canterbury, New Zealand, March 1995
H. Waterer, Hydro-electric unit commitment subject to uncertain demand, Technical report, M.E.Thesis, University of Auckland, August 1996
NAG, NAG Fortran Library Manual, Mark 16, Numerical Algorithms Group, Oxford, United Kingdom, September 1993
Gagnon, Hicks, Jacoby, Kowalik (BIB5) 1974; 6
Growe, Romisch, Schultz (BIB7) 1995; 59
A.B. Philpott, M. Craddock, An optimisation-based heuristic for short-term hydro-electricity generation, Technical Report 5853, Auckland Uniservices, University of Auckland, Auckland, New Zealand, 1995
M. Yang, E.G. Read, A dual dynamic programming approach to reservoir management with correlated inflows, in: Proceedings of the 26th Conference of the ORSNZ, Operations Research Society of New Zealand, 1990, pp. 21–26
CPLEX, Using the CPLEX Callable Library, Version 4.0, CPLEX Optimization, Nevada, USA, 1996
Oliveira (10.1016/S0377-2217(99)00172-1_BIB12) 1993; 71
Rosenthal (10.1016/S0377-2217(99)00172-1_BIB15) 1981; 29
Takriti (10.1016/S0377-2217(99)00172-1_BIB17) 1996; 11
Hreinsson (10.1016/S0377-2217(99)00172-1_BIB9) 1988; 3
10.1016/S0377-2217(99)00172-1_BIB6
Carpentier (10.1016/S0377-2217(99)00172-1_BIB2) 1996; 11
10.1016/S0377-2217(99)00172-1_BIB4
10.1016/S0377-2217(99)00172-1_BIB3
10.1016/S0377-2217(99)00172-1_BIB1
Hanscom (10.1016/S0377-2217(99)00172-1_BIB8) 1988; 26
Gagnon (10.1016/S0377-2217(99)00172-1_BIB5) 1974; 6
10.1016/S0377-2217(99)00172-1_BIB18
10.1016/S0377-2217(99)00172-1_BIB19
10.1016/S0377-2217(99)00172-1_BIB13
10.1016/S0377-2217(99)00172-1_BIB14
Jacobs (10.1016/S0377-2217(99)00172-1_BIB10) 1995; 59
Growe (10.1016/S0377-2217(99)00172-1_BIB7) 1995; 59
10.1016/S0377-2217(99)00172-1_BIB11
Sheble (10.1016/S0377-2217(99)00172-1_BIB16) 1993; 9
References_xml – volume: 9
  start-page: 128
  year: 1993
  end-page: 135
  ident: BIB16
  article-title: Unit commitment literature synopsis
  publication-title: IEEE Transactions on Power Systems
– reference: K. Broughan, C. McKenzie, A. Sneyd, Y. Wang, Optimal hydro-generation scheduling for a cascade, IMA Journal of Mathematics Applied in Business and Industry 5 (1994) 115–130
– volume: 59
  start-page: 135
  year: 1995
  end-page: 164
  ident: BIB7
  article-title: A simple recourse model for power dispatch under uncertain demand
  publication-title: Annals of Operations Research
– reference: J.A. George, E.G. Read, A.L. Kerr, R.E, Rosenthal. Optimal scheduling of hydro-stations: An integer programming model, Working Paper EMRG-WP-95-07, Energy Modelling Research Group, University of Canterbury, Christchurch, New Zealand, July 1995
– reference: S. Feltenmark, P.O. Lindberg, Network methods for head-dependent hydro-power scheduling, in: P.M. Pardalos, D.W. Hearn, W.W. Hager, (Eds.), Network Optimization, Lecture Notes in Economics and Mathematics, 450, Springer, New York, 1997
– volume: 59
  start-page: 99
  year: 1995
  end-page: 134
  ident: BIB10
  article-title: Socrates: A system for scheduling hydro-electric generation under uncertainty
  publication-title: Annals of Operations Research
– reference: NAG, NAG Fortran Library Manual, Mark 16, Numerical Algorithms Group, Oxford, United Kingdom, September 1993
– reference: CPLEX, Using the CPLEX Callable Library, Version 4.0, CPLEX Optimization, Nevada, USA, 1996
– volume: 71
  start-page: 334
  year: 1993
  end-page: 340
  ident: BIB12
  article-title: Optimal scheduling of a hydro-thermal power generation system
  publication-title: European Journal of Operational Research
– volume: 29
  start-page: 763
  year: 1981
  end-page: 786
  ident: BIB15
  article-title: A nonlinear network flow algorithm for maximization of benefits in a hydro-electric power system
  publication-title: Operations Research
– reference: H. Waterer, Hydro-electric unit commitment subject to uncertain demand, Technical report, M.E.Thesis, University of Auckland, August 1996
– volume: 26
  start-page: 659
  year: 1988
  end-page: 668
  ident: BIB8
  article-title: Modelling and resolution of the medium term energy generation planning problem for a large hydro-electric system
  publication-title: Management Science
– volume: 6
  start-page: 28
  year: 1974
  end-page: 41
  ident: BIB5
  article-title: A nonlinear programming approach to to a large hydro-electric system optimization
  publication-title: Mathematical Programming
– reference: M. Yang, E.G. Read, A dual dynamic programming approach to reservoir management with correlated inflows, in: Proceedings of the 26th Conference of the ORSNZ, Operations Research Society of New Zealand, 1990, pp. 21–26
– volume: 11
  start-page: 1067
  year: 1996
  end-page: 1073
  ident: BIB2
  article-title: Stochastic optimization of unit commitment: A new decomposition framework
  publication-title: IEEE Transactions on Power Systems
– volume: 11
  start-page: 1497
  year: 1996
  end-page: 1508
  ident: BIB17
  article-title: A stochastic model for the unit commitment problem
  publication-title: IEEE Transactions on Power Systems
– reference: A.B. Philpott, M. Craddock, An optimisation-based heuristic for short-term hydro-electricity generation, Technical Report 5853, Auckland Uniservices, University of Auckland, Auckland, New Zealand, 1995
– reference: E.G. Read, A. Kerr, The Waitaki hydro-development: A comparison of experimental results from integer programming and heuristic approaches, Contract Report EMRG-CR-95-02, Energy Modelling Research Group, University of Canterbury, New Zealand, March 1995
– volume: 3
  start-page: 1072
  year: 1988
  end-page: 1077
  ident: BIB9
  article-title: Optimal short term operation of a purely hydro-electric system
  publication-title: IEEE Transactions on Power Systems
– volume: 59
  start-page: 135
  year: 1995
  ident: 10.1016/S0377-2217(99)00172-1_BIB7
  article-title: A simple recourse model for power dispatch under uncertain demand
  publication-title: Annals of Operations Research
  doi: 10.1007/BF02031746
– volume: 71
  start-page: 334
  year: 1993
  ident: 10.1016/S0377-2217(99)00172-1_BIB12
  article-title: Optimal scheduling of a hydro-thermal power generation system
  publication-title: European Journal of Operational Research
  doi: 10.1016/0377-2217(93)90344-M
– volume: 11
  start-page: 1497
  year: 1996
  ident: 10.1016/S0377-2217(99)00172-1_BIB17
  article-title: A stochastic model for the unit commitment problem
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/59.535691
– volume: 6
  start-page: 28
  year: 1974
  ident: 10.1016/S0377-2217(99)00172-1_BIB5
  article-title: A nonlinear programming approach to to a large hydro-electric system optimization
  publication-title: Mathematical Programming
  doi: 10.1007/BF01580220
– volume: 29
  start-page: 763
  year: 1981
  ident: 10.1016/S0377-2217(99)00172-1_BIB15
  article-title: A nonlinear network flow algorithm for maximization of benefits in a hydro-electric power system
  publication-title: Operations Research
  doi: 10.1287/opre.29.4.763
– ident: 10.1016/S0377-2217(99)00172-1_BIB18
– ident: 10.1016/S0377-2217(99)00172-1_BIB6
– volume: 3
  start-page: 1072
  issue: 3
  year: 1988
  ident: 10.1016/S0377-2217(99)00172-1_BIB9
  article-title: Optimal short term operation of a purely hydro-electric system
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/59.14564
– ident: 10.1016/S0377-2217(99)00172-1_BIB3
– ident: 10.1016/S0377-2217(99)00172-1_BIB19
– ident: 10.1016/S0377-2217(99)00172-1_BIB1
– ident: 10.1016/S0377-2217(99)00172-1_BIB11
– ident: 10.1016/S0377-2217(99)00172-1_BIB13
– ident: 10.1016/S0377-2217(99)00172-1_BIB14
– volume: 9
  start-page: 128
  year: 1993
  ident: 10.1016/S0377-2217(99)00172-1_BIB16
  article-title: Unit commitment literature synopsis
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/59.317549
– volume: 26
  start-page: 659
  issue: 7
  year: 1988
  ident: 10.1016/S0377-2217(99)00172-1_BIB8
  article-title: Modelling and resolution of the medium term energy generation planning problem for a large hydro-electric system
  publication-title: Management Science
  doi: 10.1287/mnsc.26.7.659
– ident: 10.1016/S0377-2217(99)00172-1_BIB4
  doi: 10.1007/978-3-642-59179-2_13
– volume: 59
  start-page: 99
  year: 1995
  ident: 10.1016/S0377-2217(99)00172-1_BIB10
  article-title: Socrates: A system for scheduling hydro-electric generation under uncertainty
  publication-title: Annals of Operations Research
  doi: 10.1007/BF02031745
– volume: 11
  start-page: 1067
  issue: 2
  year: 1996
  ident: 10.1016/S0377-2217(99)00172-1_BIB2
  article-title: Stochastic optimization of unit commitment: A new decomposition framework
  publication-title: IEEE Transactions on Power Systems
  doi: 10.1109/59.496196
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Snippet We consider the problem of scheduling daily hydro-electricity generation in a river valley. Each generating station in this river valley has a number of...
The problem of scheduling daily hydro-electricity generation in a river valley is considered. Each generating station in this river valley has a number of...
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SubjectTerms Dynamic programming
Integer programming
Linear programming
Stochastic integer programming
Stochastic models
Studies
Unit commitment
Title Hydro-electric unit commitment subject to uncertain demand
URI https://dx.doi.org/10.1016/S0377-2217(99)00172-1
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