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2013 | OriginalPaper | Buchkapitel

4. Price-Driven Hydropower Dispatch Under Uncertainty

verfasst von : Martin Densing

Erschienen in: Handbook of Risk Management in Energy Production and Trading

Verlag: Springer US

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Abstract

After a review of hydropower optimization models, we focus on price-driven hydropower dispatch models under uncertainty of the electricity price. We present two modeling approaches for pumped-storage plants. In the first model, the water level is constrained in expectation. We discuss the marginal price of water, which is obtained analytically, and influences of price variances. The second model is a multistage stochastic linear program on a scenario tree. Financial risk is constrained by a time-consistent extension of CVaR (conditional-value-at-risk). The model has two time scales: The short-term dispatch decision is separated from the long-term planning by aggregating electricity prices into occupation times at price levels. The risk constraint is tested in a case study.

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Literatur
2.
5.
Zurück zum Zitat Barrera-Esteve C, Bergeret F, Dossal C, Gobet E, Meziou A, Munos R, Reboul-Salze D (2006) Numerical methods for the pricing of swing options: A stochastic control approach. Methodol Comput Appl Probab 8(4):517–540. doi:10.1007/s11009-006-0427-8 CrossRef Barrera-Esteve C, Bergeret F, Dossal C, Gobet E, Meziou A, Munos R, Reboul-Salze D (2006) Numerical methods for the pricing of swing options: A stochastic control approach. Methodol Comput Appl Probab 8(4):517–540. doi:10.​1007/​s11009-006-0427-8 CrossRef
10.
Zurück zum Zitat Birge JR, Louveaux F (1997) Introduction to stochastic programming. In: Springer series in operations research and financial engineering. Springer, New York. doi:10.1007/b97617 Birge JR, Louveaux F (1997) Introduction to stochastic programming. In: Springer series in operations research and financial engineering. Springer, New York. doi:10.​1007/​b97617
11.
Zurück zum Zitat Borodin AN, Ibragimov I (1995) Limit theorems for functionals of random walks. In: Proceedings of the Steklov institute of mathematics, vol 195. American Mathematical Society Borodin AN, Ibragimov I (1995) Limit theorems for functionals of random walks. In: Proceedings of the Steklov institute of mathematics, vol 195. American Mathematical Society
13.
Zurück zum Zitat Carmona R (ed) (2009) Indifference pricing: theory and applications. In: Princeton series in financial engineering. Princeton University Press, Princeton Carmona R (ed) (2009) Indifference pricing: theory and applications. In: Princeton series in financial engineering. Princeton University Press, Princeton
16.
Zurück zum Zitat Dantzig GB, Thapa MN (2003) Linear programming – 2: theory and extensions. In: Springer series in operations research and financial engineering. Springer, New York. doi:10.1007/b97283 Dantzig GB, Thapa MN (2003) Linear programming – 2: theory and extensions. In: Springer series in operations research and financial engineering. Springer, New York. doi:10.​1007/​b97283
18.
Zurück zum Zitat Deane JP, McKeogh EJ, Gallachóir BPÓ (2013) Derivation of intertemporal targets for large pumped hydro energy storage with stochastic optimization. IEEE Trans Power Syst. doi:10.1109/TPWRS.2012.2236111 Deane JP, McKeogh EJ, Gallachóir BPÓ (2013) Derivation of intertemporal targets for large pumped hydro energy storage with stochastic optimization. IEEE Trans Power Syst. doi:10.​1109/​TPWRS.​2012.​2236111
19.
Zurück zum Zitat Densing M (2007) Hydro-electric power plant dispatch-planning – multi-stage stochastic programming with time-consistent constraints on risk. Ph.D. thesis, ETH, Zürich. doi:10.3929/ethz-a-005464814. Nr. 17244 Densing M (2007) Hydro-electric power plant dispatch-planning – multi-stage stochastic programming with time-consistent constraints on risk. Ph.D. thesis, ETH, Zürich. doi:10.​3929/​ethz-a-005464814. Nr. 17244
22.
Zurück zum Zitat Densing M, Mayer J (2012) Multiperiod stochastic optimization problems with time-consistent risk constraints. In: Klatte D, Lüthi HJ, Schmedders K (eds) Operations research proceedings 2011, Operations research proceedings. Springer, Berlin, pp 521–526. doi:10.1007/978-3-642-29210-1-83 CrossRef Densing M, Mayer J (2012) Multiperiod stochastic optimization problems with time-consistent risk constraints. In: Klatte D, Lüthi HJ, Schmedders K (eds) Operations research proceedings 2011, Operations research proceedings. Springer, Berlin, pp 521–526. doi:10.​1007/​978-3-642-29210-1-83 CrossRef
25.
Zurück zum Zitat EEX: European Energy Exchange (2011) Connecting markets - power, natural gas, emissions, coal, Leipzig EEX: European Energy Exchange (2011) Connecting markets - power, natural gas, emissions, coal, Leipzig
26.
28.
Zurück zum Zitat Eichhorn A, Heitsch H, Römisch W (2010) Stochastic optimization of electricity portfolios: Scenario tree modeling and risk management. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems II, Energy systems. Springer, Berlin, pp 405–432. doi:10.1007/978-3-642-12686-4 CrossRef Eichhorn A, Heitsch H, Römisch W (2010) Stochastic optimization of electricity portfolios: Scenario tree modeling and risk management. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems II, Energy systems. Springer, Berlin, pp 405–432. doi:10.​1007/​978-3-642-12686-4 CrossRef
32.
Zurück zum Zitat Fleten SE, Wallace SW, Ziemba WT (2002) Hedging electricity portfolios via stochastic programming. In: Greengard C, Ruszczyński A (eds) Decision making under uncertainty: energy and power. The IMA volumes in mathematics and its applications, vol 128. Springer, New York, pp 71–94. doi:10.1007/978-1-4684-9256-9 CrossRef Fleten SE, Wallace SW, Ziemba WT (2002) Hedging electricity portfolios via stochastic programming. In: Greengard C, Ruszczyński A (eds) Decision making under uncertainty: energy and power. The IMA volumes in mathematics and its applications, vol 128. Springer, New York, pp 71–94. doi:10.​1007/​978-1-4684-9256-9 CrossRef
34.
Zurück zum Zitat Fleten SE, Keppo J, Näsäkkälä E (2012) Risk management in electric utilities. In: Kouvelis P, Dong L, Boyabatli O, Li R (eds) Handbook of integrated risk management in global supply chains, Chap 18, 1st edn. Wiley, Hoboken, pp 495–513. doi:10.1002/9781118115800.ch18 Fleten SE, Keppo J, Näsäkkälä E (2012) Risk management in electric utilities. In: Kouvelis P, Dong L, Boyabatli O, Li R (eds) Handbook of integrated risk management in global supply chains, Chap 18, 1st edn. Wiley, Hoboken, pp 495–513. doi:10.​1002/​9781118115800.​ch18
35.
Zurück zum Zitat Fosso OB, Gjelsvik A, Haugstad A, Mo B, Wangensteen I (1999) Generation scheduling in a deregulated system - the Norwegian case. IEEE Trans Power Syst 14(1):75–81. doi:10.1109/59.744487 CrossRef Fosso OB, Gjelsvik A, Haugstad A, Mo B, Wangensteen I (1999) Generation scheduling in a deregulated system - the Norwegian case. IEEE Trans Power Syst 14(1):75–81. doi:10.​1109/​59.​744487 CrossRef
36.
Zurück zum Zitat Frauendorfer K, Güssow J (2002) Stochastic multistage programming in the operation and management of a power system. In: Marti K (ed) Stochastic optimization techniques – numerical methods and technical applications. Lecture notes in economics and mathematical system, vol 513. Springer, Berlin, pp 199–222 Frauendorfer K, Güssow J (2002) Stochastic multistage programming in the operation and management of a power system. In: Marti K (ed) Stochastic optimization techniques – numerical methods and technical applications. Lecture notes in economics and mathematical system, vol 513. Springer, Berlin, pp 199–222
38.
Zurück zum Zitat Gjelsvik A, Mo B, Haugstad A (2010) Long- and medium-term operations planning and stochastic modelling in hydro-dominated power systems based on stochastic dual dynamic programming. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I, Energy systems. Springer, Berlin, pp 33–55. doi:10.1007/978-3-642-02493-1 CrossRef Gjelsvik A, Mo B, Haugstad A (2010) Long- and medium-term operations planning and stochastic modelling in hydro-dominated power systems based on stochastic dual dynamic programming. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I, Energy systems. Springer, Berlin, pp 33–55. doi:10.​1007/​978-3-642-02493-1 CrossRef
43.
Zurück zum Zitat Hochreiter R, Wozabal D (2010) A multi-stage stochastic programming model for managing risk optimal electricity portfolios. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems II, Energy systems. Springer, Berlin, pp 383–404. doi:10.1007/978-3-642-12686-4 CrossRef Hochreiter R, Wozabal D (2010) A multi-stage stochastic programming model for managing risk optimal electricity portfolios. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems II, Energy systems. Springer, Berlin, pp 383–404. doi:10.​1007/​978-3-642-12686-4 CrossRef
44.
Zurück zum Zitat Iliadis NA, Pereira MVF, Granville S, Chabar R, Barroso LA (2007) Portfolio optimization of hydroelectric assets subject to financial indicators. In: 2007 IEEE power engineering society general meeting. Institute of Electrical and Electronics Engineers, pp 1–8. doi:10.1109/PES.2007.385726 Iliadis NA, Pereira MVF, Granville S, Chabar R, Barroso LA (2007) Portfolio optimization of hydroelectric assets subject to financial indicators. In: 2007 IEEE power engineering society general meeting. Institute of Electrical and Electronics Engineers, pp 1–8. doi:10.​1109/​PES.​2007.​385726
45.
46.
Zurück zum Zitat Jacobs J, Freeman G, Grygier J, Morton D, Schultz G, Staschus K, Stedinger J (1995) SOCRATES: a system for scheduling hydroelectric generation under uncertainty. Ann Oper Res 59(1):99–133. doi:10.1007/BF02031745 CrossRef Jacobs J, Freeman G, Grygier J, Morton D, Schultz G, Staschus K, Stedinger J (1995) SOCRATES: a system for scheduling hydroelectric generation under uncertainty. Ann Oper Res 59(1):99–133. doi:10.​1007/​BF02031745 CrossRef
48.
Zurück zum Zitat Kall P, Mayer J (2011) Stochastic linear programming: models, theory, and computation. In: International series in operations research & management science, vol 156, 2nd edn. Springer, New York. doi:10.1007/978-1-4419-7729-8 Kall P, Mayer J (2011) Stochastic linear programming: models, theory, and computation. In: International series in operations research & management science, vol 156, 2nd edn. Springer, New York. doi:10.​1007/​978-1-4419-7729-8
53.
Zurück zum Zitat Kristoffersen TK, Fleten SE (2010) Stochastic programming models for short-term power generation scheduling and bidding. In: Bjørndal E, Bjørndal M, Pardalos PM, Rönnqvist M (eds) Energy, natural resources and environmental economics, energy systems. Springer, Berlin, pp 187–200. doi:10.1007/978-3-642-12067-1 CrossRef Kristoffersen TK, Fleten SE (2010) Stochastic programming models for short-term power generation scheduling and bidding. In: Bjørndal E, Bjørndal M, Pardalos PM, Rönnqvist M (eds) Energy, natural resources and environmental economics, energy systems. Springer, Berlin, pp 187–200. doi:10.​1007/​978-3-642-12067-1 CrossRef
57.
Zurück zum Zitat Lucia JJ, Schwartz ES (2002) Electricity prices and power derivatives: evidence from the Nordic power exchange. Rev Derivatives Res 5:5–50CrossRef Lucia JJ, Schwartz ES (2002) Electricity prices and power derivatives: evidence from the Nordic power exchange. Rev Derivatives Res 5:5–50CrossRef
58.
Zurück zum Zitat Massé P (1946) Les réserves et la régulation de l’avenir dans la vie économique- avenir aléatoire. In: Actualités Scientifiques et Industrielles, vol 1008. Hermann and Cie, Paris Massé P (1946) Les réserves et la régulation de l’avenir dans la vie économique- avenir aléatoire. In: Actualités Scientifiques et Industrielles, vol 1008. Hermann and Cie, Paris
59.
Zurück zum Zitat Mo B, Gjelsvik A, Grundt A (2001) Integrated risk management of hydro power scheduling and contract management. IEEE Trans Power Syst 16(2):216–221. doi:10.1109/59.918289 CrossRef Mo B, Gjelsvik A, Grundt A (2001) Integrated risk management of hydro power scheduling and contract management. IEEE Trans Power Syst 16(2):216–221. doi:10.​1109/​59.​918289 CrossRef
62.
64.
66.
Zurück zum Zitat Pflug GC (2000) Some remarks on the value-at-risk and the conditional value-at-risk. In: Uryasev SP (ed) Pobabilistic constrained optimization. Nonconvex optimization and its application, vol 49, Chap 1. Kluwer Academic, Dordrecht, pp 272–281 Pflug GC (2000) Some remarks on the value-at-risk and the conditional value-at-risk. In: Uryasev SP (ed) Pobabilistic constrained optimization. Nonconvex optimization and its application, vol 49, Chap 1. Kluwer Academic, Dordrecht, pp 272–281
71.
Zurück zum Zitat Powell WB, George A, Simao H, Scott W, Lamont A, Stewart J (2012) Smart: a stochastic multiscale model for the analysis of energy resources, technology, and policy. INFORMS J Comput 24(4):665–682. doi:10.1287/ijoc.1110.0470 CrossRef Powell WB, George A, Simao H, Scott W, Lamont A, Stewart J (2012) Smart: a stochastic multiscale model for the analysis of energy resources, technology, and policy. INFORMS J Comput 24(4):665–682. doi:10.​1287/​ijoc.​1110.​0470 CrossRef
73.
Zurück zum Zitat Read EG, Hindsberger M (2010) Constructive dual DP for reservoir optimization. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I, Energy systems. Springer, Berlin, pp 3–32. doi:10.1007/978-3-642-02493-1 CrossRef Read EG, Hindsberger M (2010) Constructive dual DP for reservoir optimization. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I, Energy systems. Springer, Berlin, pp 3–32. doi:10.​1007/​978-3-642-02493-1 CrossRef
75.
Zurück zum Zitat Rockafellar RT, Uryasev S (2000) Optimization of conditional value-at-risk. J Risk 2:21–41 Rockafellar RT, Uryasev S (2000) Optimization of conditional value-at-risk. J Risk 2:21–41
77.
Zurück zum Zitat Römisch W, Vigerske S (2010) Recent progress in two-stage mixed-integer stochastic programming with applications to power production planning. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I, Energy systems. Springer, Berlin, pp 177–208. doi:10.1007/978-3-642-02493-1 CrossRef Römisch W, Vigerske S (2010) Recent progress in two-stage mixed-integer stochastic programming with applications to power production planning. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I, Energy systems. Springer, Berlin, pp 177–208. doi:10.​1007/​978-3-642-02493-1 CrossRef
81.
Zurück zum Zitat Tipping J, Read EG (2010) Hybrid bottom-up/to-down modeling of prices. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems II, Energy systems. Springer, Berlin, pp 213–238. doi:10.1007/978-3-642-12686-4 CrossRef Tipping J, Read EG (2010) Hybrid bottom-up/to-down modeling of prices. In: Rebennack S, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems II, Energy systems. Springer, Berlin, pp 213–238. doi:10.​1007/​978-3-642-12686-4 CrossRef
83.
Zurück zum Zitat Vespucci MT, Maggioni F, Bertocchi MI, Innorta M (2012) A stochastic model for the daily coordination of pumped storage hydro plants and wind power plants. Ann Oper Res 193(1):91–105. doi:10.1007/s10479-010-0756-4 CrossRef Vespucci MT, Maggioni F, Bertocchi MI, Innorta M (2012) A stochastic model for the daily coordination of pumped storage hydro plants and wind power plants. Ann Oper Res 193(1):91–105. doi:10.​1007/​s10479-010-0756-4 CrossRef
86.
Zurück zum Zitat Wallace SW, Fleten SE (2003) Stochastic programming models in energy. In: Ruszczyński A, Shapiro A (eds) Stochastic programming. Handbooks in operations research and management science, vol 10. Elsevier, London, pp 637–677 doi:10.1016/S0927-0507(03)10010-2 CrossRef Wallace SW, Fleten SE (2003) Stochastic programming models in energy. In: Ruszczyński A, Shapiro A (eds) Stochastic programming. Handbooks in operations research and management science, vol 10. Elsevier, London, pp 637–677 doi:10.​1016/​S0927-0507(03)10010-2 CrossRef
88.
Zurück zum Zitat Zivot E, Wang J (2006) Modelling financial time series with S-PLUS, 2nd edn. Springer, New York Zivot E, Wang J (2006) Modelling financial time series with S-PLUS, 2nd edn. Springer, New York
Metadaten
Titel
Price-Driven Hydropower Dispatch Under Uncertainty
verfasst von
Martin Densing
Copyright-Jahr
2013
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4614-9035-7_4