Technical Papers
Jan 29, 2019

Optimal Hedging for Hydropower Operation and End-of-Year Carryover Storage Values

Publication: Journal of Water Resources Planning and Management
Volume 145, Issue 4

Abstract

Hedging rules for hydropower operation provide optimal decisions to hedge against extreme system loss from an energy shortfall in the future at the price of a small current loss. Aiming at determining optimal end-of-year carryover storage decisions, this paper develops a hedging model for hydropower operation and proposes a corresponding numerical solving procedure to derive optimal hedging rules. The overall solving procedure involves generating possible future inflow sequences, optimizing the hedging model with nonlinear programming (NLP) technique, and plotting the hedging rule with the optimal results in condition–decision forms. Results from a case study demonstrate the correctness and feasibility of the proposed model and procedure. Performance comparison between the generated hedging rule and standard operating policy (SOP) reveals that (1) in a dry period, hedging rules could provide optimal end-of-year carryover storage, which helps achieve more benefit and suffer less system loss compared with SOP; (2) forecast uncertainty greatly affects the operation for it reduces the benefit and increases the system loss; and (3) when water is abundant, hedging becomes trivial and the generated operating rules provide similar benefit and system loss compared with SOP. The proposed procedure and the implications could be applied to determine more rational end-of-year carryover storage decisions for hydropower operation considering inflow uncertainty.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The research performed and presented in this paper was supported by the National Nature Science Foundation of China (91547201, 51679027, and 51579029). We thank the editor, the associate editor and three anonymous reviewers for their constructive suggestions.

References

Abadie, J., and J. Carpentier. 1969. “Generalization of the Wolfe reduced gradient method to the case of nonlinear constraints.” In Optimization. New York: Academic Press.
Barros, M. T. L., F. T. Tsai, S. Yang, J. E. G. Lopes, and W. W. Yeh. 2003. “Optimization of large-scale hydropower system operations.” J. Water Res. Plann. Manage. 129 (3): 178–188. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:3(178).
Bayazit, M., and N. E. Ünal. 1990. “Effects of hedging on reservoir performance.” Water Resour. Res. 26 (4): 713–719. https://doi.org/10.1029/WR026i004p00713.
Bazaraa, M. S., H. D. Sherali, and C. M. Shetty. 2006. Nonlinear programming: Theory and algorithms. New York: Wiley.
Becker, L., and W. W. G. Yeh. 1974. “Optimization of real time operation of a multiple-reservoir system.” Water Resour. Res. 10 (6): 1107–1112. https://doi.org/10.1029/WR010i006p01107.
Bower, B. T., M. M. Hufschmidt, and W. W. Reedy. 1962. “Operating procedures: Their role in the design of water-resource systems by simulation analyses.” In Design of water resources systems, edited by A. Maass et al., 443–458. Cambridge, MA: Harvard University Press.
Bozorg-Haddad, O., P. S. Ashofteh, S. Rasoulzadeh-Gharibdousti, and M. A. Marino. 2014. “Optimization model for design-operation of pumped-storage and hydropower systems.” J. Energy Eng. 140 (2): 04013016. https://doi.org/10.1061/(ASCE)EY.1943-7897.0000169.
Chen, J., P. Zhong, B. Xu, and Y. Zhao. 2015. “Risk analysis for real-time flood control operation of a reservoir.” J. Water Res. Plann. Manage. 141 (8): 04014092. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000490.
Chen, L., J. McPhee, and W. W. Yeh. 2007. “A diversified multiobjective GA for optimizing reservoir rule curves.” Adv. Water Resour. 30 (5): 1082–1093. https://doi.org/10.1016/j.advwatres.2006.10.001.
Ding, W., C. Zhang, X. Cai, Y. Li, and H. Zhou. 2017. “Multiobjective hedging rules for flood water conservation.” Water Resources Res. 53 (3): 1963–1981. https://doi.org/10.1002/2016WR019452.
Draper, A. J., and J. R. Lund. 2004. “Optimal hedging and carryover storage value.” J. Water Resour. Plann. Manage. 130 (1): 83–87. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:1(83).
Feng, Z. K., W. J. Niu, J. Z. Zhou, and C. T. Cheng. 2017. “Multiobjective operation optimization of a cascaded hydropower system.” J. Water Resour. Plann. Manage. 143 (10): 05017010. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000824.
Hu, T., X. Z. Zhang, X. Zeng, and J. Wang. 2016. “A two-step approach for analytical optimal hedging with two triggers.” Water 8 (2): 52. https://doi.org/10.3390/w8020052.
Hui, R., J. Lund, J. Zhao, and T. Zhao. 2016. “Optimal pre-storm flood hedging releases for a single reservoir.” Water Resour. Manage. 30 (14): 5113–5129. https://doi.org/10.1007/s11269-016-1472-x.
Labadie, J. W. 2004. “Optimal operation of multireservoir systems: State-of-the-art review.” J. Water Resour. Plann. Manage. 130 (2): 93–111. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:2(93).
Liu, X. M., G. H. Huang, S. Wang, and Y. R. Fan. 2016. “Water resources management under uncertainty: Factorial multi-stage stochastic program with chance constraints.” Stochastic Environ. Res. Risk Assess. 30 (3): 945–957. https://doi.org/10.1007/s00477-015-1143-0.
Madani, K., and J. R. Lund. 2009. “Modeling California’s high-elevation hydropower systems in energy units.” Water Resour. Res. 45 (9): W09413. https://doi.org/10.1029/2008WR007206.
Ming, B., P. Liu, J. Chang, Y. Wang, and Q. Huang. 2017. “Deriving operating rules of pumped water storage using multiobjective optimization: Case study of the Han to Wei interbasin water transfer project, China.” J. Water Resour. Plann. Manage. 143 (10): 05017012. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000828.
Montanari, A., C. A. Shoemaker, and N. van de Giesen. 2009. “Introduction to special section on uncertainty assessment in surface and subsurface hydrology: An overview of issues and challenges.” Water Resources Res. 45 (12): W00B00. https://doi.org/10.1029/2009WR008471.
Neelakantan, T. R., and N. V. Pundarikanthan. 1999. “Hedging rule optimization for water supply reservoir system.” Water Resour. Manage. 13 (6): 409–426. https://doi.org/10.1023/A:1008157316584.
Neelakantan, T. R., and K. Sasireka. 2013. “Hydropower reservoir operation using standard operating and standard hedging policies.” Int. J. Eng. Tech. 5 (2): 1191–1196.
Nicklow, J., et al. 2010. “State of the art for genetic algorithms and beyond in water resources planning and management.” J. Water Resour. Plann. Manage. 136 (4): 412–432. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000053.
Sasireka, K., and T. R. Neelakantan. 2017. “Optimization of hedging rules for hydropower reservoir operation.” Sci. Iranica Trans. A Civ. Eng. 24 (5): 2242–2252. https://doi.org/10.24200/sci.2017.4153.
Shiau, J. T., and H. C. Lee. 2005. “Derivation of optimal hedging rules for a water-supply reservoir through compromise programming.” Water Resour. Manage. 19 (2): 111–132. https://doi.org/10.1007/s11269-005-1502-6.
Shih, J. S., and C. ReVelle. 1994. “Water-supply operations during drought: Continuous hedging rule.” J. Water Resour. Plann. Manage. 120 (5): 613–629. https://doi.org/10.1061/(ASCE)0733-9496(1994)120:5(613).
Shih, J. S., and C. ReVelle. 1995. “Water supply operations during drought: A discrete hedging rule.” Eur. J. Oper. Res. 82 (1): 163–175. https://doi.org/10.1016/0377-2217(93)E0237-R.
Soltanjalili, M.-J., O. Bozorg-Haddad, and M. A. Mariño. 2013. “Operating water distribution networks during water shortage conditions using hedging and intermittent water supply concepts.” J. Water Resour. Plann. Manage. 139 (6): 644–659. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000315.
Tayebiyan, A., T. A. M. Ali, A. H. Ghazali, and M. A. Malek. 2016. “Optimization of exclusive release policies for hydropower reservoir operation by using genetic algorithm.” Water Resour. Manage. 30 (3): 1203–1216. https://doi.org/10.1007/s11269-015-1221-6.
Tu, M.-Y., N.-S. Hsu, F. T.-C. Tsai, and W. W.-G. Yeh. 2008. “Optimization of hedging rules for reservoir operations.” J. Water Resour. Plann. Manage. 134 (1): 3–13. https://doi.org/10.1061/(ASCE)0733-9496(2008)134:1(3).
Tu, M.-Y., N.-S. Hsu, and W. W.-G. Yeh. 2003. “Optimization of reservoir management and operation with hedging rules.” J. Water Resour. Plann. Manage. 129 (2): 86–97. https://doi.org/10.1061/(ASCE)0733-9496(2003)129:2(86).
Valencia, D., and J. C. Schaake Jr. 1973. “Disaggregation processes in stochastic hydrology.” Water Resour. Res. 9 (3): 580–585. https://doi.org/10.1029/WR009i003p00580.
Vogel, R. M., and I. Wilson. 1996. “Probability distribution of annual maximum, mean, and minimum streamflows in the United States.” J. Hydro. Eng. 1 (2): 69–76. https://doi.org/10.1061/(ASCE)1084-0699(1996)1:2(69).
Wan, W., J. Zhao, J. R. Lund, T. Zhao, X. Lei, and H. Wang. 2016. “Optimal hedging rule for reservoir refill.” J. Water Resour. Plann. Manage. 142 (11): 04016051. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000692.
Wang, H., and J. Liu. 2013. “Reservoir operation incorporating hedging rules and operational inflow forecasts.” Water Resour. Manage. 27 (5): 1427–1438. https://doi.org/10.1007/s11269-012-0246-3.
Wang, J., C. Cheng, J. Shen, R. Cao, and W. W. G. Yeh. 2018. “Optimization of large-scale daily hydrothermal system operations with multiple objectives.” Water Resour. Res. 54 (4): 2834–2850. https://doi.org/10.1002/2017WR021291.
Wang, S., and G. H. Huang. 2014. “An integrated approach for water resources decision making under interactive and compound uncertainties.” Omega 44: 32–40. https://doi.org/10.1016/j.omega.2013.10.003.
Wang, S., and G. H. Huang. 2015. “A multi-level Taguchi-factorial two-stage stochastic programming approach for characterization of parameter uncertainties and their interactions: An application to water resources management.” Eur. J. Oper. Res. 240 (2): 572–581. https://doi.org/10.1016/j.ejor.2014.07.011.
Xu, B., P. A. Zhong, Y. Wu, F. Fu, Y. Chen, and Y. Zhao. 2017. “A multiobjective stochastic programming model for hydropower hedging operations under inexact information.” Water Resour. Manage. 31 (14): 4649–4667. https://doi.org/10.1007/s11269-017-1771-x.
You, J. Y., and X. Cai. 2008a. “Hedging rule for reservoir operations. 1: A theoretical analysis.” Water Resour. Res. 44 (1): W01415. https://doi.org/10.1029/2006WR005481.
You, J. Y., and X. Cai. 2008b. “Hedging rule for reservoir operations. 2: A numerical model.” Water Resour. Res. 44 (1): W01416. https://doi.org/10.1029/2006WR005482.
Zambon, R. C., M. T. L. Barros, J. E. G. Lopes, P. S. F. Barbosa, A. L. Francato, and W. W. G. Yeh. 2012. “Optimization of large-scale hydrothermal system operation.” J. Water Resour. Plann. Manage. 138 (2): 135–143. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000149.
Zeng, Y., X. Y. Wu, C. T. Cheng, and Y. Q. Wang. 2014. “Chance-constrained optimal hedging rules for cascaded hydropower reservoirs.” J. Water Resour. Plann. Manage. 140 (7): 04014010. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000427.
Zhao, J. S., X. M. Cai, and Z. J. Wang. 2011. “Optimality conditions for a two-stage reservoir operation problem.” Water Resour. Res. 47 (8): W08503. https://doi.org/10.1029/2010WR009971.
Zhao, T. T. G., J. S. Zhao, J. R. Lund, and D. W. Yang. 2014. “Optimal hedging rules for reservoir flood operation from forecast uncertainties.” J. Water Resour. Plann. Manage. 140 (12): 04014041. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000432.
Zhou, Y., G. Huang, S. Wang, Y. Zhai, and X. Xin. 2016. “Water resources management under dual uncertainties: A factorial fuzzy two-stage stochastic programming approach.” Stochastic Environ. Res. Risk Assess. 30 (3): 795–811. https://doi.org/10.1007/s00477-015-1145-y.
Zhu, F., P. A. Zhong, Y. Sun, and W. W. G. Yeh. 2017. “Real-time optimal flood control decision making and risk propagation under multiple uncertainties.” Water Resour. Res. 53 (12): 10635–10654. https://doi.org/10.1002/2017WR021480.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 145Issue 4April 2019

History

Received: Jan 29, 2018
Accepted: Sep 12, 2018
Published online: Jan 29, 2019
Published in print: Apr 1, 2019
Discussion open until: Jun 29, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Student, Institute of Hydropower and Hydroinformatics, School of Hydraulic Engineering, Dalian Univ. of Technology, Dalian 116024, China. Email: [email protected]
Chuntian Cheng [email protected]
Professor, Institute of Hydropower and Hydroinformatics, Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian Univ. of Technology, Dalian 116024, China (corresponding author). Email: [email protected]
Associate Professor, Institute of Hydropower and Hydroinformatics, Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian Univ. of Technology, Dalian 116024, China. Email: [email protected]
Jianjian Shen, Aff.M.ASCE [email protected]
Associate Professor, Institute of Hydropower and Hydroinformatics, Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian Univ. of Technology, Dalian 116024, China. Email: [email protected]
Ph.D. Student, Institute of Hydropower and Hydroinformatics, School of Hydraulic Engineering, Dalian Univ. of Technology, Dalian 116024, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share