Skip to main content

An Algorithm for Determining Closed-Loop Operations Policies for Multi-Reservoir Systems

  • Chapter
Stochastic and Statistical Methods in Hydrology and Environmental Engineering

Part of the book series: Water Science and Technology Library ((WSTL,volume 10/2))

Abstract

Closed-loop policies as available in stochastic dynamic programming (SDP) are generally preferred for long-term operations optimization. However, due to the well known ‘curse of dimensionality’, it is practically infeasible to solve multi-reservoir operations problems using SDP when it requires more than three or four state variables. An alternative is to reduce the dimension of the problem using approximate models that could provide closed-loop but sub-optimal policies. An extension of the aggregation/decomposition technique is used for model reduction and this new method is illustrated with two test problems. In the examples used to describe the application of this algorithm, the benefits determined from the sub-optimal policies are near optimal.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Fletcher, S., M. Bessa, K. Ponnambalam, and W.F. Curi, A comparison of stochastic optimization methods for multi-reservoir systems, to appear in the Proc. of the Intl Conf. on Stochastic and Statistical Methods in Hydro. and Environ. Engg., 1994.

    Google Scholar 

  • Georgakakos, A.P., Extended linear quadratic Gaussian control: Further extensions, Water Resour. Res., 25 (2), 191–201, 1989.

    Article  Google Scholar 

  • Kelman, J., J.R. Stedinger, LA. Cooper, E. Hsu, and S. Yuan, Sampling stochastic dynamic programming applied to reservoir operation, Water Resour. Res., 26 (3), 447–454, 1990.

    Article  Google Scholar 

  • Pereira, M.V.F., and L.M.V.G. Pinto, Multi-stage stochastic optimization applied to energy planning, Math. Progr., 52 (2), 1991.

    Google Scholar 

  • onnambalam, K., Optimization of the integrated operation of multi-reservoir irrigation systems, Ph.D. Dissertation, Dep. of Civ. Engrg., Univ. of Toronto, Toronto, Ontario, Canada, 1987.

    Google Scholar 

  • Ponnambalam, K., and B.J. Adams, Experiences with integrated irrigation system optimization analysis, Irrigation and Water Allocation, IMIS Publ. No.169, 229–245, 1987.

    Google Scholar 

  • Saad, M., A. Turgeon, and J.R. Stedinger, Censored-data correlation and principal component dynamic programming, Water Resour. Res., 28 (8), 2135–2140, 1992.

    Article  Google Scholar 

  • Turgeon, A., Optimal operation of multireservoir power systems with stochastic inflows, Water Resour. Res., 16 (2), 275–283, 1980.

    Article  Google Scholar 

  • Turgeon, A., A decomposition method for the long-term scheduling of reservoirs in series, Water Resour. Res., 17 (6), 1565–1570, 1981.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Adams, B.J., Ponnambalam, K. (1994). An Algorithm for Determining Closed-Loop Operations Policies for Multi-Reservoir Systems. In: Hipel, K.W., Fang, L. (eds) Stochastic and Statistical Methods in Hydrology and Environmental Engineering. Water Science and Technology Library, vol 10/2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3081-5_29

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-3081-5_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4380-1

  • Online ISBN: 978-94-017-3081-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics