Advanced Search
MyIDEAS: Login to save this paper or follow this series

Efficiency Rents of Pumped-Storage Plants and their Uses for Operation and Investment Decisions

Contents:

Author Info

  • Anthony Horsley
  • Andrew J Wrobel

Abstract

We apply duality methods of linear and convex programming to the problems of operation and rental valuation of facilities for conversion and storage of cyclically priced goods, e.g. , energy. Both problems are approached by shadow-pricing the stock (which is a purely intermediate commodity); and if the given market price p for the final good is a continuous function of time, then the stock's shadow price function ? is shown to be unique (and continuous). Therefore, despite being perfect Allen-Hicks complements, the plant's capacities have definite and separate marginal values, which are expressed in terms of ? (and p). In particular, the unit reservoir rent equals the total positive variation of ? over the cycle. The optimal storage policy is also given in terms of ? and p). The marginal capacity values are used to determine the optimum investment. The framework can accommodate related storage problems (such as hydroelectric generation).

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://sticerd.lse.ac.uk/dps/te/te405.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Theoretical Economics Paper Series with number 405.

as in new window
Length:
Date of creation: Nov 2000
Date of revision:
Handle: RePEc:cep:stitep:405

Contact details of provider:
Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp

Related research

Keywords: Pumped storage; peak-load pricing; marginal values; linear programming;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Anthony Horsley & Andrew J Wrobel, 2000. "The Short-Run Approach to LRMC Pricing for Multiple Outputs with Nondifferentiable Costs," STICERD - Theoretical Economics Paper Series 393, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  2. Anthony Horsley & Andrew J. Wrobel & Timothy Van Zandt, 1998. "Berge's maximum theorem with two topologies on the action set," LSE Research Online Documents on Economics 19358, London School of Economics and Political Science, LSE Library.
  3. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  4. Anthony Horsley & Andrew Wrobel, 2005. "Continuity of the equilibrium price density and its uses in peak-load pricing," Economic Theory, Springer, vol. 26(4), pages 839-866, November.
  5. Anthony Horsley & Andrew J. Wrobel, 1999. "Efficiency rents of storage plants in peak-load pricing, ii: hydroelectricity," LSE Research Online Documents on Economics 19342, London School of Economics and Political Science, LSE Library.
  6. Pyatt, Graham, 1978. "Marginal Costs, Prices and Storage," Economic Journal, Royal Economic Society, vol. 88(352), pages 749-62, December.
  7. D.T. Nguyen, 1976. "The Problems of Peak Loads and Inventories," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 242-248, Spring.
  8. Anthony Horsley & Andrew J Wrobel, 1996. "Efficiency Rents of Storage Plants in Peak-Load Pricing, I: Pumped Storage," STICERD - Theoretical Economics Paper Series /1996/301, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  9. Anthony Horsley & Andrew J Wrobel, 1999. "Efficiency Rents of Storage Plants in Peak-Load Pricing, II: Hydroelectricity - (Now published as Efficiency rents of hydroelectric storage plants in continuous-time peak-load pricing, in The Current ," STICERD - Theoretical Economics Paper Series 372, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  10. Tjalling C. Koopmans, 1957. "Water Storage Policy in a Simplified Hydroelectric System," Cowles Foundation Discussion Papers 26, Cowles Foundation for Research in Economics, Yale University.
  11. Gravelle, H S E, 1976. "The Peak Load Problem with Feasible Storage," Economic Journal, Royal Economic Society, vol. 86(342), pages 256-77, June.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Anthony Horsley & Andrew J. Wrobel, 2005. "The Wong-Viner envelope theorem for subdifferentiable functions," LSE Research Online Documents on Economics 19309, London School of Economics and Political Science, LSE Library.
  2. Bjarne Steffen & Christoph Weber, 2011. "Efficient storage capacity in power systems with thermal and renewable generation," EWL Working Papers 1104, University of Duisburg-Essen, Chair for Management Science and Energy Economics, revised Aug 2011.
  3. Anthony Horsley & Andrew J Wrobel, 2005. "A Practical Short-run Approach to Market Equilibrium," STICERD - Theoretical Economics Paper Series /2005/488, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  4. Anthony Horsley & Andrew Wrobel, 2005. "Continuity of the equilibrium price density and its uses in peak-load pricing," Economic Theory, Springer, vol. 26(4), pages 839-866, November.
  5. Anthony Horsley & Andrew J. Wrobel, 2005. "Characterizations of long-run producer optima and the short-run approach to long-run market equilibrium: a general theory with applications to peak-load pricing," LSE Research Online Documents on Economics 19307, London School of Economics and Political Science, LSE Library.
  6. Horsley, Anthony & Wrobel, Andrew J., 2007. "Profit-maximizing operation and valuation of hydroelectric plant: A new solution to the Koopmans problem," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 938-970, March.
  7. Crampes, Claude & Moreaux, Michel, 2010. "Pumped storage and cost saving," Energy Economics, Elsevier, vol. 32(2), pages 325-333, March.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:cep:stitep:405. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.