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Mean-Variance optimization of power generation portfolios under uncertainty in the merit order

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Author Info

  • Malte Sunderkötter

    ()

  • Christoph Weber

    ()
    (Chair for Management Sciences and Energy Economics, University of Duisburg-Essen)

Abstract

In this article we discuss welfare-optimal capacity allocation of different electricity generation technologies available for serving system demand. While the classical peak load pricing theory derives the efficient portfolio structure from a deterministic marginal production cost curve ("merit order"), we investigate in particular the implications of possible reversals in the merit order —sometimes also referred to as fuel switch risks- induced by uncertain operating costs. We propose a static, non-convex optimization model combining the classic peak load pricing model with elements of mean-variance portfolio (MVP) theory and analytically discuss possible solution cases and important optimality properties. We examine the approach in a case study on the efficient structure of generation portfolios consisting of CCGT and hard coal technologies in Germany. With special emphasis, we study the emergence of overcapacities (exceeding maximal demand) in efficient portfolios and show that diversification is not beneficial per-se. The results show that the efficient technology mix may be significantly impacted by a risk for reversals in the merit order. Therefore, our findings support the importance of considering this risk factor especially with long-term investment horizons. The model is applicable to various investment problems related to production of nonstorable goods under price uncertainty of input factors. Similar problems can e.g. be found in transportation systems or in the process industry.

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File URL: http://www.wiwi.uni-due.de/fileadmin/fileupload/BWL-ENERGIE/Arbeitspapiere/RePEc/pdf/wp1105_PortfolioOptimizationWithReversalRisk.pdf
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Bibliographic Info

Paper provided by University of Duisburg-Essen, Chair for Management Science and Energy Economics in its series EWL Working Papers with number 1105.

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Length: 30 pages
Date of creation: Oct 2011
Date of revision: Oct 2011
Handle: RePEc:dui:wpaper:1105

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Fax: 0201 - 183 2292
Web page: http://www.ewl.wiwi.uni-due.de
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Related research

Keywords: power plant investments; peak load pricing; mean-variance portfolio theory; fuel mix diversification;

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References

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  1. Fleten, Stein-Erik & Maribu, Karl Magnus & Wangensteen, Ivar, 2005. "Optimal investment strategies in decentralized renewable power generation under uncertainty," MPRA Paper 218, University Library of Munich, Germany, revised Jun 2006.
  2. Robert S. Pindyck, 1999. "The Long-Run Evolutions of Energy Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 1-27.
  3. Crew, Michael A & Fernando, Chitru S & Kleindorfer, Paul R, 1995. "The Theory of Peak-Load Pricing: A Survey," Journal of Regulatory Economics, Springer, vol. 8(3), pages 215-48, November.
  4. Schwartz, Eduardo S, 1997. " The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-73, July.
  5. Robert S. Pindyck, 2001. "The Dynamics of Commodity Spot and Futures Markets: A Primer," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 1-30.
  6. Eduardo Schwartz & James E. Smith, 2000. "Short-Term Variations and Long-Term Dynamics in Commodity Prices," Management Science, INFORMS, vol. 46(7), pages 893-911, July.
  7. Gotham, Douglas & Muthuraman, Kumar & Preckel, Paul & Rardin, Ronald & Ruangpattana, Suriya, 2009. "A load factor based mean-variance analysis for fuel diversification," Energy Economics, Elsevier, vol. 31(2), pages 249-256, March.
  8. Malte Sunderkoetter & Christoph Weber, 2009. "Valuing fuel diversification in optimal investment policies for electricity generation portfolios," EWL Working Papers 0904, University of Duisburg-Essen, Chair for Management Science and Energy Economics, revised Nov 2009.
  9. Fleten, S.-E. & Maribu, K.M. & Wangensteen, I., 2007. "Optimal investment strategies in decentralized renewable power generation under uncertainty," Energy, Elsevier, vol. 32(5), pages 803-815.
  10. Mohammadi, Hassan, 2009. "Electricity prices and fuel costs: Long-run relations and short-run dynamics," Energy Economics, Elsevier, vol. 31(3), pages 503-509, May.
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