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Fuzzy Portfolio Optimization of Onshore Wind Power Plants

Author

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  • Madlener, Reinhard

    () (E.ON Energy Research Center, Institute for Future Energy Consumer Needs and Behavior (FCN), RWTH Aachen University)

  • Glensk, Barbara

    () (E.ON Energy Research Center, Institute for Future Energy Consumer Needs and Behavior (FCN), RWTH Aachen University)

  • Weber, Veronika

    () (RWTH Aachen University)

Abstract

In this paper we apply fuzzy set theory to the portfolio optimization of power generation assets, using a semi-mean absolute deviation (SMAD) model as a benchmark and a fuzzy semi-mean absolute deviation (FSMAD) model for comparison. The two models are applied to five onshore wind power plants in Germany considered for the portfolio analysis. The results show that the combinations of favorable assets for efficient portfolios are very similar, although the portfolio shares are markedly different. Also, the return and risk span of the SMAD model are much broader than those of the FSMAD model. The highest returns are generated by portfolios based on the latter model. Offering less portfolio choices, the FSMAD model thus facilitates decision-making. This is in compliance with the notion that portfolio optimization by fuzzy set theory is able to better account for the decision-maker’s preferences under real-world conditions.

Suggested Citation

  • Madlener, Reinhard & Glensk, Barbara & Weber, Veronika, 2011. "Fuzzy Portfolio Optimization of Onshore Wind Power Plants," FCN Working Papers 10/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN), revised Jul 2014.
  • Handle: RePEc:ris:fcnwpa:2011_010
    Note: Revised July 2014
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    References listed on IDEAS

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    1. Srichander Ramaswamy, 1998. "Portfolio selection using fuzzy decision theory," BIS Working Papers 59, Bank for International Settlements.
    2. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    3. Leon, T. & Liern, V. & Vercher, E., 2002. "Viability of infeasible portfolio selection problems: A fuzzy approach," European Journal of Operational Research, Elsevier, vol. 139(1), pages 178-189, May.
    4. Bar-Lev, Dan & Katz, Steven, 1976. "A Portfolio Approach to Fossil Fuel Procurement in the Electric Utility Industry," Journal of Finance, American Finance Association, vol. 31(3), pages 933-947, June.
    5. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    6. Glensk, Barbara & Madlener, Reinhard, 2010. "Fuzzy Portfolio Optimization for Power Generation Assets," FCN Working Papers 10/2010, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    7. Yusif Simaan, 1997. "Estimation Risk in Portfolio Selection: The Mean Variance Model Versus the Mean Absolute Deviation Model," Management Science, INFORMS, vol. 43(10), pages 1437-1446, October.
    8. Roques, Fabien & Hiroux, Céline & Saguan, Marcelo, 2010. "Optimal wind power deployment in Europe--A portfolio approach," Energy Policy, Elsevier, vol. 38(7), pages 3245-3256, July.
    9. Hiroshi Konno & Hiroaki Yamazaki, 1991. "Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market," Management Science, INFORMS, vol. 37(5), pages 519-531, May.
    10. Boris Krey & Peter Zweifel, 2006. "Efficient Electricity Portfolios for Switzerland and the United States," SOI - Working Papers 0602, Socioeconomic Institute - University of Zurich.
    11. Himpler, Sebastian & Madlener, Reinhard, 2011. "Repowering of Wind Turbines: Economics and Optimal Timing," FCN Working Papers 19/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
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    Citations

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    Cited by:

    1. Dergiades, Theologos & Madlener, Reinhard & Christofidou, Georgia, 2012. "The Nexus between Natural Gas Spot and Futures Prices at NYMEX: Do Weather Shocks and Non-Linear Causality in Low Frequencies Matter?," FCN Working Papers 17/2012, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN), revised Sep 2013.
    2. Rohlfs, Wilko & Madlener, Reinhard, 2011. "Multi-Commodity Real Options Analysis of Power Plant Investments: Discounting Endogenous Risk Structures," FCN Working Papers 22/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    3. Harmsen - van Hout, Marjolein & Ghosh, Gaurav & Madlener, Reinhard, 2013. "An Evaluation of Attribute Anchoring Bias in a Choice Experimental Setting," FCN Working Papers 6/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    4. Kraas, Birk & Schroedter-Homscheidt, Marion & Pulvermüller, Benedikt & Madlener, Reinhard, 2011. "Economic Assessment of a Concentrating Solar Power Forecasting System for Participation in the Spanish Electricity Market," FCN Working Papers 12/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    5. Rohlfs, Wilko & Madlener, Reinhard, 2013. "Challenges in the Evaluation of Ultra-Long-Lived Projects: Risk Premia for Projects with Eternal Returns or Costs," FCN Working Papers 13/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    6. Harmsen - van Hout, Marjolein & Ghosh, Gaurav & Madlener, Reinhard, 2013. "The Impact of Green Framing on Consumers’ Valuations of Energy-Saving Measures," FCN Working Papers 7/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).

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