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Robust Hedging of Electricity Retail Portfolios with CVaR Constraints

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 14))

Abstract

This paper suggests a way for electricity retailers to build their supply portfolios, calibrating their exposure to physical and financial contracts, in order to hedge from risks that variously affect the supply side in power markets. In particular, we formulate an allocation model which describes uncertainty sources using the robust approach originally introduced by Soyster (1973), and we provide an explicit form to robust risk constraints. The notable elements of innovation of this paper include: (a) the focus on the optimization problem faced by retailers, which is generally less explored than its counterpart in the generation side; (b) the analysis of uncertainty sources through the robust optimization paradigm, and (c) the representation of robust constraints based on Conditional Value at Risk (CVaR).

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References

  1. Ben-Tal, A., Nemirovski, A.: Robust Solutions of Linear Programming Problems Contaminated with Uncertain Data. Math. Progr. J. 88(3), 411–424 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ben-Tal, A., Margalit, T., Nemirovski, A.: Robust Modeling of Multi-Stage Portfolio Problems. In: Frenk, H., Roos, K., Terlaky, T., Zhang, S. (eds.) High Performance Optimizatio. Applied Optimization series, vol. 33, pp. 303–328. Kluwer Academic, Dordrecht (2000)

    Chapter  Google Scholar 

  3. Ben-Tal, A., Nemirovski, A.: Robust Optimization - Methodology and Applications. Math. Progr. J. 92(3), 453–480 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. Ben-Tal, A., Nemirovski, A.: Selected Topics in Robust Convex Optimization. Math. Progr. J. 112(1), 125–158 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Bertsimas, D., Brown, D., Caramanis, C.: Theory and Applications of Robust Optimization. Technical Report (July 2007)

    Google Scholar 

  6. Ben-Tal, A., Bertsimas, D., Brown, D.: A Flexible Approach to Robust Optimization via Convex Risk Measures. Technical Report (September 2006)

    Google Scholar 

  7. Dorris, G., Burrows, S.: Retail Risk–Based Pricing, A new approach to rate design. Public Utilities Fortnightly 142(3) (2004)

    Google Scholar 

  8. El–Khattam, W., Bhattacharya, K., Hegazy, Y., Salama, M.M.A.: Optimal Investment Planning for Distributed Generation in a Competitive Electricity Market. IEEE Trans. on Power Systems 19(3), 1674–1684 (2004)

    Article  Google Scholar 

  9. Gomez Villalva, E., Ramos, A.: Optimal Energy Management of an Industrial Consumer in Liberalized Markets. IEEE Trans. on Power Systems 18(2), 716–726 (2003)

    Article  Google Scholar 

  10. Lewiner, C.: Business and Technology Trends in the Global Utility Industries. IEEE Power Eng. Rev. 21(12), 7–9 (2001)

    Article  Google Scholar 

  11. Markowitz, H.M.: Portfolio Selection. J. of Finance 7(1), 77–91 (1952)

    Google Scholar 

  12. Soyster, A.L.: Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming. Op. Res. 21(5), 1154–1157 (1973)

    Article  MathSciNet  MATH  Google Scholar 

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© 2008 Springer-Verlag Berlin Heidelberg

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Resta, M., Santini, S. (2008). Robust Hedging of Electricity Retail Portfolios with CVaR Constraints. In: Le Thi, H.A., Bouvry, P., Pham Dinh, T. (eds) Modelling, Computation and Optimization in Information Systems and Management Sciences. MCO 2008. Communications in Computer and Information Science, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87477-5_29

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  • DOI: https://doi.org/10.1007/978-3-540-87477-5_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87476-8

  • Online ISBN: 978-3-540-87477-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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