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Optimal Supply Functions in Electricity Markets with Option Contracts and Non-smooth Costs

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  • Edward Anderson
  • Huifu Xu

Abstract

In this paper we investigate the optimal supply function for a generator who sells electricity into a wholesale electricity spot market and whose profit function is not smooth. In previous work in this area, the generator’s profit function has usually been assumed to be continuously differentiable. However in some interesting instances, this assumption is not satisfied. These include the case when a generator signs a one-way hedge contract before bidding into the spot market, as well as a situation in which a generator owns several generation units with different marginal costs. To deal with the non-smooth problem, we use the model of Anderson and Philpott, in which the generator’s objective function is formulated as a Stieltjes integral of the generator’s profit function along his supply curve. We establish the form of the optimal supply function when there are one-way contracts and also when the marginal cost is piecewise smooth. Copyright Springer-Verlag 2006

Suggested Citation

  • Edward Anderson & Huifu Xu, 2006. "Optimal Supply Functions in Electricity Markets with Option Contracts and Non-smooth Costs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 387-411, July.
    • Handle: RePEc:spr:mathme:v:63:y:2006:i:3:p:387-411
    DOI: 10.1007/s00186-006-0062-8
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    References listed on IDEAS

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    3. Joseph Mullins & Liam Wagner & John Foster, 2010. "Price Spikes in Electricity Markets: A Strategic Perspective," Energy Economics and Management Group Working Papers 05, School of Economics, University of Queensland, Australia.
    4. Dali Zhang & Huifu Xu & Yue Wu, 2010. "A two stage stochastic equilibrium model for electricity markets with two way contracts," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 1-45, February.

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