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Optimal Dynamic Management of a Renewable Energy Source under Uncertainty

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  • Catherine BOBTCHEFF
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    Abstract

    We consider a risk averse planner who has access to different energy sources to produce electricity; hydroelectricity is produced with a dam and thermal electricity is obtained from an unlimited supply at some exogenous cost. The dam is supplied with a random water ow. The presence of constraints on a minimal and maximal storage capacity makes electricity consumption smoothing possible only when the quantity of water available to the agent lies in a certain range that is determined. Consumption smoothing is possible even when the dam is almost empty thanks to the alternative costly energy source. Moreover, a comparative statics analysis reveals that the marginal propensity to produce hydroelectricity is an increasing function of the cost of the second technology. Therefore, the availability of the fossil source at a low cost improves time diversification. Finally, the optimal electric park is composed of a number of dams that increases with the cost of the alternative technology.

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    Bibliographic Info

    Article provided by ENSAE in its journal Annals of Economics and Statistics.

    Volume (Year): (2011)
    Issue (Month): 103-104 ()
    Pages: 143-174

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    Handle: RePEc:adr:anecst:y:2011:i:103-104:p:08

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