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Optimal Storage, Investment and Management under Uncertainty: It is Costly to Avoid Outages!

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  • Joachim Geske
  • Richard Green

Abstract

We show how electricity storage is operated optimally when the load net of renewable output is uncertain. We estimate a diurnal Markov-process representation of how Germany’s residual load changed from hour to hour and design a simple dynamic stochastic electricity system model with non-intermittent generation technologies and storage. We derive the optimal storage, generator output and capacity levels. If storage capacity replaces some generation capacity, the optimal storage strategy must balance arbitrage (between periods of high and low marginal cost) against precautionary storage to ensure energy is available throughout a long peak in net demand. Solving the model numerically under uncertainty (only the transition probabilities to future loads are known), we compare the results to perfect foresight findings. The latter over-estimate the cost-saving potential of energy storage by 27%, as storage can take up arbitrage opportunities that would not be chosen if there was a need for precautionary storage.

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  • Joachim Geske & Richard Green, 2020. "Optimal Storage, Investment and Management under Uncertainty: It is Costly to Avoid Outages!," The Energy Journal, , vol. 41(2), pages 1-28, March.
    • Handle: RePEc:sae:enejou:v:41:y:2020:i:2:p:1-28
    DOI: 10.5547/01956574.41.2.jges
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    References listed on IDEAS

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    1. Simonsen, Ingve & Weron, Rafal & Mo, Birger, 2004. "Structure and stylized facts of a deregulated power market," MPRA Paper 1443, University Library of Munich, Germany.
    2. Möst, Dominik & Keles, Dogan, 2010. "A survey of stochastic modelling approaches for liberalised electricity markets," European Journal of Operational Research, Elsevier, vol. 207(2), pages 543-556, December.
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    Cited by:

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    6. Albert Hiesl & Amela Ajanovic & Reinhard Haas, 2020. "On current and future economics of electricity storage," Greenhouse Gases: Science and Technology, Blackwell Publishing, vol. 10(6), pages 1176-1192, December.
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    More about this item

    Keywords

    Electricity Storage; Uncertainty; Stochastic Electricity System Model; Precautionary Storage;
    All these keywords.

    JEL classification:

    • F0 - International Economics - - General

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