Abstract.
For a price-taking generator operating a hydro-electric reservoir in a pool electricity market, the optimal stack to offer in each trading period over a planning horizon can be computed using dynamic programming. However, the market trading period (usually 1 hour or less) may be much shorter than the inherent time scale of the reservoir (often many months). We devise a dynamic programming model for such situations in which each stage represents many trading periods. In this model, the decision made at the beginning of each stage consists of a target mean and variance of the water release in the coming stage. This decomposes the problem into inter-stage and intra-stage subproblems.
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Pritchard, G., Philpott, A. & Neame, P. Hydroelectric reservoir optimization in a pool market. Math. Program. 103, 445–461 (2005). https://doi.org/10.1007/s10107-004-0565-0
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DOI: https://doi.org/10.1007/s10107-004-0565-0