A planner-trader decomposition for multi-market hydro scheduling
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Accepted version
Author(s)
Schindler, Kilian
Rujeerapaiboon, Napat
Kuhn, Daniel
Wiesemann, Wolfram
Type
Journal Article
Abstract
Peak/off-peak spreads on European electricity forward and spot markets are eroding due to the ongoing nuclear phaseout in Germany and the steady growth in photovoltaic capacity. The reduced profitability of peak/off-peak arbitrage forces hydropower producers to recover part of their original profitability on the reserve markets. We propose a bilayer stochastic programming framework for the optimal operation of a fleet of interconnected hydropower plants that sells energy on both the spot and the reserve markets. The outer layer (the planner’s problem) optimizes end-of-day reservoir filling levels over one year, whereas the inner layer (the trader’s problem) selects optimal hourly market bids within each day. Using an information restriction whereby the planner prescribes the end-of-day reservoir targets one day in advance, we prove that the trader’s problem simplifies from an infinite-dimensional stochastic program with 25 stages to a finite two-stage stochastic program with only two scenarios. Substituting this reformulation back into the outer layer and approximating the reservoir targets by affine decision rules allows us to simplify the planner’s problem from an infinite-dimensional stochastic program with 365 stages to a two-stage stochastic program that can conveniently be solved via the sample average approximation. Numerical experiments based on a cascade in the Salzburg region of Austria demonstrate the effectiveness of the suggested framework.
Date Issued
2024-01-01
Date Acceptance
2023-03-16
Citation
Operations Research, 2024, 72 (1), pp.185-202
ISSN
0030-364X
Publisher
Institute for Operations Research and Management Sciences
Start Page
185
End Page
202
Journal / Book Title
Operations Research
Volume
72
Issue
1
Copyright Statement
Copyright © 2023, INFORMS
Identifier
https://pubsonline.informs.org/doi/abs/10.1287/opre.2023.2456
Publication Status
Published
Date Publish Online
2023-04-18