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research article

A Planner-Trader Decomposition for Multi-Market Hydro Scheduling

Schindler, Kilian  
•
Rujeerapaiboon, Napat
•
Kuhn, Daniel  
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2024
Operations Research

Peak/off-peak spreads on European electricity forward and spot markets are eroding due to the ongoing nuclear phaseout 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 bi-layer 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.

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Type
research article
DOI
10.1287/opre.2023.2456
ArXiv ID

arXiv:2103.02806v1

Author(s)
Schindler, Kilian  
Rujeerapaiboon, Napat
Kuhn, Daniel  
Wiesemann, Wolfram
Date Issued

2024

Published in
Operations Research
Volume

72

Issue

1

Start page

185

End page

202

Subjects

Hydro scheduling

•

Reserve markets

•

Planner-trader decomposition

•

Stochastic programming

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
RAO  
Available on Infoscience
March 5, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/175721
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