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A long-term unit commitment problem with hydrothermal coordination for economic and emission control in large-scale electricity systems

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  • Alexander Franz

    (Clausthal University of Technology)

  • Julia Rieck

    (University of Hildesheim)

  • Jürgen Zimmermann

    (Clausthal University of Technology)

Abstract

The paper describes a long-term scheduling problem for thermal power plants and energy storages. In addition, renewable energy sources are integrated by considering the residual demand. Besides the classical minimization of the production costs, emission-related costs are taken into account. Thereby, emission costs are determined by market prices for $$\hbox {CO}_2$$CO2 emission certificates (i.e., using the EU emissions trading system). For the proposed unit commitment problem with hydrothermal coordination for economic and emission control, an enhanced mixed-integer linear programming model is presented. Moreover, a new heuristic approach is developed, which consists of two solution stages. The heuristic first performs an isolated dispatching of thermal plants. Then, a re-optimization stage is included in order to embed activities of energy storages into the final solution schedule. The considered approach is able to find outstanding schedules for benchmark instances with a planning horizon of up to one year. Furthermore, promising results are also obtained for large-scale real-world electricity systems. For the German electricity market, the relationship of $$\hbox {CO}_2$$CO2 certificate prices and the optimal thermal dispatch is illustrated by a comprehensive sensitivity analysis.

Suggested Citation

  • Alexander Franz & Julia Rieck & Jürgen Zimmermann, 2020. "A long-term unit commitment problem with hydrothermal coordination for economic and emission control in large-scale electricity systems," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 235-259, March.
    • Handle: RePEc:spr:orspec:v:42:y:2020:i:1:d:10.1007_s00291-020-00576-y
    DOI: 10.1007/s00291-020-00576-y
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    References listed on IDEAS

    as
    1. Ralf Gollmer & Matthias Nowak & Werner Römisch & Rüdiger Schultz, 2000. "Unit commitment in power generation – a basic model and some extensions," Annals of Operations Research, Springer, vol. 96(1), pages 167-189, November.
    2. repec:dau:papers:123456789/10174 is not listed on IDEAS
    3. Andreas Wagner, 2014. "Residual Demand Modeling and Application to Electricity Pricing," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    4. Alexander Franz & Julia Rieck & Jürgen Zimmermann, 2017. "Two-Stage Heuristic Approach for Solving the Long-Term Unit Commitment Problem with Hydro-Thermal Coordination," Operations Research Proceedings, in: Karl Franz Dörner & Ivana Ljubic & Georg Pflug & Gernot Tragler (ed.), Operations Research Proceedings 2015, pages 667-673, Springer.
    5. Alexander Franz & Julia Rieck & Jürgen Zimmermann, 2019. "Fix-and-optimize procedures for solving the long-term unit commitment problem with pumped storages," Annals of Operations Research, Springer, vol. 274(1), pages 241-265, March.
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    Cited by:

    1. Olave-Rojas, David & Álvarez-Miranda, Eduardo, 2021. "Towards a complex investment evaluation framework for renewable energy systems: A 2-level heuristic approach," Energy, Elsevier, vol. 228(C).
    2. Benedikt Finnah, 2022. "Optimal bidding functions for renewable energies in sequential electricity markets," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 1-27, March.

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