Abstract
Modern hydroelectric power stations are characterised by the possibility of reversing the turbine; this means that they cannot only pump water down but they can also pump it up from a downstream reservoir to an upstream one. This allows the recirculation of water, i.e. the use of the same volume of water repeatedly, and can be useful for hydro-electric stations that do not have a sufficient water supply. Usually pumping water upstream is done in order to make a higher profit; in fact at times of low demand for electricity it is possible to pump water up to a higher reservoir and build up reserves in order to be able to produce energy during peak hours.
We consider a system of four hydro-electric plants, displayed at different altitudes and with different capacities, interacting in a cascade arrangement. In the present work a model is studied which allows the system to maximise the profit, by choosing when each reservoir should pump water up or pump water down.
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Acknowledgements
This work was partially supported by the Centre for Mathematics of the University of Coimbra—UID/MAT/00324/2019 and by the Institute for Systems Engineering and Computers—Coimbra—UID/MULTI/00308/2019, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020.
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Pascoal, M. (2020). Optimising a Cascade of Hydro-Electric Power Stations. In: Lindner, E., Micheletti, A., Nunes, C. (eds) Mathematical Modelling in Real Life Problems. Mathematics in Industry(), vol 33. Springer, Cham. https://doi.org/10.1007/978-3-030-50388-8_11
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DOI: https://doi.org/10.1007/978-3-030-50388-8_11
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