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Optimal Dispatch of Pumped Storage Hydro Cascade under Uncertainty

Najibi, F., Alonso, E. ORCID: 0000-0002-3306-695X & Apostolopoulou, D. ORCID: 0000-0002-9012-9910 (2018). Optimal Dispatch of Pumped Storage Hydro Cascade under Uncertainty. In: 2018 UKACC 12th International Conference on Control (CONTROL). Control 2018 – 12th International UKACC Conference on Control, 05 - 07 September 2018, Sheffield, UK.


In this paper, we propose an optimal dispatch scheme for a pumped storage hydro cascade that maximizes the energy per cubic meter of water in the system taking into account uncertainty in the net load variations. To this end, we introduce a model to describe the behaviour of a pumped storage hydro cascade and formulate its optimal dispatch. We then incorporate forecast scenarios in the optimal dispatch, and define a robust variant of the developed system. The resulting optimization problem is intractable due to the infinite number of constraints. Using tools from robust optimization, we reformulate the resulting problem in a tractable form that is amenable to existing numerical tools and show that the computed dispatch is immunised against uncertainty. The efficacy of the proposed approach is demonstrated by means of a realistic case study based on the Seven Forks system located in Kenya.

Publication Type: Conference or Workshop Item (Paper)
Additional Information: © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works
Publisher Keywords: Robust optimization, Hydroelectric system, Pumped storage hydro cascade, Optimal Dispatch Scheme
Subjects: T Technology > TC Hydraulic engineering. Ocean engineering
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Departments: School of Science & Technology > Computer Science
School of Science & Technology > Engineering
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