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Journal of Environmental Accounting and Management 8(2) (2020) 201--214 | DOI:10.5890/JEAM.2020.06.007

Wafae El Harraki$^{1}$, Driss Ouazar$^{1}$, Imad El Harraki$^{2}$, Ahmed Bouziane$^{1}$

$^{1}$ Mohammed V University, Mohammadia School of Engineers, Rabat, Morocco

$^{2}$ Rabat Superior National School of Mines, Morocco

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Abstract

This paper examines reservoir operation optimization considering probabilistic inflows. Optimal control of this model is obtained using Pontryagin’s Minimum Principle. The formulated problem includes non-linear equations on the state variables related to evaporation, stochastic inflows derived from historical time series and target ending storage constraint. Mohamed V dam is used as a case study to derive optimal operating rules through numerical simulation. The effect of inflows variability is demonstrated and a risk assessment of initial storage’s variation is discussed. A benchmark based on Genetic Algorithms showed the developed model’s performance. 9% of improvement for the low inflows scenario, are achieved.

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