Determination and analysis of reservoir storage discretization in Jamishan dam using stochastic dynamic programming with different objective functions

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FATEMI S.E.; KOOHI H.

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Journal: Journal of Water and Soil Conservation Year:2019 | Volume:26 | Issue:2 Page(s): 97-115

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Title

Determination and analysis of reservoir storage discretization in Jamishan dam using stochastic dynamic programming with different objective functions

Author(s)

FATEMI S.E. | KOOHI H. | Issue Writer Certificate

Keywords

Objective functionQ1

Reservoir operationQ1

Reservoir storage discretizationQ1

Stochastic Dynamic programmingQ1

Abstract

Background and Objectives: Nowadays, water scarcity is one of the current issue in Iran. And this issue more than ever reveals the needs for an appropriate water resources management. Stochastic Dynamic programming (SDP) is one of the extracting methods to obtain the Reservoir operation rules. In this method, one of the most important factors to find the optimal solution is discretization of the storage capacity and reservoir inflow. In this research, to achieve optimal storage discretization by SDP method and considering tree types of Objective function (α = 0, α = 0. 5, α = 1) with the constant reservoir inflow classes, some storage classes (3, 5, 7 and 10) are analyzed. Materials and Methods: In this study, the SDP model has been used to find the optimal storage of Jamishan reservoir by any Objective functions. By having historical reservoir inflow time series and storage volume, reservoir inflow and storage are discretized into 3 classes with equal length intervals method and also 3, 5, 7 and 10 classes with Moran method, respectively. This method is applied by considering Objective function as a minimization of system damage for each combination of the reservoir inflow and storage classes (k, i). By achieving the steady policy at each period, the amount of reservoir Inflow, storage and release are deterministically defined. Results: The results showed that in case of α = 0, the optimal storage capacity considering just downstream water supply of demands as an Objective function, is k = 7 and there is minimum water deficit. In addition, this would be 10 classes in case of α = 1, which the amount of difference between reservoir storage and its desirable would be changed from constant value and the first decreasing change would be appear. Obtaining reservoir storage classes is also affected by method of discretization since this value is obtained 10 for classic and Moran method with the same result and 7 in Savarenskiy method. That is selected k = 10 based on the equal Objective function in case of α = 0. 5 considered two objectives of reservoir release storage volume simultaneously as well. Conclusion: Since the Objective function is only reservoir release and water allocation, the optimal reservoir storage class would occur at the point where the water deficit is constant by increasing the number of storage classifications which k = 7 is the optimal class in this case. In the second scenario the best discretized class of the reservoir storage is the point which has the closest vicinity to the target storage (Ts). So, in this case, k = 10 is the optimum reservoir storage. In the third scenario, by choosing k = 10, two goals minimizing the amount of storage and release from the desired values, are well regarded in this case and also the first decreasing changes is happened in k = 10.

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APA: Copy

FATEMI, S.E., & KOOHI, H.. (2019). Determination and analysis of reservoir storage discretization in Jamishan dam using stochastic dynamic programming with different objective functions. JOURNAL OF WATER AND SOIL CONSERVATION (JOURNAL OF AGRICULTURAL SCIENCES AND NATURAL RESOURCES), 26(2 ), 97-115. SID. https://sid.ir/paper/156209/en

Vancouver: Copy

FATEMI S.E., KOOHI H.. Determination and analysis of reservoir storage discretization in Jamishan dam using stochastic dynamic programming with different objective functions. JOURNAL OF WATER AND SOIL CONSERVATION (JOURNAL OF AGRICULTURAL SCIENCES AND NATURAL RESOURCES)[Internet]. 2019;26(2 ):97-115. Available from: https://sid.ir/paper/156209/en

IEEE: Copy

S.E. FATEMI, and H. KOOHI, “Determination and analysis of reservoir storage discretization in Jamishan dam using stochastic dynamic programming with different objective functions,” JOURNAL OF WATER AND SOIL CONSERVATION (JOURNAL OF AGRICULTURAL SCIENCES AND NATURAL RESOURCES), vol. 26, no. 2 , pp. 97–115, 2019, [Online]. Available: https://sid.ir/paper/156209/en

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