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Research Article Open access CC BY 3.0

Determination of Normal Operating Heights of Reservoirs in a Network Using Non-linear Reservoir Method

M. K. A. Abdulrahman, A. A. Moh’d Ismail, Sie Long Kek

Current Journal of Applied Science and Technology · pp. 34–47 · Published 17 Dec 2012

10.9734/BJAST/2014/1851

Abstract

In reservoir modeling, making the steady-state policy of the flood control is a challenging task. In this paper, the normal operating heights of a reservoir network is discussed. Initially, the coupled tank system is employed to model the reservoir network. At the equilibrium state, the normal operating heights are then derived analytically. As the linearization is taken, the associated Jacobian matrix, which is a diagonally dominant tridiagonal matrix with negative diagonal entries, is obtained. Because of the negative eigenvalues of this matrix, the stability condition of the reservoir network can be made. For illustration, the different rain rates are used to calculate the surface area of the reservoir and the corresponding normal operating heights of the reservoir are then determined. The result obtained shows the stability of the reservoir. In conclusion, the approach discussed is efficient to the decision making on the stability of a reservoir network.

Reservoir network coupled tank system tridiagonal matrix flood control steady state

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Cited by 5

Sustainability Analysis of Minimization of Spills from a Reservoir

Syamsul Hidayat, Ery Setiawan, Ida Bagus Giri Putra · Lecture Notes in Civil Engineering · 2022

An Expanded Optimal Control Policy for a Coupled Tanks System with Random Disturbance

Sie Long Kek, Sy Yi Sim, Chuei Yee Chen · Advances in Pure Mathematics · 2019

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