Reservoir Network Modelling with Alternative Reservoir and Sediment Considerations
M. K. A. Abdulrahman *
Department of Mathematics, Statistics and Computer Science, Kaduna Polytechnic, Kaduna, Nigeria.
A. A. Mohd Ismail
Centre for Industrial and Applied Mathematics, Universiti Teknologi Malaysia, Malaysia.
Kek Sie Long
Department of Mathematics, Universiti Tun Hussein Onn, Malaysia.
*Author to whom correspondence should be addressed.
Abstract
Consideration of alternative reservoir in reservoir network for flood control is born out of the need to provide a complete formulation and provide solution to problem associated with sediment inflow. A set of (m+2) coupled nonlinear ODE is formulated for design and management of reservoir network for flood control. At steady state, the normal operating height of each reservoir in the network is determined. Linearizing the nonlinear systems and evaluating it at the obtained normal operating height give a clear and robust approach to determine the stability of the system. This approach to reservoir network modelling with inclusion of alternative reservoir gives a criterion for pump selection, flexible way of reservoir location and complete analysis of the network.
Keywords: Mathematical modelling, reservoir, steady state, nonlinear system, ODE, linearization