Optimal Sizing of a Multiple Reservoir System Using Simulation Linked Dynamic Programming

Abstract

In this paper, a simulation linked dynamic programming model is presented for determination of optimal sizes of reservoirs in a multiple reservoir system. These reservoirs satisfy the individual as well as the combined water demands from the system at a minimum cost. Simulation is used for the determination of reservoirs’ storage-yield-cost functions, thereafter, dynamic programming is applied on these functions to get the optimal sizes of the reservoirs. A practical application of the model is made to an existing multiple-reservoir system, namely the Damodar Valley Reservoir System of Eastern India. There is an indication of better storage allocation to reservoirs by this model compared to the design values, resulting in cost saving of Rs. 160 cr.

Keywords: Simulation, Dynamic programming, Reservoir, Reservoir system, Optimal cost