Coupling Chebyshev Collocation with TLBO to Optimal Control Problem of Reservoir Sedimentation: A Case Study on Golestan Dam, Gonbad Kavous City, Iran

Abstract

‎In this paper‎, ‎an efficient and robust approach based on the Chebyshev collocation method and Teaching-Learning-Based Optimization (TLBO) is utilized to solve the Optimal Control Problem (OCP) of reservoir sedimentation on Golestan dam in Gonbad Kavous City‎, ‎Iran‎. ‎The discretized method employs Mth degree of Lagrange polynomial approximation for an unknown variable and Gauss-Legendre integration‎. ‎The OCP yields a nonlinear programming problem (NLP)‎, ‎and then this NLP is solved by TLBO‎. ‎Numerical implementations are given to demonstrate this approach yields more acceptable and the accurate results‎. ‎Furthermore‎, ‎it is found that filling the dam with sediment decreases the water storage‎, ‎increases dam maintenance costs‎, ‎and also decreases the stability of the dam over a period of 40 years‎. ‎Our results show that the Golestan dam will gain development with the construction of the new reservoir‎.

Keywords

• optimal control
• reservoir sedimentation
• collocation method
• teaching learning based optimization
• golestan dam