Multi-objective optimization of stepped spillways using Harris Hawks Optimization algorithm (Case study: Down Siah Bisheh Dam)

Document Type : Original Article

Authors

1 Assistant Professor, Department of Civil Engineering, University of Ayatollah Ozma Boroujerdi, Boroujerd, Iran

2 Master student of water engineering and hydraulic structures, Department of Civil Engineering, Faculty Engineering, Ayatollah Boroujerdi University, Iran

3 Assistant Professor, Department of Civil Engineering, Faculty Engineering, Ayatollah Boroujerdi University, Iran,

10.22125/iwe.2023.376267.1693

Abstract

Step spillways are an example of these massive hydraulic structures that, in addition to passing the excess water of the dams, also cause the consumption of flow energy downstream of the dams. Considering the complex hydraulics of the flow on these spillways and the presence of nonlinear limitations, their optimal design is a very difficult problem. In this study, a new framework based on Metaheuristic algorithms, including Harris's hawk Optimization (HHO), gray wolf Optimizer (GWO), invasive weeds Optimization (IWO) and water cycle Algorithm (WCA), considering the minimization of the amount of concrete used in spillway and the maximization of energy dissipation in Spillway toe were developed as objective functions to design these spillways. Algorithms' performance was first checked and validated on basic functions. Then, to achieve the objectives of the study, the spillway of the Siah Bisheh dam was selected as the study dam and the efficiency of the developed models based on the four mentioned algorithms was evaluated on it. The results showed that, in addition to improving the current spillway design in terms of construction costs and dissipation energy, the HHO-based model has good accuracy and convergence compared to other Metaheuristic algorithms. As the comparison of the design obtained from HHO with the current spillway design showed, in addition to a 35% reduction in the volume of concrete consumed, the amount of energy dissipation increased by 15%, which indicates the success of the design model developed in a multi-objective manner using HHO.

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