Abstract

Deriving optimal operation policies for multi-reservoir systems is a complex engineering problem. It is necessary to employ a reliable technique to efficiently solving such complex problems. In this study, five recently-introduced robust evolutionary algorithms (EAs) of Harris hawks optimization algorithm (HHO), seagull optimization algorithm (SOA), sooty tern optimization algorithm (STOA), tunicate swarm algorithm (TSA) and moth swarm algorithm (MSA) were employed, for the first time, to optimal operation of Halilrood multi-reservoir system. This system includes three dams with parallel and series arrangements simultaneously. The results of mentioned algorithms were compared with two well-known methods of genetic algorithm (GA) and particle swarm optimization (PSO) algorithm. The objective function of the optimization model was defined as the minimization of total deficit over 223 months of reservoirs operation. Four performance criteria of reliability, resilience, vulnerability and sustainability were used to compare the algorithms’ efficiency in optimization of this multi-reservoir operation. It was observed that the MSA algorithm with the best value of objective function (6.96), the shortest CPU run-time (6738 s) and the fastest convergence rate (< 2000 iterations) was the superior algorithm, and the HHO algorithm placed in the next rank. The GA, and the PSO were placed in the middle ranks and the SOA, and the STOA placed in the lowest ranks. Furthermore, the comparison of utilized algorithms in terms of sustainability index indicated the higher performance of the MSA in generating the best operation scenarios for the Halilrood multi-reservoir system. The application of robust EAs, notably the MSA algorithm, to improve the operation policies of multi-reservoir systems is strongly recommended to water resources managers and decision-makers.

Highlights

  • Deriving optimal operation policies for multi-reservoir systems is a complex engineering problem

  • The results indicated the higher efficiency of the developed model compared to the genetic algorithm (GA), the conventional particle swarm optimization (PSO), and the improved versions of PSO. ­Shaikh[16] utilized five different artificial neural network (ANN) models for optimal operation of Damodar Valley multi-purpose multireservoir system in India and documented the high capability of ANN models in this complex problem

  • To derive the long-term operation policies of Halilrood multi-purpose multi-reservoir dams, a series of recently introduced robust evolutionary algorithms in addition to the well-known GA and PSO algorithms were developed in this study

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Summary

Introduction

Deriving optimal operation policies for multi-reservoir systems is a complex engineering problem. Five recently-introduced robust evolutionary algorithms (EAs) of Harris hawks optimization algorithm (HHO), seagull optimization algorithm (SOA), sooty tern optimization algorithm (STOA), tunicate swarm algorithm (TSA) and moth swarm algorithm (MSA) were employed, for the first time, to optimal operation of Halilrood multi-reservoir system. This system includes three dams with parallel and series arrangements simultaneously. Abbreviations MCM Million cubic meter LP Linear programming NLP Non-linear programming DP Dynamic programming SDP Stochastic dynamic programming EA Evolutionary algorithm HHO Harris Hawks optimization SOA Seagull optimization algorithm STOA Sooty tern optimization algorithm TSA Tunicate swarm algorithm MSA Moth swarm algorithm GA Genetic algorithm PSO Particle swarm optimization WCA Water cycle algorithm HS Harmony search ICA Imperialist competition algorithm ANN Artificial neural network BA Bat algorithm SCE Shuffled complex evolution WSA Wolf search algorithm WOA Whale optimization algorithm MOMPC Multi-objective model predictive control

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