Abstract
Reasonable optimal operation policy for complex multiple reservoir systems is very important for the safe and efficient utilization of water resources. The operation policy of multiple hydropower reservoirs should be optimized to maximize total hydropower generation, while ensuring flood control safety by effective and efficient storage and release policy of multiple reservoirs. To achieve this goal, a new meta-heuristic algorithm, salp swarm algorithm (SSA), is used to optimize the joint operation of multiple hydropower reservoirs for the first time. SSA is a competitive bio-inspired optimizer, which has received substantial attention from researchers in a wide variety of applications in finance, engineering, and science because of its little controlling parameters and adaptive exploratory behavior. However, it still faces few drawbacks such as lack of exploitation and local optima stagnation, leading to a slow convergence rate. In order to tackle these problems, multiple strategies combining sine cosine operator, opposition-based learning mechanism, and elitism strategy are applied to the original SSA. The sine cosine operator is applied to balance the exploration and exploitation over the course of iteration; the opposition-based learning mechanism is used to enhance the diversity of the swarm; and the elitism strategy is adopted to find global optima. Then, the improved SSA (ISSA) is compared with six well-known meta-heuristic algorithms on 23 classical benchmark functions. The results obtained demonstrate that ISSA outperforms most of the well-known algorithms. Then, ISSA is applied to optimal operation of multiple hydropower reservoirs in the real world. A multiple reservoir system, namely Xiluodu Reservoir and Xiangjiaba Rservoir, in the upper Yangtze River of China are selected as a case study. The results obtained show that the ISSA is able to solve a real-world optimization problem with complex constraints. In addition, for the typical flood with a 100 return period in 1954, the maximum hydropower generation of multiple hydropower reservoirs is about 6671 GWh in the case of completing the flood control task, increasing by 1.18% and 1.77% than SSA and Particle Swarm Optimization (PSO), respectively. Thus, ISSA can be used as an alternative effective and efficient tool for the complex optimization of multiple hydropower reservoirs. The water resources in the river basin can be further utilized by the proposed method to cope with the increasingly serious climate change.
Highlights
The convergence curves of improved SSA (ISSA), salp swarm algorithm (SSA), and Particle Swarm Optimization (PSO) algorithms for optimal operation are shown in Figure 10, indicating that the total hydropower generation of multiple reservoir system eventually converges to the optimal solution over the course of iterations
A novel multiple strategy based salp swarm algorithm (ISSA) is proposed to cope with the drawbacks faced by the original SSA including slow convergence rate, unbalanced exploration and exploitation, and stagnation in local optima
The results demonstrate that ISSA outperforms most of the well-known metaheuristic algorithms, and has good scalability and the potential to solve optimization problems with high complexity in the real world
Summary
Electricity demand is substantially improved because of the increasing standards of living, industrialization, and growing populations [7,8] This increased demand has brought more concerns about the sustainable supply and development of water resources and the maximum of economic benefits of hydropower reservoirs because the hydropower is one of the most important clean energies [9,10]. It is well known that most of the reservoirs serve multiple purposes for hydropower generation, flood control, and other functions of water consumption [11,12]. The SSA algorithm is mainly developed to model the swarming and foraging behavior of salp chains formed during the aggregate phase.
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