Abstract

Joint operation of the Longyangxia and Liujiaxia reservoirs (Long-Liu operation) is of great significance for water and sediment regulation in the Yellow River. The water–sediment–electricity coupling system is a giant system with complex nonlinear relationships. A reliable Long-Liu operation scheme facilitates maximization of the benefits of the water–sediment–electricity system. Based on systems thinking, this paper quantitatively evaluated the reliability of different Long-Liu operation schemes and coordination of the water–sediment–electricity coupling system through the entropy weight method and dissipative structure model. The results indicated that the current operation scheme is more reliable than the adjusted scheme at the inter-annual scale and during the summer-autumn flood season and ice flood season within a year. However, the operation scheme should be improved during the spring irrigation period. The key factors influencing the quality of the water–sediment–electricity system include the outflow of the Liujiaxia reservoir, incoming sediment load into the Yellow River at Toudaoguai, sediment inflow-outflow difference in the Ningxia-Inner Mongolia Reach, water flow at Lanzhou and power generation upstream of Toudaoguai. The water–sediment–electricity system under the current Long-Liu operation scheme is more coordinated than that in the adjusted state, but the overall coordinated development of the system remains at a low activity level.

Highlights

  • Joint operation of the Longyangxia and Liujiaxia reservoirs (Long-Liu operation) is of great significance for water and sediment regulation in the Yellow River

  • The optimal operation scheme is searched with algorithms, which have been developed from traditional dynamic programming algorithms, such as linear programming (LP), nonlinear programming, mixed-integer linear programming and fuzzy m­ odels[10,11,12,13,14,15] into intelligent optimization algorithms, such as neural networks, genetic algorithms, partical swarm optimization and differential evolution ­algorithms[16,17,18,19,20,21,22,23,24]

  • A lower negative entropy, i.e., a higher absolute value, indicates that external operation control promotes a more coordinated evolution of the water–sediment–electricity system, reducing the disorder attributed to internal system development, and the entropy reduction effect is more obvious

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Summary

Introduction

Joint operation of the Longyangxia and Liujiaxia reservoirs (Long-Liu operation) is of great significance for water and sediment regulation in the Yellow River. This paper quantitatively evaluated the reliability of different Long-Liu operation schemes and coordination of the water–sediment–electricity coupling system through the entropy weight method and dissipative structure model. Sediment and electricity joint operation system in a given basin is a giant complex system with multiple factors, levels, objectives, constraints, functions and ­stages[1], comprehensive integration methods combining qualitative and quantitative approaches have been widely applied in operation scheme evaluation, such as the analytic hierarchy process, comprehensive index evaluation method, TOPSIS, gray correlation method, and improved entropy ­method[25,26,27,28]. There are few reports on the application of this model in the assessment of operation schemes by evaluating the coordination of the water–sediment–electricity system under the influence of these reservoir operation schemes

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