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Optimal Operation of a Parallel Multireservoir System for Flood Control using a Stagewise Compensation Method

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Abstract

Optimal operation of multireservoir flood control systems is a nonlinear and high-dimensional problem. For a parallel multireservoir system, the impact of joint compensation flood control operation for each reservoir on reducing the peak flow downstream should be considered. This study proposed an optimization method called the stagewise compensation method (SWCM) for flood control operation of a parallel multireservoir system based on the concept of three-stage flood control operation and compensation flood control operation. The dynamic programming-progressive optimality algorithm (DP-POA) was also implemented to verify the solutions of SWCM. The Ji’an parallel multireservoir system was selected as a case study. The results show that SWCM can decompose a parallel multireservoir system into a single-reservoir system and consider the impact of the joint compensation operation for each reservoir on reducing peak flow in the downstream area. When applying SWCM, the reduction rate of typical and 10-year, 20-year, 30-year, 50-year and 100-year designed flood peaks at Ji’an hydrological station can reach over 12% on average, which is great progress compared with conventional flood control operation rules and DP-POA.

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Data available after request from the corresponding author.

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Acknowledgments

This research was funded by the National Natural Science Foundation of China (no. 51909112) and the Science and Technology Project of the Department of Water Resources of Jiangxi Province (no. 202023ZDKT02).

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Contributions

Conceptualization, methodology, formal analysis, investigation, writing original draft preparation, Di Zhu; Writing, review and editing, Yadong Mei; Data curation, Xinfa Xu and Zhangjun Liu; Resources, Supervision, and updating some parts, Zhangjun Liu, Zhenhui Wu and Hao Cai.

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Correspondence to Yadong Mei.

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Appendix

Appendix

Fig. 7
figure 7

The procedure of applying SWCM to the parallel multireservoir system

Fig. 8
figure 8

The procedure of DP-POA

Fig. 9
figure 9

Skeleton of the Ji’an parallel multireservoir flood control system

Fig. 10
figure 10

The inflow of each reservoir and streamflow of Ji’an station for three typical years. (a) Inflow of the Wan’an reservoir, (b) Inflow of the Laoyingpan reservoir, (c) Inflow of the Baiyunshan reservoir, (d) Inflow of the Luotan reservoir, (e) Inflow of the Nanche reservoir, (f) Inflow of the Sheshang reservoir, (g) Inflow of the Donggu reservoir, (h) Local flow, (i) Streamflow of the Ji’an station

Table 3 Characteristic parameters of seven reservoirs
Table 4 The Muskingum method coefficients of the stream segments
Table 5 Conventional flood control operation rules of the Wan’an reservoir

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Zhu, D., Mei, Y., Xu, X. et al. Optimal Operation of a Parallel Multireservoir System for Flood Control using a Stagewise Compensation Method. Water Resour Manage 35, 1689–1710 (2021). https://doi.org/10.1007/s11269-021-02803-9

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  • DOI: https://doi.org/10.1007/s11269-021-02803-9

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