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Optimizing Joint Flood Control Operating Charts for Multi–reservoir System Based on Multi–group Piecewise Linear Function

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Abstract

Compared to conventional operating rules (CORs) for multiple reservoirs in a basin, joint flood control operation can reduce flood loss in downstream cities. The CORs adopted for most reservoirs ignore among–basin coordination, leading to incomplete consideration of the problem of the compensation effect between the reservoir flood control storage capacity (FCSC) and uneven flood composition distribution. A parameterization–simulation–optimization framework was applied in this study to design reservoir joint optimized flood control operating charts (OFCOCs) and analyse the compensation effect between reservoirs. The non–fixed FCSC nodes method and guaranteed output were respectively adopted to bound the end water levels in reservoirs with low inflow but high FCSC values or those adopting dynamic flood limited water level (DFLWL) return to the flood limited water level (FLWL). Choosing the Xijiang River basin (XRB) as an example, the optimized OFCOC designed in this study achieved a better peak–cutting effect than that of the CORs. The peak–cutting rate of the OFCOC was 5.77%, while that of the CORs was 3.41%. Adoption of the non–fixed FCSC nodes method and guaranteed output could meet the constraint of water level return to the FLWL. Reasonable operating chart design could provide a guideline for scientific flood control.

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Availability of Data and Materials

The observed data used in this study are not publicly accessible. These data have been collected and supported by the Hydrological Center of Guangxi Zhuang Autonomous Region. Anyone who wish to use these data should contact Lihua Chen and Hang Chen to obtain permission.

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Acknowledgements

We appreciate the contributions of the editor and anonymous reviewers whose comments and suggestions significantly improved this article.

Funding

This research was financially supported by the National Natural Science Foundation of China (grant numbers 52069002 and 51669003) and Nanning Communications Asset Management CO., LTD (Grant number NNJZ-NWDC–(2021) –12).

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Conceptualization: LH C and X T; Data curation: LH C and J Y; Methodology: J T and X T; Software: J T; Writing–original draft: LH C, J Y and H C; Writing–review & editing: LH C, H C and XF L.

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Correspondence to Hang Chen.

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Appendix

Appendix

Fig. 7
figure 7

Flood control operating chart optimization

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figure 8

Iterative evolution chart

Table 2 Muskingum parameters for each section of the XRB
Table 3 Basic parameters of the flood control reservoirs in the XRB
Table 4 Conventional operating rules for the Luojiu Reservoir
Table 5 Detailed information on the 10 actual floods
Table 6 Comparison of the end water levels in the four reservoirs of the Guijiang River derived from the two FCSC allocation methods

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Chen, L., Yu, J., Teng, J. et al. Optimizing Joint Flood Control Operating Charts for Multi–reservoir System Based on Multi–group Piecewise Linear Function. Water Resour Manage 36, 3305–3325 (2022). https://doi.org/10.1007/s11269-022-03202-4

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  • DOI: https://doi.org/10.1007/s11269-022-03202-4

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