Nonlinear Dynamics

, Volume 93, Issue 4, pp 2517–2531 | Cite as

Operation conditions monitoring of flood discharge structure based on variance dedication rate and permutation entropy

  • Jianwei ZhangEmail author
  • Ge Hou
  • Kelei Cao
  • Bin Ma
Original Paper


There has been a growing concern on how to monitor the operation conditions of flood discharge structure in recent decades. However, the online monitoring process is always interfered by ambient excitation which leads to inaccurate and uncertain structural characteristic evaluation. To mitigate the interference, a valid operation conditions monitoring method based on variance dedication rate (VDR) and permutation entropy (VDR-PE) is proposed. Firstly, a de-noising method combining wavelet threshold and empirical mode decomposition is used to remove heavy background noises, reducing the interference of ambient excitation to structural characteristic information. Then VDR method is used to realize the dynamic fusion of multi-channel vibration signals, extracting the vibration characteristic of the overall structure in an accurate and comprehensive way. Finally, permutation entropy is used to extract the entropy value of the fused signal. Through evaluating the operation conditions with coefficient of variation, the online monitoring of flood discharge structure can be realized. The effectiveness of permutation entropy algorithm on signal dynamic monitoring is validated by a simulation experiment. Furthermore, VDR-PE method is applied to Three Gorges dam to compare differences between analytical simulation and finite element simulation. The comparison results show that VDR-PE method can be applied to detect the dynamic changes and reveal the vibration characteristic of the overall structure accurately, which provides a new direction for the online monitoring of flood discharge structure.


Flood discharge structure Variance dedication rate Permutation entropy Online monitoring Data fusion 



This work was supported by the National Natural Science Foundation of China (Grant No. 51679091), the State Key Laboratory of Hydraulic Engineering Simulation and Safety of Tianjin University (Grant No. HESS-1312) and the Program for Science & Technology Innovation Talents in Universities of Henan Province (Grant No.18HASTIT012).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest in preparing this article.


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Water ResourcesNorth China University of Water Resources and Electric PowerZhengzhouChina
  2. 2.State Key Laboratory of Hydraulic Engineering Simulation and SafetyTianjin UniversityTianjinChina

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