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Dynamical stability of water distribution networks
1Department of Engineering Mathematics, University of Bristol, Bristol BS8 1UB, UK.
Proceedings. Mathematical, Physical, and Engineering Sciences
|November 19, 2019
Summary
This study introduces a new resilience index for water distribution networks. The index, based on linear stability analysis, predicts how quickly pipe networks recover from disturbances, enhancing system design and management.
Area of Science:
- Hydraulic engineering
- Nonlinear dynamics
- Network analysis
Background:
- Water distribution networks are critical hydraulic infrastructures facing nonlinear dynamics due to water flow.
- System resilience against failures is crucial for maintaining functionality.
- Understanding network response to shocks is essential for reliable water supply.
Purpose of the Study:
- To develop an analytical framework for assessing the resilience of water distribution networks.
- To introduce a novel index for quantifying network recovery rates.
- To apply nonlinear dynamics and network analysis to improve network design and management.
Main Methods:
- Linear stability analysis of a nonlinear dynamical system representing pipe flow.
- Calculation of the slowest decaying eigenvalue as a resilience index.
- Correlation analysis with recovery rates from a hydraulic simulator.
Main Results:
- The steady state of water distribution networks is always locally stable.
- A novel eigenvalue-based index for system resilience was developed.
- The proposed resilience index shows positive correlation with network recovery rates.
Conclusions:
- The analytical framework provides a robust method for evaluating water distribution network resilience.
- The developed resilience index aids in designing and managing networks for improved stability and faster recovery.
- This approach is valuable for scenario testing and optimizing water infrastructure.
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