Automatic detection of burst in water distribution systems by Lipschitz exponent and Wavelet correlation criterion

• Published in: Measurement : journal of the International Measurement Confederation 2020-02, Vol.151, p.107195, Article 107195
• Main Authors: Trutié-Carrero, Eduardo, Cabrera-Hernández, Yosniel, Hernández-González, Arturo, Ramírez-Beltrán, Jorge
• Format: Article
• Language: English
• Subjects: Algorithms; Burst detection; Bursts; Correlation analysis; Criteria; Decision theory; High density polyethylenes; Lipschitz exponent; Water distribution; Water engineering; Water supply; Wavelet analysis; Wavelet correlation criterion; Wavelet transform; Wavelet transforms
• ISSN: 0263-2241; 1873-412X
• DOI: 10.1016/j.measurement.2019.107195

•New equation to estimate the Lipschitz exponent in burst detection is proposed.•Wavelet correlation criterion and Lipschitz exponent are used in a new algorithm.•Burst detection resolution is improved.•By means of decision theory the probability of false positives is reduced. Bursts on water distribution systems are a major problem, since they cause great loss of water, interrupt the supply and damage the streets and buildings. It is a challenge for water distribution systems to detect bursts as soon as they happen, reducing the probability of false positives and the size of the burst that can be detected. This paper solves this problem presenting a new equation that uses the Wavelet correlation criterion to estimate Lipschitz exponent and the theory of decisions to calculate the threshold used for burst detection. The algorithm was validated experimentally using 120 signals acquired from a high-density polyethylene pipeline. This paper shows that the algorithm and proposed equation obtain better results in burst detection than those reported by the scientific community.