Capacity reliability of water distribution systems

Vaabel, J.; Koppel, Tarmo; Ainola, Leo; Sarv, L.

doi:10.2166/hydro.2013.040

Cited by 5 publications

(4 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…He [21] proposed a new index, "surplus power entropy", by combining the concept of "flow entropy", proposed by Awumah et al [19], and the index of "surplus power factor" proposed by Vaable [22]. The surplus power entropy is defined as follows:…”

Section: The Basic Theory Of Surplus Power Entropymentioning

confidence: 99%

Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model

et al. 2020

View full text Add to dashboard Cite

It is necessary to evaluate the reliability of the water supply network, when the water supply network is damaged by an earthquake. Therefore, this paper researched the feasibility and characteristics of the surplus power entropy as the reliability index of the water supply network, and established a scheme framework for optimizing and improving the reliability of the water supply network. This paper developed a reliability evaluation model for the water supply network after an earthquake. Combined with the Monte Carlo stochastic simulation hydraulic analysis, this model is also based on the pressure-driven nodes water demand model. In the case study, the surplus power entropy method was applied to test the reliability of the model. The statistical curves of the surplus power entropy of nodes and pipe networks, the distribution of the surplus power entropy with different intensities in pipe networks, and the comparison results of three reliability improvement schemes, before and after, were obtained. The influence factors of the surplus power entropy were obtained from the data analysis. The high consistency between the surplus power entropy and flow entropy verifies the feasibility of the surplus power entropy as a reliability index. The three schemes show that the surplus power entropy index can be used as a beneficial supplement to the reliability evaluation index of the pipe network.Sustainability 2020, 12, 1591 2 of 17 variety of specified working conditions, investigate the pipe network's ability to meet the demand, and test the reliability of the water supply network. The commonly used simulation methods include the Monte Carlo method [10], the quasi-Monte Carlo method [11], and so on. The agency methods do not directly test the reliability of the pipe network, but use the appropriate agency model to test the reliability [12]. The agency methods include information entropy [13,14], flow entropy [15], the path entropy method [16], and the recoverable index method [17]. Many academics and researchers used a combination of reliability methods in their studies. For example, Deng et al.[18] proposed a system reliability solution method for a water supply pipe network by combining analytics methods and simulation methods, while calculating path importance and connectivity ratio. The simulation methods can simulate and perform hydraulic analysis under various working conditions. However, this method requires many rounds of hydraulic calculation to reach the results. In addition, the agency method models are simple and easy to program and calculate, but they lack the source of certainty.This study combined the advantages of simulation methods and agency methods, and used Monte Carlo stochastic simulation to obtain the hydraulic analysis of the water supply network after earthquakes, based on the pressure drive node water demand model. Surplus power entropy was taken as the reliability evaluation index of the water supply network. On the basis of solving the entropy value, the paper developed the structural optimiz...

show abstract

Section: The Basic Theory Of Surplus Power Entropymentioning

confidence: 99%

Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model

et al. 2020

View full text Add to dashboard Cite

show abstract

“…The analysis of the surplus power factor revealed that an accurate s value depends on the WDN resistance coefficient C. Therefore, it was crucial to find an approach for determining the C value that will characterize the whole WDN, not just the resistance of individual pipes or the resistance between certain nodes (i.e., the source and the target nodes). The resistance coefficient C is determined in Vaabel et al [4] and for an ordinary city WDN it can be expressed as…”

Section: Development Of Surplus Power Factor Analysismentioning

confidence: 99%

“…The basis for the surplus power factor calculation is the correct determination of the WDN resistance coefficient C. A method for the determination of the C value in WDNs is presented in [4]. This paper describes different approaches applicable to the determination of the surplus power factor and the network resistance coefficient C values.…”

Section: Introductionmentioning

confidence: 99%

Determination of Water Distribution Network Resistance Coefficient and Hydraulic Capacity

Vaabel

Koppel

Sarv

et al. 2014

Procedia Engineering

Self Cite

View full text Add to dashboard Cite

This paper describes the development of the surplus power factor s that characterizes the reliability of the hydraulic system and the values of which vary between 0 to 1. In order to calculate the s factor for water distribution networks (WDNs), a network resistance coefficient C has to be determined. This paper compares different approaches in order to calculate the coefficient C and determine the s factor for WDNs.

show abstract

“…Vaabel et al. (2008, 2014) and Di Nardo et al. (2017) have developed novel methods to evaluate the availability, robustness, and resilience of WDNs in dynamic scenarios.…”

Section: Introductionmentioning

confidence: 99%

Reduction of Multi‐Port Water Distribution Networks Using the Generalized Thevenin Theorem

Balireddy

Chakravorty

Bhallamudi

et al. 2023

Water Resources Research

View full text Add to dashboard Cite

Expansion and reorganization of water distribution networks by connecting sub‐networks via single or multiple pipes are common practices in developing cities to serve newly developed areas. In that context, the existing large network is often replaced with its equivalent simplified network for the optimal design of the upcoming sub‐networks to avoid the computational burden. The reservoir‐pump model is frequently used by practicing hydraulic engineers to replace an existing one; however, such a model should be applied only when the networks are connected through a single pipe. In this study, a new network reduction methodology is developed for multi‐port connections utilizing the analogy between electrical circuits and hydraulic networks. The equivalent simple network is obtained by suitably applying the generalized Thevenin theorem for electrical circuits. The number of network elements in the equivalent network is significantly reduced compared to the ones obtained by the existing water distribution network (WDN) reduction methods. Therefore, it is possible to reorganize and expand a large existing network system from a prior knowledge of its most sensitive parts. The accuracy and robustness of the proposed methodology are investigated on realistic WDNs by comparing the results with EPANET, for both Demand Driven Analysis and Pressure Driven Analysis. However, as of now, an electrical simulator is required to implement the proposed methodology due to the absence of current dependent voltage source model in hydraulic simulators. The proposed network reduction method can be of enormous utility for hydraulic engineers and opens up an opportunity to implement new elements in hydraulic simulators.

show abstract

Capacity reliability of water distribution systems

Cited by 5 publications

References 10 publications

Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model

Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model

Determination of Water Distribution Network Resistance Coefficient and Hydraulic Capacity

Reduction of Multi‐Port Water Distribution Networks Using the Generalized Thevenin Theorem

Contact Info

Product

Resources

About