Calculation of loop network reliability

Summary

The reliability of loop water distribution network operation has been its primary property. However, until now the regulatory documents for designing water distribution networks lack the reliability indices. There is no consensus among the experts related to these indices. Earlier proposed set of reliability indices of a loop water network is considered and one of the possible methods of their calculation is suggested. The data on the time of the water mains 325.78 km long operating in serviceable and unserviceable conditions is set by the example of the Samara municipal water network (the data for 2014). For the theoretical determination of the time of the water mains being in serviceable and unserviceable conditions Markovian model was used with discrete states and continuous time. To decrease the dimensionality of the current task all the states with equal number of isolated sections were curtailed into one state (subset). The feasibility of this solution was prompted by the practice of water network operation. The model verification by Pearson’s Chi-square criterion allows accepting the hypothesis of the theoretical results corresponding to the available experimental data.

Key words

hydraulic design , reliability indices , loop water distribution network , Chi-square (Pearson’s) , Markovian model with discrete states and continuous time