bbk 000000

UDC 628.152

GALPERIN E. M., Bukhman N. S.

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

The further text is accessible on a paid subscription.
For authorisation enter the login/password.
Or subscribe

REFERENCES

1. Primin O. G., Bortkevich V. S., Mirkis V. S., Kantor L. I., Vinarskii S. L. [On designing water supply schemes of the Russian cities]. Vodosnabzhenie i Sanitarnaia Tekhnika, 2014, no. 7, p. 24–33. (In Russian).
2. Gal’perin E. M. [On hydraulic calculation of a loop water distribution network]. Vodosnabzhenie i Sanitarnaia Tekhnika, 2015, no. 12, pp. 48–54. (In Russian).
3. Gal’perin E. M. [Determination of operation reliability of a loop water distribution network]. Vodosnabzhenie i Sanitarnaia Tekhnika, 1989, no. 6, pp. 11–13. (In Russian).
4. Gal’perin E. M., Shapkin N. V. [Methods of improving the reliability of water distribution network operation]. Vodosnabzhenie i Sanitarnaia Tekhnika, 2013, no. 8, pp. 28–33. (In Russian).
5. Alekseev M. I., Ermolin Iu. A. [On some trends in the publications on the integrity of water and wastewater facilities]. Vodosnabzhenie i Sanitarnaia Tekhnika, 2016, no. 3, pp. 70–71. (In Russian).
6. Gnedenko B. V., Kovalenko I. N. Vvedenie v teoriiu massovogo obsluzhivaniia [Introduction to the waiting theory. Moscow, Nauka Publ., 1987, 336 p.].
7. Gal’perin E. M. [Calculations of the loop water distribution network reliability]. Vodosnabzhenie i Sanitarnaia Tekhnika, 2003, no. 8, pp. 26–29. (In Russian).
8. Hajebi S., Temate S., Barrett S., Clarke A., Clarke S. Water distribution network sectorisation using structural graph partitioning and multi objective optimization: 16th Conference on Water Distribution System Analysis. WDSA, 2014.
9. Herrera Fernandez A. M. Improving water network management by efficient division into supply clusters: A thesis submitted for the degree of Ph. D. in Hydraulic Engineering and Environmental Studies. Valencie Spare, July 2011.
10. Gal’perin E. M. [The method of calculating loop water supply and distribution systems and relative sections of SNiP 2.04.02-84 do not reflect the reality and actual demands]. Vodosnabzhenie i Sanitarnaia Tekhnika, 1996, no. 8, pp. 6–7. (In Russian).
11. Gal’perin E. M. [Improvement of a design model of operation of a ring water supply network]. Vodosnabzhenie i Sanitarnaia Tekhnika, 2010, no. 2, pp. 51–57. (In Russian).