ANALYSIS OF LOOPED WATER DISTRIBUTION NETWORK

  • Ioan Sarbu (Professor dr. eng,, Department of Building Equipment, Politehnica University of Timisoara, Romania)
  • Published : 2001.07.01

Abstract

There are three methods for analyzing flow and pressure distribution in looped water distribution networks (the loop method, the node method, the element method) taking into consideration hydraulic parameters chosen as unknown. For all these methods the non-linear system of equations can be solved by iterative procedures. The paper presents a different approach to this problem by using the method of variational formulations for hydraulic analysis of water distribution networks. This method has the advantage that it uses a specialized optimization algorithm which minimizes directly an objective multivariable function without constraints, implemented in a computer program. The paper compares developed method to the classic Hardy-Cross method. This shows the good performance of the new method.

Keywords

References

  1. Abramov N. N., Rascet vodoprovodnii setei, Stroizdat, Moskva, 1976
  2. Chandrashekar M., amd Stewart K., Sparsity oriented analysis of large pipe networks, Journal of the Hydraulics Division, ASCE, nr. HY4, 1975
  3. Coolings M., and Cooper L., Solving the pipe network analysis problem using optimization techniques, Management Science, nr. 7, 1978
  4. Colins M. et al., Multiple operating points in complex pump network, Journal of the Hydraulics Division, ASCE, nr. HY3, 1979
  5. Divenot A., Une nouvelle methode de calcul des reseaux mailles, La Houille Blanche, nr.6, 1980
  6. Gofman E., and Rodeth M., Loop equation with unknown pipe characteristics, Journal of the Hydraulics Division, ASCE, nr. HY9, 1981
  7. Lekane T., Modele de calcul de l'ecoulement en regim permanent dans reseau d'eau mailles, Journal de Recherches Hydrauliques, nr.2, 1979
  8. Sarbu I., Model de calcul al regimului hidraulic in retele complexe de distributie a apei, Rev. Hidrotehnica, nr.8, 1987
  9. Sarbu I., Energetical Optimization of Water Distribution Systems, Ed. Academiei Romane, Bucuresti, 1997
  10. Sarbu I., Numerical and Optimizing Methods in Building Equipment Design, Ed. Tehnica, Bucuresti, 1994
  11. Sima V., and Varga A., Practica optimizarii asistata de calculor, Ed. Tehnica, Bucuresti, 1986
  12. Todini E., and Pilati S., A Gradient Method for the solution of looped Pipe Networks, Int. Conf. on Computer Applications in Water Supply and Distribution, V(1), 1987
  13. Wood D., and Rayes A., Reliability of algorithms for pipe network analyses, Journal of the Hydraulics Divsision, ASCE, nr. HY10, 1981