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OPTIMAL DESIGN FOR CAPACITY EXPANSION OF EXISTING WATER SUPPLY SYSTEM

Ahn, Tae-Jin   (Department of Civil Engineering and construction technology Research Center of HNU, Hankyong National UniversityUU0001369  ); Lyu, Heui-Jeong   (Department of Civil Engineering and construction technology Research Center of HNU, Hankyong National UniversityUU0001369  ); Park, Jun-Eung   (Department of Civil Engineering, Seoul National University of TechnologyCC0123236  ); Yoon, Yong-Nam   (Department of Civil and Environmental Engineering, Korea UniversityUU0000159  );
  • 초록

    This paper presents a two- phase search scheme for optimal pipe expansion of expansion of existing water distribution systems. In pipe network problems, link flows affect the total cost of the system because the link flows are not uniquely determined for various pipe diameters. The two-phase search scheme based on stochastic optimization scheme is suggested to determine the optimal link flows which make the optimal design of existing pipe network. A sample pipe network is employed to test the proposed method. Once the best tree network is obtained, the link flows are perturbed to find a near global optimum over the whole feasible region. It should be noted that in the perturbation stage the loop flows obtained form the sample existing network are employed as the initial loop flows of the proposed method. It has been also found that the relationship of cost-hydraulic gradient for pipe expansion of existing network affects the total cost of the sample network. The results show that the proposed method can yield a lower cost design than the conventional design method and that the proposed method can be efficiently used to design the pipe expansion of existing water distribution systems.


  • 주제어

    tow-phase search scheme .   cost-hydraulic gradient curve .   convex and nonconvex function .   pipe network optimization .   adjacent property.  

  • 참고문헌 (11)

    1. Quindry, G.E., Brill, E.D., and Liebman, J.C. (1981). 'Optimization of looped water distribution systems.' J. of Environmental Engineering Division, ASCE, Vol. 107, No. 4: pp. 665-679 
    2. Pyongtack city of Korea (1999). Feasibility studies on the Songtan water distribution system, The city Government of Pyongtack, Kyonggi, Korea 
    3. Loganathan, G.V., Sherali, H.D., and M.P. Shah, M.P. (1990). 'A two-phase network design heuristic for the minimum cost water distribution systems under a reliability constraints.' Engineering Optimization, Vol. 15, pp. 311-336 
    4. Loganathan, G.V., Greene, J.J., Ahn, T.J. (1995). 'Design heuristic for globally minimum cost water distribution systems.' J. of Water Resources Planning and Management, ASCE, Vol. 121, No. 2, pp. 182-192 
    5. Fujiwara, O. and Kahng, D.B. (1980). 'A two-phase decomposition method for optimal design of looped water distribution networks' Water Resources Research, Vol. 26, No. 4, pp. 539-549 
    6. Kessler, A. and Sahmir, U. (1989). 'Analysis of the linear programming gradient method for ooptimal design of water supply networks.' Water Resources Research, Vol. 25, No. 7, pp. 1-19 
    7. Kessler, A. and Shamir, U. (1991). 'Decomposition technique for optimal design of water supply network.' Engineering Optimization, Vol. 17, pp. 1-19 
    8. Fujiwara. O. and Dey. D. (1987). 'Two adjacent pipe diameters at the optimal solution in the water distribution network models.' Water Resources Research, Vol. 23, No. 8, pp. 1457-1460 
    9. Alperovits, E. and Shamir, U. (1977). 'Design of optimal water distribution system.' Water Resources Research, Vol. 13, No. 6, pp. 885-900 
    10. Ahn, T.J., Loganathan, G.V. (1998). 'Pipe network optimization', Proceedings 25th Conferecne on Water Resources Planning and Management of ASCE, ASCE, Chicago, Illinois, pp. 431-436 
    11. Ahn, T.J., Choi, G.W., and Park, J.E. (1995). 'Stochastic optimization approach for parallel expansion of the existing water distribution system.' J. of Korea Water Resources Association. KWRA, Vol. 28, No. 2, pp. 169-180 

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