Optimization of the Open Degree of Key Valves Based on Relative Entropy and Pipeline Leakage

Feiyu Li , Zhenfeng Shi , Chenguang Wu , Yixing Yuan , Yan Zhu

Transactions of Tianjin University ›› 2017, Vol. 23 ›› Issue (5) : 471 -478.

PDF
Transactions of Tianjin University ›› 2017, Vol. 23 ›› Issue (5) : 471 -478. DOI: 10.1007/s12209-017-0070-1
Research Article

Optimization of the Open Degree of Key Valves Based on Relative Entropy and Pipeline Leakage

Author information +
History +
PDF

Abstract

Based on information entropy theory, the definition of relative entropy, and the relative entropy minimum principle, this study establishes a multi-objective optimization model for a key valve opening of an urban water distribution network (WDN). Each node pressure is taken as the main research object to reduce pipeline leakage. Moreover, genetic algorithm is applied in the proposed model to solve the key valve opening of the actual WDN in a city in southern China. Using the proposed model, the relevant decision variables of a WDN can be optimized to provide a new manner of network dispatching.

Keywords

Relative entropy / Pipeline leakage / Open degree of key valves / Multi-objective optimization / Genetic algorithm

Cite this article

Download citation ▾
Feiyu Li, Zhenfeng Shi, Chenguang Wu, Yixing Yuan, Yan Zhu. Optimization of the Open Degree of Key Valves Based on Relative Entropy and Pipeline Leakage. Transactions of Tianjin University, 2017, 23(5): 471-478 DOI:10.1007/s12209-017-0070-1

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Awumah K, Goulter I, Bhatt SK. Assessment of reliability in water distribution networks using entropy based measures. Stoch Hydrol Hydraul, 1990, 4(4): 309-320.

[2]

Awumah K, Goulter I. Maximizing entropy defined reliability of water distribution networks. Eng Optim, 1992, 20(1): 57-80.

[3]

Martínez JB. Discussion of “optimization of water distribution networks using integer linear programming” by Hossein M. V. Samani and Alireza Mottaghi. J Hydroinf, 2008, 134(7): 1023-1024.

[4]

Tanyimboh TT, Templeman AB. Calculating maximum entropy flows in networks. J Oper Res Soc, 1993, 44(4): 383-396.

[5]

Tanyimboh TT, Templeman AB. Maximum entropy flows for single-source networks. Eng Optim, 1993, 22(1): 49-63.

[6]

Yassin-Kassab A, Templeman AB, Tanyimboh TT. Calculating maximum entropy flows in multi-source, multi-demand networks. Eng Optim, 1999, 31(6): 695-729.

[7]

Di Nardo A, Di Natale M (2010) A design support methodology for district metering of water supply networks. In: Water Distribution Systems Analysis 2010. Proceedings of the 12th International Conference. Tucson, AZ, USA, 870–887

[8]

Martínez JB. Cost and reliability comparison between branched and looped water supply networks. J Hydroinf, 2010, 12(2): 150-160.

[9]

Setiadi Y, Tanyimboh TT, Templeman AB. Modelling errors, entropy and the hydraulic reliability of water distribution systems. Adv Eng Softw, 2005, 36(11): 780-788.

[10]

Martínez JB. Quantifying the economy of flow distribution in water supply looped networks. J Hydroinf, 2011, 13(4): 687-698.

[11]

Babayan A, Kapelan Z, Savic D, et al. Least-cost design of water distribution networks under demand uncertainty. J Water Resour Plan Manag, 2005, 131(5): 375-382.

[12]

Saldarriaga JG, Ochoa S, Moreno ME, et al. Prioritised rehabilitation of water distribution networks using dissipated power concept to reduce non-revenue water. Urban Water J, 2010, 7(2): 121-140.

[13]

Martínez JB. Quantifying the economy of flow distribution in water supply looped networks. J Hydroinf, 2011, 13(4): 687-698.

[14]

Sousa JJO, Cunha MC, Marques JAS (2007) Entropy-based reliable design of water distribution networks. Water Resources Management IV 615

[15]

Greco R, Di Nardo A, Santonastaso G. Resilience and entropy as indices of robustness of water distribution networks. J Hydroinf, 2012, 14(3): 761-771.

[16]

Tanyimboh TT, Kalungi P. Multicriteria assessment of optimal design, rehabilitation and upgrading schemes for water distribution networks. Civil Eng Environ Syst, 2009, 26(2): 117-140.

[17]

Vasan A, Simonovic SP. Optimization of water distribution network design using differential evolution. J Water Resour Plan Manag, 2010, 136(2): 279-287.

[18]

Ang WK, Jowitt P. Some observations on energy loss and network entropy in water distribution networks. Eng Optim, 2003, 35(4): 375-389.

[19]

Bernstein MD, Friend RG. ASME code safety valve rules—a review and discussion. J Press Vessel Technol Trans ASME, 1995, 117(2): 104-114.

[20]

Germanopoulos G (1995) Improving efficiency and reliability in water distribution systems. In: Valve control regulation for reducing leakage. Springer Netherlands, pp 165–188

[21]

Jowitt PW, Xu C. Optimal valve control in water-distribution networks. J Water Resour Plan Manag, 1990, 116(4): 455-472.

[22]

Alhimiary HAA, Alsuhaily RHS (2007) Minimizing leakage rates in water distribution networks through optimal valves settings. In: World Environmental and Water Resources Congress 2007: Restoring Our Natural Habitat. Tampa, FL, USA, pp 1–13

AI Summary AI Mindmap
PDF

104

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/