给水管网遗传优化设计中惩罚系数的确定

,,,(,450001):,,,,,,:;;;;:TU991:C:1000-4602(2008)06-0044-04DeterminationofPenaltyFactorinOptimalDesignofWaterPipeNetworkBasedonGeneticAlgorithmsZHOURong2min,LEIYan2feng,ZHOUFang,HAOLing2yun(CollegeofEnvironmentalandHydraulicEngineering,ZhengzhouUniversity,Zhengzhou450001,China)Abstract:Aimedattheproblemthatthepenaltyfactorisdifficulttobedeterminedintheoptimaldesignofwaterpipenetworkusinggeneticalgorithms,anewmethodforcalculatingthepenaltyfactorbythetechnologicalandeconomicparametersofthewaterpipenetworkwasputforward.Thenumericalsim2ulationresultsshowthatitisfeasibletoadoptthismethodtocalculatethepenaltyfactor.Theoptimalso2lutioncanbesearchedathigherprobability.Therandomnessandblindnessindeterminingthepenaltyfactorarereduced,andtheevolutionefficiencyandconvergenceofthegeneticalgorithmsareimproved.Themethodhasareferencevalueforengineeringoptimizationdesign.Keywords:waterpipenetwork;geneticalgorithms;optimaldesign;penaltyfunction;penaltyfactor:(50679075),,,[1],,,,4424620083CHINAWATER&WASTEWATERVol.24No.6Mar.2008©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,[2]:minZ(D)=NPi=1Ci(Di)Li(1)s.t.iI(j)qij+Qj=0(j=1,2,,ND)(2)hij=0(m=1,2,,NL)(3)HjHmin(j=1,2,,ND)(4)Z,Di,mCi,/mLi,mNPNDNLqij,,m3/sQj,m3/sI(j)jhijHj,mHmin,m,,,[(2)(3)],[(4)],[34]:minf(D)=NPi=1C(Di)Li+max{max[0,(Hmin-H)]}(5)f,HHminmax[0,(Hmin-H)]max{max[0,(Hmin-H)]},(5)[(4)],max{max[0,(Hmin-H)]},,(5)(1),[(4)],max{max[0,(Hmin-H)]},,,,2,,:,,,,,,,,,;,,,[5],,,:M=NET367.2QH(6)M,N,a54www.watergasheat.com,:246©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.,/(kWh)T,hQ,m3/hH(6),NETQ,MH(5)(6),,H,(5):=NET367.2Q(7)(7):N;TT=24365=8760h,;E;Q,,1,(7):=NET367.2Q(8),,(5):,,max{max[0,(Hmin-H)]},,,max{max[0,(Hmin-H)]}31[6],[4],(7)1,7780m,219.8L/s88.53m,31.12m,119.65m,240kPa11Fig.1Layoutofwatersupplynetwork1Tab.1Priceofpipe/m0.450.40.350.30.250.20.15/(m-1)150.81126.49104.2284.0666.1450.5637.50:T=24365=8760h;E=0.6/(kWh);=1;=1;Q=219.83.6=791.28m3/hN=20aN=10a,:N=20a,1=2.2652105;N=10a,2=1.1326105:40,1000,0.3:,,;,100,,1=2.26521052=1.132610510,2453487,[7](463874)2.24%,(507954)10.72%64246www.watergasheat.com©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=2.26521052=1.13261051300Y500Y2200N400Y3200Y300Y4200N300N5400Y200Y6200N300Y7200Y500Y8300N300Y9500Y200N10300Y400Y2,1=2.2652105,60%;2=1.1326105,80%1000,500,,(7),,,,110,2.265210610,30%;210,1.132610410,,,(7)(8),,,N,4,,,NQET,,,,,:[1],,,.[J].,2000,24(6):14-19.[2],.[M].:,2002.[3],DavisonMwale.[J].,2000,26(2):32-34.[4],.[J].,2001,20(3):49-52.[5],.[M].:,2003.[6],.(4)[M].:,1999.[7].-[J].,2005,36(3):378-382.:[phone]E-mail:[e-mail]:2007-09-2320082008322153222820,,()74www.watergasheat.com,:246©1994-2009ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.