二次再热机组的定热量等效热降矩阵方程_郭仲德

40320135JournalofNorthChinaElectricPowerUniversityVol.40No.3May2013doi10.3969/j.ISSN.1007－2691.2013.03.15郭仲德1，张树芳2，董建聪3，李寒冰21．5106552．0710033．200240基于定热量等效热降理论，结合矩阵法，导出了二次再热机组的定热量等效热降矩阵方程，应用该方程无须另列吸热量方程和功率方程的情况下便能完成二次再热机组的热经济性分析，从而为此类机组热力系统的经济性定量分析提供了新方法，扩展了定热量等效热降理论的应用范围。通过实例计算验证了本文计算模型的可靠性，具有通用、精确和适于计算机计算的特点。二次再热机组;等效热降;热力系统;热经济性;矩阵法TK212A1007－2691201303－0080－06Constant-heatequivalententhalpydropmatrixequationforpowerunitwithdoublereheatGUOZhong-de1ZHANGShu-fang2DONGJian-cong3LIHan-bing21．BoilerInspectionDepartmentGuangdongInstituteofSpecialEquipmentInspectionandResearchGuangzhou510655China2．KeyLaboratoryofConditionMonitoringandControlforPowerPlantEquipmentofMinistryofEducationNorthChinaElectricPowerUniversityBaoding071003China3．SchoolofMechanicalEngineeringShanghaiJiaoTongUniversityShanghai200240ChinaAbstractBasedonconstant-heatequivalententhalpydropmethodandmatrixmethodconstant-heatequivalenten-thalpydropmatrixequationforpowerunitwithdoublereheatwasderivedfromstrictmathematicsdeductionanddemon-stration．Usingthismatrixwithoutpowerequationandheatabsorptionequationthethermaleconomicanalysisofdoub-lereheatunitcanbecompletedwell．Inthiswayanewmethodofthermaleconomicquantitativeanalysiswasprovid-edsothescopeofapplicationofconstant-heatequivalententhalpydropmethodwasextended．Throughsomecasecal-culationsthereliabilityofthemodelprovedthatitiscommonaccuracyandsuitableforcomputercalculation．Keywordspowerunitwithdoublereheatequivalententhalpydropmethodthermodynamicsystemthermalecono-mymatrixmethod2012－12－25．0。600℃/600℃、＞30MPa1。650～720℃、30MPa、IGCCPFBC。。20114。2012533120121642×100kW。。。2～4。5～6。。11。25Δτ2Δτ5。图1典型的二次再热机组热力系统图Fig.1Thermodynamicsystemoftypicalpowerunitwithdoublereheat。17Aα+Afαf+Aτατ+Δq=τ1A、AfAτAfαf、Aτατ、Δq。τ、γ、qτ'i=τi+Δτiγ'=γq'=q。α=A－1τ－Qfi2Qfi=Afαf+Aτατ+Δq322.1。1No．5335。τ'iτiΔτiτ'i=τi+Δτiqiqi=hi－hdihiihdii。qiγiτi。ττ'、γγ'qq'1ττ'、γγ'qq'ττ'、γγ'qq'。Hiηi182013Hi=hi－hc－∑zr=i+1ArqrHr+σ1+σ21－η0i=1Hi=hi－hc－∑zr=i+1ArqrHr+σ21－η0i=23Hi=hi－hc－∑zr=i+1ArqrHri=45678ηi=Hiqi4iτ'rτrAriiγrArτ'rτrArzhckJ/kgη0。σ1kJ/kgσ2kJ/kg。q1γ2q2γ3γ3q3τ4τ4τ4q4τ'5τ'5τ'5γ5q5τ6τ6τ6γ6γ6q6τ7τ7τ7γ7γ7γ7q7τ8τ8τ8γ8γ8γ8γ8q8Tη1η2η3η4η5η6η7η8=h1+σ1+σ2·1－η0－hch2+σ21－η0－hch3+σ21－η0－hch4－hch5－hch6－hch7－hch8－hcATηi=h～σηi55η089。2.28。η0=h0+σ1+σ2－hc－αTh～σi－αajTh～σajh0+σ1+σ2－hfw－αTσ－Γ－Δq06h0kJ/kghfwkJ/kgΔτ21Δτ2Δq0=Δτ2Δτ2=0σσ1+σ2σ20ΓkJ/kgΓ=∑αki·σ1+σ2+∑αmi·σ2∑αki∑αmi。h～σih～σi=hi+σ1+σ2－hci=1hi+σ2－hci=23hi－hci=4567{8αaj1。h～σajh～σaj=haj+σ1+σ2－hchaj+σ2－hchaj－hcτb6αTσ+ΓαTσ+Γη0η0=h0+σ1+σ2－hc－αTh～σηi－αajTh～σηajh0+σ1+σ2－hfw－Δq07h～σηajh～σηaj=haj+σ1+σ2·1－η0－hchaj+σ21－η0－hchaj－hcτb25η0=h0+σ1+σ2－hc－τTηi－ΣΠh0－hfw+σ1+σ2－Δq08283ΣΠ=αajTh～σηaj－QfiTηi9ΣΠkJ/kg。9ΣΠαajTh～σηajQfiTηi。ΣΠ。ΣΠ。8h0+σ1+σ2－hfw8。2.38σ1+σ2η0σ1+σ2η0=h0+σ1+σ2·1－η0－hc－τTηi－ΣΠh0－hfw－Δq01010h0－hfwq0=h0－hfw－Δq0。510q0τ1τ'2τ3τ4τ'5τ6τ7τ80AT0η0η1η2η3η4η5η6η7η8=h0+σ1+σ2·1－η0－hc－ΣΠh1+σ1+σ2·1－η0－hch2+σ21－η0－hch3+σ21－η0－hch4－hch5－hch6－hch7－hch8－hcBTη0i=h～ση0i1111ΣΠ9。599MATLABη0。2.41。η0iη0。2。116η0。3。σ2=0、σ1=0、σ2=0。Δτ2=0Δτ5=0。4。MATLAB382013。311、2。0η'0η0。1Tab．1Steam-waterparametersofmainsystemqi/kJ·kg－1τi/kJ·kg－1γi/kJ·kg－111878.4211.5－22028.3229.0191.732402.4214.0285.442676.9116.1－52365.8120.3111.962541.6118.1118.672505.3140.2140.582339.5103.150.2h0=3278.0kJ/kghc=2366.0kJ/kgσ1=430.6kJ/kgσ2=429.1kJ/kg。2Tab.2Auxiliarysteam-waterparameters/kJ·kg－1qfi/kJ·kg－110.002543058.22355.520.002333105.12886.830.001463080.22912.1τb=49.8kJ/kg。△τ2=25.76kJ/kg△τ5=11.57kJ/kgMATLAB9。3δη0δη0=η'0－η0/η'0。。。3Tab.3Calculationresults%49.3612549.36125δη010.037550.0375520.010000.0100030.061930.06193δη0△τ2－0.15731－0.15731△τ5－0.14545－0.14545、、。。4。。、、、、。1．J．20053471－6．2．J．2004241186－190．3．J．200337111137－1141．4．483J．2004194351－353362．5．J．199832568－71．6．J．201131142－4757．7．J．20022221733－1738．8．M．2008．9．MATLAB7.0M．2006．1985－檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮檮。(上接第68页)、。。8。1．J．2009244344－346．2．J．200727135－37．3．J．2005281046－47．4．J．2009166－68．5．M．2004．6．J．20124335－8．7．J．20031810325－26．8．600MWJ．200829258－60．1959－、。58