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127/220kV1×1000mm2,,,,,,,,,

電纜載流量計(jì)算書(shū),,,,,,,,,

1.基本條件,,,,,,,,,

1.1電纜結(jié)構(gòu),,,,,,,,,

,標(biāo)稱(chēng)截面,,,,Sc=,1000,mm2,,

,導(dǎo)體直徑,,,,dc=,39,mm,,

,導(dǎo)體屏蔽厚度,,,,t內(nèi)屏蔽=,2.0,mm,,

,導(dǎo)體屏蔽直徑,,,,D內(nèi)屏蔽=,43,mm,,

,絕緣厚度,,,,t絕緣=,24,mm,,

,絕緣直徑,,,,D絕緣=,91,mm,,

,絕緣屏蔽厚度,,,,t外屏蔽=,1.0,mm,,

,絕緣屏蔽直徑,,,,D外屏蔽=,93,mm,,

,緩沖層厚度,,,,t緩沖層=,2.0,mm,,

,緩沖層直徑,,,,D緩沖層=,97,mm,,

,鋁套厚度,,,,t鋁護(hù)套=,2.6,mm,,

,鋁護(hù)套平均直徑,,,,Ds=,115,mm,,

,鋁套直徑,,,,D鋁護(hù)套=,118,mm,,

,防蝕層外徑,,,,D防蝕層=,118.4,mm,,

,PE外護(hù)套厚度,,,,t外護(hù)套=,5.0,mm,,

,PE外護(hù)套直徑,,,,D外護(hù)套=,128.4,mm,,

1.2電纜敷設(shè)方式、環(huán)境條件和運(yùn)行狀況,,,,,,,,,

,運(yùn)行系統(tǒng):三相交流系統(tǒng),,,,,,,,

,敷設(shè)條件:空氣中,平行敷設(shè),,,,,,,,

,導(dǎo)體運(yùn)行最高工作溫度,,,,θc=,90,℃,,

,環(huán)境溫度:空氣中,,,,θh=,40,℃,,

,標(biāo)準(zhǔn)環(huán)境溫度,,,,θ0=,20,℃,,

1.3計(jì)算依據(jù),,,,,,,,,

電纜額定載流量計(jì)算,即IEC-287,,,,,,,,,

2導(dǎo)體交流電阻,,,,,,,,,

電纜單位長(zhǎng)度導(dǎo)體工作溫度下的交流電阻與導(dǎo)體直流電阻和集,,,,,,,,,

膚效應(yīng)及鄰近效應(yīng)有關(guān),各參數(shù)計(jì)算如下。,,,,,,,,,

2.1最高工作溫度下導(dǎo)體直流電阻,,,,,,,,,

已知:,20℃導(dǎo)體直流電阻,,,,R0=,0.0000176,Ω/m,,

,導(dǎo)體溫度系數(shù),,,,α=,0.00393,,,

,電纜允許最高工作溫度,,,,θc=,90,℃,,

最高工作溫度下導(dǎo)體直流電阻由下式給出:,,,,,,,,,

,R'=R0[1+α(θc-θ0)],,,,,,,,

各參數(shù)值代入,計(jì)算得:,,,,,R'=,2.244E-05,Ω/m,,

2.2集膚效應(yīng)因數(shù),,,,,,,,,

,電源系統(tǒng)頻率,,,,f=,50,Hz,,

,,,,,Ks=,0.435,Ω/m·Hz,,

,,,,,Xs2=,8·π·f·10-7·Ks/R',,,

,,,,,Xs2=,2.4358,Ω/m,,

集膚效應(yīng)因數(shù)Ys由下式給出:,,,,,,,,,

,Ys=Xs2/(192+0.8·Xs4),,,,,,,,

各參數(shù)值代入,計(jì)算得:,,,,,Ys=,0.0302,,,

2.3鄰近效應(yīng)因數(shù),,,,,,,,,

,,,,,Kp=,0.37,,,

,,,,,電纜間距S=,250,mm,,

,,,,,Xs2=,8·π·f·10-7·Kp/R',,,

,,,,,Xp2=,2.072,Ω/m,,

鄰近效應(yīng)因數(shù)Yp由下式給出:,,,,,,,,,

,對(duì)于三根單芯電纜:,,,,,,,,

,,,,,,,,,,

Yp=,,,,,,,,,

,,,,,,,,,,

,,,,,Yp=,0.0022,,,

2.4交流電阻,,,,,,,,,

導(dǎo)體工作溫度下交流電阻R為:,,,,,,,,,

,,,,,R=,R'(1+Ys+Yp),,,

,,,,,R=,2.32E-05,Ω/m,,

3.介質(zhì)損耗,,,,,,,,,

,電源周期,,,,ω=,2·π·f,,,

,對(duì)地電壓(相電壓)V,,,,U0=,127,kV,,

,絕緣材料介電常數(shù),,,,ε=,2.3,,,

,絕緣材料介質(zhì)損耗角正切,,,,tgδ=,0.0008,,,

,電纜每相單位長(zhǎng)度電容,,,,,,,,

,,,,,C=,1.70E-10,F/m,,

,電纜每相單位長(zhǎng)度介質(zhì)損耗,,,,,,,,

,,,,,Wd=,ω·C·U02·tgδ,,,

,,,,,Wd=,0.6909,W/m,,

4.金屬鋁護(hù)套的損耗,,,,,,,,,

護(hù)套中的損耗因數(shù)由金屬護(hù)套(屏蔽)功率損耗(λ1)和鎧裝層損耗(λ2),,,,,,,,,

λ1是由環(huán)流(λ1')和渦流(λ1'')所引起的損耗,故總功率損耗因數(shù)為:,,,,,,,,,

,,,,λ1=,λ1'+λ1'',,,,

由于電纜結(jié)構(gòu)中沒(méi)有鎧裝層,則λ2=0,,,,,,,,,

4.1金屬鋁護(hù)套電阻的計(jì)算,,,,,,,,,

,20℃時(shí)鋁護(hù)套電阻率,,,,ρs=,2.8264E-08,Ω·m,,

,電阻溫度系數(shù),,,,αs=,0.00403,,,

,護(hù)套工作溫度,,,,θs=,50,℃,,

,護(hù)套平均直徑,,,,Ds=,115.0,mm,,

,護(hù)套截面積,,,AS=,π×Ds×t,,m2,,

,金屬護(hù)套厚度,,,,t=,2.6,mm,,

,,,,,AS=,9.393E-04,m2,,

,工作溫度下鋁護(hù)套的電阻Rs:,,,,,,,,

,,,,Rs=,ρs/As[1+αs(θs-θ0)],,,,

,各參數(shù)代入式得:,,,,Rs=,3.37E-05,Ω/m,,

4.2金屬鋁護(hù)套的功率損耗λ1,,,,,,,,,

,電纜導(dǎo)體軸間距離,,,,S=,0.25,m,,

,皺紋鋁護(hù)套平均直徑,,,,Ds=,0.115,m,,

,金屬套厚度,,,,t=,0.0026,m,,

,角頻率,,,,ω=,2·π·f,,,

,電纜直徑,,,,De=,0.1284,m,,

,,,,,β1=,[(4·π·ω)/(ρs×107)]1/2,,,

,,,,,β1=,118.185,,,

,,,,,gs=,1+(t/Ds)1.74·(β1Ds×10-3-1.6),,,

,,,,,gs=,1.0164,,,

,,,,,m=,ω/Rs×10-7,,,

,,,,,m=,0.9315,,,

,三根單芯電纜水平形排列,,,,,,,,

,,,,,λ0=,6[m2/(1+m2)](Ds/2S)2,,,

,,,,,λ0=,0.1475,,,

,,,,,△1=,0.86m3.08(Ds/2S)(1.4m+0.7),,,

,,,,,△1=,0.0335,,,

,,,,,△2=,0,,,

,渦流損耗由下式給出:,,,,,,,,

,,"λ1""=",Rs/R·[gs·λ0(1+△1+△2)+(β1·til)4/(12×1012)],,,,,,

,各參數(shù)代入上述公式得:,,,,,,,,

,,,,,"λ1""=",0.2266,,,

,護(hù)套單點(diǎn)接地或交叉互聯(lián)環(huán)流損耗等于零即:,,,,,,,,

,,,,,λ1'=,0,,,

,金屬鋁護(hù)套的損耗,,,,,,,,

,,,,,λ1=,"λ1'+λ1""",,,

,,,,,λ1=,0.227,,,

,,,,,λ2=,0.000,,,

,三根單芯電纜品子形排列,,,,,,,,

,,,,,λ0=,3[m2/(1+m2)](Ds/2S)2,,,

,,,,,λ0=,0.0737,,,

,,,,,△1=,(1.14m2.45+0.33)(Ds/2S)(0.92m+1.66),,,

,,,,,△1=,3.19E-02,,,

,,,,,△2=,0,,,

,渦流損耗由下式給出:,,,,,,,,

,,"λ1""=",Rs/R·[gs·λ0(1+△1+△2)+(β1·til)4/(12×1012)],,,,,,

,各參數(shù)代入上述公式得:,,,,,,,,

,,,,,"λ1""=",0.1136536,,,

,,,,,λ1'=,0,,,

,金屬鋁護(hù)套的損耗,,,,,,,,

,,,,,λ1=,"λ1'+λ1""",,,

,,,,,λ1=,0.114,,,

,,,,,λ2=,0.000,,,

5.絕緣熱阻T11的計(jì)算(單根導(dǎo)體和金屬套之間熱阻為T(mén)1=T11+T12),,,,,,,,,

已知:,交聯(lián)聚乙烯熱阻系數(shù),,,,ρT=,3.5,,,

,導(dǎo)體直徑,,,,dc=,39,mm,,

,絕緣厚度,,,,ti=,24,mm,,

絕緣熱阻T11由下式給出:,,,,,,,,,

,,,T11=,(ρT/2π)·ln(1+2ti/dc),,,,,

,各參數(shù)代入上述公式得:,,,,,,,,

,,,,,T11=,0.4841,K.m/W,,

6.阻水帶熱阻T12的計(jì)算,,,,,,,,,

阻水帶熱阻系數(shù)ρT=,,,,,,4.8000,,,

,,,,,T12=,0.0322,K.m/W,,

7.外護(hù)層熱阻T3的計(jì)算,,,,,,,,,

已知:,PE/瀝青熱阻系數(shù),,,,ρT=,3.5,,,

,鋁套外徑,,,,Dl=,118,mm,,

,外護(hù)層厚度,,,,te=,5.0,mm,,

,鋁套厚度,,,,til=,2.6,mm,,

內(nèi)襯層熱阻T3由下式給出:,,,,,,,,,

,,,T3=,(ρT/2π)·ln[(Dl+2te)/(Dl/2+Dit/2+til)],,,,,

,各參數(shù)代入上述公式得:,,,,,,,,

,,,,,T3=,0.0472,K.m/W,,

8.外部熱阻T4的計(jì)算空氣中敷設(shè),,,,,,,,,

已知:,電纜外徑,,,,De=,12.84,cm,,

,吸收系數(shù),,,,h=,7,W/m2·℃,,

內(nèi)襯層熱阻T4由下式給出:,,,,,,,,,

,,,T4=,100/(π·De·h),,,,,

各參數(shù)代入上述公式得:,,,,,,,,,

,,,,,T4=,0.3541,K.m/W,,

9.單回路、空氣中平行敷設(shè)電纜的載流量,,,,,,,,,

電纜載流量計(jì)算公式如下:,,,,,,,,,

,,,,,,,,,,

,,,,,,,,,,

式中:,Δθ=,50,λ1=,0.227,λ2=,0.000,n=,1,

,R=,2.32E-05,Ω/m,Wd=,0.6909,W/m,T1=,0.5163,K.m/W

,T2=,0,K.m/W,T3=,0.04723,K.m/W,T4=,0.3541,K.m/W

電纜載流量計(jì)算如下:,,,,,,,,,

,,,I=,(Δθ,Wd,R,T1,T2,T3,T4,λ1,λ2),,,,,

,,,,,I=,1456,A,,

備注:,,,,,,,,,

1.考慮在同一遂道放兩回電纜,故為保險(xiǎn)期間空氣溫度按50℃。,,,,,,,,,

"2.考慮在同一遂道放兩回電纜,載流量修正系數(shù)為0.92,故載流量為1275A。",,,,,,,,,

,,,,,,,,,,

10.單回路、空氣中品子形敷設(shè)電纜的載流量,,,,,,,,,

電纜載流量計(jì)算公式如下:,,,,,,,,,

,,,,,,,,,,

,,,,,,,,,,

式中:,Δθ=,50,λ1=,0.114,λ2=,0.000,n=,1,

,R=,2.32E-05,Ω/m,Wd=,0.6909,W/m,T1=,0.5163,K.m/W

,T2=,0,K.m/W,T3=,0.04723,K.m/W,T4=,0.3541,K.m/W

電纜載流量計(jì)算如下:,,,,,,,,,

,,,I=,(Δθ,Wd,R,T1,T2,T3,T4,λ1,λ2),,,,,

,,,,,I=,1490,A,,

備注:,,,,,,,,,

1.考慮在同一遂道放兩回電纜,故為保險(xiǎn)期間空氣溫度按50℃。,,,,,,,,,

"2.考慮在同一遂道放兩回電纜,載流量修正系數(shù)為0.92,故載流量為1315A。",,,,,,,,,

11土壤敷設(shè)載流量的計(jì)算,,,,,,,,,

電纜載流量計(jì)算公式如下:,,,,,,,,,

,,,,,,,,,,

,,,,,,,,,,

,,,,,,,,,,

,土壤熱阻系數(shù),,,,ρT=,1.0,,,

,埋設(shè)深度,,,,L=,1000,mm,,

,,,,,L1=,250.0,,,

,,,,,L1'=,2016.0,,,

,,,,,L2=,250,,,

,,,,,L2'=,2016,,,

,,,,,L3=,1,,,

,,,,,L3'=,1,,,

,,,,,L4=,1,,,

,,,,,L4'=,1,,,

,,,,,L5=,1,,,

,,,,,L5'=,1,,,

,,,,,Fe=,65.03,,,

,,,,,Fe=,65.03,,,

,,,,,雙回路T4=,1.21,,,

,,,,,單回路T4=,1.21,,,

雙回平行,Δθ=,40,λ1=,0.227,λ2=,0.000,,,

,R=,2.32E-05,Ω/m,Wd=,0.6909,W/m,T1=,0.5163,K.m/W

,T2=,0,K.m/W,T3=,0.04723,K.m/W,T4=,1.2124,K.m/W

,,,,,雙回平行排列I=,903,,,

,,,,,,,,,,

雙回品子,Δθ=,40,λ1=,0.114,λ2=,0.000,,,

,R=,2.32E-05,Ω/m,Wd=,0.6909,W/m,T1=,0.5163,K.m/W

,T2=,0,K.m/W,T3=,0.04723,K.m/W,T4=,1.2124,K.m/W

,,,,,雙回品子排列I=,936,,,

,,,,,,,,,,

單回品子,Δθ=,40,λ1=,0.114,λ2=,0.000,,,

,R=,2.32E-05,Ω/m,Wd=,0.6909,W/m,T1=,0.5163,K.m/W

,T2=,0,K.m/W,T3=,0.04723,K.m/W,T4=,1.2124,K.m/W

,,,,,單回品子排列I=,936,,,

,,,,,,,,,,

單回平行,Δθ=,40,λ1=,0.227,λ2=,0.000,,,

,R=,2.32E-05,Ω/m,Wd=,0.6909,W/m,T1=,0.5163,K.m/W

,T2=,0,K.m/W,T3=,0.04723,K.m/W,T4=,1.2124,K.m/W

,,,,,單回平行排列I=,903,,,

,,,,,,,,,,

12穿管敷設(shè)載流量的計(jì)算,,,,,,,,,

電纜載流量計(jì)算公式如下:,,,,,,,,,

,,,,,,,,,,

,,,,,,,,,,

,,,,,,,,,,

,,,,,土壤熱阻ρT=,1.2,管材ρT=,4.7,

,,,,,埋深L=,1200,管材D內(nèi)=,230,

,,,,,L1=,200.0,管材D外=,250,

,,,,,L1'=,2009.0,管道溫度=,30,

,,,,,L2=,200,系數(shù)U=,5.2,

,,,,,L2'=,2009,系數(shù)V=,0.91,

,,,,,L3=,282,系數(shù)Y=,0.01,

,,,,,L3'=,1811,,,

,,,,,L4=,200,,,

,,,,,L4'=,1800,,,

,,,,,L5=,282,,,

,,,,,L5'=,1811,,,

,,,,,Fe=,37452.52,,,

,,,,,Fe=,100.90,,,

,,,,,,,,,,

電纜至管道內(nèi)壁的熱阻,,,,,,,k·m/w,,

,,,,,,,,,,

,,,,,T4'=,0.31,,,

,,,,,,,,,,

管道本身的熱阻,,,,,,,k·m/w,,

,,,,,T4''=,0.0624,,,

,,,,,,,,,,

,,,,,,,,,,

管道外部的熱阻,,,,,,,,,

,,,,,,,,,,

,,,,,雙回T4'''=,2.58,,,

,,,,,單回T4'''

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