架空输电线路课程设计
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东南大学成贤学院11输配电1班 龚向文 新浪微博:@作家涵文博题目:某110KV 线路,通过我国Ⅲ气象区,导线型号为LGJ-185/25,做出相关的应力弧垂曲线、安装曲线。
一、查出气象资料和导线参数1、整理Ⅲ气象区的计算用气象条件,示于表1-1中2、 LGJ —185/25型导线的有关参数,汇集于表1-2中二、计算步骤1、计算架空线路比载自重比载:310010qgA γ-=⨯(,)100γ=(,)33706.19.806651032.7710211.29--⨯⨯=⨯冰重比载:32()5027.72810b d b A γ-+=⨯(,)250γ=(,) 335(518.9)27.7281015.6810211.29--⨯+⨯⨯=⨯垂直总比载:312500050γγγ=+(,)(,)(,)350γ=(,)33332.771015.681018.4510---⨯+⨯=⨯无冰风压比载:23V4c f sc 025d sin 10W A γβαμθ-=⨯(,)4025γ(,)= 33390.6251.00.85 1.118.91032.6710211.29--⨯⨯⨯⨯⨯=⨯覆冰风压比载:23V5c f sc 510(2)sin 10W d b A γβαμθ-+⨯(,)=5510γ(,)= 3362.51.0 1.2 1.0(18.925)1010.2610211.29--⨯⨯⨯+⨯⨯⨯=⨯无冰综合比载:60γ(,25)33601046.2710γ--=⨯(,25)覆冰综合比载:70γ(5,1)33701049.5210γ--=⨯(5,1)∵γ6<γ7∴最大风速不可能作为控制气象条件 2、确定应力值许用应力[σ0]=40%σp =106.86 年均应力上限[σcp ]=25%σp =66.793、 确定临界挡距,判定控制气象条件代入公式ij l ABL ==虚数ACL ==虚数 BCL 139.93==m控制气象条件树图如下:A 为控制气象条件(即年均气温) 三、计算各气象条件的应力状态方程:222221020121220201()2424E l E l E t t γγσσασσ-=--- 673000,19.610E α-==⨯(1) 最高气温○1L=50 γ2=32.77×10-3γ1=32.77×10-3σ01=66.79t 2=40℃ t 1=15℃-322-322-60222020********.77105073000.5066.7919.61073000(4015)242466.79 =35.624σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯-⨯()(327710)解得1、L=100,方法同○102 =σ解得42.114 2、L=150,方法同○102 =σ解得47.340 3、L=200,方法同○102 =σ解得51.328 4、L=250,方法同○1025、L=300,方法同○102 =σ解得56.669 6、L=350,方法同○102 =σ解得58.45 7、L=400,方法同○102 =σ解得59.839 8、L=450,方法同○102 =σ解得60.931 9、L=500,方法同○102 =σ解得61.801 10、 L=550,方法同○102 =σ解得62.5011 11、 L=600,方法同○102 =σ解得63.071(2)最低气温○1L=50 γ2=32.77×10-3γ1=32.77×10-3 σ01=66.79t 2=-10℃ t 1=15℃-322-322-60222020********.7710507300032.775066.7919.61073000(1015)242466.79 =101.522σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯-⨯()(10)解得1、L=100,方法同○102 2、L=150,方法同○102=σ解得94.346 3、L=200,方法同○102=σ解得89.557 4、L=250,方法同○102=σ解得85.038 5、L=300,方法同○102=σ解得81.229 6、L=350,方法同○102=σ解得78.245 7、L=400,方法同○102=σ解得75.974 8、L=450,方法同○102=σ解得74.26 9、L=500,方法同○102=σ解得72.957 10、L=550,方法同○102=σ解得71.954 11、L=600,方法同○102=σ解得71.170(3)最大风速○1L=50 γ2=42.67×10-3γ1=32.77×10-3 σ01=66.79t 2=-5℃ t 1=15℃-322-322-60222020273000105073000.5066.7919.61073000(515)242466.79=95.107σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯--⨯(42.67)(327710)解得1、L=100,方法同○102 =σ解得94.312 2、L=150,方法同○102 =σ解得93.26 3、L=200,方法同○102 =σ解得92.19 4、L=250,方法同○102 =σ解得91.237 5、L=300,方法同○102 =σ解得90.449 6、L=350,方法同○102 =σ解得89.822 7、L=400,方法同○102 =σ解得89.329 8、L=450,方法同○102 =σ解得88.9419、L=500,方法同○102 =σ解得88.635 10、 L=550,方法同○102 =σ解得88.392 11、 L=600,方法同○102 =σ解得88.195(4)覆冰○1L=50 γ2=49.52×10-3γ1=32.77×10-3 σ01=66.79t 2=-5℃ t 1=15℃-322-322-6022202027300010507300032.775066.7919.61073000(515)242466.79=95.616σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯--⨯(49.52)(10)解得1、L=100,方法同○102 =σ解得96.154 2、L=150,方法同○102 =σ解得96.834 3、L=200,方法同○102 =σ解得97.507 4、L=250,方法同○102 =σ解得98.099 5、L=300,方法同○102 =σ解得98.59 6、L=350,方法同○102 =σ解得98.9887、L=400,方法同○102 =σ解得99.305 8、L=450,方法同○102 =σ解得99.560 9、L=500,方法同○102 =σ解得99.764 10、 L=550,方法同○102 =σ解得99.92911、 L=600,方法同○102 =σ解得100.064(5)年均气温因为只受年均气温控制γ2=32.77×10-3 γ1=32.77×10-3 σ01=66.79 t 2=15℃ t 1=15℃ L=50-322-322-60222020273000.105073000.775066.7919.61073000(1515)242466.79 =66.79σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯-⨯(3277)(3210)解得L=100 02=66.79σ L=150 02=66.79σ L=200 02=66.79σ L=250 02=66.79σ L=300 02=66.79σ L=350 02=66.79σ L=40002=66.79σ L=450 02=66.79σ L=500 02=66.79σ L=550 02=66.79σ L=600 02=66.79σ四、计算最高温度下的弧垂弧垂的计算公式:218Lfγσ=(γ1=32.77×10-3)L=50 σ0=35.624-3232.771050=0.2874835.624f⨯⨯=⨯L=100 σ0=42.114-3232.7710100=0.97266842.114f⨯⨯=⨯L=150 σ0=47.34-3232.7710150=1.94689847.34f⨯⨯=⨯L=200 σ0=51.328-3232.7710200=3.192215851.328f⨯⨯=⨯L=250 σ0=54.357-3232.7710250=4.709892854.357f⨯⨯=⨯L=300 σ0=56.669-3232.710300=6.505541856.669f⨯⨯=⨯L=350 σ0=58.45-3232.7710350=8.584955858.45f⨯⨯=⨯L=400 σ0=59.839-3232.7710400=10.95272859.839f⨯⨯=⨯L=450 σ0=60.931-3232.7710450=13.61361860.931f⨯⨯=⨯L=500 σ0=61.801-3232.7710500=16.57032861.801f⨯⨯=⨯L=550 σ0=62.501-3232.7710550=19.82553862.501f⨯⨯=⨯L=600 σ0=63.071 -3232.7710600=23.38079863.071f ⨯⨯=⨯五、作出应力弧垂曲线(详见附录一)六、计算-10℃―40℃安装曲线-10℃时:○1L=50 γ2=32.77×10-3γ1=32.77×10-3 σ01=66.79t 2=-10℃ t 1=15℃-322-322-60222020********.77105073000.5066.7919.61073000(1015)242466.79=101.522σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯--⨯()(327710)解得2-32-311000210032.771000.4034888101.522f γσ⨯⨯==⨯=⨯10101、L=100,方法同○102 =σ解得98.599 100f =0.41545 2、L=150,方法同○102 =σ解得94.346 100f =0.43417 3、L=200,方法同○102 =σ解得89.57 100f =0.45735 4、L=250,方法同○102 =σ解得85.038 100f =0.4816902 =σ解得81.229 100f =0.50428 6、L=350,方法同○102 =σ解得78.245 100f =0.52353 7、L=400,方法同○102 =σ解得75.974 100f =0.53917 8、L=450,方法同○102 =σ解得74.260 100f =0.55161 9、L=500,方法同○102 =σ解得72.957 100f =0.56146 10、 L=550,方法同○102 =σ解得71.954 100f =0.56929 11、 L=600,方法同○102 =σ解得71.170 100f =0.575560℃时○1L=50 γ2=32.77×10-3γ1=32.77×10-3 σ01=66.79t 2= 0℃ t 1=15℃-322-322-60222020********.77105073000.5066.7919.61073000(015)242466.79 =87.489σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯-⨯()(327710)解得2-32-311000210032.771000.46828887.489f γσ⨯⨯==⨯=⨯101002=σ解得85.409100f=0.47960 2、L=150,方法同○102=σ解得82.562100f=0.49614 3、L=200,方法同○102=σ解得79.963100f=0.51464 4、L=250,方法同○102=σ解得76.963100f=0.53224 5、L=300,方法同○102=σ解得74.845100f=0.54729 6、L=350,方法同○102=σ解得73.216100f=0.55948 7、L=400,方法同○102=σ解得71.983100f=0.56906 8、L=450,方法同○102=σ解得71.047100f=0.57656 9、L=500,方法同○102=σ解得70.329100f=0.58244 10、L=550,方法同○102=σ解得69.771100f=0.587099 11、L=600,方法同○102=σ解得69.332100f=0.5908210 ℃时○1L=50 γ2=32.77×10-3γ1=32.77×10-3 σ01=66.79t 2=10 ℃ t 1=15℃-322-322-60222020********.77105073000.5066.7919.61073000(1015)242466.79 =73.62σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯-⨯()(327710)解得2-32-311000210032.771000.556418873.62f γσ⨯⨯==⨯=⨯10101、L=100,方法同○102 =σ解得72.788 100f =0.56276 2、L=150,方法同○102 =σ解得71.730 100f =0.57107 3、L=200,方法同○102 =σ解得70.757 100f =0.57892 4、L=250,方法同○102 =σ解得69.932 100f =0.58575 5、L=300,方法同○102 =σ解得69.289 100f =0.59118 6、L=350,方法同○102 =σ解得68.799 100f =0.59539 7、L=400,方法同○102 =σ解得68.427 100f =0.59863 8、L=450,方法同○1021009、L=500,方法同○102 =σ解得67.923 100f =0.60307 10、 L=550,方法同○102 =σ解得67.751 100f =0.604604 11、 L=600,方法同○102 =σ解得67.613 100f =0.60584 20 ℃时○1L=50 γ2=32.77×10-3γ1=32.77×10-3 σ01=66.79t 2=20 ℃ t 1=15℃-322-322-60222020********.77105073000.5066.7919.61073000(2015)242466.79 =60.069σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯-⨯()(327710)解得2-32-311000210032.771000.681928860.069f γσ⨯⨯==⨯=⨯10101、L=100,方法同○102 =σ解得61.072 100f =0.67073 2、L=150,方法同○102 =σ解得62.175 100f =0.65883 3、L=200,方法同○102 =σ解得63.133 100f =0.64883 4、L=250,方法同○102 =σ解得63.891 100f =0.64113 5、L=300,方法同○1021006、L=350,方法同○102 =σ解得64.913 100f =0.63104 7、L=400,方法同○102 =σ解得65.251 100f =0.62777 8、L=450,方法同○102 =σ解得65.511 100f =0.62528 9、L=500,方法同○102 =σ解得65.714 100f =0.62335 10、 L=550,方法同○102 =σ解得65.875 100f =0.621822 11、 L=600,方法同○102 =σ解得66.004 100f =0.6206130 ℃时○1L=50 γ2=32.77×10-3γ1=32.77×10-3 σ01=66.79t 2=30 ℃ t 1=15℃-322-322-60222020********.77105073000.5066.7919.61073000(3015)242466.79 =47.168σσσ⨯⨯⨯⨯⨯⨯-=--⨯⨯-⨯()(327710)解得2-32-311000210032.771000.868448847.168f γσ⨯⨯==⨯=⨯10101、L=100,方法同○102 =σ解得51.380 100f =0.797252、L=150,方法同○102=σ解得54.030100f=0.75814 3、L=200,方法同○102=σ解得56.693100f=0.72253 4、L=250,方法同○102=σ解得58.739100f=0.69737 5、L=300,方法同○102=σ解得60.297100f=0.67935 6、L=350,方法同○102=σ解得61.486100f=0.66621 7、L=400,方法同○102=σ解得62.402100f=0.65643 8、L=450,方法同○102=σ解得63.116100f=0.649003 9、L=500,方法同○102=σ解得63.680100f=0.64326 10、L=550,方法同○102=σ解得64.129100f=0.638752 11、L=600,方法同○102=σ解得64.492100f=0.635156 40℃时应力已经在前面算出,直接算弧垂。