导线应力弧垂计算

1、导线应力弧垂计算、确定相关参数代表情况温度t( C )风速v（m冰厚b （ mm）最高气温40最低气温-10最大风速-525覆冰-5105年均温15内过电压15150外过电压15100安装情况-5100川气象区条件表截面积A（ mm）外径（mm ）温膨系数（1/C）弹性模数E（M pa）348.3624.26618.9 1076000单位长度质量G（kg/km ）瞬时破坏应力P （Mp a）安全系数K1210282.02.5表二LGJ-300/50型导线参数、相关比载计算1.自重比载1(0,0)qg1210 9.80665 10 3 34.06 10 3(Mpa/m)348.362.冰重比载2

2、(5,0)27.728b 10 327.728 5 (5 沖348.3610 311.60 10 3(Mpa/m)3.垂直总比载(5,0)1(0,0)(5,0)45.6610 3(Mpa /m)4.无冰风压比载W VL1.61021.662.5( Pa)v!1.62521.6390.63( Pa)1）外过电压、安装有风:4(0,10)f scd 罟 sin2A10 31.0 0.85 1.124.26 蛊 10 3=4.10-310( Mpa/m2 ）最大设计风速:计算强度:（0,25）scd 号 s in2A103 1.0 O.85 1.1 24.26 霍 10325.43-310( Mpa

3、/m低于500kv的线路 c取1.0，计算强度时f按表取0.85，当d 17mm 时sc取计算风偏:4(0,25)c f scdA-sin210 3A1.0 0.75 1.124.26390.63 10 3348.36=22.4410-3 ( Mpa/m )计算风偏时f 取 0.753）内过电压:V21521.6140.625 (Pa)(0,15)scdsi n2103A1.00.85 1.124.26咤10 3348.36=9.16-310-( Mpa/m )5. 覆冰风压比载v!1.61021.662.5(5,10)scB(d 2b)W"s in2A101.0 1.0 1.2 1

4、.1 (24.2610)62.5348.3610-338.11 10(Mpa/m)6. 无冰综合比载外过电压、安装有风:6(0,25)V 1(0,0)24(0,10)2V34.062 4.102 10-334.31 10 3(Mpa/m)最大设计风速（计算强度）：6(0,25)7(0,0)24(0,25)2V34.062 25.432 10-342.51 10 3(Mpa/m)最大设计风速（计算风偏）：6(O,25)J i(0,0)24(0,25)2V34.062 22.442 10-3 40.79 10 3(Mpa/m)内过电压:6(0,10)i(0,0)24(O,12.5)2134.062

5、 9.162 1 0 3 35.27 1 0 3(Mpa/m)46.37 1O3(M pa/m)7. 覆冰综合比载7(5,1O)J 3(5,O)25(5,1O)2名称符号结果3(10 MPa/m)自重比载丫 1(0,0)34.06冰重比载丫2(5,0)11.60垂直比载丫3(5,0)45.66无冰风压比载丫4(0,10)(外过电压、安装有风)4.10丫4(0,25)(最大风，计算强 度)25.43丫4(0,25)(最大风，计算风 偏)22.254 (0,15 )(内过电压)9.61覆冰风压比载t5(5,10)8.11无冰有风t6(0,10)(外过电压、安装有风)34.31Y3(O25)(最大风

6、，计算强42.51比载表三综合比载度)t6(0,25)(最大风，计算风 偏)40.796 ( 0,15 )(内过电压)35.27覆冰有风综合比载Y7(5,10)46.37三、确定应力值(1)最大使用应力：112.8(M pa)(2 )年平均运行应力上线：pj P 25%282.0 25%70.5(Mpa)四、计算临界档距，判断控制气象条件又覆冰时的比载大于最大风时因为覆冰与最大风情况下的最大使用应力和气温都相同,的比载，故最大风不再作为控制气象图条件考虑。表四比值/ o计算结果及其排序表气象条件最低温覆冰有风年均温气温-10-515(10-3M pa/m)34.0646.3734.060(Mp

7、a)112.8112.870.5/ 0(1/m)30.30210-0.41110-330.48310-排序abc临界档距计算(无高差)公式：lij単0j 0 E (tj ti)J T(廿1 ab/ 24 112.8 112.8 1.4346( 5 10) _JQ OQ O =170.72V76000 (0.411 10 3)2 (0.302 10 3)21 acJ 24 70.5 112.8 1.4346(15 10)V76000 (0.483 10 3)2 (0.302 10 3)21 bcJ 24 70.5 "佗厂.4346 "5 S),=虚数”76000 (0.483

8、 10 3)2 (0.411 10 3)2可能的控制条件a（最低温）b（覆冰）临界档距（m ）lab 170.72lbc虚数lac虚数可能控制气象条件表五因为a,b档内均存在虚数，所以a,b不再成为控制气象条件。所以可以判定不论档距多大，年均温为控制气象条件。五、状态方程求应力已知年均温为控制气象条件已知条件年均温t( C)15b(mm)0v(m/s)0已知条件参数表六2(1Q-3M pa/m)34.060(Mpa)70.5状态方程计算式:Q2-臭E 2|201 2 E(t2 t1)1.最咼温:E 22|2 乜02201E 12|224 012E(t2 ti)带入数据得:76QQQ(34.Q6

9、 103)2 l202-24 0227Q576QQQ(34Q6 103)2 l2241.4364 (40-15)3.6712322即：02 (Q.QQQ74J34.64)。鸟当档距为以下各值时，由状态方程求得应力:5Qm:302(Q.QQQ745Q234.64)2023.675Q20238.86(M pa)1QQm:Q?3 (Q.QQQ741QQ234.64)2023.671QQ20245.20(M pa)15Qm:202(Q.QQQ7415Q234.64)2023.6715Q20250.44(M pa)200m:Q?3 (Q.QQQ742QQ234.64)2023.672QQ20254.49

10、(M pa)250m:Q?3 (Q.QQQ7425Q234.64)023.6725Q20257.58(M pa)300m:302(0.00074300234.64)2023.673002350m:400m:450m:500m:0259.95(M pa)023 (0.000740261.78(M pa)302(0.000740263.21(Mpa)302(0.000740264.33(M pa)023 (0.000740265.24(M pa)2.最低温:E 221224 02201带入数据得:3502400245025002E121224 01276000 (3406 1 03)2 l2022

11、4 02234.64)34.64)34.64)34.64)7Q5202202202202ti)3.6735023.673.673.6740024502500276000(3406 1O3)2 l22470521.4364 (-10-13322即：02(0.00074106.41)023.6712当档距为以下各值时，由状态方程求得应力:350m:022(0.00074 50106.4D2023.6750202105.39(M pa)3100m:022(0.00074 100106.41)022 3.67 10002102.50(M pa)150m:302(0.000741502106.41)20

12、23.671502200m:250m:300m:350m:400m:450m:500m:3.最大风:0298.30(M pa)023 (0.000740293.58(M pa)302(0.000740288.82(M pa)302(0.000740285.06(M pa)023 (0.000740282.23(M pa)302(0.000740279.80(M pa)023 (0.000740278.02(M pa)302(0.000740276.75(M pa)E 22|2 02 24 02201带入数据得:76000 (425124 0：即:200225023002350240024502

13、5002E12l224 012106.41)106.41)106.41)106.41)106.41)106.41)106.41)E(t22022022022022022022023.673.673.673.673.673.673.6720022502300235024002450250027Q5 76000(3406 1O3)2 l2224 7Q5322202(0.00074199.20)025.72101.4364 (-5-1302 -当档距为以下各值时，由状态方程求得应力：50m:023 (0.00074 502 99.20)20225.72 502 0100m:150m:200m:250

14、m:300m:350m:400m:450m:02 98.81(Mpa)3023 (0.0007402 97.78(Mpa)3023 (0.0007402 96.40(Mpa)023 (0.0007402 94.97(Mpa)3023 (0.0007402 93.68(Mpa)023 (0.0007402 92.69(Mpa)3023 (0.0007402 91.83(Mpa)3023 (0.0007402 91.09(Mpa)023 (0.0007402 90.51(Mpa)31002150220022502300235024002450299.20)99.20)99.20)99.20)99.

15、20)99.20)99.20)99.20)2022022022022022022022025.725.725.725.725.725.725.725.7210021502200225023002350240024502500m:023 (0.00074500299.20)2025.725002002 90.15(Mpa)4.覆冰无风:E 22l202 224 0201E12l224 Q12E(t2 ti)带入数据得:76000 (4637022477Q576000 (3406 103)2 l2247Q5214364 (-5-15)即:322Q2 (0.0007499.20)q26.8112当档

16、距为以下各值时，由状态方程求得应力:5Qm:32Q2 (0.00074 5099.20)2Q226.81 5001QQm:15Qm:2QQm:25Qm:3QQm:Q2 99.Q8(M pa)302(0.00074Q2 98.78(M pa)Q23 (0.00074Q2 98.38(M pa)3Q2 (0.00074Q2 97.98(M pa)3Q2 (0.00074Q2 97.43(M pa)Q23 (0.00074Q2 97.32(M pa)31QQ215Q22QQ225Q23QQ299.20)99.20)99.2Q)99.2Q)99.2Q)2Q22Q22Q22Q22Q26.816.816.

17、816.816.811QQ215Q22QQ225Q23QQ235Qm:Q2 (Q.QQQ7435Q299.2Q)2Q26.8135Q2QQ2 97.Q2(M pa)400m:302(0.00074400299.20)2026.814002450m:500m:5.安装0296.88(M pa)023 (0.000740296.73(M pa)302(0.000740296.61(M pa)E 22|2 02 24 02201带入数据得:4502500224 01276000 (34.31 103)2 l202-24 022即:99.20)99.20)E(t2 ti)2022026.816.814

18、5025002“ 76000(3406 10'3)2 l270.52470521.4364 (-5-1332202(0.0007499.20)023.73l2当档距为以下各值时，由状态方程求得应力:50m:3202(0.00074 5099.20)20223.73 500100m:150m:0298.31(Mpa)302(0.000740295.86(M pa)023 (0.000740292.38(M pa)31002150299.20)99.20)2022023.733.7310021502200m:02(0.00074200299.20)2023.73200200288.60(M

19、 pa)250m:302(0.00074250299.20)2023.732502300m:350m:400m:450m:500m:0285.12(M pa)023 (0.000740282.24(M pa)302(0.000740279.98(M pa)302(0.000740278.26(M pa)023 (0.000740276.94(M pa)302(0.000740275.93(M pa)6.外过有风E 22|2 02 24 022E01带入数据得:3002350240024502500224 01276000 (4251 103)2 |202"24 02299.20)99

20、.20)99.20)99.20)99.20)E(t2 ti)2022022022022023.733.733.733.733.733002350240024502500276000 (34.06 10)2 l27Q524 70521.4364 (15-15)即:023 (0.0007412 70.5)0225.72120当档距为以下各值时，由状态方程求得应力:3250m:02(0.00074 5070.5022 5.72 5020100m:150m:200m:250m:300m:350m:400m:450m:500m:0271.45(M pa)302(0.000740273.78(M pa)0

21、23 (0.000740276.08(M pa)302(0.000740278.16(M pa)023 (0.000740280.05(M pa)302(0.000740281.23(M pa)302(0.000740282.59(M pa)023 (0.000740283.46(M pa)302(0.000740284.17( Mpa)023 (0.000740284.72(M pa)7.外过无风E 22|224 0221002150220022502300235024002450250022|21 I01 224 0170.5)70.5)70.5)70.5)70.5)70.5)70.5)E

22、(t2202202202202202202202202202ti)5.725.725.725.725.725.725.725.725.72100215022002250230023502400245025002带入数据得:76000(34.06 103)2 l20224 0227Q576000(34 06 1 03)2121.4364 (15-1524 7Q52即:02 7Q5(M pa)8.操作过电压02 -啓0124 012E(t2 ti)带入数据得:76000(34.65 103)2 l20224 022”u 76000 (3406 103)2 l2705247Q521.4364(15-

23、15)即:3202(0.0007412 70.5)2023.8012当档距为以下各值时，由状态方程求得应力:50m:3202(0.00074 5070.5)2023.80502100m:150m:200m:250m:0270.56(M pa)023 (0.000740270.71(M pa)302(0.000740270.87(M pa)302(0.000740271.03(M pa)302(0.000740271.56(M pa)100215022002250270.5)70.5)70.5)70.5)2022022022023.803.803.803.80100150220022502023

24、00m:302(0.000743002702023.80300271.26(M pa)350m:302(0.00074350270.5)2023.8035020271.33( Mpa)400m:302(0.00074400270.5)2023.8040020271.39( Mpa)450m:302(0.00074450270.5)2023.8045020271.44( Mpa)500m:302(0.00074500270.5)2023.8050020271.47(M pa)档距(m)最高气温(Mp a)最低气温(Mp a)最大风速(Mp a)覆冰无风(Mp a)年均温(Mp a)5038.86

25、105.3998.8199.0870.5010045.20102.5097.7898.7870.5015050.4498.3096.4098.3870.5020054.4993.5894.9797.9870.5025057.5888.8293.6897.4370.5030059.9585.0692.6997.3270.5035061.7882.2391.8397.0270.5040063.2179.8091.0996.8870.50表七型导线应力计算表LGJ-300/5045064.3378.0290.5196.7370.5050065.2476.7590.1596.6170.50续表档距(m

26、)安装(Mp a)外过有风(Mp a)外过无风(Mp a)操作过电压(Mp a)5098.3171.4570.570.5610095.8673.7870.570.7115092.3876.0870.570.8720088.6078.1670.571.0325085.1280.0570.571.5630082.2481.2370.571.2635079.9882.5970.571.3340078.2683.4670.571.3945076.9484.1770.571.4450075.9385.7270.571.47六、计算弧垂1.最咼温:弧垂计算公式:l28 0b34.06 10-503250m:0.274(m)8 38.86100m:150m:200m:250m:300m:350m:400m:450m:34.06 10-3 1002845.2034.063210-150850.4434.0610-3 2002854.4934.06-3210250857.5834.0610-3 3002859.9534.06-3210350861.7834.0610-3 4002863.2134.06-3210450864.33f0.912(m)1.90(m)f3.13(m)4.62(m)f6.39(m)8.44(m)f10.78(m)13.40(m)500m: f2