导线应力弧垂计算

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1、导线应力弧垂计算、确定相关参数表一川气象区条件代表情况温度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表二LGJ-300/50型导线参数截面积A（ mm）外径（mm ）温膨系数（1/C）弹性模数E（Mpa）348.3624.26618.9 1076000单位长度质里G（kg/km ）瞬时破坏应力p （Mpa）安全系数K1210282.02.5、相关比载计算1.自重比载1(0,0)qgA1210 9.80665 10348.3634.06 10 3(Mpa/m)2. 冰重比载2(5

2、,0)27728心 10 3 27.728 驾护10311.60 10 3(Mpa/m)3. 垂直总比载(5,0)/0,0)2(5,0) 45.66 10 3(Mpa /m)4. 无冰风压比载V21021.6 1.662.5 (Pa)1.62521.6390.63(Pa)1 ）外过电压、安装有风:4(0,10)c103 0.85 如6 證 10-3=4.1010( Mpa/m )2 ）最大设计风速:计算强度:4(0,25)scdsifA3390.633101.0 0.85 1.1 24.2610348.3625.43-310( Mpa/m低于500kv的线路 c取1.0，计算强度时f按表取0.

3、85，当d 17mm 时sc取1.1.计算风偏:4（0,25）c f scdsin210 3A1.0 0.75 1.124.26390.63 10 3348.363=22.4410- （ Mpa/m ）计算风偏时f 取 0.753）内过电压:V21521.6140.625 （Pa）（0,15）scd Wv si n2103sc A1.00.85 1.124.26140.625 10 3348.36=9.16-310（ Mpa/m ）5. 覆冰风压比载1.61021.662.5（5,10）scB（d 2b）% in2A101.0 1.0 1.2 1.1 （24.2610）62.5348.3610

4、-38.11 10（ Mpa /m）6. 无冰综合比载外过电压、安装有风:6（0,25）,（0,0）24（0,10）.34.062 4.102 10-334.31 10 3（Mpa/m）最大设计风速（计算强度）：6（0,25）. 1（0,0）24（0,25）234.062 25.432 10-3 42.51 10 3（Mpa/m）最大设计风速（计算风偏）.34.062 22.442 10-3 40.79 10 3(Mpa/m)6(0,25).(0Q)24(0,25)2内过电压：6(0,10)： ；(0,0)24(0,12.5)234.062 9.162 1 0-3 35.27 1 0 3(Mp

5、a/m)7. 覆冰综合比载46.37 103(Mpa/m)7(5,10). 3(5,0)25(5,10)2表三比载名称符号结果(10-3MPa/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Y5(5,10)8.11无冰有风y6(0,10)(外过电压、安装有风)34.31Y6(025)(最大风，计算强42.51综合比载度)y6(0,25)(最

6、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、确定应力值(1)最大使用应力： 匕 空20112.8(Mpa)k 2.5(2 )年平均运行应力上线：pjp 25%282.0 25%70.5(Mpa)四、计算临界档距，判断控制气象条件因为覆冰与最大风情况下的最大使用应力和气温都相同，又覆冰时的比载大于最大风时的比载，故最大风不再作为控制气象图条件考虑。表四比值/ 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(10-3Mpa/m)34.0646.3734.06(Mpa)112.8112.870.5/ o(1/m)

7、0.30210-30.41110-30.48310-3排序abc临界档距计算(无高差)公式：lij24 j cl E (tjt)E(0jj)2(0i)21 ab24 112.8 112.8 1.4346 ( 5 10) _70.72 76000 (0.411 10 3)2 (0.302 10 3)21 ae24 70.5 112.8 1.4346 (15 10)=虚数 76000 (0.483 10 3)2 (0.302 10 3)21 be：24 70.5 血叮4346 (15 5)2 =虚数76000 (0.483 10 3)2 (0.411 10 3)2表五可能控制气象条件可能的控制条件

8、a（最低温）b（覆冰）临界档距（m ）lab 170.72lbe虚数lae虚数因为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表六已知条件参数已知条件年均温t( C)15b(mm)0v(m/s)0(10-3Mpa/m)34.06(Mpa)70.5状态方程计算式:002E22i224 02201界E(t2 t1)24 011.最咼温:E 20224 02201E和224 012E (t2t1 )带入数据得:76000 (3406 1 03)2 I20224 02270576000(3406 103

9、)2 I22427051.4364 (40-13.67123 2 2即：02 (0.00074134.64)。250m:302(0.0007450234.64)2023.6750200238.86(Mpa)100m:302(0.00074100234.64)2023.6710020245.20(Mpa)150m:302(0.00074150234.64)2023.6715020250.44(Mpa)200m:302(0.00074200234.64)2023.6720020254.49(Mpa)250m:302(0.00074250234.64)2023.672502当档距为以下各值时，由状态

10、方程求得应力:0000257.58(Mpa)300m:302(0.00074300234.64)2023.6730020259.95(Mpa)350m:302(0.00074350234.64)2023.6735020261.78(Mpa)400m:302(0.00074400234.64)2023.6740020263.21(Mpa)450m:302(0.00074450234.64)2023.6745020264.33(Mpa)500m:302(0.00074500234.64)2023.6750020265.24(Mpa)2.最低温:0000002 E 22l224 02212l2012

11、4201E (t2ti)02102.50(Mpa)带入数据得:0276000 (3406 103)2l2242027Q576000(3406 1O3)2 l224 7Q521.4364 (-10-133222即：02(0.000741106.41)023.6710当档距为以下各值时，由状态方程求得应力：50m:023 (0.00074 502 106.41022 3.67 502002105.39(Mpa)3222100m:02(0.00074 100106.41)023.67 100150m:302(0.000741502106.41)2023.6715020298.30(Mpa)200m:

12、302(0.000742002106.41)2023.6720020293.58(Mpa)250m:302(0.000742502106.41)2023.6725020288.82(Mpa)300m:302(0.000743002106.41)2023.6730020285.06(Mpa)350m:302(0.000743502106.41)2023.6735020282.23(Mpa)400m:302(0.000744002106.41)2023.6740020279.80(Mpa)450m:302(0.000744502106.41)2023.6745020278.02(Mpa)500m:

13、302(0.000745002106.41)2023.6750020276.75(Mpa)3.最大风:E ；22|2E12i2E(t2tj02 242 0120224 01带入数据得：0000000076000 (4251 1C-3)2 I2 初厂 76000 (3406 1O3)2 l2 02 -27Q5224 0224 7Q53 2 2 2即：。2 (0.00074I99.20)。25.72I0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) 022 5.72 502 002 98.81(Mpa)100m: 023 (0.00074 1002

14、 02 97.78(Mpa)150m: 023 (0.00074 1502 02 96.40(Mpa)32200m: 02 (0.00074 200 02 94.97(Mpa)32250m: 023 (0.00074 250202 93.68(Mpa)32300m: 02 (0.00074 300202 92.69(Mpa)32350m: 02 (0.00074 350202 91.83(Mpa)32400m: 023 (0.00074 400202 91.09(Mpa)32450m: 02 (0.00074 450202 90.51(Mpa)32500m: 023 (0.00074 5002

15、2299.20) 022 5.72 1002 099.20) 022 5.72 1502 099.20) 022 5.72 2002 02299.20) 022 5.72 2502 099.20) 022 5.72 3002 02299.20) 022 5.72 3502 02299.20) 022 5.72 4002 099.20) 022 5.72 4502 02299.20) 022 5.72 5002 002 #.15(Mpa)014覆冰无风:02242干i2l220224201E(t2 ti)0297.02(Mpa)带入数据得:0276000 (4637 10-3)2 l224202

16、7Q576000 (3406 1O3)2 l224 705214364 (-5-15)3222即：02(0.0007499.20)026.8110当档距为以下各值时，由状态方程求得应力:022 6.81 50203250m: 02 (0.00074 5099.20)0299.08(Mpa)100m:302(0.00074100299.20)2026.81100200298.78(Mpa)150m:302(0.00074150299.20)2026.81150200298.38(Mpa)200m:302(0.00074200299.20)2026.81200200297.98(Mpa)250m:

17、302(0.00074250299.20)2026.81250200297.43(Mpa)300m:302(0.00074300299.20)2026.81300200297.32(Mpa)350m:302(0.00074350299.20)2026.8135020400m:302(0.00074400299.20)2026.81400200296.88(Mpa)450m:302(0.00074450299.20)2026.81450200296.73(Mpa)500m:302(0.00074500299.20)2026.81500200296.61(Mpa)5.安装022422l212l22

18、020124201E (t2 t1 )0288.60(Mpa)带入数据得:0276000 (3431 103)2l2242027Q576000 (3406 103)2 l224 7Q521.4364 (-5-1f)3222即：02(0.0007499.20)。23.7310当档距为以下各值时，由状态方程求得应力:022 3.73 502050m: 023 (0.00074 502 99.20)0298.31(Mpa)100m:302(0.00074100299.20)023.73100200295.86(Mpa)150m:302(0.00074150299.20)023.73150200292

19、.38(Mpa)3(0.00074299.20)22200m:02200023.732000250m:302(0.00074250299.20)2023.7325020285.12(Mpa)300m:302(0.00074300299.20)2023.7330020282.24(Mpa)350m:302(0.00074350299.20)2023.7335020279.98(Mpa)400m:302(0.00074400299.20)2023.7340020278.26(Mpa)450m:302(0.00074450299.20)2023.7345020276.94(Mpa)500m:302(

20、0.00074500299.20)2023.7350020275.93(Mpa)0000006.外过有风022422l212l22020124201E (t2t1 )带入数据得:0276000 (4251 103)2l2242027Q576000 (3406 103)2 l224 7Q521.4364 (15-15)即：023 (0.00074I2 70.5)022 5.7212 0当档距为以下各值时，由状态方程求得应力:022 5.72 502050m: 023 (0.00074 502 70.5)100m:302(0.00074100270.5)2025.720273.78(Mpa)150

21、m:302(0.00074150270.5)2025.720276.08(Mpa)200m:302(0.00074200270.5)2025.720278.16(Mpa)250m:302(0.000742502702025.720280.05(Mpa)300m:302(0.00074300270.5)2025.720281.23(Mpa)350m:302(0.000743502702025.720282.59(Mpa)400m:302(0.00074400270.5)2025.720283.46(Mpa)450m:302(0.00074450270.5)2025.720284.17(Mpa)5

22、00m:302(0.00074500270.5)2025.720271.45(Mpa)2100 0215002200 02250023000235002400024500250000284.72(Mpa)7.外过无风E 2甲224 0224 01E (t2ti )带入数据得:0276000 (3406 1C-3)2l22420270576000(3406 1O3)2 l224 70521.4364 (1&1耳即：02 705(Mpa)8.操作过电压022422l212l22020124201E (t2t1 )带入数据得:0276000 (34.65 103)2l2242027Q576000 (

23、3406 103)2 l224 70521.4364 (15-1f)32、22即：02(0.00074l2 70.5)023.80l2 0当档距为以下各值时，由状态方程求得应力:022 3.80 502050m: 023 (0.00074 502 70.50270.56(Mpa)100m:302(0.00074100270.5)2023.80100200270.71(Mpa)150m:302(0.00074150270.5)2023.80150200270.87(Mpa)200m:302(0.00074200270.5)2023.80200200271.03(Mpa)250m:302(0.00

24、074250270.5)2023.80250200271.56(Mpa)302300m:02(0.000743002702023.80300271.26(Mpa)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(Mpa)档距(m)最高气温(Mpa)最低气温(Mpa)最大风速

25、(Mpa)覆冰无风(Mpa)年均温(Mpa)5038.86105.3998.8199.0870.5010045.20102.5097.7898.7870.5015050.4498.3096.4098.3870.5020054.4993.5894.9797.9870.5025057.5888.8293.6897.4370.5030059.9585.0692.6997.3270.5035061.7882.2391.8397.0270.5040063.2179.8091.0996.8870.50表七LGJ-300/50型导线应力计算表45064.3378.0290.5196.7370.5050065

26、.2476.7590.1596.6170.50续表档距(m)安装(Mpa)外过有风(Mpa)外过无风(Mpa)操作过电压(Mpa)5098.3171.4570.570.5610095.8673.7870.570.7115092.3876.0870.570.8720088.6078.1670.571.0325085.1280.0570.571.5630082.2481.2370.571.2635079.9882.5970.571.3340078.2683.4670.571.3945076.9484.1770.571.4450075.9385.7270.571.471.最咼温:六、计算弧垂弧垂计算

27、公式:8 0b3234.06 10- 5050m: f8 38.860.274(m)100m:3234.06 10-1008 45.200.912(m)150m:3234.06 10-1508 50.441.90(m)200m:3234.06 10-2008 54.493.13(m)250m:-3234.06 102508 57.584.62(m)300m:3234.06 10-3008 59.956.39(m)350m:-3234.06 103508 61.788.44(m)400m:3234.06 10- 4008 63.2110.78(m)450m:-3234.06 104508 64.

28、3313.40(m)32r 34.06 10-500500m: f16.31(m)8 65.242.外过无风:32r 34.06 10-5050m: f0.14(m)8 70.534.0610-31002870.534.0610-31502870.534.0610-32002870.534.0610-32502870.534.0610-33002870.534.0610-33502870.534.0610-34002870.5100m: f0.55(m)150m: f1.24(m)200m: f2.20(m)250m: f3.44(m)300m: f4.96(m)350m: f6.75(m)4

29、00m: f8.82(m)32450m: f 34.06 10-4508 70.534.063210-500870.532M.06 10-508 99.0834.063210-100898.7834.06-310150898.3834.063210-200897.9834.06-3210250897.4334.063210-300897.3234.06-3210350897.02500m: f13.78(m)3.覆冰无风:50m: f0.11(m)100m: f0.43(m)150m: f0.97(m)200m: f1.74(m)250m: f2.73(m)300m: f3.94(m)350m

30、: f11.16(m)5.78(m)400m:8 96.887.03(m)32450m:500m:8.91(m)11.02(m)34.06 10-4508 96.733234.06 10-5008 96.61表八LGJ-300/50型导线弧垂计算表档距（m）最高温（m）外过无风（m ）覆冰无风（m）500.270.140.111000.910.550.431501.901.240.972003.132.201.742504.623.442.733006.394.963.943508.446.755.7840010.788.827.0345013.4011.168.9150016.3113.7811.02七、应力弧垂曲线绘制导线应力曲线最高气温(制閨) 最低气温(MpM pa)H jK无凤tMpe)年均温(MpaJ实装阳pa)外过有凤阳pa)外过无凤Npn) 作过电压(Wlpa)导线弧垂曲线Siftfitr*1)外过无冈5)覆氷无風(m)