Question

I have a quention for problem 5.16.

You can refer problem 4.20, 4.41 to solve the 5.16. So I attached the information for the problem solving including some table of ASCR.

But the problem is the last picture I attached. I don't know why 0.0969 (resistance) is have to divided by 3.

Please give me very detailed and easy explation.

The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 300-km length. Calculate: (a) Z (b) (y), and (c) the exact ABCD param- eters for this line. Assume a 50°C conductor temperature. 5,16 4.18. A 230-kV, 60-Hz, three-phase completely transposed overhead line has one ACSR 954 kcmil conductor per phase and flat horizontal phase spac- ing, with 7 m between adjacent conductors. Determine the inductance in H/m and the inductive reactance in /km 4.19 Rework Problem 4.18 if the phase spacing between adjacent conductors is (a) increased by 10% to 7.7 m or (b) decreased by 10% to 6.3 m. Com- pare the results with those of Problem 4.18 4.20 Calculate the inductive reactance in /km of a bundled 500-kV, 60-Hz, three-phase completely transposed overhead line having three ACSR 1113 kcmil conductors per bundle, with 0.5 m between conductors in the bundle. The horizontal phase spacings between bundle centers are 10, 10, and 20 m 4.21 Rework Problem 4.20 if the bundled line has (a) three ACSR, 1351 kcmil conductors per phase or (b) three ACSR, 900 kcmil conductors per phase, without changing the bundle spacing or the phase spacings between bun- dle centers. Compare the results with those of Problem 4.20 4.22 The conductor configuration of a bundled single-phase overhead trans- mission line is shown in Figure 4.31. Line X has its three conductors situated at the corners of an equilateral triangle with 10 cm spacing. Line Y has its three conductors arranged in a horizontal configuration with 10 cm spacing. All conductors are identical, solid-cylindrical conductors each with a radius of 2 cm. Find the equivalent representation in terms Calculate the capacitance-to-neutral in F/m and the admittance-to-neutral in S/km for the line in Problem 4.20. Also calculate the total reactive power in Mvaf/km supplied by the line capacitance when it is operated at 500 kV. Neglect the effect of the earth plane. 4.41 TABLE A.4 Characteristics of aluminum cable, steel, reinforced (Aluminum Company of America)-ACSR (hs per conductor per Resistance (Ohes per Conductor per Mle) Aunum Sowe Geonen Approx Coppe tquvalent CeculaUmre (poundsRadsCan Weght Men Cumen 25C 77) Sma Cuents soc (127F) Cuene Appro 75% Capac spacing ll curens) Outsde Coan Sand Sand nches Code Wart Ao lpound e nches (amps) de AWG do 00450 0482 0 337 880 01819 61 700 2515000 o0843 0342 0 348 167000 56 000 781 000 01157 735 49800 60300 o077 050 oO511 00505 oo5s8 017 060 01456 b 2 602 0534 0355 o0802 15 o084 1 000 os00 005 0 064 00656 00675 00684 o0587 1o0s8 O818 00819loD21 0022 006000s0 00710 00/20 oous2 00653 o 06008560 o71 0029 0o 00760 o0891 00892 lo 0634 006s 0ors007m oo792 00B03 oo/34 0or3s oor30073| o 0 00819 00840 00851 o030084 oo 008 o 0es2 00872 0ce4 00906 1590 000 0359 0 362 0365 0369 0372 03 0814 o0821 O830 Fon 01716 01030 545 1000000 10777 t023 1380 aco000 as0000 s00000 P50000 431 000 54 351 00054 54 Po 01628 o0977 so4004 300 250 200 160 00479 045 040 Mane a1582 0153% 0148 424 382 338 47600 44800 43100 9160 8621 s082 o 0847 Pheaan 272000 Gracke 12500 54 o092 15 00857 o0839 000 lo 0842 00844 00924009s ooso0ses o0903 00905 0 00909 0 o4 01005 01025 01035 o099000lo0s0082 01078 0 1088 01118 012 0104 0104 o 104 0104 010 010 010 0117 0118 13000 54 1033 500 54 540004 s00 000 o086 0 380 0 385 0390 0393 01430 293 00000 e50000 s00000 40200 3100 24200 32300- 31 400 s00000 28500 7544 701 6479 4112 5340 5399 o0435 00420 00403 10 nch Cew 01386 01379 01291 01273 0 1214 01384 246 1060 1010 Cand Canary Ce Condo 01329 0129 01273 01214 196 162 01145 0115s 01175 0118 08s 566 000 550000 70 54 a500 54 0108 011 011801218 027 0119 1146 003 50 n0137 1093 0036 0118 0 401 795 000 012 01288 01288 0288 |01288 01288 01288 0128 0128 01442 01452 01472 01442 0 1442 01442 01442 0 1442 01442 01442 01442 01541 01571 7500026 5770 6517 0375 0039 0117 0117 0117 0399 o0912 De Mald Cow 01749 01628 0115 01360 0 0977 0115 L108) s00000 s00000 450000 450000 31200 38400 26300 28100 900 0117 0117 017 0117 140 910 0 393 0407 0405 o0904 o0932 o0928 o0920 75 000 30 5 s00 715 s00 15 5004 830 489 0034 0 0355 00372 00337 0131 0131 013 0131 0140 0141 013 0131 0131 0131 0132 013 013 014 1482 193 Sting Redwing Fmnge 01659 01290 051 081 000 40 013 01546 450000 a19000 34600 24500 039 30 01591 01601 66 60054 4527 0412 o0943 01111 0140 016180163e o16o 1688 01618 01618 o161 4390032 o0335 63600054 6360002 6360003 e05000 o0950 0946 00937 Rook Gosbe 1085 1085 01216 0 0874 01059 0927 400000 23600 25000 31 500 22500 014/ 0147 0148 0147 0148 0414 0412 040 0147 01564 0145 0105 o990 400000 00000 380 s00 4416 0147 147 0147 047 0147 01618118 0161801618 0154 015 05 015s 0147 52130035 Peacock 75C 0417 0420 9530 4109 o 0321 ue9 1715 01755 Squat Dove 0138 22400 00313 0148 016 o1 0168 o184901s9 018 101859 01463 40 30 aso000 2700 300000 9430 300000 23300 016 0168 068 0168 | o 149 1859 0 189 0185 0196 016 o 019 0216 0196 016 01 041 0430 ss6 500 30 477000 477000 0136 01355 01261 953 4588 346 00328 230 o O97 01362 0105e 670 Haw 0196 0216 01261 3933 00304 He Same as de Sare n d 9700 011st o86 0278 0 25 0435 01006 3277 0235 0451 0445 33 400 2 336400 0113 1059 01074 o721 741 680 40 4/0 14050 17040 2442 oo244 o0255 0278 1039 1032 Oole 105 2774 30 0278 0 306 70083 430 0311 Osnch 300000 24 188 700 1260 104 417 1013 oares 1250 1936 0217 0465 1074 2 5:01 powerunit-ju.com l SKT 63% 안전하지 않음 ERE RRER ERERE The resistance associated with 1113 kcmil ASCR conductors per bundle at 50°C is 0.0969 2/mile Now calculate the value of resistance for three bundled conductors in 2/km Ω mile 1.609 km 0.0969 R= 1 mile . 0.0201 Ωkm Calculate the impedance per km z R+ jX 0.0201 j0.335 0.336286.56° /km

Answer 1

Kolutim a) Length at thu tine is 300km The Freguency aftte line is 6o Hz The Cupe moot of the pro duct af tesnea phas equivalut distanee fs calculated at, Dey (D) (D23) (D31) = o) (Io) (20) 200 O 12.599 11 (2.6 m. t ingiveuetbact thr Creometoic mean radiu Cohesporelng to iL13 kemil ASCR ConductoY in Ds 0.0435 Ft +he Conveuy m a metu to ft is shown below im 3.28ft Meterr is writen the reometric mean radiu in ar i D(0.0435) 3-2en -0.01326 2 - 0.0133m

Todiu bor fn ductor fr burd le is Calculated a, Gneo metne mean The +hree Condu ctor DSL (Ds xd kd)3 (0.0133 kos xo-s3 hu thductahce at +ee 13 kcmil ASCR Conducto i calcuulated ar L 2X (0-Qn Dea Dse 二2x 10- 12.G H/m m) ees7 X1OH/em) t - 03 0.857X10 Ttu Induc tive registace fR X= juL J 2X60x 8.es7x10 -0.334s8 /km 0.335 /Km

Tee Outside radiur in metorr is witten as fo.0254 m 1 fn 0.016u2 m Tae geomehic a three Conductor buhd le mean radiu tor Capacitoy Dsc = 3xd 30.01642 x0-5 ) 016m The Capacitance is Calcalated au C 2Eo in( Der Dsc 2六 ×885x (0-12 2 .6 16 In 1-2 7uX10 F/m

Ta admittance at line por kn is Caluatdas -jx27 y G0x (12410 jv.8ol xto jy.801 x10-6 $1kM the resistance tor th ree b yndled Canductor Cnductors ir, mile 1'609 km RO 0969 3 O.6201 J/km Here tee esistante wl be decreaud tor Corn du etoy ar Compa re +ree bund ted 80 it wilt be devidod Single an ductor impe dance a pekmit 2nte alaaraet Anar

im pe dance is Casculnted cu teu 7 0.0201+j0 335 -0'336 86.G /km the charactoristic impedance 0.336 LB6.56 4.801%10 90 26 4.54 1-72 L (61 The Valusat Yl is Cal culated as .gc 6.33 (1.27y163 /e8ge) (300) O 301 88. 20 = 0.0114+ jo.30e1 bu

C)Tte Value at Coxh (Y) is Cost(V) Cos dh (0.0114+jo 38( 1.0114/0381+0986 L010 2 - 0.9281o.268 Pau The Valur at sinh(Y2) is sinb(YR) SintoOlIM+jo 301) ollu 301-o 800.30 2 0.372 /88 24' Yad tes valua at paramilu A, Dare A-D CosY) O.9 28 L0 268 teu Voulue ob Bis B Z Ssinh (YR) = (264.541-1-22y (0.322 L68-24) 90 4/66. 52 tee BValu at C is c SinhVR) 0 372188 2Y ても 264.54/-132 2 3 C 1.406x10e 96s