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EEE471HW3sol

# EEE471HW3sol - EEE471/591 GSO 4 Ed Chapter 4 Homework th...

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EEE471/591 GSO 4 th Ed. Chapter 4 Homework Problem 4.5 60 Hz 765kV Transmission line, 1113 KCM, 4 bundle Find positive sequence resistance in ohms per km. r 50 = 0.0969 Ώ/mile/cond. km r / 015 . ) 609 . 1 )( 4 ( 0969 . 1 = = Problem 4.10 60 Hz, 3-phase, solid conductor, equilateral spacing transmission line. D = 4 ft. d = 0.5 in. Find L 1 in Henries per meter and x 1 in ohms per km. m H x x L / 10 1 . 1 ) 7788 (. 24 5 . 4 ln 10 2 6 7 1 - - = km x x / 415 . ) 1000 )( 10 1 . 1 )( 377 ( 6 1 = = - Problem 4.18 230kV, 60Hz, 3-phase, completely transposed, 954 KCM, 1 conductor per phase, flat spacing of 8 meters Find L 1 and x 1. D eq = (1.26)(8) = 10.1 m = 31.0 ft. gmr = .0403 ft. m H x x L / 10 33 . 1 0403 . 0 . 31 ln 10 2 6 7 1 - - = = . / 502 . 0 ) 10 32 . 1 )( 1000 )( 377 ( 6 1 km x x = = - Problem 4.20 500kV, 60 Hz, 3-phase, transposed, 3-1113 KCM conductors per phase, d = 0.5m, flat spacing of 10m, gmr = .0435 ft. km Log x / 335 . 28 . 3 0435 . ) 5 (. ) 26 . 1 ( 10 609 . 1 2794 . 3 1 2 1 = = a b a b

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Problem 4.34 60Hz, 3-phase,equilateral spacing of 4 ft., solid conductor, d = 0.5 in Find: Capacitance and shunt admittance. m Farads x z C / 10 58 . 10 24 5 . 4 ln ) 10 854 . 8 ( 2 12 12 - - = = π y = -jωC = j(377)(10.58x10 -12 (1000) = 3.99x10 -6 Siemens/km. Problem 4.39 230kV, 60 Hz, 3-phase, transposed transmission line
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