The total series impedance of a 350 km long transmission line is 14 + j105 ohms. The total shunt admittance for the said transmission line is 600x10-6 S. At the end of the line, 35 MW power is drawn with a power factor of 0.85 (end) under 154kV voltage. Find the line head voltage with long transmission line equations? (hyperbp equations) (do not use Taylor Series)

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The total series impedance of a 350 km long transmission line is 14 + j105 ohms. The total shunt admittance for the said transmission line is 600x10-6 S. At the end of the line, 35 MW power is drawn with a power factor of 0.85 (end) under 154kV voltage. Find the line head voltage with long transmission line equations? (hyperbp equations) (do not use Taylor Series)

a) O U1 = 277068, 867251Z4,71940591°V
Il = 127, 99646645,922101°A
b) O U1 = 375714, 153734/4, 282776°V
Il = 182, 744431257, 598901° A
C)O U1 = 168413, 18254747,618493°V
I1 = 129, 883075Z - 11, 294496° A
d) O U1 = 380955, 776111Z2, 423008°V
Il = 131, 134514/47,932644° A
e) O U1 = 168388, 49435747, 621752°V
I1 = 129, 86189Z-11, 288615° A
f) O U1 = 225438, 105960/6, 493102°V
Il = 120, 564165/35, 309526°A
U1 = 380001, 500850/0, 004906°V
I1 = 132, 510427/46, 535888 A
U1 154037, 498076/0, 023952°V
134, 152238Z
8)
h)
I1 =
12, 032346° A
U1 220015, 621211/0, 024136 V
I1 124,670696/32, 668253 A
1)
648679, 621144/1, 604752 V
I1 233, 354471/67, 961435 A
U1
Transcribed Image Text:a) O U1 = 277068, 867251Z4,71940591°V Il = 127, 99646645,922101°A b) O U1 = 375714, 153734/4, 282776°V Il = 182, 744431257, 598901° A C)O U1 = 168413, 18254747,618493°V I1 = 129, 883075Z - 11, 294496° A d) O U1 = 380955, 776111Z2, 423008°V Il = 131, 134514/47,932644° A e) O U1 = 168388, 49435747, 621752°V I1 = 129, 86189Z-11, 288615° A f) O U1 = 225438, 105960/6, 493102°V Il = 120, 564165/35, 309526°A U1 = 380001, 500850/0, 004906°V I1 = 132, 510427/46, 535888 A U1 154037, 498076/0, 023952°V 134, 152238Z 8) h) I1 = 12, 032346° A U1 220015, 621211/0, 024136 V I1 124,670696/32, 668253 A 1) 648679, 621144/1, 604752 V I1 233, 354471/67, 961435 A U1
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