The infinite bus in Figure-2 shown below operates at 480V. Load 1 is an induction motor consuming U kW at 0.78 PF lagging, load 2 is an induction motor consuming V kW at 0.8 PF lagging, Load 3 is a synchronous motor whose real power consumption is W kW and Load 4 is a synchronous motor whose real power consumption is X kW. a) If the both synchronous motors are adjusted to operate at 0.85 PF lagging, Compute the transmission line current in this system? b) If the first synchronous motor (150 kW) is adjusted to operate at 0.85 PF leading and other operate at 0.85 Lagging PF Compute the transmission line current in this system? c) If both synchronous motors are adjusted to operate at 0.85 PF leading Compute the transmission line current in this system?

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The infinite bus in Figure-2 shown below operates at 480V. Load 1 is an induction motor
consuming U kW at 0.78 PF lagging, load 2 is an induction motor consuming V kW at
0.8 PF lagging, Load 3 is a synchronous motor whose real power consumption is W kW
and Load 4 is a synchronous motor whose real power consumption is X kW.
a) If the both synchronous motors are adjusted to operate at 0.85 PF lagging,
Compute the transmission line current in this system?
b) If the first synchronous motor (150 kW) is adjusted to operate at 0.85 PF leading
and other operate at 0.85 Lagging PF Compute the transmission line current in
this system?
c) If both synchronous motors are adjusted to operate at 0.85 PF leading Compute
the transmission line current in this system?
d) Assume that the transmission line losses are given by line loss
P = 31R.
where LL stands for line losses. Compare the transmission losses in the three
cases?
U = 70 + Last two Digits of your SAP ID
V = 150 + Last two Digits of your SAP ID
Page 5 of 8
L
W = 100 + Last two Digits of your SAP ID
X = 20 + Last two Digits of your SAP ID
Ukw
0.78 PF
Ind.
motor
lagging
P
VkW
0.8 PF
Ind.
Infinite bus
Transmission line
motor
lagging
Synchr. Wkw
motor
PF = ?
Plant
P4
Synchr.
XkW
PF-?
motor
Q4
Transcribed Image Text:The infinite bus in Figure-2 shown below operates at 480V. Load 1 is an induction motor consuming U kW at 0.78 PF lagging, load 2 is an induction motor consuming V kW at 0.8 PF lagging, Load 3 is a synchronous motor whose real power consumption is W kW and Load 4 is a synchronous motor whose real power consumption is X kW. a) If the both synchronous motors are adjusted to operate at 0.85 PF lagging, Compute the transmission line current in this system? b) If the first synchronous motor (150 kW) is adjusted to operate at 0.85 PF leading and other operate at 0.85 Lagging PF Compute the transmission line current in this system? c) If both synchronous motors are adjusted to operate at 0.85 PF leading Compute the transmission line current in this system? d) Assume that the transmission line losses are given by line loss P = 31R. where LL stands for line losses. Compare the transmission losses in the three cases? U = 70 + Last two Digits of your SAP ID V = 150 + Last two Digits of your SAP ID Page 5 of 8 L W = 100 + Last two Digits of your SAP ID X = 20 + Last two Digits of your SAP ID Ukw 0.78 PF Ind. motor lagging P VkW 0.8 PF Ind. Infinite bus Transmission line motor lagging Synchr. Wkw motor PF = ? Plant P4 Synchr. XkW PF-? motor Q4
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