Question
Download Solution PDFA single phase load of 100 KVA is delivered at 2000 V over a transmission line having R = 1.4 Ω and X = 0.8 Ω, when the power factor of load is unity, the voltage at sending end is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
In a single phase transmission line
VS = VR + IL∠ϕ Z
Where,
VS = Sending end voltage
VR = Receiving end voltage
IL = Current flowing through the transmission line
Z = Impedance of line
ϕ = Phase angle
Calculation:
Given-
SL = 100 kVA
VR = 2000 V
cos ϕ = 1, ϕ = 0°
Z = R + j X = 1.4 +j 0.8
|IL|= 100 x 103 / 2000 = 50 A
IL ∠ϕ = 50 ∠0°
Now sending end voltage is
VS = 2000 + 50 ∠0° (1.4 +j 0.8)
VS = 2000 + 50(cos0° + sin0°)(1.4 +j 0.8)
VS = 2000 + 70 + j40
VS = 2070 + j40
VS = 2070.40∠1.1°
|VS| = 2070.40 V
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