Question
Download Solution PDFIn a three-phase balanced star connected system, which of the following will hold true? [Ø is the angle between phase volage and phase current.]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
In a three-phase balanced star-connected system,
Line current = Phase Current
IL = Ip
Phase voltage = Line voltage / √3
\(V_p={V_L\over √{3}}\)
Explanation
Consider a three-phase star-connected system as RYB.
The phasor diagram for a three-phase balanced star-connected system is shown below:
The phase voltage is:
VR = V∠0°
VY = V∠-120°
VB = V∠120°
For lagging load in star connection, (phase current = line current) lags phase voltage by ϕ°
The line voltage between R and Y is:
VRY = VR - VY
VRY = V∠0° - V∠-120°
VRY = √3V∠30°
The line voltage leads phase voltage by 30° and phase voltage leads line current by ϕ°.
Hence, line voltage leads line current by (30+ϕ°).
Last updated on Jun 16, 2025
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