Three phase line or phase voltage?

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SUMMARY

The discussion centers on the interpretation of voltage in a three-phase system, specifically addressing the distinction between line voltage and phase voltage in a balanced 3-phase, 400 V RYB supply. It is established that the 400 V is the line-to-line RMS voltage, not the phase voltage. The solution requires using the line voltage for calculations, adhering to the convention that three-phase supplies are described by their line voltage. Additionally, the RMS value is emphasized as the standard for AC supplies.

PREREQUISITES
  • Understanding of three-phase electrical systems
  • Knowledge of RMS (Root Mean Square) voltage calculations
  • Familiarity with complex impedance in AC circuits
  • Basic principles of star (Y) and delta (Δ) configurations
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  • Study the calculation of line and phase voltages in three-phase systems
  • Learn about the implications of neutral shift voltage in star-connected loads
  • Explore the use of complex impedance in analyzing AC circuits
  • Investigate the significance of RMS values in AC power systems
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Electrical engineering students, professionals working with three-phase systems, and anyone involved in AC circuit analysis and design.

Raghav Gupta
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Homework Statement


Three loads ZA = 10∠0° Ω; ZB = 15∠-30° Ω and ZC = 20∠45° Ω are connected in star across a balanced, 3 phase, 400 V, RYB supply. Determine (a) line currents (b) Phase Voltages (c) Neutral shift voltage, VON

Homework Equations

The Attempt at a Solution


My query is that in question I am taking 400 as rms phase voltage of supply but I saw the solution and they have done by considering that voltage as line to line rms voltage, why that is so?
Later we should also multiply voltage by√2 but are we required to keep the solution in rms only?
 
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By convention, 3 phase supplies are described by their line voltage, i.e. the voltage between any pair of phases.

By convention, AC supplies are always described by the RMS value of their sinusoidal waveform.
 
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