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3PhasePhasorDiagram

# 3PhasePhasorDiagram - Setting up 3-Phase Phasor diagram and...

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k 0 1 .. := E CA E an e j θ E cn e j θ := E BC E bn e j θ E cn e j θ := E AB E bn e j θ E an e j θ := E CN 10 3 volt E cn e j θ := E BN 10 3 volt E bn e j θ := E AN 10 3 volt E an e j θ := θ 0 deg 5 deg FRAME + := arg E LL ( ) 30 90 150 deg = E LL E ab E bc E ca := arg E ph ( ) 0 120 120 deg = E ph E an E bn E cn := 1 2 1 2 + 2 1 1 cos 120 deg ( ) 3 = Law of Cosines applied to calculate line to line voltages: http://hyperphysics.phy-astr.gsu.edu/hbase/lcos.html Law of Cosines: The Line-Line Voltages in 3-Phase Systems are 3 larger than the line to Neutral Voltages Confirms Eq. 2.5.6., Page 59, Glover, Sarma, Overbye, 4 th ed. arg E ab ( ) 30 deg = E ab 207.85 V = E ca E cn E an := E bc E bn E cn := E ab E an E bn := E cn 120 volt e j 120 deg := E bn 120 volt e j 120 deg := E an 120 volt e j 0 deg := Dr. M. Giesselmann, Jan 18, 2008 Setting up 3-Phase Phasor diagram and demonstrating Animations:

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