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3-Phase Balanced Circuits
3-Phase Delta
3-Phase WYE
I P
A
I L
I L
E L-L
C
Z
Z
Z
B
I L
I L
E L-L
E L-L
E L-L
A
Z
Z
B
I L
E L-N
E L-N
E L-L
E L-L
Z
E L-N
P=1.73 E L-L I L cos 0 = 3(E L-L )
Z=
I P =
I L = E L-N =
2
Z
1.73 E L-L
I L
I L
1.73
? The current in each element is equal to the line current I L divided by 3.
? The voltage across each element is equal to the line voltage E L-L .
? The impedance of each element is equal to 3 times the voltage across
each element divided by the line current.
? The voltage across the elements are 120 ° out of phase.
? The currents in the elements are 120 ° out of phase.
? The power is equal to 3 times voltage across each element times the
current I L times COS O.
P = power in watts
O = phase angle in degrees
I L
C
P = 3 E L-N I L cos 0 = 1.73 E L-L I L cos 0
E L-L
Z 1.73 Z
Z = E L-L
E L-N = E L-L 1.73 I P
1.73
? The current in each element is equal to the line current I .
? The voltage across each element E L-N is equal to the line voltage E L-L divided
by 3
? The impedance of each element is equal to line voltage E L-L divided by 3
times the line current.
? The voltages across the elements are 120 ° out of phase.
? The currents in the elements are 120 ° out of phase.
? The power is equal to 3 times line voltage E L-N times line current
times COS O.
? For a balanced load the current in the neutral is equal
to zero.
3-Phase Open Leg Circuits
3-Phase Delta
3-Phase WYE (No neutral)
A
I A
I L
I A-C
Z
E L-L
E L-L
E L = E L-L
C
Z
I C-B
B
I B
I C
E L-L
E L-L
A
2
Z
Z
B
I L
E L-L
E L-L
P= 2(E L-L )
2
Z
E L-L
I A-C = I C-B = I A = I B =
Z
I C = 1.73 I A = 1.73 I B
? The current in each non-open element is equal.
? The current in the connecting leg of the non-open elements is 3 times the
C
P= E L-L I L COS 0
E L-L
I L = 2 Z
I L = 0
current in any other leg.
38
? The current in each non-open element is equal to the line current.
? The voltage across each non-open element is equal to the line voltage
divided by 2.
? The power is equal to the line voltage times the line current
times COS O.
transducer03a
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