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Negative Sequence (acb) 
??
0
an P
V V 0 
? ? ?
0
cn P
V V 120 
? ? ? ? ?
00
bn P P
V V 240 V 120 
For both phase sequence, 
 ??
an bn cn
V V V 
 
Connections 
Star Connection 
 
 
 
 
 
 
 
 
                                                                                                  
??
?
0
LP
Lp
V 3V 30
II
                             
ab
V = line to line voltage or line voltage 
0
ab an bn P
V V V 3V 30 ? ? ? ?
 
So, line voltage 
ab bc ca
V ,V ,V are 3 times the phase voltage & lead the respective phase voltage 
by 
0
30 . 
Line currents 
a b c
I ,I ,I in this connection are equal to phase currents. 
Phase current are the currents that flow in individual phases. 
 
 
 
Page 3


 
 
 
 
 
Negative Sequence (acb) 
??
0
an P
V V 0 
? ? ?
0
cn P
V V 120 
? ? ? ? ?
00
bn P P
V V 240 V 120 
For both phase sequence, 
 ??
an bn cn
V V V 
 
Connections 
Star Connection 
 
 
 
 
 
 
 
 
                                                                                                  
??
?
0
LP
Lp
V 3V 30
II
                             
ab
V = line to line voltage or line voltage 
0
ab an bn P
V V V 3V 30 ? ? ? ?
 
So, line voltage 
ab bc ca
V ,V ,V are 3 times the phase voltage & lead the respective phase voltage 
by 
0
30 . 
Line currents 
a b c
I ,I ,I in this connection are equal to phase currents. 
Phase current are the currents that flow in individual phases. 
 
 
 
 
 
 
 
 
 
Delta Connection 
 
 
 
   
                                                                                      ?
LP
VV 
                                                                                       
0
LP
I 3I 30 ? ? ? 
 
 
 
 
 
Line current is 3 times phase current & lags respective phase current by 
0
30 . 
 
 
Power in a balanced 3 ?? system 
L L P P
P 3V I cos 3V I cos ? ? ? ? 
L L P P
Q 3V I sin 3V I sin ? ? ? ? 
??
L L P P
**
S 3V I 3V I
 
For power measurement, refer to electrical measurements k-notes, two wattmeter method. 
 
 
 
 
 
 
 
 
 
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