Page 294 - Solutions Manual to accompany Electric Machinery Fundamentals

(a) What is the line voltage of the two loads?

(b) What is the voltage drop on the transmission lines?
(c) Find the real and reactive powers supplied to each load.
(d) Find the real and reactive power losses in the transmission line.

(e) Find the real power, reactive power, and power factor supplied by the generator.
SOLUTION To solve this problem, first convert the delta-connected load 2 to an equivalent wye (by
dividing the impedance by 3), and get the per-phase equivalent circuit.
0.090  j0.16 
+

Line
2770° V + Z  1 Z  2 V ,  load
-

-
36
Z  1  . 5  . 87  
2
.
Z  67   20  
1
 2
(a) The phase voltage of the equivalent Y-loads can be found by nodal analysis.


 V 277 0 V V V
 ,load   ,load   ,load  0
0.09  j 0.16  2.5 36.87   1.67   20  

 60.6 5.443  V  ,load  277 0 V  0.4   36.87  V  ,load  0.6 20   V  ,load  0

 53.34 V  ,load  1508 60.6
5.955

V 253.2   7.3 V
 ,load
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