Page 368 - Basic Electrical Engineering
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= 10.2 × 0.92 − j10.2 × 0.37 + 2.47 × 0.14 + j2.47 × 0.99
= 9.72 − j1.33
= 9.8∠ − 7.8°
Total Current, I = 9.8 A
The voltage V is making an angle of +30° with the reference axis as shown
in Fig. 3.56. Current I is making 82° with the reference axis; current I is
2
1
making −22.2° with the reference axis. The resultant of I and I is I. Current,
1
2
I is making an angle of −7.8° with the reference axis. The phase difference
between V and I is 37.8° as has been shown in Fig. 3.47.
Figure 3.56
Therefore, power factor, cos ϕ = cos 37.8° = 0.79 lagging
Power, P = VI cos ϕ
= 200 × 9.8 × 0.79
=1548.4 W = 1.5484 kW
Reactive Power = VI sin ϕ
= 200 × 9.8 × sin 37.8°
= 200 × 9.8 × 0.61
