A balanced 3-Phase load consists of 3 coils, each of resistance 4Ω and inductance 0.02H. It is connected to a 440V, 50Hz, 3ø supply. Find the total power consumed when the load is connected in star and the total reactive power when load is connected in delta. -

Mumbai University > FE > Sem 1 > Basic Electrical and Electronics Engineering

Marks: 8 M

Year: Dec 2014

$R_{ph}=4\Omega, \\ L_{pk}=0.02H, \\ X_{Lpk}=2 \pi fL_{pk}=6.2832 \Omega, \\ V_L=440V$

For star connection

$e_{pk}=254.034 V \\ Z_{pk}=4+j6.2832 \\ =7.4484\angle57.519^0 \Omega \\ I_L=I_{pk}=\dfrac{e_{pk}}{Z_{pk}}=34.1058\angle-57.519^0A \\ P_{ACTIVE}=\sqrt3V_LI_L \cos \emptyset_{pk} \\ =13.958kw$

For Delta connection

$V_{pk}=V_L=440V \\ Z_{pk}=7.4484\angle57.519^0 \Omega \\ I_{pk}=\dfrac{\bar{V}_{pk}}{\bar{Z}_{pk}}=59.0731\angle-57.519^0A \\ P_{REACTIVE}=3V_{pk}I_{pk} \sin\emptyset_{pk} \\ =65.779KVAR$