Figure 2.26 shows three loads connected in parallel across a 1 000 -V ( RMS ) , 6 0 − Hz single-phase source. Load 1: Inductive load, 125 kVA , 0. 28PF lagging. Load 2: Capacitive load, 1 0 kW , 4 0 kvar . Load 3: Resistive load, 15 kW . (a) Determine the total kW, kvar, kva, and supply power factor. (b) In order to improve the power factor to 0.8 lagging. a capacitor of negligible resistance is connected in parallel with the above loads. Find the kvar rating of that capacitor and the capacitance in μ F . Comment on the magnitude of the supply current after adding the capacitor.
Figure 2.26 shows three loads connected in parallel across a 1 000 -V ( RMS ) , 6 0 − Hz single-phase source. Load 1: Inductive load, 125 kVA , 0. 28PF lagging. Load 2: Capacitive load, 1 0 kW , 4 0 kvar . Load 3: Resistive load, 15 kW . (a) Determine the total kW, kvar, kva, and supply power factor. (b) In order to improve the power factor to 0.8 lagging. a capacitor of negligible resistance is connected in parallel with the above loads. Find the kvar rating of that capacitor and the capacitance in μ F . Comment on the magnitude of the supply current after adding the capacitor.
Figure 2.26 shows three loads connected in parallel across a
1
000
-V
(
RMS
)
,
6
0
−
Hz
single-phase source.
Load 1: Inductive load,
125 kVA
,
0.
28PF
lagging.
Load 2: Capacitive load,
1
0
kW
,
4
0
kvar
.
Load 3: Resistive load,
15
kW
.
(a) Determine the total kW, kvar, kva, and supply power factor.
(b) In order to improve the power factor to 0.8 lagging. a capacitor of negligible resistance is connected in parallel with the above loads. Find the kvar rating of that capacitor and the capacitance in
μ
F
.
Comment on the magnitude of the supply current after adding the capacitor.
Find the most economical cross-section of a 3-core distributor cable 250 m long supplying a load of 80 kW
at 400 V and 0.8pf lagging for 4000 hours per annum and open circuited for the remainder of the year. The
cost of the cable including installation is (15a+25) per meter, where a 'is area of each conductor in cm².
The interest and depreciation total 10 per cent and cost of energy wasted is 10% per unit. The resistance per
km of conductor of 1 cm² cross-section is 0.173ohms.
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