Three parallel three-phase loads are supplied from a 480v (line-line rms), 60 hz three-phase supply. the loads are as follows: load 1: a 20hp motor operating at full load, 90% efficiency and a 0.8 lagging power factor. load 2: a balanced resistive load that draws a total of 20kw. load 3: a y-connected capacitor bank with a total rating of 20kvar. what is the total system kw ?

The total system active power P = P_1 + P_2 + P_3 = 34.91 KW

Explanation:

Load 1: Active power P_1 = 20 HP = 14.91kW;

Reactive power

Load 2: Active power P_2 = 20 kW;

Reactive power Q2 = 0 since the load is purely resistive.

Load 3: Active power = 0 due to purely capacitiveload

           Reactive power = -20 Var

a) since all three loads are connected in parallel therefore

    The total system active power P = P_1 + P_2 + P_3 = 34.91 KW

Total system reactive power Q = Q_1 + Q_2 + Q_3 = 11.18 + 0 -20 = -8.82 kVar

Since Q = 0, the power factor is unity.

Supply current per phase is given by

explanation:

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