Question

3 Phase star connected load consumes 'P' watts of power from a 400V supply if the same load is connected in delta across the same supply what is the power consumption

Answer 1

A 3 – φ delta connected symmetrical load consumes P Watts of power from a balanced supply. ... The condition of a 3 - phase balanced are that each phase has the same value of impedance, resistance and power factor.

Answer 2

The power consumption is 5544 watts.

Given: Phase star-connected load consumes 'P' watts of power from a 400V supply if the same load is connected in delta across the same supply

To Find: power consumption

Solution:

These are Vph1, Vph2, and Vph3.

As far as phase number 1 is concerned, its current is I1 and the associated line voltage is VL1. VL1 and Vph1 differ in phase by 30°.

A current differing in phase with respect to line voltage by 66.86º and associated with Vph1 can only be lagging.  

This means φ = 36.86º, and the corresponding load power factor is 0.80 lagging.  

Z = Vph/Iph = 231/10 = 23.1 ohms  

Total active power consumed = 3 Vph Iph cosφ   = 3 × 231 × 10 × 0.8 × 10–3 kW = 5.544 kW  

or total active power = 3 × I2R = 3 × 102 × 18.48 = 5544 watts  

Therefore,The power consumption is 5544 watts.

#SPJ3.