Question

In a balanced three-phase Y-Y system, the source is an abc sequence of voltages and Vₐₙ = 100∠20° V rms. The line impedance per phase is 0.6 + j1.2Ω, while the per-phase impedance of the load is 10 + j14 Ω. Calculate the line currents and the load voltages.​

Answer 1

Answer:

Step-by-step explanation:

Our aim is to calculate the line currents and the load voltages.

Firstly, we need to consider that, the line voltage of Y-connected three phase generator is V_ab = 400∠0° V.

In order to calculate the phase voltage in a Y-connected system.

V_p = 400/[sqr(3)] ∠-30°            [consider sqr(x) to be the square root of x].

V_p = 231∠-30° V

The phase sequence wanted is abc, hence we need to calculate the phases voltages.

V_an = 231∠-30° V

V_bn = 231∠-150° V

V_cn = 231∠-90° V

Hence, the load voltages are V_an = 231∠-30° V, V_bn = 231∠-150° V, V_cn = 231∠-90° V.

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