An unbalanced Y-load has balanced voltages of 100 V and the ach sequence. Calculate the neutral current. Take Ζ_Α = 15 Ω, Ζ_Β = 10 + 15 Ω, Ζ_C = 6 - j8 Ω.

Created: 3 weeks ago | Updated: 3 weeks ago

Updated: 3 weeks ago

The voltage source is balanced (100 V) having acb sequence.

$V_{A N} = 100 °$

$V_{C N} = 100 ∠ - 120 °$

$V_{B N} = 100 ∠ - 240 °$

$I_{a} = \frac{V_{A N}}{Z_{A}} = \frac{100 ∠ 0 °}{15} = 6.67 ∠ 0 °$

$I_{b} = \frac{V_{B N}}{Z_{B}} = \frac{100 ∠ 120 °}{10 + j 5} = 8.94 ∠ 93.44 °$

$I_{c} = \frac{V_{C N}}{Z_{C}} = \frac{100 ∠ 120 °}{6 - j 8} = 10 ∠ - 66.87 °$

Neutral Line Current,

$I_{n} = - (I_{a} + I_{b} + I_{c}) = (6.67 ∠ 0 ° + 8.94 ∠ 93.44 ° + 10 ∠ - 66.87 °)$

$= 10.06 ∠ 178.4 ° A$ Ans.

3 weeks ago

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