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A three-phase 132 kV, 50 Hz transmission line 180 km long consists of three conductors each of diameter 1.2 cm and spaced 2.7 m apart in an equilateral triangle formation. The temperature and atmospheric pressure are 30°C and 750 mm of mercury respectively. If the breakdown strength of air is 30 kV/cm (peak) and the irregularity factor is 0.84. Determine the critical disruptive voltage and total corona power loss.

Physics

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: Corona Discharge Calculation

a)

(i) Critical disruptive voltage:

Step 1: Calculate the air density correction factor (δ\delta).
Given temperature T=30 ∘CT = 30 \, ^\circ\text{C} and pressure P=750 mm of HgP = 750 \, \text{mm of Hg}. We use 25 ∘C25 \, ^\circ\text{C} and 760 mm of Hg760 \, \text{mm of Hg} as standard conditions for g0g_0.

δ=P760×273+25273+T\delta = \frac{P}{760} \times \frac{273 + 25}{273 + T}
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