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A 60 Hz transmission line has average parameters of: Conductor self-inductance L

ID: 2081102 • Letter: A

Question

A 60 Hz transmission line has average parameters of: Conductor self-inductance L = 13.6 times 10^7 H/m Average mutual inductance M = 4.6 times 10^-7 H/m Conductor resistance R = 1.2 times 10^-6 ohm/m (a) What is the series reactance of the line if it is 100 km long? (b) What is the total series impedance of this line? A system is to be normalized to a base condition of V_L, Base = 138 kV (L-L) and S_36, Base = 100 MVA. (a) What is the base current? (b) What is the base impedance? What is the per-unit series impedance of the transmission line of Question 1 on the basic of Question 2?

Explanation / Answer

a)base current is 0.4183amps using formula Abase=MVA/1.732* Kv line to line*1000. b)base impedance is 190.44ohms by using formula Zbase = (Kv line to line)2/MvA.

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