Question

Find the inductive reactance per mile of a single-phase overhead transmission line at 60Hz given the conductors to be Partridge and the spacing between centers to be 30ft .

Short answer

The inductive reactance per mile is$1.75\frac{\Omega }{mi}$.

Step-by-step solution

Write the given data by the question.

The spacing between the conductors D=30ft.

The frequency of the system f=60Hz.

The GMR at 60Hz for code word Partridge is 0.0217ft.

GMR=0.0217ft

Determine the formulas to calculate the inductive reactance per mile of single-phase overhead transmission line.

The expression to calculate the overhead transmission line inductance is given by,

$L=4\times {10}^{-7}In\left(\frac{D}{GMR}\right)$

…… (1)

The expression to calculate overhead transmission line inductive reactance is given by,

…… (2)

Determine the inductive reactance of the overhead transmission line.

Calculate the inductance of the overhead transmission line.

Substitute 30ft for D and 0.0217ft for GMR into equation (1).

Calculate the inductive reactance of the overhead transmission line.

Substituteforandforinto equation (2).

Calculate inductive reactance of the overhead transmission line in ohms per miles.

Hence inductive reactance per mile is.