Question

Calculate the inductive reactance in $\frac{\mathbf{\Omega }}{\mathbf{km}}$of a bundled, three-phase completely transposed overhead line having three ACSRconductors per bundle, withbetween conductors in the bundle. The horizontal phase spacings between bundle centers areand.

Short answer

The inductive reactance of completely transposed overhead line is respectively.

Step-by-step solution

 Step 1: Write the given data from the question.

The voltage of the line.

The frequency of the system.

The bundle spacing.

The horizontal spacing between the conductor areand.

.

Refer to table A4, the geometric mean radius of the overhead conductor for ,

$$\begin{gathered} D_1=0.0435ft \\ {D}_2=0.0435\times 0.305m \\ {D}_3=0.0132m \end{gathered}$$

Determine the equation to calculate the inductance and inductive reactance.

he equation to calculate the geometric mean distance of completely transposed overhead line is given as follows.

…… (1)

Here,is the distance between conductorand,is the distance between conductorand, is distance betweenand.

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The equation to calculate the bundle geometric mean radius of completely transposed overhead line is given as follows.

…… (2)

The equation to calculate the inductance transposed overhead line inductance is given as follows.

…… (3)

The equation to calculate inductive reactance of transposed overhead line is given as follows,

…… (4)

Conversion from foot to metres.

Calculate the inductive reactance of the transposed overhead line.

Calculate the geometric mean distance.

Substitutefor,forandforinto equation (1).

Calculate the bundle GMR.

Substituteforandforinto equation (2).

Calculate the inductance of the transposed overhead conductors.

Substitutefor,forinto equation (3).

Calculate the inductive reactance of the transposed overhead conductors.

Substituteforandforinto equation (4).

Hence the inductive reactance of completely transposed overhead line isrespectively.