Transmission Line Parameter Calculation

Transmission line length formula:

$Length=\frac{\sqrt{XB}}{2\Pi&space;f&space;}\times$ the velocity of light in km/s

Now suppose  a transmission line parameter data is as follows

R= 0.010 pu, X= 0.085 pu, B=0.176 pu.

The base value of power and voltage is given as

Then the length is

$Length=\frac{\sqrt{0.085\times0.176}}{2\times3.1416&space;\times&space;60}&space;\times(3\times&space;10^5&space;km/s)$

Length = 97.33 km

Now we will calculate the resistance value:

$\mathbf{R_{actual}=&space;R_{base}\times&space;R_{pu}}$

$R_{base}=&space;X_{base}=&space;\frac{V_{b}^{2}}{S_{b}}&space;=&space;\frac{(230\times&space;10^3)^{2}}{100\times&space;10^6}&space;=&space;529$

$R_{actual}=&space;529\times&space;0.01&space;=&space;5.29&space;\Omega$

$R_{\Omega&space;/km}&space;=&space;R_{actual}/Line&space;Length&space;=&space;5.29/97.33=&space;0.0543&space;\Omega&space;/km$

$Zero&space;Sequence&space;Resistance&space;R_{0}=&space;0.0543&space;\times&space;3&space;=&space;0.0163&space;\Omega&space;/&space;km$

Inductance Value Calculation:

X= 0.085 pu

$X_{base}=&space;R_{base}&space;=&space;529$

$X_{actual}=&space;529\times&space;0.085&space;=&space;44.965$

So L actual is 0.1192 Henry

Want to get the value in per kilometer, so we will divide this value by the total length of the transmission  line(97.33 km)

Zero sequence Inductance will be

Capacitor Value Calculation:

In order to find the value of capacitance, first, we have to calculate the value of susceptance which is the reciprocal of