Inductance of a Transmission Line The inductance per meter of a single-phase two

Question

Inductance of a Transmission Line The inductance per meter of a single-phase two-wire transmission line is given by the equation: +In where L is the inductance in henrys per meter of line, 0 4 × 10-( H/m is the permeability of free space, D is the distance between the two conductors, and r is the radius of each conductor. Write a function that calculates the total inductance of a transmission line as a function of its length in kilometers, the spacing between the two conductors, and the diameter of each conductor. Use this function to cal- culate the inductance of a 100 km transmission line with conductors of radius r - 2 cm and distance D 1.5 m

Explanation / Answer

Matlab function Inductance.m

function L = Inductance(D,r)
% The function Inductance compute the inductance of a Transmission line
% INPUTS
%    D:   Distance between two conductors in meter
%    r:   radius of each conductor in meter
% OUTPUT
%    L:   inductance of a Transmission line
Mu = 4*pi*10^-7; % Value of permeability of free space
L = (Mu/pi)*(1/4+log(D/r)); % Computing the inductance
end

Calling the function to compute the Inductance

clc; clear; % Clearing workspace and command window
Length = 100; % Length of transmission line in Km
Leng = Length*1000; % Converting the
D = 1.5; % D in meters
r = 2*0.01; % r in meters
L = Inductance(D,r); % Calculating the inductance per meter
% Printing the result to the screen
fprintf('The Inductance of a %d Km Transmission Line = %f H/m ',Length,L*Leng);

OUTPUT

The Inductance of a 100 Km Transmission Line = 0.182700 H/m

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