Calculation of R,L,C, Zs of 3 phase transmission lines

Ysueudd

[Jatoth]

Calculation of R,L,C, Zs of 3 phase transmission lines

[Ayush]

Could you explain what do you want to achieve?

Answer 1

[Hassaan]

Below is a basic guide on how you might structure this calculation:

% Three-Phase Transmission Line Parameters Calculation

% Define the physical and electrical parameters
length_km = 100; % Length of the line in kilometers
f = 60; % Frequency in Hz
r = 0.01; % Radius of the conductor in meters
D = 1; % Distance between conductors in meters
rho = 1.68e-8; % Resistivity of the conductor material (Ohm-meter for copper)
mu0 = 4*pi*1e-7; % Permeability of free space
epsilon = 8.854e-12; % Permittivity of free space

% Calculating Resistance (R)
R = rho * (length_km * 1000) / (pi * r^2);

% Calculating Inductance (L)
L = (mu0 * length_km * 1000) / (2 * pi) * log(D/r);

% Calculating Capacitance (C)
C = (2 * pi * epsilon * length_km * 1000) / log(D/r);

% Calculating Series Impedance (Zs)
% Inductive Reactance (Xl)
Xl = 2 * pi * f * L;
% Series Impedance (Zs)
Zs = R + 1i*Xl; % Using '1i' to represent the imaginary unit in MATLAB

% Display the results
disp(['Transmission Line Parameters for a length of ', num2str(length_km), ' km:']);

Transmission Line Parameters for a length of 100 km:

disp(['Resistance (R) = ', num2str(R), ' Ohms']);

Resistance (R) = 5.3476 Ohms

disp(['Inductance (L) = ', num2str(L), ' Henrys']);

Inductance (L) = 0.092103 Henrys

disp(['Capacitance (C) = ', num2str(C), ' Farads']);

Capacitance (C) = 1.208e-06 Farads

disp(['Series Impedance (Zs) = ', num2str(Zs), ' Ohms']);

Series Impedance (Zs) = 5.34761+34.7222i Ohms

Note:

This script is for educational purposes and assumes a simplified model of the transmission line.

In real-world scenarios, other factors such as conductor bundling, earth effects, and line configuration

may significantly affect the actual values.

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Answer 2

[Muhidini]

3-phase short transmission line delivers 400kW at 11kV at 0.8 power factor lagging, the resistance and reactance of each conductor are 1.5 2 and 4.0 2 per phase respectively. Write a MATLAB program to determine the line performance, (efficiency and transmission losses)

NB: Use fprintf to display results

Efficiency = ((Psending - Ploss Psending)/Psending)x100%

Answer 3

[Muhidini]

3-phase short transmission line delivers 400kW at 11kV at 0.8 power factor lagging, the resistance and reactance of each conductor are 1.5 Ohm and 4.0 Ohm per phase respectively. Write a MATLAB program to determine the line performance, (efficiency and transmission losses) NB: Use fprintf to display results Efficiency = ((Psending - Ploss Psending)/Psending)x100%