Question

Write a user defined MATLAB program that performs power factor correction. The inputs to the MATLAB function should be

voltage across the load (in Vrms, assume 0 phase), frequency

Resistance of the load

Inductance of the load

power factor of the load

target power factor

The output of the function should be the size of the capacitor that one would need to place in parallel with the load to reach the target power factor.

Please submit the code for the MATLAB function and include a sample command line call to the function showing reasonable inputs and correct outputs.

Provide a generic MATLAB code, an example of a circuit diagram, MAATLAB output, and a backup calculation.

Answer 1

MATLAB code:

clc;
close all;
clear all;

v = input('Enter Voltage across load:');
R = input('Enter R:');
L = input('Enter L:');
p = input('Enter Target Power Factor p:');
f = input('Enter frequency:');
w = 2*pi*f;
x = solve('(R*(1-w^2*L*x) + w^2*R*L*x)/sqrt((w*L*(1-w^2*L*x)-w*R^2*x)^2+(R*(1-w^2*L*x)+w^2*R*L*x)^2) = p');

Result:

Enter Voltage across load:6
Enter R:1e3
Enter L:0.01
Enter Target Power Factor p:0.99
Enter frequency:1e4
>> x

x =

8.7955e-009

Capacitor needed to achieve the power factor is 8.8nF