Question

Two loads Z1 = 100+j0 ? and Z2=10+j20 ? are connected in parallel across a 200 V supply. 1) Write a user oriented MATLAB program that will calculate the capacitance of the capacitor connected across the loads to improve the overall power factor to 0.8 lagging,0.9 lagging, unity power factor, 0.8 leading, 0.9 leading. Also MATLAB will calculate total reactive, real power, and the total current at the source for each ste

Answer 1

Matlab Code:

clear all
clc
j=sqrt(-1);
prompt= 'enter the value of power factor, if PF is lagging enter the value in negitive : ';
requiredpf=input(prompt)
v=200; f=60;
z1=100; z2=10+20i;
z=1/((1/z1)+(1/z2));
S=conj((v^2)/z);
P=real(S);
theta1=angle(S);
theta2= acos(requiredpf);
C= (P*(tan(theta1)-(tan(theta2))))/(2*pi*f*v^2)
disp('values after capacitor placed in parallel :')
xc=1/(2*pi*60*C*j)
Znew= 1/((1/z1)+(1/z2)+(1/xc));
Itotal= v/Znew
Snew= conj(v^2/Znew);
Ptotal= real(Snew)
Rtotal=imag(Snew)

sample Matlab example for one of the power factor:

enter the value of power factor, if PF is lagging enter the value in negitive : -0.8

requiredpf =

   -0.8000

C =

   1.6579e-04

values after capacitor placed in parallel :

xc =

   0.0000 -16.0000i

Itotal =

   6.0000 + 4.5000i

Ptotal =

        1200

Rtotal =

-900.0000

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