Question 16.27: A 60-Hz voltage source feeds a two-wire line with ZW = 0.6 +......
A 60-Hz voltage source feeds a two-wire line with Z_W = 0.6 + j3.4 Ω per wire. The load at the receiving end of the line draws an apparent power of 5 kVA at a leading power factor 0.8. The voltage across the load is 500 V(rms). Find the apparent power produced by the source and the rms value of the source voltage.
Use MATLAB to perform the calculations.
Script File
clear all
ZW = 0.6+3.4j;
MagSL = 5e3;
pf = 0.8;
MagVL = 500;
% Find the complex power at the load
SL = MagSL*(pf-j*sqrt(1-pf^2));
% Find the magnitude of the current
MagIL = MagSL/MagVL;
% Find the total complex power
Ss = SL + 2*MagIL^2*ZW;
% Find the apparent source power
MagSs = abs(Ss)
% Find the rms value of the source voltage
MagVs = MagSs/MagIL
MagSs =
4.7283e+003
MagVs =
472.8298e+000
The apparent power produced by the source is 4.7283 kVA.
The rms value of the source voltage is 472.83 V.