Question 16.21: The average power delivered to the load ZL in Figure P16-21 ......
The average power delivered to the load Z_{\mathrm{L}} in Figure P16-21 is 40 kW at a lagging power factor of 0.8. The load voltage is 2.4 kV(rms) and the line has an impedance of Z_{\mathrm{W}} = 1 + j8 Ω/wire. Find the apparent power supplied by the source and magnitude of the source voltage.
Use MATLAB to perform the calculations.
Script File
clear all
PL = 40e3;
pf = 0.8;
VL = 2.4e3;
ZW = 1+8j;
% Find the complex power at the load
SL = PL/pf*(pf+j*sqrt(1-pf^2));
% Find the magnitude of the current
MagIL = abs(SL/VL);
% Find the complex power in the wires
SW = 2*MagIL^2*ZW;
% Find the total complex power
Ss = SL+SW;
% Find the apparent source power
MagSs = abs(Ss)
% Find the magnitude of the source voltage
MagVs = abs(Ss)/MagIL
MagSs =
55.0917e+003
MagVs =
2.6444e+003
The apparent power supplied by the source is 55.0917 kVA.
The magnitude of the source voltage is 2.6444 kV.