Repeat Problem 16-21 with the power factor increased to 0.95.
Use MATLAB to perform the calculations.
clear all
PL = 40e3;
pf = 0.95;
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 =
44.4547e+003
MagVs =
2.5339e+003
The apparent power supplied by the source is 44.4547 kVA.
The magnitude of the source voltage is 2.5339 kV.
Increasing the power factor decreases the required source power by nearly 20%.