Question 16.28: In Figure P16-28 the load voltage is |VL| = 5 kV (rms) at 60......

The Analysis and Design of Linear Circuits [1399573]

In Figure P16-28 the load voltage is $\left|\mathbf{V}_{\mathrm{L}}\right|$ = 5 kV (rms) at 60 Hz and the load $Z_{\mathrm{L}}$ draws an average power of 10 kW at a lagging power factor of 0.725. Find the value of the parallel capacitance needed to raise the power factor of the combination to unity.

fig 16.28

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Script File

clear all
MagVL = 5e3;
PL = 10e3;
pf = 0.725;
% Find the complex power of the load
SL = PL/pf*(pf+j*sqrt(1-pf^2));
% We need the capacitor to cancel the complex power in the load
QC = -imag(SL);
% Solve for the capacitance
C = -QC/2/pi/60/MagVL^2
C =
1.0080e-006

C = 1.008 µF.

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