Power factor Measurement for Distorted waves

In my last post 'Power Factor Measurement' I used a block to calculated the power factor in case of displaced signals. Today I would like to add some features to that block and be able to calculate the power factor with all kind of signals: with displacement and also distorsion.

Since

Power factor equation

and

Dispersion term equation

Distorsion term equation

The Power Factor Measurement block can be modified to:

The element inside the block are the following:

Inside PF Measurement Block

Where PF distorsion equation is the one named before and is implemented with the Matlab Function Block and THD block (Block that calculates the Total Harmonic Distorsion of a signal):

>>1/sqrt(1+(u(1)^2))

It is shown that converting a PF Measurement Block for displaced waves to a PF Measurement Block for distorted waves is really easy by using Simulink.

Finally, I would like to show an example of the block:

Example: PF Measurement of distorted signals

If the output is plotted:

Emaple: V vs I (Distorted waves)*

With that plot, it can be seen that the diode bridge causes an effect of distorsion of the current and the displacement has disappeared

Notes:

*Notice that current wave has been multiplied in order to be compared with voltage in the plot