Why Does Amplitude Not Matter in Positive Sequence Detector Circuits?

[OliskaP]

Hi,

I am studying a positive sequence detector and have some trouble understanding it. I understand most of it, but the author in the book "Instantaneous Power Theory and Applications to Power Conditioning" writes:
For extracting the fundamental positive-sequence voltage with the dual method shown in Fig. 4-27, the amplitude of the auxiliary currents i'alpha and i'beta are not important, and can be chosen arbitrarily.

I don't understand why the amplitude of the currents from the PLL circuit does not matter. I have simulated this in Simulink and verified that the circuit works. Does the amplitude cancel each other out behind all the math in some of the blocks?

Best regards

Source: Instantaneous Power Theory and Applications to Power Conditioning

 

[OliskaP]

Bump.