Why Does Amplitude Not Matter in Positive Sequence Detector Circuits?

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SUMMARY

The discussion centers on the significance of amplitude in positive sequence detector circuits, specifically referencing the dual method for extracting fundamental positive-sequence voltage as described in "Instantaneous Power Theory and Applications to Power Conditioning." The author clarifies that the amplitudes of auxiliary currents i'alpha and i'beta are arbitrary and do not affect the outcome. Simulations conducted in Simulink confirm that the circuit operates correctly regardless of these amplitudes, indicating that they cancel out in the mathematical processing within the circuit.

PREREQUISITES
  • Understanding of positive sequence detection in electrical engineering
  • Familiarity with Phase-Locked Loop (PLL) circuits
  • Knowledge of Simulink for circuit simulation
  • Basic principles of instantaneous power theory
NEXT STEPS
  • Explore the dual method for extracting positive-sequence voltage in detail
  • Investigate the role of Phase-Locked Loop (PLL) circuits in signal processing
  • Learn advanced Simulink techniques for simulating electrical circuits
  • Study the mathematical foundations of instantaneous power theory
USEFUL FOR

Electrical engineers, students studying power systems, and professionals working with signal processing and circuit simulation will benefit from this discussion.

OliskaP
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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

psd.JPG

Source: Instantaneous Power Theory and Applications to Power Conditioning
 
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