Conversion of abc unbalanced waveforms to balanced symmetrical components waveforms

I want to convert my three phase unbalanced sinusoidal waveforms to its balanced symmetrical component waveforms. I'm getting phasor(real and imaginary) of symmetrical component waveform but I want the sinusoidal waveform. How can I extract that.

Please help me regarding to this.

Thanking You

Answer 1

[Abhimenyu]

Hi Yojan,

I understand that you want to convert the three-phase unbalanced sinusoidal waveforms to their balanced symmetrical component waveforms.

To obtain the sinusoidal waveform from the phasor representation, you can use either of the below-given methods:

• Inverse Fourier Transform: Apply the inverse Fourier transform to convert the phasor representation back to the time-domain sinusoidal waveform. The inverse Fourier transform converts complex phasors into sinusoidal functions. You can use the "IFFT" block of Simulink as given by this MATLAB R2024a documentation link: https://www.mathworks.com/help/dsp/ref/ifft.html
• Trigonometric Identities: You can also use trigonometric identities to express the phasor in terms of sine and cosine functions. For example, if you have a phasor with magnitude (u_m) and phase angle (theta): [ u(t) = u_m*sin(2*pi*freq*t + theta) ] where: "u(t)" is the instantaneous voltage at time "t" and "freq" is the frequency (usually 50 Hz). Please adjust the phase angle by 120° or -120° for positive or negative sequences respectively. The resulting expression represents the sinusoidal waveform in the time domain. You can plot this waveform to visualize its behavior over time.

The phasor representation captures the frequency and phase information, while the sinusoidal waveform provides the time-domain behavior. By applying the inverse operations as mentioned above, you can reconstruct the original waveform.

I hope this helps!

[Yojan]

First of all thank you so much sir for your suggestion

Actually what is happening when I am extracting the symmetrical component then it's magnitude and phase is changing because input is in also time domain sinusoidal signal that's why this method is not working. I think first I have to convert time domain signal to its phasor form to extract symmetrical components. Am I thinking correct?

[Yojan]

@Abhimenyu sir can you please help me with this?

[AAKASH]

same query @Abhimenyu need help?

[DGM]

You're asking someone who pastes answers from an AI. They have posted nearly 90 answers, but they have never once responded to a followup question. That's expected behavior when someone uses AI to blindly answer questions to which they have no answer themselves.