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!
