spwm inverter mathematical analysis required

[--BawA--]

how to get sine wave from spwm signal mathematically ,? i mean , i want to get sine wave after applying low pass filter in spwm signal ,,i want mathematical prof,,, i have already simulated it on proteus,,,,
my fundamental signal is sine wave with frequency Fm and carier wave is triangular with frequency Fc,,, please tell me necessary mathematical steps like fourier analysis etc to get sine wave in output??

 

[--BawA--]

plz reply anyone

 

[BradtheRad]

To turn the pulses of varying width into a sine wave, you'll add a smoothing capacitor. I do not know if that relates to fourier.

The smoothing capacitor is chosen to maintain volt level through idle gaps between incoming pulses. Its value can be calculated based on frequency and neighboring resistances.