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3 level PWM Generation for Half Bridge Inverter

Dear Experts,

I have generated single phase sinewave using Lookup Table. But there is distortion on waveform. I have read some document where they have stated that there is method known as 3 level PWM. I have tried it but didnt got success. In case of 2 level PWM Both PWM are at 50% duty cycle near to zero crossing. How will be the PWM switching in case of 3 Level PWM switching ? Please guide me.

Thank you in advance.