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Start with single-channel 50HZ sine-wave generation based on the Pulse-Width-Modulation principle, ..
After that, if the PIC you have in mind is “powerfull” enough you can do it with one microcontroller (if not - with three) generate 3 sine waves ..
Then synchronize the sine waves in such a way that the first is shifted against the second by 120deg (or 6.67ms delay) and the third is shifted against the second by the same time delay ..
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