Hamz28
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I have already made the control stage and now I am making the power stage which is the cycloconverter and well when I presented the simulation I was told that it differs greatly from what I developed in Mathcad. I used the method of THE COSINE WAVE CROSSING PULSE TIMING METHOD. the question would be if the circuit diagram is right, in any case I do not know how to connect the reference voltage. or what else is missing in my circuit.This looks like you want 20 Hz sinewave to the load at the center of the schematic? Seeing the definition of cycloconverter, it creates this by chopping off pieces of 3-phase 60 Hz waveforms at the right moments for sending to the load. The final result is a single AC waveform to the load at the desired frequency. (It's not a perfect sinewave but it needs no DC conversion in the process.)
The control logic (I suppose) chooses from either of 3 phases at either positive or negative excursion. Tutorial articles describe algorithms how to combine the portions. The big hurdle must be sending gate signals to triacs or mosfets at the right moments. Is that where you're asking for help?