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Can AC error be given to PI controller

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tvssnk

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hello to every one ... I am doing Single Phase AC-AC converter. I want to implement closed loop for my ac-ac system using PSIM software simulation so as to regulate the output voltage to a fixed output voltage.I am sensing ac output voltage and comparing it with my reference ac voltage , so i obtain ac error.
MY DOUBT IS CAN I GIVE AN AC ERROR TO PI CONTROLLER in order to make the output voltage constant.
Every thing is simulation and not in hardware.
 

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