Output voltage bounds of a three-phase boost rectifier

A general closed-form duty cycle control law is derived based on the linear combination of two sets of continuous duty cycle control laws. From this g eneral solution one can generate infinitely many pulsewidth modulation (PWM ) control strategies to achieve the same ideal performance. Then, from the resulting closed-form solution, a general explicit lower bound and a genera l explicit upper bound of the output de voltage are derived. Besides the ac ademic interests, these bounds are very useful practically as a convenient guideline for helping quickly design the three-phase boost rectifier. Final ly, some illustrative examples are given and some experimental results prov ided for verifying the derived bounds.