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 general 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 general explicit upper bound of the output dc voltage are derived. Besides the academic interests, these bounds are very useful practically as a convenient guideline for helping quickly design the three-phase boost rectifier. Finally, some illustrative examples are given and some experimental results provided for verifying the derived bounds