This paper proposes a rectifier compatible with both single-phase (1-ph) and three-phase (3-ph) systems for EV charging. It achieves mode switching between 1-ph and 3-ph on a 3-ph Vienna rectifier circuit. Without adding extra active or passive components, all three branches are fully utilized, providing the same output power and current stress in 1-ph mode as in 3-ph mode. Meanwhile, the optimized modulation method reduces current ripple during 1-ph mode. Additionally, the proposed adaptive method for Proportional Resonant (PR) controller parameters based on fuzzy control optimizes the stability and response performance of current control.