A power distribution system comprising: a power conversion module for performing power conversion between a DC voltage at a DC side and an AC power at an AC side, the AC side being adapted to be electrically coupled to a grid; and a conversion control system comprising: a phase-locked-loop circuit for receiving a multi-phase reference signal of a grid voltage and for generating a synchronized phase signal, the phase-locked-loop circuit comprising: a regulator for receiving reference commands, a two-phase grid feedback signal and the synchronized phase signal and for generating a control signal for the power conversion module; characterized by: a phase detector for receiving the multi-phase reference signal and feedback phase signal, for performing a rotational transformation to convert the multiphase reference signal into a two-phase signal in a two-phase direct and quadrature reference frame, and for generating a phase error signal; and a phase regulator for receiving the phase error signal and generating a synchronized frequency signal (ω e); and an integrator for receiving the synchronized frequency signal (ω e) and generating the synchronized phase signal; and a phase-compensation circuit comprising: a fast-phase-error-detector for receiving the synchronized phase signal and the multi-phase reference signal, for generating a phase displacement signal, and for generating a phase compensation signal for compensating the synchronized phase signal from the phase-locked-loop circuit when the phase displacement signal exceeds a threshold value. a power conversion module for performing power conversion between a DC voltage at a DC side and an AC power at an AC side, the AC side being adapted to be electrically coupled to a grid; and a conversion control system comprising: a phase-locked-loop circuit for receiving a multi-phase reference signal of a grid voltage and for generating a synchronized phase signal, the phase-locked-loop circuit comprising: a regulator for receiving reference commands, a two-phase grid feedback signal and the synchronized phase signal and for generating a control signal for the power conversion module; a phase-locked-loop circuit for receiving a multi-phase reference signal of a grid voltage and for generating a synchronized phase signal, the phase-locked-loop circuit comprising: a regulator for receiving reference commands, a two-phase grid feedback signal and the synchronized phase signal and for generating a control signal for the power conversion module; a regulator for receiving reference commands, a two-phase grid feedback signal and the synchronized phase signal and for generating a control signal for the power conversion module; characterized by: a phase detector for receiving the multi-phase reference signal and feedback phase signal, for performing a rotational transformation to convert the multiphase reference signal into a two-phase signal in a two-phase direct and quadrature reference frame, and for generating a phase error signal; and a phase regulator for receiving the phase error signal and generating a synchronized frequency signal (ω e); and an integrator for receiving the synchronized frequency signal (ω e) and generating the synchronized phase signal; and a phase detector for receiving the multi-phase reference signal and feedback phase signal, for performing a rotational transformation to convert the multiphase reference signal into a two-phase signal in a two-phase direct and quadrature reference frame, and for generating a phase error signal; and a phase regulator for receiving the phase error signal and generating a synchronized frequency signal (ω e); and an integrator for receiving the synchronized frequency signal (ω e) and generating the synchronized phase signal; and a phase-compensation circuit comprising: a fast-phase-error-detector for receiving the synchronized phase signal and the multi-phase reference signal, for generating a phase displacement signal, and for generating a phase compensation signal for compensating the synchronized phase signal from the phase-locked-loop circuit when the phase displacement signal exceeds a threshold value. a fast-phase-error-detector for receiving the synchronized phase signal and the multi-phase reference signal, for generating a phase displacement signal, and for generating a phase compensation signal for compensating the synchronized phase signal from the phase-locked-loop circuit when the phase displacement signal exceeds a threshold value.