Does a 3-phase phase-locked loop diagram possible for an AC to DC battery charger?

Hi there,

In order to achieve unity power factor control, the phase of the AC voltage needs to be obtained. The phase is obtained through a phase-locked loop (PLL).

Take a look for single phase control structure of the PLL ,


Another might be understandable





For such similar way I want to mention some of 3-phase equation, could you kindly elaborate it more ?


VSa = 1/3*(VSab-VSca);
VSb = 1/3*(VSbc-VSab);
VSc = 1/3*(VSca-VSbc);

VSalpha = 2/3*(VSa - (0.5*VSb) - (0.5*VSc));
VSbeta = 2/3 *(SQRT3_2*VSb - SQRT3_2*VSc);

VSq = VSalpha*COS_theta + VSbeta*SIN_theta;
VSd = -VSalpha*SIN_theta + VSbeta*COS_theta;

VSd_error = (VSd - VSd_ref);

freq_delta += (Kp_PLL*(VSd_error-AC_FREQ_PERR) + Ki_PLL*VSd_error);

Kp_PLL=0.1

p_VSd_error = VSd_error;

if(freq_delta > 5.) freq_delta = 5.;
if(freq_delta < -5.) freq_delta = -5.;

freq = ((AC_FREQ_NORMAL ? 50 : 60) + freq_delta);

freq_filtered = 0.99*freq_filtered + 0.01*freq;

theta += (PI2*freq_filtered*AC_TSW);
AC_TSW= 0.000033

Lets angle theta goes pi to 2*pi.

Kindly discuss logically.