If we assume the 480V 3 phase service has a 200A non-100% rated OCPD, and that the EVSEs must be treated as continuous loads, then the available continuous VA at the 480V 3-phase service is 200*480*sqrt(3)/125% = 133 kVA for a balanced load. The transformer rating of 150 kVA is a continuous rating to my understanding, so the 133 kVA is the limiting factor.
Here.
(3) 208V 48A continuous EVSEs in a balanced configuration present a continuous load of 3*208*48 = 30 kVA. So certainly 4 such sets, or 12 EVSEs, can be supplied from the equipment, as 4*30 kVA = 120 kVA < 133 kVA.
To check the unbalanced case (i.e. a 13th EVSE, since there is more than 10 kVA remaining), the allowable continuous current on the 208Y/120V system is 200A * 480/208 * (1/125%) = 369A. (4) balanced sets of 48A 2-wire EVSEs load one leg to 48*4*sqrt(3) = 333A. One additional 2-wire load imposes an additional current of 48A at a 30 degree phase angle to the 333A. 48A * cos(30 degrees) = 42A, which already makes 375A without including the effect of the perpendicular current component. So there's no room in the load calc for a 13th EVSE.
Cheers, Wayne