FOC control operates by measuring and
adjusting the stator currents in order to keep the angle
between the stator flux and rotor flux as close to 90
r as possible. Instead of attempting to control the three phases
that power the stator independently, FOC maps them as a
single space vector and runs that quantity through several
mathematical transforms (Park, Clarke and inverse Park
transform). These real time mathematical transformations
must be carried out very quickly by high performance
processing capability of computer engines (e.g. modern
DSPs, FPGAs).