Space vector decomposition in the synchronous dq frame

SPACE VECTOR DECOMPOSITION

This demo animates the motion of space vectors under balanced sinusoidal conditions, appearing as constant amplitude vectors rotating at the excitation frequency. The components depend on the choice of reference frame. In the stationary αβ frame, the components are time varying representing two-phase sinusoidal signals at stator frequency. In the rotating synchronous dq frame, the dq components are constant whose values depend on the orientation of the space vectors with respect to the dq axes. The state vectors I_s (stator current) and λ_r (rotor flux linkage) are shown in the common dq synchronous frame. When the d_axis is aligned with the rotor field --a process referred to as field orientation--, λ_rq = 0 and the torque is expressed as T_e = k₁ i_sd i_sq. The current i_sd   is the field component and i_sq is the torque component of the stator current space vector I_s.