**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}
= k_{1} 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}.**

© M. Riaz