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SPACE VECTOR DECOMPOSITION

This demo animates the motion of the  space vector f under balanced sinusoidal conditions, appearing as constant amplitude vectors rotating at the excitation frequency ω_s. The magnitude can be  adjusted by sliding point F along the α axis. 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  frequency ω_s. In the rotating synchronous dq frame, the dq components are constants whose values depend on the orientation of the space vector with respect to the dq axes. The time derivative df/dt of the space vector in the synchronous frame can be represented by the velocity vector v_f of the terminus of the space vector f ; this vector is perpendicular to f and has an amplitude of |v_f| = ω_s |f|.

© M. Riaz