I wonder what is the difference between a Phasor, a Vector and a Space Vector? A phasor is also a rotating vector in space then it means that a space vector is same as a phasor? Also by definition a vector has magnitude and direction in 2D-space.. so then a vector and space vector both are the same things. Please correct me if I am wrong in this understanding.
Phasor vs Vector vs Space Vector – Understanding the Differences
induction motorphasorpower electronicspwmvector-control
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Best Answer
A space vector results from a mathematical transform of a three-phase system, which results in a vector in the complex plane. As time progresses, the vector moves around and draws its trajectory in the complex plane.
Example for a three-phase voltage system:
\$\underline{a} = \frac{2}{3} e^{(\frac{2 \pi}{3} j)}\$
\$\underline{u}(t) = u_R(t) + \underline{a} \cdot u_S(t) + \underline{a}^2 \cdot u_T(t)\$
If \$u_R(t)\$, \$u_S(t)\$ and \$u_T(t)\$ describe a pure sinusoidal system, the resulting space vector \$\underline{u}(t)\$, which is a time-dependent complex number, will rotate in the complex plane, and draw a circle there. Every deviation from the circle (e.g. current ripple if one looks at the space vector of inverter current) is related to a distortion in the time domain.
Space vector calculus allows optimization of PWM switching patterns, and allows visualization of complex modulation patterns.