**
SPACE VECTORS**

**This
animation shows the motion of space vectors for the case of a
balanced
three-phase sinusoidal signal:
**

**
f _{A} =
cos(ωt),
f_{B} =
cos(ωt-α),
f_{C} =
cos(ωt+α)
where α = 2π/3. **

**The
corresponding space vector is obtained from
f _{R}
= (f_{A} +
γ
f_{B}
+ γ^{2} f_{C}) =
1.5e^{jωt}^{
} where γ = e^{jα}.
**

© M. Riaz