Appendix C

The Induction Machine: Modeling and Control

C.1 Space Vector Notion

The space vector x¯image is defined by (Fig. C.1):

x¯=23(x1+ax2+a2x3)

image

where

a=ej2π3

image

and

{x1=X1cos(wt+φ1)x2=X2cos(wt+φ2)x3=X3cos(wt+φ3) (C.1)

image (C.1)
image
Figure C.1 Schematic representation ...

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