5441 Interpretation of Space Vectors

The space vectors, through one convenient and compact vector form, express the same resultant effect that the three individual phase variables would produce. For example, the stator mmf distribution in the air gap is a result of three phase currents ia, h, and ic, while the equivalent space vector current is developed in such a way that this imaginary current flowing through an equivalent winding of Ns turns would produce the same resultant mmf distribution.

The relationships between electrical and magnetic quantities are conveniently expressed with the help of space vectors. Using Equations 5.11, 5.12, and 5.14, we can write

The mmf and current vector magnitudes are related by the scalar constant Ns/2, and they have the same angular orientation.

The flux density can be similarly shown to be

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