Research of the Reference-Frame Transformation Theory of AC Machine
Tian Mingxing£¬Li Qingfu£¬Wang Shuhong
(School of Electrical Engineering,Xi'an Jiaotong University,Xi'an 710049,China)

Abstract£ºThe referenceª²frame transformation theory of AC machine is reviewed, and the referenceª²frame transformation of AC machine is considered to be identical in nature to those in the electrical machinery, spatial analytic geometry and vector algebra, and control theory. The same general transformation matrix of referenceª²frame which rotates at arbitrary speed, of AC machine is derived respectively with the methods of physical concept, analytic geometry of space and vector algebra, and orthogonal similarity transformation.This study contributs to an understanding in relatively full perspectives, and developing the referenceª²frame transformation and control theory of AC machine.
Keywords£ºAC machine;referenceª²frame transformation; analytical geometry of space; vector
algebra; orthogonal similarity transformation