交流电机坐标变换理论的研究

对交流电机坐标变换理论进行了综述，认为交流电机坐标变换在电机学、空间解析几何和矢量代数学以及控制论3个方面应该具有内在联系，是纯一的。通过分别采用物理概念的方法、空间解析几何和矢量代数方法以及正交相似变换方法推导交流电机任意速旋转三相／二相坐标变换矩阵，得到了完全相同的结论，这为从多学科角度理解、发展交流电机坐标变换理论及其控制策略提供了有益的借鉴和启发。

Research of the Reference-Frame Transformation Theory of AC Machine

The reference frame transformation theory of AC machine is reviewed, and the reference frame 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 reference frame 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 reference frame transformation and control theory of AC machine.