In the dynamic analysis and motion control of AC motor

specific problems are analyzed by variousreference-frame transformations meant to the research of dynamic process according different situations. To obtainthe uniform forms of reference-frame transformations in view of the difference of coefficient andformabouttransformation matrix，the relationship and change regulation between these four reference-frame and natural coordinate isdiscussed and the uniform formula of reference-frame transformations is deducted based on the fundamental conceptof synthetic vectors for convenience to program and modularize. The theory evidence for the researching problems about dynamic analysis and motion control of ac motor is provided.