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This paper analyzes the behavior of a-c rotating machines connected to stationary networks or transmission lines and other rotating machines under synchronous or asynchronous operation. Rotating reference frames are introduced. The forward and backward components are correlated to the direct-axis and quadrature-axis components in a simple manner. Part I deals with the interconnection of a rotating machine and a terminal network or a transmission line with lumped or distributed constants. Part II deals with the interconnection of rotating machines. A general network of n machines is analyzed. Part III considers a general machine with n1stator phases and n2rotor phases under synchronous or asynchronous operation. Concatenation of induction machines and selsyns are studied by means of rotating reference frames.
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Y.H. Ku (1951) studied this question.
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