Transient Analysis of Rotating Machines and Stationary Networks by Means of Rotating Reference Frames

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 n1 stator phases and n2 rotor phases under synchronous or asynchronous operation. Concatenation of induction machines and selsyns are studied by means of rotating reference frames.

[1]  C. Concordia,et al.  Analysis of series capacitor application problems , 1937, Electrical Engineering.

[2]  Y. H. Ku.  Extension of 2-reaction theory to multiphase synchronous machines , 1937, Electrical Engineering.

[3]  Gabriel Kron.  Classification of the Reference Frames of a Synchronous Machine , 1950, Transactions of the American Institute of Electrical Engineers.

[4]  L F. Blume.  Characteristics of load ratio control circuits , 1932, Electrical Engineering.

[5]  Charles Concordia,et al.  Synchronous Machine Damping Torque at Low Speeds , 1950, Transactions of the American Institute of Electrical Engineers.

[6]  C. Concordia,et al.  Negative damping of electrical machinery , 1941, Electrical Engineering.

[7]  C. Concordia.  Two-reaction theory of synchronous machines with any balanced terminal impedance , 1937, Electrical Engineering.

[8]  R. H. Park,et al.  Two-reaction theory of synchronous machines-II , 1933, Transactions of the American Institute of Electrical Engineers.

[9]  Yu H. Ku.  Transient analysis of A-C. machinery — II , 1932, Electrical Engineering.

[10]  Gabriel Kron.  Stationary Networks and Transmission Lines Along Uniformly Rotating Reference Frames , 1949, Transactions of the American Institute of Electrical Engineers.

[11]  Gabriel Kron,et al.  The application of tensors to the analysis of rotating electrical machinery , 1942 .

[12]  S. B. Crary,et al.  Two-reaction theory of synchronous machines , 1937, Electrical Engineering.

[13]  Charles Concordia,et al.  Synchronous Machine Damping and Synchronizing Torques , 1951, Transactions of the American Institute of Electrical Engineers.

[14]  R. H. Park.  Two Reaction Theory of Synchronous Machines , 1929 .