Abstract
The 2-reaction theory, introduced first by Blondel and later expanded by others, is generally applied to the analysis of synchronous machines. This theory, however, can be used to analyze and calculate the performance of all types of electric machinery. In the following the 2-reaction theory is used: to derive the differential equations of a-c motors; to develop the steady state equations of a-c motors; to draw vector diagrams for a-c motors; to solve the steady state equations and find the currents and torques. The advantages of this method are: its simplicity; the exclusion of vagueness and ambiguity about certain signs; and it presents a unified method for the mathematical analysis of all electric machines.

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