Spiral Vector Theory of Synchronous Machine

Although the synchronous machine has been in use for a long time, it seems that their analysis has not reached an adequate and sufficient state, especially in transient state analysis. It has more or less saliency of poles, which makes their inductances time-variant and their analysis complicated. The conventional theories are based on the two-axis method. They involve complicated variable transformations, which are not so successful in analysing the machine. The author proposed the spiral vector method and obtained good results in analysis of electric circuits and machines with it. Now the method will be applied to analysis of the synchronous machine, to improve the confused situation. It is not only the most important building block of the large electric power transmission network, but has begun to play a new important role as the AC control motor, which is sometimes called the brushless DC motor.