Development of a spiral vector based simulation model for a permanent magnet synchronous motor

Recently the synchronous motor began to replace DC control motors. They are permanent magnet excited synchronous motors (PMSM). Although the synchronous machine has been in use for a long time, it seems that their analysis have not been made adequately and sufficiently, especially in transient state analysis. The conventional theories are based on the two-axis method. Prof. Sakae Yamamura proposed the spiral vector method and obtained good results in analysis of electric circuits and machines with it. In this paper, this method will be applied to analysis of PMSM in order to reveal new aspects of performances of PMSM. The method employs a mathematically rigorous phase segregation approach in deriving a single phase model of synchronous machine. The spiral vector approach unifies both steady state and transient state analysis using common model expression based on spiral vector. This project use spiral vector approach to develop a simulation model for a PMSM using Scilab's Scicos (an open source mathematical packages similar to Matlab).