TRANSFORMATION TERMS abc TO qdn FOR 9-PHASE SYSTEM WITH 3x9 MATRIX

Order of the transformation matrix from abc coordinates to qdn for 9-phase induction motor was introduced in a square matrix form with order of 9x9. The size of this large matrix order can complicate the process of changing from 9-phase induction motor model of the form abc into qdn becomes less simple. Reducing matrix order obtains the efficiency of computation cost. In this paper we propose the unit vector relationships both abc and qdn coordinate transformation matrix obtained qdn term to order 3x9 in order to reducing significant parameter. Through the simulation can be shown that the response of the same input and the reference rotary speed different angles on the order of 3x9 coordinate transformation can produce a different response vqdn voltage and output voltage vabc is the same for each reference frame.