Estimation of the rotor resistance in induction motor by application of the spiral vector theory associate to extended Kalman filter

For guaranteed a good performances in transient and steady state in vector control of induction motor. It's necessary to conceive a insensible regulation to parameters variations, in particular rotor resistance, for fix this problem, the innumerable works are devoted to rotor resistance. But all of this works use park's model of induction motor, for estimate this resistance. However this model use a hefty geometric transformation to calculate. In this paper the authors propose for the first time the application of extended Kalman filter to rotor resistance estimation in induction motor by taking account of spiral vector theory. The model obtained by the spiral vector theory permits to obtain a reduction in model order and permits also to use only two sensors (one for current and one for voltage) to opposite of the park's model where it's necessary four sensors 'two for current and two for voltage).