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Abstracl -This paper proposes a linear estimation technique to determine the electrical parameters of a three phase induction machine. The linear regression models are derived from the sinusoidal steady state machine model. The method permits to estimate a set of four basic parameters [~~, 7~, 2~, 4 7 2 , ] .The parameters are estimated using only one machine operation point. This study enables one to build a parameter mapping of the induction machine in terms of its operating points. The data vector employed in the estimation procedure is obtained from the phase measurement data. The simulation and experimental results of the proposed approach in the modeling of a three phase induction machine are presented.