Abstract: This process comprises measuring chosen particular physical parameters of a synchronous rotating machine, combining said parameters with variables defining the nominal mode of operation of the machine, obtaining from said physical parameters and said variables a set of coefficients of the first matrices (A, B, C) representing the continuous state of the machine, and obtaining from said matrices a system of continuous state equations of the machine:d /X(t)/ /dt=A.X.(t)+B.U.(t)Y(t)=C.X(t)in which:X(t) is the state vector of the systemU(t) is the input vector of the systemY(t) is the output vector of the system.