Estimation of electromagnetic parameters of an induction motor multi-loop equivalent circuit based on the machine inductance frequency characteristic

Archives of Electrical Engineering

“…The reactance jω 1 L 1δ ( f 2 ) in ( 3) can be represented in the form of a parallel connection of the magnetizing reactance jω 1 L µ and the rotor impedance [14][15][16]. The stator leakage inductance L 1σ and the magnetizing inductance L µ appearing in ( 3) and ( 4) are treated as constant parameters due to the constancy of stator voltage parameters during the LC test.…”

“…, ω 2 is a slip angular frequency ω 2 = 2π f 2 , superscript • denotes rotor electromagnetic parameters and physical quantities referred to the stator. The variability of rotor impedance as a function of slip frequency can be approximated through a parallel connected two-terminal networks of R (5), which leads to representation of the actual inductance frequency characteristic L 1δ ( f 2 ) (4) of a considered IM by means of an expanded rotor EC [14][15][16].…”

“…The machine IFCh unequivocally represents the variability of rotor electromagnetic parameters, resulted from rotor deep bar effect, at any stator supply voltage frequency from the range enabling the machine operation at the constant flux range -below the field weakening point [15]. Taking the above feature into account, the IFCh can constitute a reference characteristic in an identification procedure of electromagnetic parameters of machine ECs, which can further be used in an elaboration process of various control algorithms of IM drive systems.…”

“…An alternative to the above mentioned IM mathematical models can be one elaborated on the basis of the expanded EC in relation to its classical counterparts. The variability of rotor electromagnetic parameters, in this case resulting from rotor deep bar effect, is approximated with the use of a parallel connection of two-terminal networks with constant lumped parameters [7][8][9][11][12][13][14][15][16][17]. The usage of the Rotor Multi-Loop Equivalent Circuit (RML-EC) involves the necessity to identify a greater number of electromagnetic parameters of a rotor EC than in the case of the classical T-EC.…”

“…The usage of the Rotor Multi-Loop Equivalent Circuit (RML-EC) involves the necessity to identify a greater number of electromagnetic parameters of a rotor EC than in the case of the classical T-EC. An identification process of these parameters can be carried out with the aid of selected optimization methods through minimization of the errors between some types of time responses [11], instantaneous input impedances [12], impedance frequency characteristics [8,9,[13][14][15][16] or torque-slip characteristics [17] of a considered machine and corresponding characteristics determined on the basis of IM mathematical models resulting from the RML-EC with the sought parameters.…”