General-purpose model of a three-phase asynchronous machine for simulation

New Speed Control Scheme for a Three-Phase Induction Machines - (3~IM) Based on Sine Duty Cycle Modulation (SDCM)

“…The exact analytical expression of the modulation duty cycle Rm(x(t)), originally established in [6], is highly non-linear in x. For this reason, it has been shown that there is an excellent linear approximation of from the point of view of accuracy and modulating range by a 1st order Taylor expansion.…”

“…For our study, we have opted for a reference frame linked to the rotating field because it is better suited to setting the parameters of the threephase asynchronous machine. Taking into account the simplifying assumptions [1], [5][6][7] the mathematical model of the three-axis squirrel-cage induction motor for our case is transformed into a two-axis model (dq) using the PARK transformation. Figure 4 below shows the simplified model of this motor in the dq reference frame.…”

“…However, controlling the speed of these machines is a complex problem, as it involves modifying the voltage and frequency of the network that supplies them. Various techniques have been proposed [1][2][3][4][5][6][7] to achieve this control, of which scalar V/f control is one of the simplest and most effective. This technique consists of supplying the MIT with an inverter controlled by pulse width modulation (PWM), which generates a variable voltage and frequency as a function of the speed setpoint.…”

A comparative study for the performance operation of electric machine based on conventional and D-Q theories

“…The classical (abc) approach which is used to simulate the dynamic performance and calculates the main variables directly without affect by the asymmetry of currents, voltages and inductances [10]. The dynamic response of the induction machines under unstable and faults operation are simulated easily using D-Q transformation theory, where this approach is used to model and simulates the two-phase and short circuit condition on stator winding based on the same set of equations developed for normal operation [11]. A general purpose model is introduced to simulate the steady state, transient and unbalanced two-phase operation of the machines [12], [13].…”