A Novel Solution for Variable Speed Operations of Switched Reluctance Motors Abhinav A. Kalamdani Email: [email protected] Contents • Introduction • Mathematical Model • SR Motor Drive - Simplified C-Dump Converter - Commutation And Direction Control • Position Control • Results • Conclusions Introduction • SRM is an old member of the motor family, due to electronics and complex control requirements, it did not come into light. • SRM has a simple and robust structure with no windings on the rotor of the machine. • It has high torque-to-inertia ratio and high starting torque without the problem of in-rush currents • Each phase winding of the SRM is independent of the other phase windings and this makes the machine highly reliable. Introduction (contd.) • When the stator coils are excited the tendency of the nearest rotor pole is to align itself with the stator attaining a minimum reluctance path for the magnetic field, and maximum inductance. • In the unaligned state the reluctance is maximum and the inductance is minimum. • The continuous excitation of the phases produces a rotating magnetic field and the rotor rotates according to magnetic field synchronously. Introduction (contd.) • There are several disadvantages of SRM: - The pulsed nature of torque production, which leads to torque ripple and acoustic noise. - Higher torque-volume ratio needs a small air gap between stator and rotor, which leads to increased acoustic noise and less manufacturing tolerances. - The motor is not self-commutated, it needs a converter and a commutation controller. - The presence of high inductances increases the current rise and decay time thus giving higher negative torques. Mathematical Model • The mathematical model is inconsistent over the entire operation. • The parameters change continuously throughout and hence showing a great deal of non-linearity. • However segmenting the operation regions is helpful to analyze the motor. • The phase voltage equation is given by: • where V is DC bus voltage, i is the phase current, R is coil resistance and (cid:1) is the flux linking the coil. Mathematical Model (contd.) • The flux linkage consists of inductance L and current i and equation (1) is differentiated giving (2), where (cid:2) is speed and (cid:3) is rotor position. • The inductance is continuously varying with position as shown in the figure according to equation (3), where L is unaligned inductance. u Mathematical Model (contd.) • In equation (3) the term L((cid:3)) is the instantaneous inductance at that rotor position. • In equation (2) the term is the slope of the inductance profile and the term is the back-emf generated by the motoring action. • The power equation of the motor is given by equations (4) and (5): • The equation (5) shows the power consumed by motor. The power is lost in resistance, inductance and the remaining energy is the mechanical output. • The third term is equivalent to P = T.(cid:2), T is the torque and is given by: mech • The sign of the slope of inductance profile decides the direction of torque. SR Motor Drive • The SRM is not a self-commutated motor, it needs drive consisting of a converter for delivering the power and a commutation module. • One of the major research domains of SRM has been the converters, since they decide the performance, efficiency, controllability and cost of the SR drive. • The phase independence and uni-polar current characteristic have encouraged the development of various converter topologies. • The drive should be able to satisfy the following requirements: - Each phase should be able to conduct independent of other phases. - It should demagnetize the phase before it steps into generating region. - It should energize the next phase before the off-going phase demagnetizes. - The demagnetization energy should be used up either by feeding it to the source or the upcoming phase. - The demagnetization of the phase should be very fast, to reduce the commutation time. - The free-wheeling facility should be provided during chopping mode. Simplified C-Dump Converter • The Simplified C-Dump Converter is a modified version of Sayeed Mir et. al.’s Energy Efficient C-Dump Converter II.
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