TAILIEUCHUNG - Recent Developments of Electrical Drives - Part 9

Recent Developments of Electrical Drives - Part 9. The book stating the recent developments of electrical drives, can be useful for engineers and researchers investigating and designing electrical and electronic devices as well as for students and young researchers dealing with electrical and electronic engineering, computer sciences (advanced computer modelling, sophisticated control systems with artificial intelligence tools applied, optimal design bye use of classical and genetic algorithms employed), applied mathematics and all the topics where electromagnetic, thermal, mechanical phenomena occur | 66 Lateb et al. 1 CSMM 2 RSMM 3 RSMM -x- 4 RSMM 5 RSMM 6 RSMM Magnet Span Electrical degree Figure 6. Average torque vs. magnet span for each structure. allows to reduce the amplitude of the cogging torque. The slot-opening angle is less than half a slot pitch ts. Assuming that the phase currents are function of the electrical rotor position 0 selfcontrolled PM motor the electromagnetic torque Tem which is the sum of the cogging torque Tc and the current-magnets interaction torque Te-i can be expressed by Tem 0 Tc 0 Te-i 0 1 V A Tc 0 - ij 0 x e 0 12 where is rotor angular speed. ij and ej are the current and back EMF of the jth phase. q is the phase number q 3 . The phase currents are assumed to be sinusoidal while the back EMF contains harmonics. These harmonics are at the origin of the pulsating component of Te-i called ripple torque Tr. So the total pulsating torque Tcr is the mean value of Te-i is the average torque Tav. Fig. 6 shows the average torque vs. magnet pole spanforthe PM motors withN elementary magnet blocks N 1 . 6 per pole. It is obvious that the nonsegmented PM motor CSMM in which a curved magnet per pole is used has the highest average torque since the magnet volume is more important and the air-gap is constant. The PM motor with two magnets blocks per pole two RSMM has the lowest average torque because the average air-gap is more important which affects the air-gap flux density. The four five and six RSMM configurations present almost the same average torque for a given value of magnet pole span. Within sight of Fig. 6 one finds a classical result which shows that on one hand beyond am 165 the profit in average torque is weak compared to the cost generated by the increase of the magnet volume. On the other hand for am 145 the average torque is relatively weak. Varying the magnet span influences not only the average torque but also the cogging torque and the ripple torque. As these two pulsating torque components depend differently on the magnet

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