Recent Developments of Electrical Drives - Part 31. 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 | 298 Choi et al. Figure 3. Dynamic constraints between dynamic capability and required motional profiles. Design strategy using dynamic constraints In principle dynamic capability shown in 1 should be at least larger than Force-Speed relation of required trajectory shown in 2 . This relation is shown inFig. 3 where static and dynamic capability and the required motional trajectory are compared. Particularly between two forces from maximum voltage and current respectively the smaller one could be the final dynamic capability which is based on 1 . Therefore heavy-line in Fig. 3 indicates the final capability of PMLSM which should be larger than motional profile and this conclusion gives effective design criteria referred as dynamic constraints. Therefore it is reasonable that only dynamic capability at the velocity of v1 v2 vmax should be larger than the required one which is summarized as follows. Constraint 1 v v1 J Jmax a amax 3KeC1 . . BV1 F 2 R2 n T 2 L2 v2 Constraint 2 v v2 J 0 a amax 3 C1 VC2 - C3 - Ke min ------ 2 2 1 max mam B v2 Fl 2 Rs2 n T 2 L2v2 Constraint 3 v vmax J Jmax a 0 3 K C1 VC2 C3 0 2 eR2 n T 2Ls2v2 3 4 5 In 3 the dynamic constraints only from voltage limitation are considered because the other constraints from maximum input current can be neglected due to the same kind of constraints in 4 . In practical application it is not fixed which one between dynamic capability and the force from maximum input current has larger value. Thereby at velocity of v2 in 4 both of them must be satisfied at the same time where dynamic capability J 0 a amax and static capability J 0 a 0 show little difference which can be verified through 1 . In constraints 3 it is sufficient to judge whether motor has an . Design and Manufacturing of Steel-Cored PMLSM 299 ability to produce the force or not. However constraints 3 can be replaced by other different constraint like dFe max dv dFe v dv at v v2 which means that if the slope of dynamic capability is larger than
