Mathematical model and vector control of a six-phase linear induction motor with the dynamic end effect

Loss Minimization Control of Dual Three‐Phase Linear Induction Motor with System‐Level Loss Model

“…ω s and ω sl are the primary electrical angular frequency and slip angular frequency. The two parameters K e and K r reflect the impact of dynamic end effect, which are shown in appendix, and discussed in detail in Reference [8]. For simplify expression, L m K e and R r K r are defined as L me and R re respectively.…”

“…7, for the proposed LMC strategy, if neglect end effects, the calculated flux will be lower than the actual required value, thus the minimum loss cannot be achieved. In addition, while ignore the effect, its thrust and speed track the given value slower, there are more detailed impact of dynamic end effect in reference (8).…”

“…Jiefang Avenue Wuhan, Hubei Province, China models used in the LIM control strategy are improved based on the equivalent circuit proposed by research [14] containing the dimensionless coefficient Q, in which four correction coefficients are introduced [8]. Hu Dong, Xu Wei et al on the basis of research [12], took inverter loss and normal force into account and proposed integrated LMC strategys [9] [11],.…”

“…Researches [3], [5], [6] each proposed a system‐level RIM loss model and corresponding control strategy, adding inverter losses, DC bus losses and filter circuit losses to the model. However, due to the structural differences between LIM and RIM, the design and control strategies of LIM are more complicated [8], and there are still relatively few researches on LMC strategies for LIM [9–13]. Most of the LIM mathematical models used in the LIM control strategy are improved based on the equivalent circuit proposed by research [14] containing the dimensionless coefficient Q, in which four correction coefficients are introduced [8].…”

“…proposed a mathematical model of LIM that included leakage inductance and dynamic side effects. The series loss resistor was used to replace the parallel branch and only two correction coefficients were used, which significantly simplified the model [8].…”