“…Recently, there are some investigations on a new type of linear primary PM vernier (LPPMV) machines, thanks to its mechanical integrity, high-thrust, low-speed, and low cogging torque characteristics [16,17]. Regarding the mentioned WEC type, there are some research on the linear vernier machines (LVMs) as the WEC, where the PM is commonly used in their structure, as well as the various structures are proposed [16,[18][19][20][21][22][23][24][25][26][27]. LVMs modelling is an important issue, which has been investigated by researchers.…”