Analytical Prediction of Electromagnetic Performance of Vernier Machine with Rotor Eccentricity

Abstract

In this article, an analytical model is developed for the magnetic field calculation of the vernier machine with a normal or an eccentric rotor. The electromagnetic performance considering the armature reaction can be taken into consideration and calculated since the magnetic vector potential is adopted. In the analytical model, the whole working domain is divided into several subdomains, and the partial differential equations of the magnetic field can be built in all subdomains. The magnetic vector potential expressions can be obtained in all subdomains through applying boundary conditions to general solutions. The perturbation method is used to describe the rotor eccentricity. The effect of static or dynamic eccentricity on the flux density, flux linkage, cogging torque, electromagnetic torque, unbalanced magnetic pull, and winding inductances is calculated and validated by the finite-element method.

Keywords:

• Vernier machine
• static eccentricity
• dynamic eccentricity
• subdomain method
• analytical method
• finite-element method
• perturbation method

Additional information

Notes on contributors

Yubo Yang

Yubo Yang received his B.S. from the School of Electrical Engineering, Shandong University of Technology, in 2000 and his M.S. and Ph.D. from the School of Electrical Engineering, Shandong University, Jinan, China, in 2002 and 2007, respectively. He became an associate professor in 2011 at Shandong University. His current research includes special electric machines and control.

Bo Yan

Bo Yan received his B.S. in 2014 from the School of Electrical Engineering, Shandong University, Jinan, China, where he is currently working toward his Ph.D. degree. His research interest includes PM machines and control.

Ning Wang

Ning Wang received his B.S. in 2013 from the College of Automation Engineering, Qingdao Technological University, Qingdao, China. He is currently working toward his M.S. at the School of Electrical Engineering, Shandong University. His research interest includes the VM and control.

Xiuhe Wang

Xiuhe Wang obtained his B.S. and M.S. from Shandong University in 1989 and 1993, respectively, and his Ph.D. from Shenyang University of Technology in 1996. He is presently a professor with the School of Electrical Engineering, Shandong University. His research interests include PM machines, theoretical analysis and calculation of electromagnetic devices, and artificial intelligence and its application on electrical machines.