On-Load Field Prediction in SPM Machines by a Subdomain and Magnetic Circuit Hybrid Model

In this article, a new subdomain and magnetic circuit hybrid model (SMCHM) is proposed for on-load field prediction in the surface-mounted permanent-magnet machines. Equivalent current sheets are introduced to represent the nonlinearity effect, whose values are obtained by a magnetic circuit (MC) and correlated with boundary conditions in a subdomain model. The number of reluctances in the MC of the proposed model can be selected flexibly according to the nonlinearity effect. Instead of sectorial tooth in the conventional subdomain model, parallel tooth is considered in the proposed model to improve the accuracy. The SMCHM can accurately calculate the flux density distributions and electromagnetic performance considering the heavy nonlinearity effect under the load conditions with fast computation speed. The finite-element analysis is performed to validate the proposed model, which shows an excellent agreement between them. A prototype machine is manufactured to further prove these predictions.

[1]  Min-Fu Hsieh,et al.  A Review of the Design Issues and Techniques for Radial-Flux Brushless Surface and Internal Rare-Earth Permanent-Magnet Motors , 2011, IEEE Transactions on Industrial Electronics.

[2]  Yves Perriard,et al.  Very-High-Speed Slotless Permanent-Magnet Motors: Analytical Modeling, Optimization, Design, and Torque Measurement Methods , 2010, IEEE Transactions on Industrial Electronics.

[3]  Damir Zarko,et al.  On-Load Analysis of Saturated Surface Permanent Magnet Machines Using Conformal Mapping and Magnetic Equivalent Circuits , 2018, IEEE Transactions on Energy Conversion.

[4]  Karim Abbaszadeh,et al.  Magnetic Field Analysis in Eccentric Surface-Mounted Permanent-Magnet Motors Using an Improved Conformal Mapping Method , 2016, IEEE Transactions on Energy Conversion.

[5]  Leila Parsa,et al.  Interior Permanent Magnet Motors With Reduced Torque Pulsation , 2008, IEEE Transactions on Industrial Electronics.

[6]  Y. Amara,et al.  Cogging Force Analysis of Linear Permanent Magnet Machines Using a Hybrid Analytical Model , 2016, IEEE Transactions on Magnetics.

[7]  Yacine Amara,et al.  Open Circuit Performance Analysis of a Permanent Magnet Linear Machine Using a New Hybrid Analytical Model , 2015, IEEE Transactions on Magnetics.

[8]  Fabrizio Marignetti,et al.  Multiphysics Approach to Numerical Modeling of a Permanent-Magnet Tubular Linear Motor , 2010, IEEE Transactions on Industrial Electronics.

[9]  Antonios G. Kladas,et al.  Internal Permanent Magnet Motor Design for Electric Vehicle Drive , 2010, IEEE Transactions on Industrial Electronics.

[10]  Katsumi Yamazaki,et al.  Rotor-Shape Optimization of Interior-Permanent-Magnet Motors to Reduce Harmonic Iron Losses , 2010, IEEE Transactions on Industrial Electronics.

[11]  Youtong Fang,et al.  Slotted Permanent-Magnet Machines: General Analytical Model of Magnetic Fields, Torque, Eddy Currents, and Permanent-Magnet Power Losses Including the Diffusion Effect , 2016, IEEE Transactions on Magnetics.

[12]  Z. Q. Zhu,et al.  Analytical prediction of electromagnetic performance of surface-mounted PM machines based on subdomain model accounting for tooth-tips , 2011 .

[13]  Johannes J. H. Paulides,et al.  Analytical Hybrid Model for Flux Switching Permanent Magnet Machines , 2010, IEEE Transactions on Magnetics.

[14]  Jawad Faiz,et al.  Unbalanced Magnetic Force Analysis in Eccentric Surface Permanent-Magnet Motors Using an Improved Conformal Mapping Method , 2017, IEEE Transactions on Energy Conversion.

[15]  Z. Zhu,et al.  A Hybrid Field Model for Open-Circuit Field Prediction in Surface-Mounted PM Machines Considering Saturation , 2018, IEEE Transactions on Magnetics.

[16]  D. Staton,et al.  An Improved Subdomain Model for Predicting Magnetic Field of Surface-Mounted Permanent Magnet Machines Accounting for Tooth-Tips , 2011, IEEE Transactions on Magnetics.

[17]  Y. Amara,et al.  A General Framework Based on a Hybrid Analytical Model for the Analysis and Design of Permanent Magnet Machines , 2015, IEEE Transactions on Magnetics.

[18]  Dong-Seok Hyun,et al.  Analysis of PMLSM using three dimensional equivalent magnetic circuit network method , 1997 .

[19]  Jiabin Wang,et al.  Analytical Prediction of the Short-Circuit Current in Fault-Tolerant Permanent-Magnet Machines , 2008, IEEE Transactions on Industrial Electronics.

[20]  T. Lipo,et al.  Analytical calculation of magnetic field distribution in the slotted air gap of a surface permanent-magnet motor using complex relative air-gap permeance , 2006, IEEE Transactions on Magnetics.

[21]  Z. Zhu,et al.  Instantaneous magnetic field distribution in brushless permanent magnet DC motors. III. Effect of stator slotting , 1993 .

[22]  Ki-Doek Lee,et al.  Inductance Calculation of Flux Concentrating Permanent Magnet Motor through Nonlinear Magnetic Equivalent Circuit , 2015, IEEE Transactions on Magnetics.

[23]  Jeong-Jong Lee,et al.  Characteristic Analysis of Claw-Pole Machine Using Improved Equivalent Magnetic Circuit , 2009, IEEE Transactions on Magnetics.

[24]  M Popescu,et al.  Subdomain Model for Predicting Armature Reaction Field of Surface-Mounted Permanent-Magnet Machines Accounting for Tooth-Tips , 2011, IEEE Transactions on Magnetics.

[25]  Lijian Wu,et al.  A Nonlinear Subdomain and Magnetic Circuit Hybrid Model for Open-Circuit Field Prediction in Surface-Mounted PM Machines , 2019, IEEE Transactions on Energy Conversion.

[26]  Damir Zarko,et al.  A Novel Method for No-Load Magnetic Field Analysis of Saturated Surface Permanent-Magnet Machines Using Conformal Mapping and Magnetic Equivalent Circuits , 2016, IEEE Transactions on Energy Conversion.

[27]  T. Lipo,et al.  Analytical Solution for Cogging Torque in Surface Permanent-Magnet Motors Using Conformal Mapping , 2008, IEEE Transactions on Magnetics.

[29]  Z. Zhu,et al.  Instantaneous magnetic field distribution in permanent magnet brushless DC motors. IV. Magnetic field on load , 1993 .

[30]  Liang Yan,et al.  Electromechanical Modeling of a Permanent-Magnet Spherical Actuator Based on Magnetic-Dipole-Moment Principle , 2009, IEEE Transactions on Industrial Electronics.

[31]  Mauro Andriollo,et al.  Design Improvement of a Single-Phase Brushless Permanent Magnet Motor for Small Fan Appliances , 2010, IEEE Transactions on Industrial Electronics.

[32]  Peter Sergeant,et al.  Analytical Modeling of Surface PMSM Using a Combined Solution of Maxwell–s Equations and Magnetic Equivalent Circuit , 2014, IEEE Transactions on Magnetics.

[33]  Z. Zhu,et al.  Instantaneous magnetic field distribution in brushless permanent magnet DC motors. I. Open-circuit field , 1993 .

[34]  Thierry Lubin,et al.  A review of subdomain modeling techniques in electrical machines: Performances and applications , 2016, 2016 XXII International Conference on Electrical Machines (ICEM).

[35]  Z. Zhu,et al.  An Accurate Subdomain Model for Magnetic Field Computation in Slotted Surface-Mounted Permanent-Magnet Machines , 2010, IEEE Transactions on Magnetics.

[36]  Zi-Qiang Zhu,et al.  Electrical Machines and Drives for Electric, Hybrid, and Fuel Cell Vehicles , 2007, Proceedings of the IEEE.

[37]  Z. Zhu,et al.  Instantaneous magnetic field distribution in brushless permanent magnet DC motors. II. Armature-reaction field , 1993 .

[38]  Jere Kolehmainen Optimal Dovetail Permanent Magnet Rotor Solutions for Various Pole Numbers , 2010, IEEE Transactions on Industrial Electronics.