Analytical methodologies for design of segmented permanent magnet consequent pole flux switching machine: a comparative analysis

Purpose This paper aims to reviewed analytical methodologies, i.e. lumped parameter magnetic equivalent circuit (LPMEC), magnetic co-energy (MCE), Laplace equations (LE), Maxwell stress tensor (MST) method and sub-domain modelling for design of segmented PM(SPM) consequent pole flux switching machine (SPMCPFSM). Electric machines, especially flux switching machines (FSMs), are accurately modeled using numerical-based finite element analysis (FEA) tools; however, despite of expensive hardware setup, repeated iterative process, complex stator design and permanent magnet (PM) non-linear behavior increases computational time and complexity. Design/methodology/approach This paper reviews various alternate analytical methodologies for electromagnetic performance calculation. In above-mentioned analytical methodologies, no-load phase flux linkage is performed using LPMEC, magnetic co-energy for cogging torque, LE for magnetic flux density (MFD) components, i.e. radial and tangential and MST for instantaneous torque. Sub-domain model solves electromagnetic performance, i.e. MFD and torque behaviour. Findings The reviewed analytical methodologies are validated with globally accepted FEA using JMAG Commercial FEA Package v. 18.1 which shows good agreement with accuracy. In comparison of analytical methodologies, analysis reveals that sub-domain model not only get rid of multiples techniques for validation purpose but also provide better results by accounting influence of all machine parts which helps to reduce computational complexity, computational time and drive storage with overall accuracy of ∼99%. Furthermore, authors are confident to recommend sub-domain model for initial design stage of SPMCPFSM when higher accuracy and low computational cost are primal requirements. Practical implications The model is developed for high-speed brushless AC applications. Originality/value The SPMCPFSM enhances electromagnetic performance owing to segmented PMs configuration which makes it different than conventional designs. Moreover, developed analytical methodologies for SPMCPFSM reduce computational time compared with that of FEA.

[1]  Jung-Pyo Hong,et al.  Three-Dimensional Equivalent Magnetic Circuit Network Method for Precise and Fast Analysis of PM-Assisted Claw-Pole Synchronous Motor , 2018, IEEE Transactions on Industry Applications.

[2]  D. Howe,et al.  Analysis of electromagnetic performance of flux-switching permanent-magnet Machines by nonlinear adaptive lumped parameter magnetic circuit model , 2005, IEEE Transactions on Magnetics.

[3]  E. Lomonova,et al.  Conformal mapping: Schwarz-Christoffel method for flux-switching PM machines , 2012 .

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

[5]  G. Doerk,et al.  Bit-Patterned Magnetic Recording: Theory, Media Fabrication, and Recording Performance , 2015, IEEE Transactions on Magnetics.

[6]  F. Khan,et al.  Comparative Study Between C-Core/E-Core SFPMM with Consequent Pole SFPMM , 2019, 2019 International Symposium on Recent Advances in Electrical Engineering (RAEE).

[7]  Faisal Khan,et al.  Analytical Modelling of Open-Circuit Flux Linkage, Cogging Torque and Electromagnetic Torque for Design of Switched Flux Permanent Magnet Machine , 2018, Journal of Magnetics.

[8]  S. Mezani,et al.  2-D Exact Analytical Model for Surface-Mounted Permanent-Magnet Motors With Semi-Closed Slots , 2011, IEEE Transactions on Magnetics.

[9]  Changsheng Zhu,et al.  Subdomain Model for Predicting Magnetic Field in Slotted Surface Mounted Permanent-Magnet Machines With Rotor Eccentricity , 2012, IEEE Transactions on Magnetics.

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

[11]  Ron Wang,et al.  Incorporating Dynamics in a Mesh-Based Magnetic Equivalent Circuit Model of Synchronous Machines , 2015, IEEE Transactions on Energy Conversion.

[12]  C. Espanet,et al.  Analytical Solution of the Magnetic Field in Permanent-Magnet Motors Taking Into Account Slotting Effect: No-Load Vector Potential and Flux Density Calculation , 2009, IEEE Transactions on Magnetics.

[13]  Faisal Khan,et al.  Lumped parameter magnetic equivalent circuit model for design of segmented PM consequent pole flux switching machine , 2020 .

[14]  E. A. Lomonova,et al.  Hybrid Analytical Modeling: Fourier Modeling Combined With Mesh-Based Magnetic Equivalent Circuits , 2015, IEEE Transactions on Magnetics.

[15]  Faisal Khan,et al.  Magnetic equivalent circuit models using global reluctance networks methodology for design of permanent magnet flux switching machine , 2018, 2018 15th International Bhurban Conference on Applied Sciences and Technology (IBCAST).

[16]  Dahaman Ishak,et al.  A Comprehensive Analytical Subdomain Model and Its Field Solutions for Surface-Mounted Permanent Magnet Machines , 2015, IEEE Transactions on Magnetics.

[17]  Gu Qishan,et al.  Effect of Slotting in Pm Electric Machines , 1985 .

[18]  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.

[19]  Damir Zarko,et al.  Improved method for field analysis of surface permanent magnet machines using Schwarz-Christoffel transformation , 2017 .

[20]  Ronghai Qu,et al.  Analysis of a Novel Consequent-Pole Flux Switching Permanent Magnet Machine With Flux Bridges in Stator Core , 2018, IEEE Transactions on Energy Conversion.

[21]  Z. Q. Zhu,et al.  Analytical On-Load Subdomain Field Model of Permanent-Magnet Vernier Machines , 2016, IEEE Transactions on Industrial Electronics.

[22]  M. Gabsi,et al.  Analytical Approach for Air-Gap Modeling of Field-Excited Flux-Switching Machine: No-Load Operation , 2012, IEEE Transactions on Magnetics.

[23]  Guohai Liu,et al.  A Novel Mesh-Based Equivalent Magnetic Network for Performance Analysis and Optimal Design of Permanent Magnet Machines , 2019, IEEE Transactions on Energy Conversion.

[24]  Sang-Yong Jung,et al.  Reduction on Cogging Torque in Flux-Switching Permanent Magnet Machine by Teeth Notching Schemes , 2012, IEEE Transactions on Magnetics.

[25]  Arne Nysveen,et al.  Analytical design of a high-torque flux-switching permanent magnet machine by a simplified lumped parameter magnetic circuit model , 2010, The XIX International Conference on Electrical Machines - ICEM 2010.

[26]  Faisal Khan,et al.  Analytical validation of novel consequent pole E‐core stator permanent magnet flux switching machine , 2020, IET Electric Power Applications.

[27]  D. Howe,et al.  The influence of finite element discretisation on the prediction of cogging torque in permanent magnet excited motors , 1992 .

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

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

[30]  A. Rahideh,et al.  Analytical Magnetic Field Calculation of Slotted Brushless Permanent-Magnet Machines With Surface Inset Magnets , 2012, IEEE Transactions on Magnetics.

[31]  Z. Q. Zhu,et al.  Analytical modeling of eddy current loss in retaining sleeve of surface-mounted PM machines accounting for influence of slot opening , 2012, 2012 IEEE International Symposium on Industrial Electronics.

[32]  E. Sulaiman,et al.  Influence of Various Rotor Pole on Electromagnetic Performance of Consequent Pole Switched Flux Permanent Magnet Machine , 2019, 2019 International Conference on Electrical, Communication, and Computer Engineering (ICECCE).

[33]  Z. Q. Zhu,et al.  Analytical sub-domain model for predicting open-circuit field of permanent magnet vernier machine accounting for tooth tips , 2016 .

[34]  Faisal Khan,et al.  Analytical Sub-Domain Model for Magnetic Field Computation in Segmented Permanent Magnet Switched Flux Consequent Pole Machine , 2021, IEEE Access.

[35]  Erwan Sulaiman,et al.  Design and Performance of 8Slot-12Pole Permanent Magnet Flux Switching Machines for Electric Bicycle Application , 2017 .

[36]  Faisal Khan,et al.  Sub‐domain modelling and multi‐variable optimisation of partitioned PM consequent pole flux switching machines , 2020, IET Electric Power Applications.

[37]  Johannes J. H. Paulides,et al.  Modeling of Flux Switching Permanent Magnet Machines With Fourier Analysis , 2010, IEEE Transactions on Magnetics.

[38]  G. Olivier,et al.  Magnetic Field Analysis of Surface-Mounted Permanent-Magnet Synchronous Motors Using Analytical and Numerical Conformal Mapping , 2009 .