Analytical Sub-Domain Model for Magnetic Field Computation in Segmented Permanent Magnet Switched Flux Consequent Pole Machine

Computational complexity, magnetic saturation, complex stator structure and time consumption due to repeated iteration compels researchers to adopt alternate analytical model for initial design of electric machines especially Switched Flux Machine (SFM). To overcomes the abovesaid demerits, In this article alternate analytical sub-domain model (SDM) for magnetic field computation in Segmented PM switched flux consequent pole machine (SPMSFCPM) with flux bridge and flux barriers accounting boundary and interface conditions, radial magnetized PMs (RM-PMs) and circumferential magnetized PMs (CM-PMs), interaction between stator slots and inner/outer rotor topologies is proposed. Overall field domain is divided into air gap, stator slots and Permanent Magnet (PM) accounting influence of CM/RM-PMs under no-load and on-load conditions. Analytical expression of field domain is obtained by solving magnetic vector potential utilizing Maxwell’s equations. Based on the magnetic field computation especially no-load and on-load condition, Magnetic Flux Density (MFD) components, open-circuit flux linkage, mechanical torque and cogging torque are computed utilizing Maxwell Stress Tensor (MST) method. Moreover, developed analytical SDM is validated with globally accepted Finite Element Analysis (FEA) utilizing JMAG Commercial FEA Package v. 18.1 which shows good agreement with accuracy of ~98%. Hence, authors are confident to propose analytical SDM for initial design of SPMSFCPM to suppress computation time and complexity and eliminate requirements of expensive hardware and software tools.

[1]  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).

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

[3]  E. A. Lomonova,et al.  Magnetic Saturation in Semi-Analytical Harmonic Modeling for Electric Machine Analysis , 2016, IEEE Transactions on Magnetics.

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

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

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

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

[8]  C. Trowbridge,et al.  The Analytical and Numerical Solution of Electric and Magnetic Fields , 1992 .

[9]  Johannes J. H. Paulides,et al.  General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis , 2010, IEEE Transactions on Magnetics.

[10]  E. A. Lomonova,et al.  Analytical Surface Charge Method for Rotated Permanent Magnets: Boundary Element Method Comparison and Experimental Validation , 2016, IEEE Transactions on Magnetics.

[11]  Dcj Davy Krop,et al.  Integration of dual electromagnetic energy conversions : linear actuation with integrated contactless energy transfer , 2013 .

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

[13]  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.

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

[15]  Ching Chuen Chan,et al.  Overview of Permanent-Magnet Brushless Drives for Electric and Hybrid Electric Vehicles , 2008, IEEE Transactions on Industrial Electronics.

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

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

[18]  Georges Barakat,et al.  Comparison of hybrid analytical modelling and reluctance network modelling for pre-design purposes , 2016, Math. Comput. Simul..

[19]  Z. Zhu,et al.  Improved analytical model for predicting the magnetic field distribution in brushless permanent-magnet machines , 2002 .

[20]  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.

[21]  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.

[22]  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.

[23]  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.

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

[25]  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.

[26]  P. Krein,et al.  The Schwarz-Christoffel Analytical Method Applied to Electric Machine Slot Shape Optimization , 2007, 2007 IEEE International Electric Machines & Drives Conference.

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