In this paper, we propose an order reduction method which can be applied in the approximated analytical model for linear permanent magnet machines (LPMMs). The proposed model takes the periodic boundary condition into account the Poisson and Laplace equations, hence, the analytical solution requires low harmonic orders in each subdomain. The magnetic results show that the proposed model can maintain high accuracy while taking low computational time. 2D finite element computations, as well as measurements, validate the proposed model. The proposed model in this paper can also be further applied in permanent magnet machines with high pole and slot combination, to reduce the computational time.
ZhaoW.ChengM.JiJ.CaoR.DuY. and LiF., Design and analysis of a new fault-tolerant linear permanent-magnet motor for maglev transportation applications, IEEE Transactions on Applied Superconductivity22(3) (2012), 5200204–5200204, doi:10.1109/TASC.2012.2185209.
2.
ChanT.-F. and LaiL.L., Permanent-magnet machines for distributed power generation: A review, in: 2007 IEEE Power Engineering Society General Meeting, 2007, pp. 1–6. doi:10.1109/PES.2007.385575.
3.
WangJ.WangW. and AtallahK., A linear permanent-magnet motor for active vehicle suspension, IEEE Transactions on Vehicular Technology60(1) (2011), 55–63, doi:10.1109/TVT.2010.2089546.
4.
LiuG.ZhongH.XuL. and ZhaoW., Analysis and evaluation of a linear primary permanent magnet vernier machine with multiharmonics, IEEE Transactions on Industrial Electronics68(3) (2021), 1982–1993, doi:10.1109/TIE.2020.2973888.
5.
FarrokO.IslamMd.R.Islam SheikhMd.R.GuoY.ZhuJ. and LeiG., Oceanic wave energy conversion by a novel permanent magnet linear generator capable of preventing demagnetization, IEEE Transactions on Industry Applications54(6) (2018), 6005–6014, doi:10.1109/TIA.2018.2863661.
6.
GuoB.HuangY.PengF. and DongJ., General analytical modeling for magnet demagnetization in surface mounted permanent magnet machines, IEEE Transactions on Industrial Electronics66(8) (2019), 5830–5838, doi:10.1109/TIE.2018.2873099.
7.
SouissiA.ZouaghiM.W.AbdennadherI. and MasmoudiA., MEC-based modeling and sizing of a tubular linear PM synchronous machine, IEEE Transactions on Industry Applications51(3) (2015), 2181–2194, doi:10.1109/TIA.2014.2382765.
8.
ZengL.ChenX.LiX.JiangW. and LuoX., A thrust force analysis method for permanent magnet linear motor using Schwarz–Christoffel mapping and considering slotting effect, end effect, and magnet shape, IEEE Transactions on Magnetics51(9) (2015), 1–9, doi:10.1109/TMAG.2015.2432151.
9.
GuoR.YuH.XiaT.ShiZ.ZhongW. and LiuX., A simplified subdomain analytical model for the design and analysis of a tubular linear permanent magnet oscillation generator, IEEE Access6 (2018), 42355–42367, doi:10.1109/ACCESS.2018.2859021.
10.
LiuG.DingL.ZhaoW.ChenQ. and JiangS., Nonlinear equivalent magnetic network of a linear permanent magnet vernier machine with end effect consideration, IEEE Transactions on Magnetics54(1) (2018), 1–9, doi:10.1109/TMAG.2017.2751551.
11.
ShinK.-H.KimK.-H.HongK. and ChoiJ.-Y., Detent force minimization of permanent magnet linear synchronous machines using subdomain analytical method considering auxiliary teeth configuration, IEEE Transactions on Magnetics53(6) (2017), 1–4, doi:10.1109/TMAG.2017.2664063.
12.
ShinK.-H.ParkH.-I.LeeS.-H. and ChoiJ.-Y., Armature reaction field and inductance calculations for a permanent magnet linear synchronous machine based on subdomain model, in: 2016 IEEE Conference on Electromagnetic Field Computation (CEFC), 2016, pp. 1–1. doi:10.1109/CEFC.2016.7816099.
13.
LuQ.WuB.YaoY.ShenY. and JiangQ., Analytical model of permanent magnet linear synchronous machines considering end effect and slotting effect, IEEE Transactions on Energy Conversion35(1) (2020), 139–148, doi:10.1109/TEC.2019.2946278.
14.
HuH.ZhaoJ.LiuX. and GuoY., Magnetic field and force calculation in linear permanent-magnet synchronous machines accounting for longitudinal end effect, IEEE Transactions on Industrial Electronics63(12) (2016), 7632–7643, doi:10.1109/TIE.2016.2594793.
15.
HuH.ZhaoJ.LiuX.GuoY. and ZhuJ., No-load magnetic field and cogging force calculation in linear permanent-magnet synchronous machines with semiclosed slots, IEEE Transactions on Industrial Electronics64(7) (2017), 5564–5575, doi:10.1109/TIE.2016.2645509.
16.
GuoR.YuH. and GuoB., Analysis of a tubular linear permanent magnet oscillator with auxiliary teeth configuration for energy conversion system, IEEE Transactions on Transportation Electrification (2020), 1–1, doi:10.1109/TTE.2020.2977209.
17.
GuoB.HuangY.PengF.DongJ. and LiY., Analytical modeling of misalignment in axial flux permanent magnet machine, IEEE Transactions on Industrial Electronics67(6) (2020), 4433–4443, doi:10.1109/TIE.2019.2924607.
18.
HuH.ZhaoJ.LiuX.GuoY. and ZhuJ., No-load magnetic field and cogging force calculation in linear permanent-magnet synchronous machines with semiclosed slots, IEEE Transactions on Industrial Electronics64(7) (2017), 5564–5575, doi:10.1109/TIE.2016.2645509.
19.
ZarkoD.BanD. and LipoT. A., Analytical calculation of magnetic field distribution in the slotted air gap of a surface permanent-magnet motor using complex relative air-gap permeance, IEEE Transactions on Magnetics42(7) (2006), 1828–1837, doi:10.1109/TMAG.2006.874594.
20.
HuH.ZhaoJ.LiuX. and GuoY., Magnetic field and force calculation in linear permanent-magnet synchronous machines accounting for longitudinal end effect, IEEE Transactions on Industrial ElectronicsPP(99) (2016), 1–1, doi:10.1109/TIE.2016.2594793.
