© The Institution of Engineering and Technology
The study is aimed at a lumped circuit-based sizing of tubular-linear synchronous machines (T-LSMs) equipped by quasi-Halbach magnetised PMs in the mover. The proposed approach is initiated by the synthesis the T-LSM lumped circuit, taking into account: (i) the saturation of the magnetic circuit, (ii) the leakage fluxes, (iii) the armature magnetic reaction, and (iv) the variation of the mover position. Then, formulations of different no-load and load operation features are derived in terms of selected variables yielded by the proposed lumped circuit. Among these features, the main value of the developed force is selected as a sizing criterion whose variation with respect to different influent design parameters is investigated along with the armature current density. The lumped circuit-based sizing approach enables the selection of a set of appropriate design parameters for which the formulated no-load and load operation features are predicted. A dual validation of the obtained results by an analytical model based on the air gap flux density formulation on one hand, and a 2D finite element analysis on the other hand, proves the effectiveness of the proposed sizing approach.
References
-
-
1)
-
24. Zouaghi, M.W., Abdennadher, I., Masmoudi, A.: ‘Characterization of the no-load operation of quasi-Halbach PM excited T-LSMs’. Proc. 2015 Int. Conf. on Sustainable Mobility Applications, Renewables and Technology (SMART), Kuwait, November 2015.
-
2)
-
27. Bash, M.L., Williams, J.M., Pekarek, S.D.: ‘Incorporating motion in mesh-based magnetic equivalent circuits’, IEEE Trans. Energy Convers., 2010, 25, (2), pp. 329–338 (doi: 10.1109/TEC.2009.2035513).
-
3)
-
13. Zhang, J., Yu, H., Chen, Q., et al: ‘Design and experimental analysis of AC linear generator with Halbach PM arrays for direct-drive wave energy conversion’, IEEE Trans. Appl. Supercond., 2014, 24, (3), pp. 1–4.
-
4)
-
26. Sheikh-Ghalavand, B., Vaez-Zadeh, S., Isfahani, A.H.: ‘An improved magnetic equivalent circuit model for iron-core linear permanent-magnet synchronous Motors’, IEEE Trans. Magn., 2010, 46, (1), pp. 112–120 (doi: 10.1109/TMAG.2009.2030674).
-
5)
-
20. Severson, E., Nilssen, R., Undeland, T., et al: ‘Magnetic equivalent circuit modeling of the AC homopolar machine for flywheel energy storage’, IEEE Trans. Energy Convers., 2015, 30, (4), pp. 1670–1678 (doi: 10.1109/TEC.2015.2441040).
-
6)
-
10. Bode, C., Schillingmann, H., Henke, M.: ‘A free-piston PM linear generator in vernier topology using quasi-Halbach-excitation’. Proc. of Inter. Conf. on Electrical Machines, Berlin, Germany, September 2014, pp. 1950–1955.
-
7)
-
18. Fleming, F.E., Edrington, C.S.: ‘Real-time emulation of switched reluctance machines via magnetic equivalent circuits’, IEEE Trans. Ind. Electron., 2016, 63, (6), pp. 3366–3376 (doi: 10.1109/TIE.2016.2521343).
-
8)
-
6. Boldea, I.: ‘Linear electric machines, drives, and MAGLEVs handbook. Chapter 13: Tubular linear permanent magnet synchronous motors’ (CRC Press, Taylor and Francis Group, New York, USA, 2013), pp. 331–368.
-
9)
-
9. Gysen, B.L.J., Lomonova, E.A., Paulides, J.J.H., et al: ‘Analytical and numerical techniques for solving Laplace and Poisson equations in a tubular permanent magnet actuator: Schwarz-Christoffel mapping’, IEEE Trans. Magn., 2008, 44, (7), pp. 1761–1767 (doi: 10.1109/TMAG.2008.923438).
-
10)
-
21. Wang, R., Pekarek, S., Bash, M.L., et al: ‘Incorporating dynamics in a mesh-based magnetic equivalent circuit model of synchronous machines’, IEEE Trans. Energy Convers., 2015, 30, (3), pp. 821–832 (doi: 10.1109/TEC.2015.2403773).
-
11)
-
5. Sadeghi, S., Parsa, L.: ‘Multiobjective design optimization of five-phase Halbach array permanent-magnet machine’, IEEE Trans. Magn., 2011, 47, (6), pp. 1658–1666 (doi: 10.1109/TMAG.2011.2106217).
-
12)
-
2. Halbach, K.: ‘Design of permanent magnet multipole magnets with oriented rare earth cobalt material’, Nucl. Instrum. Methods, 1980, 169, (1), pp. 1–10 (doi: 10.1016/0029-554X(80)90094-4).
-
13)
-
19. Jeong, J.-H., Ha, C.-W., Lim, J., et al: ‘Analysis and control of the electromagnetic coupling effect of the levitation and guidance systems for a semi-high-speed MAGLEV using a magnetic equivalent circuit’, IEEE Trans. Magn., 2016, 52, (7), p. 8300104 (doi: 10.1109/TMAG.2015.2506681).
-
14)
-
3. Zhu, Z.Q.: ‘Recent development of Halbach permanent magnet machines and applications’. Proc. of Power Conversion Conf., Nagoya, Japan, April 2007, pp. K-9–K-16.
-
15)
-
16. Ilhan, E., Motoasca, T.E., Paulides, J.J.H., et al: ‘Energy conversion loops for flux-switching PM machine analysis’, Eng. Technol. Appl. Sci. Res., 2012, 2, (5), pp. 285–290.
-
16)
-
14. Ho, S.L., Wang, Q., Niu, Sh., et al: ‘A novel magnetic-geared tubular linear machine with Halbach permanent-magnet arrays for tidal energy conversion’, IEEE Trans. Magn., 2015, 51, (11), pp. 1–4.
-
17)
-
22. Benlamine, R., Hamiti, T., Vangraefschèpe, F., et al: ‘Modeling of a coaxial magnetic gear equipped with surface mounted PMs using nonlinear adaptive magnetic equivalent circuits’. Proc. Int. Conf. on Electrical Machines (ICEM), Lausanne, Switzerland, September 2016.
-
18)
-
11. Xia, C., Guo, L., Wang, H.: ‘Modeling and analyzing of magnetic field of segmented Halbach array permanent magnet machine considering gap between segments’, IEEE Trans. Magn., 2014, 50, (12), (doi: 10.1109/TMAG.2014.2336835).
-
19)
-
15. Curti, M., Paulides, J.J.H., Lomonova, E.A.: ‘An overview of analytical methods for magnetic field computation’. Proc. of the Tenth Int. Conf. on Ecological Vehicles and Renewable Energies (EVER), Monte-Carlo, Monaco, March–April 2015.
-
20)
-
25. Ibala, A., Masmoudi, A.: ‘Accounting for the armature magnetic reaction and saturation effects in the reluctance model of a new concept of claw-pole alternator’, IEEE Trans. Magn., 2010, 46, (11), pp. 3955–3961 (doi: 10.1109/TMAG.2010.2055882).
-
21)
-
12. Wang, J., Howe, D.: ‘Tubular modular permanent-magnet machines equipped with quasi-Halbach magnetized magnets—part II: armature reaction and design optimization’, IEEE Trans. Magn., 2005, 41, (9), pp. 2479–2489 (doi: 10.1109/TMAG.2005.854327).
-
22)
-
4. Wang, J., Howe, D.: ‘Tubular modular permanent-magnet machines equipped with quasi-Halbach magnetized magnets-part I: magnetic field distribution, EMF, and thrust force’, IEEE Trans. Magn., 2005, 41, (9), pp. 2470–2478 (doi: 10.1109/TMAG.2005.854328).
-
23)
-
23. Peng, W., Gyselinck, J.: ‘Magnetic-equivalent-circuit modelling of switched reluctance machines with mutual coupling effects’. Proc. Int. Conf. on Electrical Machines (ICEM), Lausanne, Switzerland, September 2016.
-
24)
-
1. Bode, C., Schillingmann, H., Henke, M.: ‘A free-piston PM linear generator in vernier topology using quasi-Halbach-excitation’. Proc. 2014 Int. Conf. on Electrical Machines (ICEM), Berlin, Germany, September 2014, pp. 1950–1955.
-
25)
-
7. Krop, D.C.J., Lomonova, E.A., Vandenput, A.J.A.: ‘Application of Schwarz-Christoffel mapping to permanent-magnet linear motor analysis’, IEEE Trans. Magn., 2008, 44, (3), pp. 352–359 (doi: 10.1109/TMAG.2007.914513).
-
26)
-
8. Bianchi, N.: ‘Analytical computation of magnetic fields and thrust in a tubular PM linear servo motor’. Proc. of the IEEE Industry Applications Society Annual Meeting, Rome, Italy, October 2000.
-
27)
-
4. Jin, P., Fang, S., Lin, H., et al: ‘Analytical magnetic field analysis and prediction of cogging force and torque of a linear and rotary permanent magnet actuator’, IEEE Trans. Magn., 2011, 47, (10), pp. 3004–3007 (doi: 10.1109/TMAG.2011.2156762).
-
28)
-
17. Tang, Y., Paulides, J.J.H., Lomonova, E.A.: ‘Automated design of DC-excited flux-switching in-wheel motor using magnetic equivalent circuits’, IEEE Trans. Magn., 2015, 51, (4), p. 8103411.
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