Abstract
The permanent magnet linear synchronous motor (PMLSM) feed system realizes the direct drive. All the intermediate mechanical transmission parts are canceled and then the motor mover is directly connected with the driven components. The interaction between servo system and mechanical system becomes more close and complex, affecting the dynamic performance of the direct-driven feed system. In this paper, the dynamic characteristics of the drive circuit, PMLSM, control loops, and mechanical system are analyzed, and then an electromechanical integrated modeling method for the direct-driven feed system is proposed. Firstly, the dynamic precision of the feed system and electromechanical analytical model is studied. Then the nonlinearities of the drive circuit and PMLSM are researched. The analytical expression of the motor thrust is derived. What is more, the mechanical dynamic model is set up using the Lagrange equation and the main forms of the vibrations are discussed. Finally, the electromechanical integrated model is established and the experiments are carried out to verify the theoretical results. The results show that the proposed integrated modeling method can accurately represent the dynamic precision of the direct-driven feed system, which can provide the theoretical foundation for analyzing the electromechanical couplings and compensation methods.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Pritschow G, Philipp W (1990) Direct drives for high-dynamic machine tool axes. Ann CIRP 39(1):413–416
Altintas Y, Verl A, Brecher C, Uriarte L, Pritschow G (2011) Machine tool feed drives. CIRP Ann Manuf Technol 60(2):779–796
Villegas FJ, Hecker RL, Pena ME, Vicente DA, Flores GM (2014) Modeling of a linear motor feed drive including pre-rolling friction and a periodic cogging and ripple. Int J Adv Manuf Technol 73(1):267–277
Tavana NR, Shoulaie A (2011) Pole-shape optimization of permanent magnet linear synchronous motor for reduction of thrust ripple. Energy Convers Manag 52(1):349–354
Chang J, Kang DH, Viorel I (2007) Transverse flux reluctance linear motor’s analytical model based on finite element method analysis results. IEEE Trans Magn 43(4):1201–1204
Yang XJ, Lu D, Ma CF, Zhang J, Zhao WH (2017) Analysis on the multi-dimensional spectrum of thrust force for the linear motor feed drive system in machine tools. Mech Syst Signal Process 82:68–79
Zhao SW, Cheung NC, Gan WC (2008) An effective modeling and control strategy for linear switched reluctance motors. Proc Inst Mech Eng C J Mech Eng Sci 222(11):2111–2121
Zeng LZ, Chen XD, Li X, Jiang W, Luo X (2015) A thrust force analysis method for permanent magnet linear motor using Schwarz-christoffel mapping and considering slotting effect, end effect and magnet shape. IEEE Trans Magn 51(9):609–617
Hor PJ, Zhu ZQ, Howe D (1998) Minimization of cogging force in a linear permanent magnet motor. IEEE Trans Magn 34(5):3544–3547
Bazghaleh AZ, Naghashan MR, Mahmodimanesh H, Meshkatoddini MR (2010) Effective design parameters on the end effect in single-sided linear induction motors. World Acad Sci Eng Technol 40:95–100
Yang XJ, Lu D, Zhang J, Zhao WH (2015) Dynamic electromechanical coupling resulting from the air-gap fluctuation of the linear motor in machine tools. Int J Mach Tools Manuf 94:100–108
Yang XJ, Lu D, Zhang J, Zhao WH (2015) Investigation on the displacement fluctuation of the linear motor feed system considering the linear encoder vibration. Int J Mach Tools Manuf 98:33–40
Huang WL, Kuo FC, Chou SC, Yen JY, Tsai IH, Chung TT, Hung CW (2017) High performance and high precision servo control of a single deck dual axis PMLSM stage. Int J Adv Manuf Technol 90(1):865–874
Yan MT, Huang KY, Shiu YJ, Chen Y (2007) Disturbance observer and adaptive controller design for a linear motor driven table system. Int J Adv Manuf Technol 35(3):408–415
Zhou YF, Song B, Chen XD (2006) Position/force control with a lead compensator for PMLSM drive system. Int J Adv Manuf Technol 30(11):1084–1092
Altintas Y, Okwudire CE (2009) Dynamic stiffness enhancement of direct-driven machine tools using sliding mode control with disturbance recovery. CIRP Ann Manuf Technol 58(1):335–338
Lee JH, Lee SK (2004) Chucking compliance compensation with a linear motor-driven tool system. Int J Adv Manuf Technol 23(1):102–109
Zhang DL, Chen YP, Ai W, Zhou ZD (2007) Precision motion control of permanent magnet linear motors. Int J Adv Manuf Technol 35(3):301–308
Elfizy AT, Bone GM, Elbestawi MA (2004) Model-based controller design for machine tool direct feed drives. Int J Mach Tools Manuf 44(5):465–477
Yan MT, Cheng TH (2009) High accuracy motion control of linear motor driven wire-EDM machine. Int J Adv Manuf Technol 40(9):918–928
Zhu YW, Cho YH (2007) Thrust ripples suppression of permanent magnet linear synchronous motor. IEEE Trans Magn 43(6):2537–2539
Kim MS, Chung SC (2005) Chung. A systematic approach to design high-performance feed drive systems. Int J Mach Tools Manuf 45:1421–1435
Im H, Yoo HH, Chung J (2011) Dynamic analysis of a BLDC motor with mechanical and electromagnetic interaction due to air gap variation. J Sound Vib 330:1680–1691
Neugebauer R, Denkena B, Wegener K (2007) Mechatronic systems for machine tools. CIRP Ann Manuf Technol 56(2):657–686
Weck M, Krueger P, Brecher P (2001) Limits for controller settings with electric linear direct drives. Int J Mach Tools Manuf 41(1):65–88
Yang XJ, Ma CF, Li Y, Lu D, Zhao WH (2016) A novel evaluation method on the precision of linear motor feed system in high-speed machine tools. Mater Sci Forum 836-837:220–227
Youshihiro M, Tomofumi W, Harumitu I (1987) Waveform distortion and correction circuit for PWM inverters with switching lag-times. IEEE Trans Ind Appl IA23(5):881–886
Arahal MR, Barrero F, Ortega MG, Martin C (2016) Harmonics analysis of direct digital control of voltage inverters. Math Comput Simul 130:155–166
Subsingha W (2016) A comparative study of sinusoidal PWM and third harmonics injected PWM reference signal on five level diode clamp inverter. Energy Procedia 89:137–148
Wang XH, Li QF, Wang SH (2003) Analytical calculation of no-load air-gap magnetic field and back electromotive force in brushless dc motor. Proc CSEE 23(3):126–130
Yang XJ, Lu D, Zhao WH (2017) Decoupling and effects of the mechanical vibration on the dynamic precision for the direct-driven machine tool. Int J Adv Manuf Technol 9:1–16
Funding
This work is financially supported by the key project of the National Natural Science Funds (grant no. 51235009).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yang, X., Lu, D., Liu, H. et al. Electromechanical integrated modeling and analysis for the direct-driven feed system in machine tools. Int J Adv Manuf Technol 98, 1591–1604 (2018). https://doi.org/10.1007/s00170-018-2186-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-018-2186-4