Journal of Electrical Engineering and Technology

The Korean Institute of Electrical Engineers (대한전기학회)
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A Sensing System of the Halbach Array Permanent Magnet Spherical Motor Based on 3-D Hall Sensor

  • Li, Hongfeng (Dept. of Electrical Engineering and Automation, Tianjin University) ;
  • Liu, Wenjun (Dept. of Electrical Engineering and Automation, Tianjin University) ;
  • Li, Bin (Dept. of Electrical Engineering and Automation, Tianjin University)
  • Received : 2017.05.11
  • Accepted : 2017.10.24
  • Published : 2018.01.01
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Abstract

This paper proposes a sensing system of the Halbach array permanent magnet spherical motor(PMSM). The rotor position can be obtained by solving three rotation angles, which revolves around 3 reference axes of the stator. With the development of 3-D hall sensor, the position identification problem of the Halbach array PMSM based on rotor magnetic field is studied in this paper. A nonlinear and serious coupling relationship between the rotation angles and the measured magnetic flux density is established on the basis of the rotation transformation theory and the magnetic field model. In order to get rid of the influence on position detection caused by the harmonics of rotor magnetic field and the stator coil magnetic field, a sensor location combination scheme is proposed. In order to solve the nonlinear equation fast and accurately, a new position solution algorithm which combines the merits of gradient projection and particle swarm optimization(PSO) is presented. Then the rotation angles are obtained and the rotor position is identified. The validity of the sensing system is verified through the simulation.

Keywords

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Fig. 1 The schematic diagram of the 3 DOF motion

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Fig. 2 The sketch map of positioning

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Fig. 3 The magnetic field of the stator coil with distance rvaries

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Fig. 4 The comparison of rotor magnetic field between themain magnetic field sensor and the auxiliarymagnetic field sensor 1

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Fig. 5 The comparison of rotor magnetic field between themain magnetic field sensor and the auxiliarymagnetic field sensor 1,2

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Fig. 6 The installation location map of the main magneticfield sensor and the auxiliary magnetic field sensors

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Fig. 7 The comparison of rotor magnetic field betweenthe main magnetic field sensor and the auxiliarymagnetic field sensor 1,2

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Fig. 8 The comparison of rotation angles solved bygradient projection and actual rotation angles

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Fig. 9 The relationship between the computing time of thegradient projection algorithm and the initial point’sfitness

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Fig. 10 Iterative process

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Fig. 11 Simulation diagram of position sensing system

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Fig. 12 The comparison of trajectory of desired andtracking with the proposed algorithm

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Fig. 13 3-D FEM of the Halbach array PMSM and theHalbach array magnetization direction

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Fig. 14. Comparison of the magnetic field distributionsobtained by analytical method and FEM method

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Fig. 15 The comparison trajectory of desired and trackingwith the proposed algorithm

Table 1. Performance of proposed algorithm

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Table 2. Structure specifications of PMSM

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References

  1. H. J. Lee, H. J. Park, S. H. Won, G. H. Ryu, and J. Lee, "Improvements of Performance of Multi-DOF Spherical Motor by Doubled Air-gap Feature," JEET, vol. 8, no. 1, pp. 90-96, 2013.
  2. N. Kasashima, K. Ashida, T. Yano, A. Gofuku, and M. Shibata, "Torque Control Method of an Electromagnetic Spherical Motor Using Torque Map," IEEE/ASME Trans. Mechatronics, vol. 21, no. 4, pp. 2050-2060, 2016. https://doi.org/10.1109/TMECH.2016.2541679
  3. M. Hoshina, T. Mashimo, and S. Toyama, "Develop-ment of spherical ultrasonic motor as a camera actuator for pipe inspection robot," in Proc. IEEE int. Conf. Intelligent Robots and Systems, pp. 2379-2384, Dec. 2009.
  4. K. M. Lee and D. Zhou, "A Real-Time Optical Sensor for Simultaneous Measurement of Three-DOF moions," IEEE/ASME Trans. Mechatronics, vol. 9, no. 3, pp. 499-507, 2004. https://doi.org/10.1109/TMECH.2004.834642
  5. Y. Oner, E. Cetin, A.Yilanci, and H. K. Ozturk, "Design and performance evaluation of a photovoltaic suntracking system driven by a three-freedom spherical motor," Int. J. Exergy, vol. 6, no. 6, pp. 853-867, 2009. https://doi.org/10.1504/IJEX.2009.028578
  6. P. M. Wheat, N. A. Marine, J. L. Moran, and J. D. Posner, "Rapid fabrication of bimetallic spherical motors," Langmuir, vol. 26, no. 16, pp. 13052-13055, 2016. https://doi.org/10.1021/la102218w
  7. H. Garner, M. Klement, and K.-M. Lee, "Design and analysis of an absolute non-contact orientation sensor for wrist motion control," in Proc. IEEE int. Conf. Adv. Intell. Mechatronics, pp. 69-74, July 2001.
  8. S. H. Foong, K. M. Lee, and K. Bai, "Magnetic Fieldbased Sensing Method for Spherical Joint," in Proc. IEEE int. Conf. Robotics and Automation, pp. 5447- 5452, May 2010.
  9. J. J. Guo, C. Bak and H. Son, "Design of a Sensing System for a Spherical Motor Based on Hall Effect Sensors and Neural Networks," in Proc. IEEE int. Conf. Advanced Intelligent Mechatronics, pp. 1410-1414, July 2015.
  10. H. Kawano, H. Ando, T. Hirahara, C. Yun and S. Ueha, "Application of a multi-DOF ultrasonic servo-motor in an auditory tele-existence robot," IEEE Trans. Robotics, vol. 21, no. 6, pp. 790-800, 2005. https://doi.org/10.1109/TRO.2005.851372
  11. P. Malcovati and F. Maloberti, "An Integrated Microsystem for 3-D Magnetic Field Measurements," IEEE Trans. Instrumentation and Measurement, vol. 49, no. 2, pp. 341-345, 2000. https://doi.org/10.1109/19.843075
  12. D. X. CHEN, M. C. PAN, F. L. LUO, and W. Zhong, "The Design of a 3D Precision Magnetic Field Measurement System," JTMT, vol. 9, no. 3, pp. 279-282, 2005.
  13. B. Li, C. L. Xia, H. F. Li and Y. Guan, "Study on the Position Identification of a Halbach Array Permanent Magnet Spherical Motor," in Proc. IEEE int. Conf. Robotics and Biomimetics, pp. 2080-2084, Dec. 2007.
  14. H. F. Li, C. L. Xia, P. Song, T. N. Shi, "Magnetic Field Analysis of A Halbach Array PM Spherical Motor," in Proc. IEEE int. Conf. Automation and Logistics, pp. 2019-2023, Aug. 2007.
  15. H. F. Li, C. L. Xia, and T. N. Shi, "Spherical Harmonic Analysis of a Novel Halbach Array PM Spherical Motor," in Proc. IEEE int. Conf. Robotics and Biomimetics, pp. 2085-2089, Dec. 2007.
  16. G. S. Chyan, S.G. Ponnambalam, "Obstacle avoidance control of redundant robots using variants of particle swarm optimization," Journal of Robotics and Computer-Integrated Manufacturing, vol. 28, no. 2, pp. 147-153, 2012.