Fig. 1 The schematic diagram of the 3 DOF motion
Fig. 2 The sketch map of positioning
Fig. 3 The magnetic field of the stator coil with distance rvaries
Fig. 4 The comparison of rotor magnetic field between themain magnetic field sensor and the auxiliarymagnetic field sensor 1
Fig. 5 The comparison of rotor magnetic field between themain magnetic field sensor and the auxiliarymagnetic field sensor 1,2
Fig. 6 The installation location map of the main magneticfield sensor and the auxiliary magnetic field sensors
Fig. 7 The comparison of rotor magnetic field betweenthe main magnetic field sensor and the auxiliarymagnetic field sensor 1,2
Fig. 8 The comparison of rotation angles solved bygradient projection and actual rotation angles
Fig. 9 The relationship between the computing time of thegradient projection algorithm and the initial point’sfitness
Fig. 10 Iterative process
Fig. 11 Simulation diagram of position sensing system
Fig. 12 The comparison of trajectory of desired andtracking with the proposed algorithm
Fig. 13 3-D FEM of the Halbach array PMSM and theHalbach array magnetization direction
Fig. 14. Comparison of the magnetic field distributionsobtained by analytical method and FEM method
Fig. 15 The comparison trajectory of desired and trackingwith the proposed algorithm
Table 1. Performance of proposed algorithm
Table 2. Structure specifications of PMSM
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