Abstract:In this study, the equivalent boundary method is applied for modelling of the air gap flux density in the eccentric surface-mounted permanent magnet (PM) machines. In the presented model, neither conformal transformations nor perturbation analysis methods are applied. In this approach, a two-dimensional Poisson solution for the eccentric PM machines is developed. Therefore, the proposed model is simple, precise and efficient. To make the solution of the Poisson equation in the eccentric air gap easy, the conce… Show more
“…The associate editor coordinating the review of this manuscript and approving it for publication was Jenny Mahoney. and clear physical concepts [5]- [9]. The free rotation of the rotor can be achieved without the constraint of meshing.…”
Eccentric magnetic harmonic gears (EMHG) can achieve high speed ratio transmission and large torque output by modulating the air gap length between permanent magnets (PM). The analytical method is based on the boundary perturbation method. The vector magnetic potential perturbation equation in the air gap region is established, and the general solution is obtained using the boundary conditions. According to the superposition principle, the air gap flux density of stator and rotor PMs acting alone is synthesized, and the electromagnetic torque and unbalanced magnetic pull are calculated. Last, we compare magnetic field distributions, electromagnetic torque and unbalanced magnetic pull computed by the analytical method with those obtained from finite-element method (FEM). INDEX TERMS Eccentric magnetic harmonic gear, analytical method, magnetic field, electromagnetic torque, FEM.
“…The associate editor coordinating the review of this manuscript and approving it for publication was Jenny Mahoney. and clear physical concepts [5]- [9]. The free rotation of the rotor can be achieved without the constraint of meshing.…”
Eccentric magnetic harmonic gears (EMHG) can achieve high speed ratio transmission and large torque output by modulating the air gap length between permanent magnets (PM). The analytical method is based on the boundary perturbation method. The vector magnetic potential perturbation equation in the air gap region is established, and the general solution is obtained using the boundary conditions. According to the superposition principle, the air gap flux density of stator and rotor PMs acting alone is synthesized, and the electromagnetic torque and unbalanced magnetic pull are calculated. Last, we compare magnetic field distributions, electromagnetic torque and unbalanced magnetic pull computed by the analytical method with those obtained from finite-element method (FEM). INDEX TERMS Eccentric magnetic harmonic gear, analytical method, magnetic field, electromagnetic torque, FEM.
“…developed an approach to model the air gap flux density of surfacemounted PM motor under eccentricity through the equivalent boundary method [18]. In [19], the no-load magnetic field under static, dynamic, and mixed eccentricity of slotless brushless PM motor were analysed and calculated.…”
Section: Introductionmentioning
confidence: 99%
“…However, the effects of SE circumferential angles, which distort the air gap magnetic field and back-EMF severely, are always neglected. (iii) Most of the eccentric diagnosis methods can only be realised through complicated post-processing of measurement data in [18][19][20][21] or additional devices in [22][23][24]. As a result, the eccentricity fault cannot be diagnosed quickly or directly or at a low cost.…”
Section: Introductionmentioning
confidence: 99%
“…Kim and Lieu [16, 17] used the perturbation method to consider the magnetic field distribution of PM motor with rotor eccentricity under the condition of slotless and slotted, respectively. Jalali et al developed an approach to model the air gap flux density of surface‐mounted PM motor under eccentricity through the equivalent boundary method [18]. In [19], the no‐load magnetic field under static, dynamic, and mixed eccentricity of slotless brushless PM motor were analysed and calculated.…”
Section: Introductionmentioning
confidence: 99%
“…8,9,10,11,17,18,19,20,26,27 B w = 2, 3, 4,5,11,12,13,14,20,21,22,23 C w= 5, 6, 7, 8, 14, 15, 16, 17, 23, 24, 25, 26 …”
An eccentric position diagnosis method of static eccentricity (SE) fault of external rotor permanent magnet synchronous motor (ER‐PMSM) is presented. Firstly, an analytical model of no‐load radial magnetic field of ER‐PMSM is established. Analytical models of no‐load Back‐EMF of both unit motors and the whole motor are carried out and are verified by finite element method (FEM) and experimental measurements. Then, the influences of SE ratio, SE circumferential angle, winding distribution mode and number of parallel branches on no‐load radial magnetic field and no‐load Back‐EMF are analyzed based on these analytical models. The results show that SE does not affect the frequency characteristics of no‐load radial magnetic field, but changes space order characteristics. On one hand, for ER‐PMSM, of which the number of unit motors is equal to 1, SE causes no‐load Back‐EMF distortion. On the other hand, for ER‐PMSM, of which the number of unit motors is greater than 1, SE does not affect no‐load Back‐EMF of the whole motor, but it still leads to no‐load Back‐EMF distortion of unit motors. Therefore, based on total harmonic distortion (THD) of no‐load Back‐EMF of unit motor, a projection method of intersection lines for SE fault diagnosis of ER‐PMSM is proposed finally.
In this work, the electromagnetic torque and the unbalanced magnetic force (UMF) in eccentric consequent pole PM (CPPM) machines are investigated. For this investigation, in the first part of the paper, an exact analytical model is provided for the CPPM machine by solving the Poisson equation in the eccentric and salient air gap. In the analytical modelling process, the concept of equivalent magnetizing current (EMC), the subdomain technique, and a bilinear transformation are applied. The obtained model is verified by means of FEA. In the second part of the paper, by using the developed model, the relationship between the machine electromagnetic torque and the UMF to the d‐ and q‐axis components of the armature current is studied. It is shown that in CPPM machines, the influence of the q‐axis current on the electromagnetic torque is much higher than the effect of the d‐axis current. On the other hand, the eccentric machine UMF is strongly dependent on the d‐axis armature current while the variation of the UMF due to the changes in the q‐axis current is small. Therefore, in eccentric CPPM machines, UMF could be suppressed by injecting a negative d‐axis armature current (flux weakening).
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