France



I. Introduction&lt;br/&gt;The multi-tooth flux-switching permanent magnet (PM) (FSPM) machines have attracted wide attention due to the advantages of fewer permanent magnet materials and higher torque density, compared with the conventional FSPM machines[1]. Recently, a 6-stator-coil/17-rotor-pole (6/17) multi-tooth FSPM machine with concentrated windings, namely, the C-multi-tooth FSPM machine, was proposed in paper [2], as shown in Fig 1(a). In this paper, in order to evaluate the electromagnetic performance of the multi-tooth FSPM machines with different winding configurations, the full-pitch windings are adopted as is shown in Figure 1 (b), called the FP-multi-tooth machine.&lt;br/&gt;II. Performance comparisons&lt;br/&gt;In this paper, the electromagnetic performance of the 6/17 multi-tooth machine with different winding configurations is evaluated by finite element analysis (FEA), which is mainly in terms of no-load back EMF, harmonic components, air-gap flux density, cogging torque, electromagnetic torque, etc.&lt;br/&gt;Figure 2(a) shows the no-load phase back-EMF per turn waveforms of the two multi-tooth machines at 1500N/min. It can be seen that the winding configuration has an impact on the amplitude of the back-EMF for the multi-tooth machine. The amplitude of the FP-multi-tooth machine is much larger than the C-multi-tooth one with concentrated windings. Figure 2(b) presents the FFT results of the no-load phase back-EMF waveform of the 6/17 multi-tooth machine shown in Figure 2(a), where it is adopted different winding configurations. The fundamental wave amplitudes are respectively 2.45 V (C-multi-tooth machine) and 4.47V(FP-multi-tooth machine), moreover, the total harmonic distortion (THD) is 2.21%, 1.38%, and that the harmonic components are the same, mainly odd-numbered harmonics. Hence, in terms of the 6/17 multi-tooth FSPM machine, the motor with the full-pitch winding exhibits larger amplitude of the fundamental component than the concentrated winding one, and the THD is slightly smaller. Figure 2 (c) shows the two multi-tooth machines air-gap flux density distribution in the air-gap region of coil A1and A2. Furthermore, for the C-multi-tooth and the FP-multi-tooth machine, the average values of &lt;i&gt;B&lt;sub&gt;rδ &lt;/sub&gt;&lt;/i&gt;are -0.391T and -0.603T respectively, which means the no-load PM fluxes flowing through the coil A1 and A2 of the FP-multi-tooth machine are larger. Correspondingly, its back EMF should be larger than the C-multi-tooth one, since part of the magnetic flux of the C-multi-tooth machine will flow through other phases to form a closed-loop magnetic circuit. Figure 2(d) presents the cogging torque waveforms of the two multi-tooth machines. The result indicates that the cogging torque waveforms phase of two multi-tooth machines is not the same, since their rotor position is different when the peak value of the maximum back EMF is obtained.&lt;br/&gt;To compare the torque performance of the 6/17 multi-tooth machines with different winding configurations, the study is conducted by 2-D-FEA with Flux software under id=0 control, where the slot package factor is &lt;i&gt;k&lt;sub&gt;pf &lt;/sub&gt;&lt;/i&gt;=0.45, as shown in Fig. 2(e) and (f). When the current density is changed from 1A/mm&lt;sup&gt;2&lt;/sup&gt; to 10A/mm&lt;sup&gt;2&lt;/sup&gt;, the FP-multi-tooth machine with full-pitch windings exhibits greater average torque and smaller torque ripples than the C-multi-tooth one. Figure 2(g) shows the electromagnetic torque waveform at the rated current density &lt;i&gt;J&lt;sub&gt;sa&lt;/sub&gt;&lt;/i&gt;=5A/mm&lt;sup&gt;2&lt;/sup&gt;, where the load is 1.0. It can be seen that the average torque of the FP-multi-tooth machine with full-pitch windings (16.8Nm, 4.96%) are greater than that of the C-multi-tooth one (12.7Nm, 11.1%), and that the torque ripple of the FP-multi-tooth machine is smaller than the C-multi-tooth one.&lt;br/&gt;&lt;br/&gt;III. Conclusion&lt;br/&gt;In this paper, the study on the electromagnetic performance of the multi-tooth machine with different winding configuration is conducted by FEA. The results indicate that for the 6/17 multi-tooth FSPM machine, the FP-multi-tooth machine with full-pitch windings exhibits higher no-load phase back EMF, torque density, and smaller harmonic distortion and torque ripple, hence, the FP-multi-tooth machine with full-pitch windings is superior to the multi-tooth one with concentrated windings. A comparative study of other types of multi-tooth machines, such as the 6/10 multi-tooth FSPM machine, will be shown in the full paper.

**References:**

[1]Y. Du, C. Zou,andX. Zhu, &quot;A Full-Pitched Flux-Switching Permanent-Magnet Motor,&quot; in &lt;i&gt;IEEE Transactions on Applied Superconductivity&lt;/i&gt;, vol. 26, no. 4, pp. 1-5, June 2016, Art no. 0604505, doi: 10.1109/TASC.2016.2541308.&lt;br/&gt;[2]G. Zhao and W. Hua, &quot;Comparative Study Between a Novel Multi-Tooth and a V-Shaped Flux-Switching Permanent Magnet Machines,&quot; in &lt;i&gt;IEEE Transactions on Magnetics&lt;/i&gt;, vol. 55, no. 7, pp. 1-8, July 2019, Art no. 8104908, doi: 10.1109/TMAG.2019.2900749.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/49124426790a017123757c7bd3f86a52.jpg)
Fig. 1 Topologies of 6/17 multi-tooth FSPM machines. (a) C-multi-tooth machine. (b) FP-multi-tooth machine.

![](https://assets.underline.io/uploads/markdown_image/1/image/1bb200063963f8258738af158c0e488b.jpg)
Fig. 2 Performance comparisons. (a) Phase back-EMF per turn waveforms at 1500r/min. (b) Harmonics of back-EMF. (c)Radial air-gap flux density&lt;i&gt; B&lt;sub&gt;rδ&lt;/sub&gt; &lt;/i&gt;in the air-gap region of coil A1and A2(d) cogging torque. (e) Electromagnetic torque waveforms versus current densities. (f) Torque ripple waveforms versus current densities. (g) Electromagnetic torque waveforms under &lt;i&gt;J&lt;sub&gt;sa&lt;/sub&gt;&lt;/i&gt;=5A/mm&lt;sup&gt;2&lt;/sup&gt;.

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 Comparative Study of Winding Configuration on a Multi-tooth Flux Switching Permanent Magnet Machine

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I. Introduction The multi-tooth flux-switching permanent magnet (PM) (FSPM) machines have attracted wide attention due to the advantages of fewer permanent magnet materials and higher torque density, compared with the conventional FSPM machines[1]. Recently, a 6-stator-coil/17-rotor-pole (6/17) multi-tooth FSPM machine with concentrated windings, namely, the C-multi-tooth FSPM machine, was proposed in paper [2], as shown in Fig 1(a). In this paper, in order to evaluate the electromagnetic performance of the multi-tooth FSPM machines with different winding configurations, the full-pitch windings are adopted as is shown in Figure 1 (b), called the FP-multi-tooth machine. II. Performance comparisons In this paper, the electromagnetic performance of the 6/17 multi-tooth machine with different winding configurations is evaluated by finite element analysis (FEA), which is mainly in terms of no-load back EMF, harmonic components, air-gap flux density, cogging torque, electromagnetic torque, etc. Figure 2(a) shows the no-load phase back-EMF per turn waveforms of the two multi-tooth machines at 1500N/min. It can be seen that the winding configuration has an impact on the amplitude of the back-EMF for the multi-tooth machine. The amplitude of the FP-multi-tooth machine is much larger than the C-multi-tooth one with concentrated windings. Figure 2(b) presents the FFT results of the no-load phase back-EMF waveform of the 6/17 multi-tooth machine shown in Figure 2(a), where it is adopted different winding configurations. The fundamental wave amplitudes are respectively 2.45 V (C-multi-tooth machine) and 4.47V(FP-multi-tooth machine), moreover, the total harmonic distortion (THD) is 2.21%, 1.38%, and that the harmonic components are the same, mainly odd-numbered harmonics. Hence, in terms of the 6/17 multi-tooth FSPM machine, the motor with the full-pitch winding exhibits larger amplitude of the fundamental component than the concentrated winding one, and the THD is slightly smaller. Figure 2 (c) shows the two multi-tooth machines air-gap flux density distribution in the air-gap region of coil A1and A2. Furthermore, for the C-multi-tooth and the FP-multi-tooth machine, the average values of Brδ are -0.391T and -0.603T respectively, which means the no-load PM fluxes flowing through the coil A1 and A2 of the FP-multi-tooth machine are larger. Correspondingly, its back EMF should be larger than the C-multi-tooth one, since part of the magnetic flux of the C-multi-tooth machine will flow through other phases to form a closed-loop magnetic circuit. Figure 2(d) presents the cogging torque waveforms of the two multi-tooth machines. The result indicates that the cogging torque waveforms phase of two multi-tooth machines is not the same, since their rotor position is different when the peak value of the maximum back EMF is obtained. To compare the torque performance of the 6/17 multi-tooth machines with different winding configurations, the study is conducted by 2-D-FEA with Flux software under id=0 control, where the slot package factor is kpf =0.45, as shown in Fig. 2(e) and (f). When the current density is changed from 1A/mm2 to 10A/mm2, the FP-multi-tooth machine with full-pitch windings exhibits greater average torque and smaller torque ripples than the C-multi-tooth one. Figure 2(g) shows the electromagnetic torque waveform at the rated current density Jsa=5A/mm2, where the load is 1.0. It can be seen that the average torque of the FP-multi-tooth machine with full-pitch windings (16.8Nm, 4.96%) are greater than that of the C-multi-tooth one (12.7Nm, 11.1%), and that the torque ripple of the FP-multi-tooth machine is smaller than the C-multi-tooth one. III. Conclusion In this paper, the study on the electromagnetic performance of the multi-tooth machine with different winding configuration is conducted by FEA. The results indicate that for the 6/17 multi-tooth FSPM machine, the FP-multi-tooth machine with full-pitch windings exhibits higher no-load phase back EMF, torque density, and smaller harmonic distortion and torque ripple, hence, the FP-multi-tooth machine with full-pitch windings is superior to the multi-tooth one with concentrated windings. A comparative study of other types of multi-tooth machines, such as the 6/10 multi-tooth FSPM machine, will be shown in the full paper.

**References:**

[1]Y. Du, C. Zou,andX. Zhu, "A Full-Pitched Flux-Switching Permanent-Magnet Motor," in IEEE Transactions on Applied Superconductivity, vol. 26, no. 4, pp. 1-5, June 2016, Art no. 0604505, doi: 10.1109/TASC.2016.2541308. [2]G. Zhao and W. Hua, "Comparative Study Between a Novel Multi-Tooth and a V-Shaped Flux-Switching Permanent Magnet Machines," in IEEE Transactions on Magnetics, vol. 55, no. 7, pp. 1-8, July 2019, Art no. 8104908, doi: 10.1109/TMAG.2019.2900749.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/49124426790a017123757c7bd3f86a52.jpg)
Fig. 1 Topologies of 6/17 multi-tooth FSPM machines. (a) C-multi-tooth machine. (b) FP-multi-tooth machine.

![](https://assets.underline.io/uploads/markdown_image/1/image/1bb200063963f8258738af158c0e488b.jpg)
Fig. 2 Performance comparisons. (a) Phase back-EMF per turn waveforms at 1500r/min. (b) Harmonics of back-EMF. (c)Radial air-gap flux density Brδ in the air-gap region of coil A1and A2(d) cogging torque. (e) Electromagnetic torque waveforms versus current densities. (f) Torque ripple waveforms versus current densities. (g) Electromagnetic torque waveforms under Jsa=5A/mm2.

poster

This paper investigates a design method of a Halbach magnet array which can produce multiple MMFs with desired amplitudes and phase position. The construction process and the operation principle of this new type of Halbach array is introduced in this digest. It reveals that through adjusting the proportion of two main working MMFs, higher back EMF and torque density can be achieved than the Halbach flux reversal machines with only one fundamental MMF. I. Introduction Flux modulation machines are attractive for their high torque density due to the magnetic gear effect. It has been validated that multiple airgap flux harmonics can both contribute to the back EMF and torque in flux modulation machines [1]. In stator PM flux modulation machines such as flux switching and flux reversal machines [2], multiple static MMF harmonics can be modulated by single rotor permeance and generate multiple airgap flux harmonics with same frequency, therefore can both contribute to the total back EMF. Different from regular stator PM machine with only fundamental MMF and its odd harmonics, recently a new kind of stator PM flux modulation machines with unequal magnet thickness has been proposed in [3]-[4]. By adjusting the pole arc of each magnet, several other stator MMFs can be generated, and more airgap working harmonics can be introduced to enhance 10% back EMF and torque capacity of machines. However, the oriented design of each working MMF has not been achieved yet in these papers. In [5], the analytical model of Halbach PM array with unequal pole arcs and arbitrary magnetizing directions has been proposed, which can be optimized with algorithm to get multiple main MMFs, but the processing and manufacturing is difficult. In this paper, a design method of Halbach PM array with only radial and tangential magnets has been proposed to produce multiple MMF harmonics with required amplitudes and phase angles. Then, the method is applied into the optimization of Halbach flux reversal machines. II. Forming Process of Multi-MMF Halbach PM Array The forming process of Halbach PM array with two main MMFs is illustrated in Fig. 1. At first, the amplitudes and phase angle of each required MMF harmonic are given, the ideal sine wave of these two MMFs can be presented, respectively. By the accumulation of these two sinusoidal MMFs, a composite MMF can be presented, which has irregular shape and is hard to process. Then, through setting positive and negative threshold values, the composite MMF can be simplified into 3-step PWM composite MMF form. According to this form, the arc length and the magnetization direction of each radial magnet can be determined. On the other hand, the tangential magnets are placed between the radial magnets with different polarities, and the magnetization directions of tangential magnets are determined by the mechanism of conventional Halbach PM array to achieve strong magnetic field on the airgap side. In addition, the gaps are left between two radial magnets with the same polarity. Based on these procedures, the magnet arrangement of Halbach PM array with two MMFs can then be derived. Similarly, the Halbach PM array with more than 2 MMFs can be built by adding the sine wave ideal MMFs at the first step. The simulation results, which will be given in the full paper, validate the accuracy of this method on the construction of required MMFs. III. Application of Multi-MMF Halbach Array in Flux Reversal Machines As one of its interesting applications, the proposed Halbach PM array can be used to increase the airgap working field harmonics in the stator PM flux modulation machines. As shown in Fig. 2 (a), a 6-slots-4-poles flux reversal machine (FRM) with 16-salient-pole rotor is selected as the research object. The proposed Halbach PM array with12th and 18th MMFs is mounted under the stator teeth of this machine. According to the flux modulation theory, the 12th and 18th MMFs are modulated by 16th rotor permeance and generate 4th and 2nd airgap flux harmonics separately, which both contribute to the back EMF but with different coefficients [3]. Fig. 2 (b) shows the back EMF and cogging torque of proposed machine varied with the proportion of 12th MMF. Since 2nd harmonic has two times pole ratio than the 4th harmonic, the FRM with only 18th MMF has higher back EMF than with only 12th MMF. Also, since the least common multiple between 18 and 16 is 144, which is much larger than the least common multiple between 12 and 16, 18th MMF can bring lower cogging torque than the 12th MMF in proposed FRM. However, it is interesting that when increasing the proportion of 12th MMF from 0 to 0.3, the back EMF of proposed machine can still get 10% increased on the basis of Halbach FRM with 18th MMF under the same magnet usage. The reason analysis and the theoretical upper limit of this growth under Halbach PM array with 2 and 3 MMFs will be studied in the full paper. IV. Conclusions A design method of multi-MMF Halbach PM array has been proposed, and its application in a 6-slots-16-poles flux reversal machine has been researched. Compared to regular flux reversal machines with single MMF, the proposed flux reversal machine with composite MMFs can achieve 10% higher back EMF and torque capacity under the same magnet usage. The influence of pole ratio and the selection of threshold values on the performance of machine will be given in the full paper.

**References:**

[1] Tianjie Zou, Dawei Li, Canruo Chen, etc., “A Multiple Working Harmonic PM Vernier Machine with Enhanced Flux-Modulation Effect,” IEEE Transactions on Magnetics, vol. 54, no. 11, June. 2018. [2] Dawei Li, Ronghai Qu, Jian Li, etc., “Synthesis of Flux Switching Permanent Magnet Machines,” Synthesis of Flux Switching Permanent Magnet Machines,” IEEE Transactions on Energy Conversion, vol. 31, no. 1, Mar. 2016. [3] Yuting Gao, Dawei Li, Ronghai Qu, etc., “A Double-Stator Flux Switching PM Machine with Multi-PM MMF Harmonics,” IEEE Transactions on Magnetics, vol. 55, no. 6, June. 2019. [4] You Zhou, Ronghai Qu, Yuting Gao, etc., “A Novel Flux Modulation Linear Machine with Dual-Sided Modular Primary and Multi Pole Pitches,” IEEE International Electric Machines & Drives Conference (IEMDC), May. 2019. [5] Hailin Huang, Libing Jing, Ronghai Qu, etc., "Analysis and Application of Discrete Halbach Magnet Array with Unequal Arc Lengths and Unequally Changed Magnetization Directions," in IEEE Transactions on Applied Superconductivity, vol. 28, no. 3, pp. 1-5, April 2018.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/9c73d18c76d2ea1125f18574efa58316.jpg)
Fig. 1. The Forming method of Halbach PM array with two main MMFs.

![](https://assets.underline.io/uploads/markdown_image/1/image/9ee687a19ed045776c6bf555c0e0b096.jpg)
Fig. 2. Sketch and performance of Halbach flux reversal machine with 12th and 18th MMF.

 A Design Method of Multi-MMF Halbach PM Array and its Application in Flux Reversal Machines

1. Introduction. Due to the merits of simple structure, mechanical robustness and high power density, flux reversal permanent-magnet machine (FRPMM) has been an appealing choice in many industrial applications [1]. However, similar to other solely PM-excited machines, the constant-power operation range of FRPMM is restricted by the uncontrollable PM flux [2]. To improve the flux regulation ability, the hybrid-excited design concept is introduced into flux reversal machine [3]. With the participation of direct current (dc) excitation, the air-gap flux density can be regulated flexibly. However, the dc-field winding and armature wingding placed in the same stator results in a serious space confliction, which deteriorates the torque production and flux regulation ability. To cope with the space problem, the partitioned stator hybrid excited flux reversal machine (PSHEFRM) is developed [4], in which the armature windings and field windings are placed separately in the inner and outer stators. Nevertheless, the solely stator-PM excitation limits the torque capability of PSHEFRPM. To further enhance the torque production and obtain the flexible flux regulation ability, this paper proposes a new partitioned stator hybrid-excited flux reversal machine with dual-PM (DP-PSHEFRM), in which the field windings are placed in the inner stator and the PMs are employed on both the rotor and outer stator. The topology and operation principle of the proposed DP-PSHEFRM are described. The electromagnetic performances of the machine are investigated by finite element analysis (FEA). 2. Machine topology and operation principle. Fig. 1 shows the topology of the proposed DP-PSHEFRM, which consists of two stators and one sandwiched rotor. It can be seen that the machine employs the outer stator to accommodate three-phase armature windings and PMs, and inner stator to place field winding. The PMs mounted on the top of outer stator teeth are separated by iron poles, which composes a consequent-pole PM arrangement. The non-overlapping armature windings and field windings are wound on the teeth of outer and inner stators, respectively, which offers the merits of short ending-length and low copper loss. In addition, the outer stator teeth are aligned with inner stator slots, which means the two stators have half teeth pitch displacement. Moreover, the alternate PMs and iron poles composes a consequent-pole PM rotor structure. The PMs on the rotor and outer stator are magnetized with the identical radially direction to enhance the flux densities in the air-gap and stator core. The operation principle of the proposed DP-PSHEFRM is based on the flux modulation effect, and the torque of machine is generated by taking advantage of the modulated air-gap field harmonics. In addition, the dc flux is mainly used to regulate the air-gap flux density to improve the flux weakening capability. 3. Electromagnetic performance evaluation. Fig. 2(a) shows the no-load back-electromotive forces (back-EMFs) of the proposed DP-PSHEFRM excited by stator-PM only, rotor-PM only and dual-PM at the field current density of 0 A/mm2. It can be seen that the back-EMFs excited by different PM excitations all have a symmetrical and sinusoidal waveform. In addition, compared with stator-PM, rotor-PM makes more contribution for the back-EMF production. Fig. 2(b) compares the torques of proposed machine under different PM excitation at the armature current of 6A. It can be seen that the torque with dual-PM excitation is 82% higher than that with stator-PM excitation only and 47% higher than that with rotor-PM excitation only, which illustrates a great enhancement of torque production by using dual-PM excitation. Then, in order to verify the flux regulation ability of DP-PSHEFRM, the dual-PM excited outer air-gap flux density and its harmonic spectra at different field current density are evaluated, as shown in Fig. 2(c) and (d). It can be observed that the amplitudes of working harmonics can be continuously regulated with the change of the field current density. Thus, the flux linkage at armature terminal can be effectively adjusted, as shown in Fig. 2(e). When the armature current is fixed as 6 A, the variation of average torque with field current density is investigated. As shown in Fig. 2(f), the average torque decreases by 9.2Nm from J=0A/mm2 to J=-15A/mm2, which illustrates the excellent flux weakening capability of the proposed DP-PSHEFRM. More detailed design considerations and electromagnetic performance analysis will be presented in the full paper.

**References:**

 [1] Y. Gao, R. Qu, D. Li, “Torque performance analysis of three-phase flux reversal machines,” IEEE Trans. Ind. Appl., vol. 53, no. 3, pp. 2110–2119 (2017). [2] X. Zhao, S. Niu, and W. Fu, “Design of a novel parallel-hybrid-excited dual-PM machine based on armature harmonics diversity for electric vehicle propulsion,” IEEE Trans. Ind. Electron., vol. 66, no. 6, pp. 4209–4219 (2019). [3] L. Xu et al., “Design and analysis of a new linear hybrid excited flux reversal motor with inset permanent magnets,” IEEE Trans. Magn., vol. 50, no. 11, Art. ID 8202204 (2014). [4] Z. Zeng, Q. Lu and X. Huang, "Analysis of a new partitioned-primary flux-reversal hybrid-excited linear motor," in Proc. IEEE Int. Elect. Mach. Drives Conf. (IEMDC), pp. 74-79 (2019).

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/bbde9754c49229479494cfe02b661303.jpg)
Fig. 1 Topology of the proposed DP-PSHEFRM

![](https://assets.underline.io/uploads/markdown_image/1/image/46d6a83d3bdaec0953d3139401617155.jpg)
Fig. 2 Electromagnetic performances analysis

 Design and Analysis of a New Partitioned Stator Hybrid-Excited Flux Reversal Machine With Dual-PM

This paper proposes a novel consequent-pole flux-switching permanent magnet (FSPM) machine with magnets in stator slot opening to improve the torque density, which is a critical concern of FSPM machines. The working principle of the proposed topology is investigated based on the magnetomotive force (MMF)-permeance model and numerical finite element analysis (FEA). The electromagnetic performance such as back EMF and electromagnetic torque is compared with the conventional consequent-pole FSPM machine. It is demonstrated that the proposed machine can achieve 27.8% larger back EMF and 20.2% higher torque density than the conventional counterpart. I. Introduction Recently, permanent magnet (PM) machines have been used in many industry applications, such as servo motors and electric vehicle. Flux-switching permanent magnet (FSPM) machine was first proposed in [1]. Due to simple rotor structure and excellent flux-weakening capability [2] [3], FSPM machines have received much attention in recent decades. To improve torque density of FSPM machines, many topologies have been proposed and investigated. Z. Q. Zhu et al. analyzed a novel multi-tooth FSPM machine [4] and the optimal slot/pole pair combination is determined by a simple analytical method in [5]. H. Yang et al. proposed a consequent-pole FSPM machine to increase the contents of low-order harmonics to enhance the torque capability in [6]. In this paper, a consequent-pole FSPM machine with magnets in the slot opening is proposed to increase the torque density. In Section II, the working principle of the proposed topology is analyzed based on magnetomotive force (MMF)-permeance model and numerical finite element analysis (FEA). The electromagnetic performance, such as back EMF and electromagnetic torque, is compared with the conventional consequent-pole FSPM machine in Section III. It is found that the proposed topology can achieve 27.8% larger back EMF and 20.2% higher torque capability than the conventional counterpart. In Section IV, some conclusions are drawn. II. Machine Topology and Working Principle The conventional consequent-pole and proposed FSPM machines are shown in Fig. 1(a) and Fig. 1(b) respectively. Different from the conventional consequent-pole FSPM machine, there are Halbach-type magnets in stator slot opening in the proposed topology. The magnetization directions of the magnets are represented by the yellow arrows. Owing to the unique structure of consequent-pole FSPM machine, there are relatively lower reluctance paths for low-order flux density harmonics. It can be demonstrated that the non-working 6-pole-pair flux density harmonic can be reduced by the magnets in the stator slot opening. Thus, the working flux density harmonics can be enhanced while comparable saturation degrees can be realized in the conventional and proposed FSPM machines. III. Electromagnetic Performance Fig. 2 shows the FEA-predicted phase back-EMF waveforms, FFT analysis results of back EMF and electromagnetic torque curves. It can be seen from the figure that the proposed machine can achieve 27.8% larger back EMF and 20.2% higher torque density than the conventional counterpart. It should be noted that the phase current of proposed machine is smaller than the conventional consequent-pole FSPM machine due to the smaller slot area when the cooper losses are kept constant. IV. Conclusion In this paper, a novel consequent-pole FSPM machine with magnets in stator slot opening is proposed to enhance the torque capability. It is demonstrated that the proposed topology can realize 27.8% larger back EMF and 20.2% higher torque density than the conventional counterpart.

**References:**

 [1] S. E. Rauth and L. J. Johnson, “Design principles of flux-switching alternators,” AIEE Trans., vol. 74, pt. III, no. 3, pp. 1261-1268, Jan. 1955. [2] D. Li, R. Qu, J. Li, W. Xu, and L. Wu, “Synthesis of flux switching permanent magnet machines,” IEEE Trans. Energy Convers., vol. 31, no. 1, pp. 106–117, Mar. 2016. [3] W. Hua, M. Cheng, and G. Zhang, “A novel hybrid excitation flux-switching motor for hybrid vehicles,” IEEE Trans. Magn., vol. 45, no. 10, pp. 4728-4731, Oct. 2009. [4] Z. Q. Zhu, J. T. Chen, Y. Pang, D. Howe, S. Iwasaki, and R. Deodhar, “Analysis of a novel multi-tooth flux-switching PM brushless AC machine for high torque direct-drive applications,” IEEE Trans. Magn., vol. 44, no. 11, pp. 4313-4316, Nov. 2008. [5] J. T. Chen, Z. Q. Zhu, and D. Howe, “Stator and rotor pole combinations for multi-tooth flux-switching permanent-magnet brushless AC machines,” IEEE Trans. Magn., vol. 44, no. 12, pp. 4659-4667, Dec. 2008. [6] H. Yang, Y. Li, H. Lin, Z. Q. Zhu and S. Lyu, "Principle investigation and performance comparison of consequent-pole switched flux PM machines," IEEE Trans. Transport. Electrifi., doi: 10.1109/TTE.2020.3022991.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/77be9b46bb5ba347cd39ca86a71b3594.jpg)
Fig. 1. Basic topologies. (a) Conventional consequent-pole FSPM. (b) Proposed FSPM.

![](https://assets.underline.io/uploads/markdown_image/1/image/fc2f6faeaa2b47661f704ce62af21ac5.jpg)
Fig. 2. Electromagnetic performance. (a) Back EMF. (b) FFT analysis results of back EMF. (c) Electromagnetic torque.

 Investigation of Consequent-Pole Flux-Switching Permanent Magnet Machines with Magnets in Stator Slot Opening

1. Background and Literature Review Since permanent-magnet vernier machines (PMVMs) can offer high torque directly without the aid of intermediate transmission devices such as mechanical gearbox, they are extremely suitable for low-speed large-toque direct-drive (LLDD) applications [1], such as industrial robots, wind power generation, ship propulsion, etc. Generally, PMVMs can be classified into three types according to the location of permanent magnets (PMs), i.e., stator type (ST), rotor type (RT) and stator and rotor type (SRT). The former two types mean that either PMs are only on stator or only on rotor, while the latter type signifies that PMs are on both stator and rotor. Since there are two PM excitation sources, the SRT type of PMVM is also called “dual-permanent-magnet-excited (DPME) machine”[2]. Clearly, DPME machine has one more PM excitation source than the other two types, so it can output higher torque compared with the other two types, which has been demonstrated in [2,3]. Thus, DPME machine has more advantages in the LLDD field, and much research on it is also growing increasingly. However, according to the literature review, research on DPME machine concentrates on the qualitative explanation of the bidirectional field modulated effect (BFME) [2], new structures [4], design and optimization [5], comparative study [6] and control strategies [7]. 2. Motivation Back-EMF is an important physical quantity in electrical machine (EM), which many designers often care about, as nonsinusoidal back-EMF may cause torque ripple, and increase inverter capacity [8]. For DPME machine (see Fig. 1), it has two PM excitation sources with different pole-pair numbers (PPNs), i.e. stator PMs and rotor PMs; it also has double-salient structure. Due to the double-salient structure, the magnetic field generated by stator PMs or rotor PMs can be modulated into abundant airgap field harmonics through rotor teeth or stator teeth. So, the airgap harmonics of DPME machine are more abundant and more complex than those of traditional PM machine. Regarding the back-EMF of DPME machine, two questions (Qs) arise naturally, i.e., Q1: do all airgap flux density harmonics make contribution to back-EMF? Q2: For these harmonics which contribute to the back EMF, do they all produce positive or negative back EMF? According to the previous literature review, only [4] answered Q1 by qualitative analysis, and pointed out that only specific harmonics can contribute to back-EMF. However, as far as we know, there is no literature to answer Q2. So, it is necessary to quantitatively identify the airgap flux density harmonics contributing to back-EMF, thus helping to suppress the harmonics which produce negative back EMF. 3. Method Magneto motive force (MMF) permeance analytical model (MPAM) is used to identify the airgap flux density harmonics contributing to back-EMF. Firstly, establish the MPAM of DPME machine. Next, derive the expressions of airgap flux density harmonics generated by stator and rotor PMs respectively based on the MPAM, and classify the harmonics into six types (see Table I). Then, deduce the expressions of PM flux-linkage by means of winding function and the derived airgap flux density harmonics. Afterwards, get back-EMF expressions by the derived PM flux-linkage. Finally, identify the airgap flux density harmonics contributing to back-EMF. 4. Results As shown in Fig. 1, a 12/10 DPME machine is selected as an example for analysis. Fig. 2(a) compares back-EMFs obtained by theoretical analysis and FEM. As can be seen from Fig. 2(a), the back-EMF obtained by the MPAM basically coincides with that obtained by FEM. The error between the analytical and FEM results is about 8.7%, which indicates that the MPAM is feasible. By means of the MPAM, one can also identify the airgap flux density harmonics contributing to back-EMF. Fig. 2(b) gives the identification results of the airgap flux density harmonics contributing to the fundamental back-EMF. Apparently, S-II and R-II types of harmonics generate negative back-EMFs, which weakens the total back-EMF; S-III, R-I and R-III types contribute to positive back-EMFs, and R-III type contributes nearly half the back-EMF; S-I type makes no contribution to back-EMF. 5. Note Limited by the length of the digest, 1) not all the references are given in the digest body, and the others will add in the full paper; 2) the derivation of the MPAM for DPME machine as well as the derived expressions will be elaborated in the full paper; 3) other results such as waveforms of flux density will be added in the full paper.

**References:**

[1] F. Wu and A. M. El-Refaie, IET Electr. Power Appl., Vol. 13, p. 127–137 (2019) [2] L. Jian, Y. Shi and C. Liu, IEEE Trans. Magn., Vol. 49, p. 2381–2384 (2013) [3] W. Zhao, X. Sun and J. Ji, IEEE Trans. Appl. Supercond., Vol. 26, p. 1-5 (2016) [4] L. Xu, W. Zhao and G. Liu, IEEE Trans. Veh. Technol., Vol. 69, p. 7104-7115 (2020) [5] Q. Lin, S. Niu and W. N. Fu, IEEE Trans. Magn., Vol. 56, p. 1-5 (2020) [6] Q. Wang, S. Niu and L. Yang, IEEE Trans. Ind. Electron., Vol. 64, p. 9924-9933 (2017) [7] S. Niu, S. L. Ho and W. N. Fu, IEEE Trans. Magn., Vol. 50, p. 805-808 (2014) [8] X. Ren, D. Li and R. Qu, IEEE Trans. Ind. Electron., Vol. 67, p. 6248-6258 (2020)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/33770a3501a2d61f1b501d622d324902.jpg)
Fig. 1 and Table I

![](https://assets.underline.io/uploads/markdown_image/1/image/b877c649b02d8cc9ff444a314279b6a8.jpg)
Fig. 2. (a) Back-EMFs. (b) Contribution of airgap flux density harmonics to the fundamental back-EMF.

 Quantitative Identification of Airgap Flux Density Harmonics Contributing to Back-EMF in Dual-Permanent-Magnet-Excited Machine

I.Introduction Recently, the flux-switching permanent magnet (FSPM) machines have been recognized as attractive candidates for electric vehicle (EV) and hybrid electric vehicle (HEV) propulsion on account of their high torque (power) density and robust rotor structure. The 6s/5p FSPM machine is considered for the high speed condition, since it reduces the fundamental frequency and exhibits improved torque performances. However, the topology utilization is restricted due to the unbalanced magnetic force in automotive applications. In order to address the above issues, this paper proposes a axial-modular flux switching permanent magnet (AM-FSPM) machine, as shown in Fig. 1. It contains two axial modular parts, namely front modular part and rear modular part, where the PMs of each part are sandwiched between the two U modular cores. It is worth noting that the PMs magnetization directions are opposite at the same stator position of two axial modular parts. The phase armature winding is composed of two toroidal coils, which are wound around the stator yokes. It can be found from Fig. 1(a) that the integrated toroidal windings are shared by the two axial modular parts, and then the winding function is different from that of the conventional FSPM machine. Meanwhile, the winding factor of the AM-FSPM machine is improved by the toroidal windings, which is helpful to increase the torque density. The rotor poles in the rear part are shifted relative to the front part by 180o mechanically. II.Electromagnetic performances of AM-FSPM machine For the AM-FSPM machine, the PM magneto-motive-forces (MMFs) of two axial modular parts are modulated by the corresponding salient rotor cores. Then the PM air gap flux density is produced, and the harmonic amplitudes in two modular parts are identical due to the same PM-MMF and rotor permeance model. However, the PMs magnetization directions of the two modular parts are opposite and the rotor positions are different, which leads to the flux density harmonic phase difference. Based on the PM flux density expression, the phase difference between two modular parts is obtained as |(2n-1)PPM±kPr|π, where PPM and Pr is the PM pole-pair number and rotor pole number, respectively. Meanwhile, the winding functions of two axial modular parts are the same due to the sharing of the integrated toroidal armature windings. Hence, the phases difference of the PM flux linkage between the front modular part and the rear modular part is |(2n-1)PPM±kPr|π. When k is an even number, the harmonics with even orders in flux linkages of two coils are cancelled, and then the sinusoidal flux linkage will be obtained as shown in Fig. 2(a). It can be found from Fig. 2(b) that the total harmonic distortion (THD%) of the single coil flux linkage is 31.57% in the modular part, where the harmonic with 2nd order is the highest (30.95%). Nevertheless, the THD% in the same coil of whole machine is 6.19% due to the cancelled harmonics with even orders. Moreover, the coil flux linkage harmonic distortion with 3rd orders is 6.18%, which is not contributed to the electromagnetic torque. In order to verify the merits and disadvantages of AM-FSPM machine, a comprehensive comparison between AM-FSPM and conventional 6s/5p FSPM machine is conducted. Two machines have the same outer diameter, axial stack length and air gap length. Meanwhile, the same PM and silicon steel materials are utilized and the rated current density of two machines are equal. Fig. 2(c) shows the electromagnetic torque waveforms of two machines. It can be found that the average torque of the AM-FSPM machine is 14.05Nm, which is 1.09 times of that of the FSPM machine. The reason is that the winding factor of AM-FSPM is 1, which is higher than 0.866 of traditional 6s/5p FSPM machine. In addition, the cogging torque in AM-FSPM (0.62Nm) is approximately identical to the FSPM machine. However, the torque ripple of AM-FSPM is 6.6%, which is 0.7% higher than that of FSPM machine. It is worth noting that the torque ripples without cogging torques are 3.6% and 4.1% in AM-FSPM and FSPM machines, respectively. Hence, the torque ripple is dominantly influenced by the cogging torque, which will be investigated and suppressed in the full paper. The electromagnetic torque with different current densities of two machines are shown in Fig. 2(d). It can be found that the average torque increases linearly as the current density rises, then the two machines exhibit the attractive overload capability. III.Conclusion This paper proposes a novel AM-FSPM machine and the flux density harmonics characteristics are deduced. Then the sinusoidal flux linkage of the toroidal coil can be obtained due to the flux density harmonics phases difference between two modular parts of the AM-FSPM machine. In addition, compared with the 6s/5p FSPM machine, the proposed machine with the same geometric parameters exhibits higher torque density, and lower torque ripple, which is suitable for the EV and HEV applications.

**References:**

[1] Y. Li, D. Bobba and B. Sarlioglu, "Design and Performance Characterization of a Novel Low-Pole Dual-Stator Flux-Switching Permanent Magnet Machine for Traction Application," in IEEE Transactions on Industry Applications, vol. 52, no. 5, pp. (2016) [2] C. Di, I. Petrov and J. J. Pyrhönen, "Unbalanced Magnetic Pull Compensation With Active Magnetic Bearings in a 2 MW High-Speed Induction Machine by FEM," in IEEE Transactions on Magnetics, vol. 54, no. 8, pp. (2018)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/3206b1e7f4867281e60da8fd9507796f.jpg)
Fig. 1. AM-FSPM machine and traditional 6s/5p FSPM. (a) front modular part of AM-FSPM, (b) rear modular part of AM-FSPM, (c) AM-FSPM. (d) 6s/5p FSPM.

![](https://assets.underline.io/uploads/markdown_image/1/image/f3bd9851267fe0221cdfb76a4c5e747c.jpg)
Fig. 2. 2D and 3D finite element analysis results of AM-FSPM and traditional 6s/5p FSPM parameters (a) flux linkage, (b) corresponding Fourier spectra, (c) electromagnetic torque, (d) current density.

 Design of a Axial-Modular Flux-Switching Permanent Magnet Machine

In this paper, a novel winding switching strategy is proposed to extend the speed range of a consequent-pole ferrite-PM hybrid-excited machine (CPFPM-HEM) for electric vehicle application. The key is that in low-speed range, the ac armature winding and dc field winding are connected in series to achieve large starting torque, while in high-speed range, dc field winding are injected with different dc currents to realize constant back-EMF with flux-weakening effect. Furthermore, consequent-pole rotor is used to reduce the dosage of the permanent magnet (PM). In the meantime, ferrite PM is used to replace rare-earth PM to reduce the cost with the shortage of rare earth resources. In this paper, the machine configuration, winding switching concept are illustrated in detail. Then, the electromagnetic performance of CPFPM-HEM in different speed ranges are investigated. Finally, the speed range which greatly extended with the same back-EMF is testified by the Maxwell/Simplorer co-simulation. 1. Introduction Nowadays, permanent magnet synchronous machine (PMSM) has attracted more and more attention in electronic vehicle application with excellent advantages such as high-power density and high efficiency [1-2]. However, the fixed PM flux of PMSM has limited the speed range of electronic vehicle. In order to extend speed range of the electric vehicle, hybrid excited machine, which incorporates PM excitation and dc field excitation, is proposed [3-4]. For hybrid excited machine, the flux regulation range has a limitation with dc field current control. In order to extend the flux regulation range, a novel winding switching strategy is proposed. 2. Machine configuration and winding switching concept A. Machine configuration Fig. 1 shows the configuration of consequent-pole ferrite permanent magnet hybrid-excited machine (CPFPM-HEM). It is composed of 8 pole pair inner rotor and 12-slot outer stator. The rotor consists of consequent-pole ferrite PMs and the magnetization direction of these PMs is radial outward as denoted in Fig. 1. The stator comprises ac armature winding and dc field winding. Both ac armature winding and dc field winding are made of single layer concentrated windings. The ac armature winding and dc field winding are connected in series in low-speed operation, while which are separately excited in high-speed operation. B. Winding switching concept Fig. 1 presents the winding switching manipulation circuit which consists of ac armature winding, dc field winding, rectifier, dc voltage source as well as some switches. There are two speed modes. Mode 1: Low speed mode S1 and SW1 is OFF. The ac armature winding and dc field winding are connected in series when the machine is in low-speed operation. The back-EMF is the sum of the voltage from ac armature winding and dc field winding. Due to the low speed, the back-EMF provided by the powertrain does not need to be high. Mode 2: High speed mode S1 and SW1 is ON. The ac armature winding and dc field winding are separately excited. While ac armature winding is provided by powertrain, the dc field winding is provided by dc volage source. By regulating the dc source voltage value, the back-EMF provided by the powertrain can keep the same. 3. Electromagnetic performance Fig. 2 shows variable speed constant back-EMF with winding switching operation and dc excitation regulation. It can be noticed that in 0 to 20 ms, the machine operates in mode 1 with 300 rpm, the ac armature winding and dc field winding are connected in series to provide large starting torque. At 40 ms, the ac armature winding and dc field winding are separately excited and the machine switches to mode 2. Between 40 ms to 80 ms, the machine speed is 600 rpm and the dc excitation current is zero. Between 80 ms to 120 ms, the machine speed changes to 900 rpm and dc excitation current changes to -3 A. Between 120 ms to 160 ms, the machine speed attains 1200 rpm and the dc excitation current reaches -6 A. It can be concluded that, the amplitude of back-EMF is almost unchanged when the speed changes from 300 rpm to 1200 rpm with resort to winding switching operation and dc excitation regulation. 4. Conclusion This paper proposes a novel winding switching strategy to enhance the flux regulation capability of CPFPM-HEM, thus whose speed range can be greatly extended. The ac armature winding and dc field winding are connected in series to provide large torque in low-speed mode, while which are separately excited to realize variable speed constant back-EMF in high-speed mode. The paper has verified variable speed constant back-EMF through Maxwell/Simplorer co-simulation. In addition, consequent-pole ferrite PMs are used to save the cost and avoid the usage of rare-earth resources. In the full paper, the machine operation principle, flux regulation principle, as well as winding switching concept will be illustrated in detail. In addition, more electromagnetic analysis will be performed and more conclusions will be drawn from the finite element results. Moreover, a prototype of the machine will be manufactured and relative tests will be carried out. Acknowledgement This work was supported in part by grants from the Hong Kong Research Grants Council, Hong Kong, China, under Project PolyU 152058/17E and PolyU 152143/18E.

**References:**

[1] S. Niu, Y. Luo, W. Fu and X. Zhang, "Robust Model Predictive Control for a Three-Phase PMSM Motor With Improved Control Precision," IEEE Trans. Ind. Electron., vol. 68, no. 1, pp. 838-849, Jan. 2021. [2] S. Niu, Y. Luo, W. Fu and X. Zhang, "An Indirect Reference Vector-Based Model Predictive Control for a Three-Phase PMSM Motor," IEEE Access, vol. 8, pp. 29435-29445, 2020. [3] X. Zhao and S. Niu, "A New Slot-PM Vernier Reluctance Machine With Enhanced Zero-Sequence Current Excitation for Electric Vehicle Propulsion," IEEE Trans. Ind. Electron., vol. 67, no. 5, pp. 3528-3539, May 2020. [4] Y. Fan, G. Qu, and C. Tan, "Design and Analysis of a New Five-Phase Dual-Stator Consequent-Pole Brushless Hybrid Excitation Machine," IEEE Trans. Magn., vol. 55, no. 1, pp. 1-10, Jan. 2019.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/4377008ba78f62d7eee68ed50f53ad09.jpg)
Fig. 1. Configuration of CPFPM-HEM and winding switching manipulation circuit.

![](https://assets.underline.io/uploads/markdown_image/1/image/97d0ea6aa35f7fde6662f17fab9efb15.jpg)
Fig. 2. Variable speed constant back-EMF with winding switching operation and dc excitation regulation. (a) Speed variation and given dc excitation current. (b) Variable speed constant back-EMF.

 A Novel Winding Switching Strategy of a Consequent-pole Ferrite-PM Hybrid-excited Machine for Electric Vehicle Application

I.INTRODUCTION The flux reversal permanent magnet (FRPM) machine, as a stator PM machine with a simple rotor configuration, is suitable for high speed electric propulsion applications However, the conventional 6-slot and 8-pole (6s/8p) FRPM machine has some disadvantages, such as low torque density and large torque ripple. An axial modular flux reversal permanent magnet (AM-FRPM) machine is proposed in this paper as shown in Fig. 1. It contains two modular parts including front modular part 1 and rear modular part 2, and the modular part topology evolves from the conventional 6s/8p FRPM machine. It is worth noting that the PMs of two modular parts have opposite magnetization directions at the same stator position. Meanwhile, the rotor poles in the rear part are shifted by 22.5° mechanically relative to those in the front part. In addition, the toroidal windings are wound around the yokes of the AM-FRPM machine, which are different from those of conventional FRPM machines. Besides, the winding factor is set as 1 to obtain a high torque density. II.PRINCIPLES AND PERFORMANCE Based on the magnetic field modulation theory, the operating principle of AM-FRPM machine is analyzed from three perspectives, including PM field modulation, armature reaction field modulation and torque production mechanism. For the PM field, the PM magneto-motive-force (MMF) of each modular part is modulated by the corresponding modular salient rotor teeth [1]. Then the air gap flux density expression Bg can be deduced, which contains the harmonics components (HCs) with |nPs±kPr| order, where Ps is the number of stator slots, Pr is rotor poles number, n=1, 2…, and k=0, 1, 2…. The air-gap flux density harmonics distributions of the PM field are shown in Fig. 2(a). It can be found that harmonics distributions of two modular parts are similar, and the dominant harmonics components are 2nd, 4th, 6th, 12th, 14th and 24th orders, which verifies the HCs results by the field modulation theory. PMs of the two modular parts have opposite magnetization directions at the same stator position, so the phases differences of the flux density harmonics generated by the PM MMF, such as 6th, 12th and 24th, are 180o between two parts. Besides, the PM-MMFs are modulated by two rotor parts with different initial angles, so the phases of modulated harmonics in two parts are also different. In addition, based on the flux density harmonics phases analysis, the PM flux linkages harmonics with even orders are cancelled as shown in Fig. 2(b). The armature reaction MMF mathematic model of the AM-FRPM machine cannot be obtained by three phases overlapping directly because its winding function is different from that of the conventional FRPM machine. The reason is that the armature coils of the AM-FRPM machine are with the same direction. Hence, the armature reaction MMF distributions need to consider three phases synchronously. In addition, the armature reaction MMF in two modular parts is modulated by the front and rear rotors in Fig. 1(a), respectively, then the armature reaction air gap flux density harmonics distributions can be obtained. It can be found from Fig. 2(c) that the number of HCs can be expressed as 2k (k=1, 2…), and the dominant harmonic orders are 2nd, 4th, 6th, 10th and 12th. It is worth noting that the rotors in two modular parts have different initial angle, and then the armature reaction flux density harmonic distributions of two parts obtain different harmonic performances, including amplitudes and phases. The harmonics characteristics analysis will be illustrated in detail in the full paper. Here it is clearly shown in Fig. 2(c) that the amplitudes of 4th harmonic in front and rear modular parts are 0.22T and 0.11T, respectively, which influence the harmonics contribution of electromagnetic torque. Based on the analysis of the PM field and the armature reaction field, it can be concluded that the electromagnetic torque is mainly contributed by the harmonics with 2nd, 4th, 6th and 12th orders. The 6th and 12th harmonics are generated by the PM MMF, while the 2nd and 4th harmonics are produced by the modulation of salient pole rotor on PM MMF. The electromagnetic torque waveforms are shown in the Fig. 2(d). It can be found that the torque ripples of front and rear modular parts are 8.4% and 8.3%, respectively, and the torque ripple of AM-FRPM machine is only 6.4%. Besides, the torque of front and rear modular are 5.23Nm and 5.24Nm, and the torque of AM-FRPM machine is 10.64Nm. The torque is generated by overlapping of two modular parts is 1.6% less than that of the whole machine, so the magnetic flux leakage between modular parts is small and the structure is compact. III.CONSLUSION The proposed AM-FRPM machine contains two modular parts and integrated toroidal windings. In this paper, the operating principle of the proposed machine was explained by the air gap field modulation theory. It can be found that the armature reaction flux density harmonic distributions of two parts obtain different harmonic performances. Besides, the AM-FRPM machine exhibits a high torque density and the torque ripple is suppressed effectively, which is suitable for electric vehicle applications.

**References:**

[1] X. Zhu and W. Hua, "An Improved Configuration for Cogging Torque Reduction in Flux-Reversal Permanent Magnet Machines," in IEEE Transactions on Magnetics, vol. 53, no. 6, pp. 1-4, (2017). [2] X. Zhu, W. Hua and W. Wang, "Analysis of Back-EMF in Flux-Reversal Permanent Magnet Machines by Air Gap Field Modulation Theory," in IEEE Transactions on Industrial Electronics, vol. 66, no. 5, pp. 3344-3355, (2019).

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/43d2798fc3d332c572d2e13b7e7dd580.jpg)
Fig.1 (a) The topology of AM-FRPM machine. (b) front modular part (c) rear modular part.

![](https://assets.underline.io/uploads/markdown_image/1/image/bd9cd746d7829d0311ec363aec69dd5e.jpg)
Fig.2 (a) The air-gap flux density harmonics distributions of PM field. (b) The harmonic spectrum of line flux linkage. (c)The air-gap flux density harmonics distributions of armature field. (d) Torque waveforms.

 Analysis of Axial Modular Flux Reversal Permanent Magnet Machine

A novel brushless dual-electrical-port dual-mechanical-port machine with opening stator slot is proposed to improve the torque density. Compared to the regular BLDD machine, which can be regarded as the combination of the magnetic gear machine (MGM) and permanent magnet synchronous machine (PMSM), the proposed BLDD is formed by MGM and vernier PM machine (VPM). The stator teeth are not only used to go through the main flux, but also worked as a modulator to change the pole pairs and construct the VPM part. Due to the flux modulation effect and reduced effective air-gap, the torque density is significant improved. The operation principle is introduced and electromagnetic performances of the regular and proposed BLDD machine are compared by 2-D finite element analysis (FEA). I. Introduction Continuously variable transmission (CVT) is the key component of the hybrid power system, which has the advantages between the electric drive system and engine [1]-[3]. With the development of the flux modulation principle [4], a new type of CVT called brushless dual-electrical-port dual-mechanical-port (BLDD) machine, which can realize the function of a generator, a motor and the planetary gear in the hybrid power system, has been proposed in [5]. This paper proposes a higher torque density BLDD machine with opening stator slot, as shown in Fig. 1. II. Structure and operation principle The proposed BLDD machine has the same outer and inner rotors structure with the regular BLDD machine [6]. The major difference is the stator configuration. A split-teeth stator structure is used and two sets of windings are placed in the auxiliary teeth and main teeth respectively. In the regular BLDD machine, the auxiliary teeth are closed slot structure, and only used to provide flux path. In the proposed BLDD machine, the auxiliary teeth are opening slot structure, and not only used to go through the magnetic path, but also worked as a modulator to change the PM pole-pair to vernier winding pole-pair. As shown in Fig.1 (a2) and (b2), the MGM part is composed of the modulation winding, teeth in the inner rotor and spoke-array PMs in the outer rotor, which is the same for both regular and proposed BLDD machines. The operation principle of the MGM portion is based on the magnetic gear effect, and the modulation winding pole-pair is equal to the difference between the PM pole-pair and inner rotor teeth number. The other portions of regular and proposed BLDD machines are completely different, one is PMSM portion, and the other is VPM portion. The PMSM portion of the regular BLDD machine in Fig.1 (a3) is formed by regular winding, stator with closed slot and spoke-array PM outer rotor. PMSM works on the same operation principle as a conventional PM machine, and the regular winding pole-pair is equal to PM pole-pair. Nevertheless, the VPM portion of the proposed BLDD machine in Fig.1 (b3) consists of vernier winding, stator with opening slot and spoke-array PM outer rotor. The operation of VPM is based on the flux modulation principle, in which stator auxiliary teeth work as a pole pair transformer and the vernier winding pole-pair is equal to the difference between the stator auxiliary teeth number to PM pole-pair. III. Comparison of the Regular and Proposed BLDD Machines The two BLDD machines with the same machine volume and current density are used to compare the electromagnetic performance. The two BLDD machines have been optimized respectively. Compared to the regular BLDD machine, the proposed BLDD machine has 53.3% higher MGM torque due to increased pole ratio (ratio of PM pole-pair to winding pole-pair) and 77.8% higher VPM torque because of flux modulation effect. IV. Conclusion This paper proposes a novel BLDD machine with opening stator slot. The proposed BLDD machine can significantly improve the back EMF and torque density. Because the composite structure of the proposed BLDD machine is changed and the operation principle is different. More details about machine operation principle, operation features and some design considerations of the proposed BLDD will be given in the full paper.

**References:**

[1] Z. Q. Zhu and S. Cai, "Hybrid excited permanent magnet machines for electric and hybrid electric vehicles," CES Trans. on Electrical Machines and Systems, vol. 3, no. 3, pp. 233-247, Sept. 2019. [2] A. Emadi, Y. J. Lee and K. Rajashekara, "Power Electronics and Motor Drives in Electric, Hybrid Electric, and Plug-In Hybrid Electric Vehicles," IEEE Trans. Ind. Electron., vol. 55, no. 6, pp. 2237-2245, June 2008. [3] X. Zhang, C. T. Li, D. Kum etc., "Prius+ and volt- : configuration analysis of power-split hybrid vehicles with a single planetary gear," IEEE Trans. Veh. Technol., vol. 61, no. 8, pp. 3544-3552, Oct. 2012. [4] D. Li, R. Qu and T. A. Lipo, "High-Power-Factor Vernier Permanent-Magnet Machines," IEEE Trans. Ind. Appl., vol. 50, no. 6, pp. 3664-3674, Nov.-Dec. 2014. [5] D. Li, R. Qu, X. Ren etc., “Brushless dual-electrical-port, dual mechanical port machines based on the flux modulation principle,” in Proc. IEEE Energy Convers. Congr. Expo,2016. [6] Z. Liang, X. Ren, D. Li, etc., "Analysis of a Spoke-Array Brushless Dual-Electrical-Port Dual-Mechanical-Port Machine With Reluctance Rotor," IEEE Trans. Ind. Electron. vol. 68, no. 4, pp. 2999-3011, April 2021.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/2227f1374d906f15e29edd7415114e42.jpg)
Fig.1 Configurations. (a1) Regular BLDD machine. (a2) MGM portion of regular BLDD machine. (a3) PMSM portion of regular BLDD machine. (b1) Proposed BLDD machine. (b2) MGM portion of proposed BLDD machine. (b3) VPM portion of proposed BLDD machine.

![](https://assets.underline.io/uploads/markdown_image/1/image/534945c16b478183b1896e4b123720b8.jpg)
Fig.2 Comparison of regular and proposed BLDD machines. (a1) Back EMFs of modulation winding. (a2) Back EMFs of regular or vernier windings. (b1) MGM torque component. (b2) PMSM or VPM torque component.

 A Novel Brushless Dual-Electrical-Port Dual-Mechanical-Port Machine with Opening Stator Slot

This paper proposes a novel hybrid reluctance machine with dual-layer slot PMs and zero-sequence excitation. Dual-layer slot PMs are utilized to evoke DC-saturation-relieving and flux modulation effect respectively. By introducing zero-sequence current excitation which functions as virtual DC field source, extra dc field winding can be removed. Moreover, flux can be flexibly controlled through regulating zero-sequence current, thus speed range can be greatly extended. In this paper, the machine configuration, DC-saturation-relieving principle, flux modulation effect, and zero-sequence current control are introduced. Electromagnetic performance of the proposed machine is evaluated by finite element analysis (FEA), including variation of flux-linkage, back-EMF, as well as torque density with different zero-sequence currents. Furthermore, a prototype is manufactured and relevant experiments are performed to verified the correctness of FEA. 1. Introduction Nowadays, electric vehicles have attracted more and more attention due to fossil fuel depletion and severe environment pollution [1]. It is required that the motor operates at wide speed range [2]. Reluctance machine has come to be a good solution for electric vehicle application, which includes switched reluctance machine (SRM) [3], doubly salient machine (DSM), flux switching machine (FSM) [4], flux reversal machine (FRM), as well as variable flux reluctance machine (VFRM) [5]. In this paper, a novel DC-saturation-relieving flux-modulated hybrid reluctance machine with zero-sequence current excitation is proposed. Zero-sequence current, which acts as dc field excitation, is injected into ac and dc integrated winding, thus dc field winding is removed. 2. Machine configuration and operation principle The structure of flux-modulated DC-saturation-relieving hybrid reluctance machine with integrated ac and dc winding is presented in Fig. 1. Inner rotor consists of only iron core which provides mechanical robustness. Outer stator comprises only one set of winding, namely ac and dc integrated winding. Zero-sequence current, which acts as dc field excitation, is injected into ac and dc integrated winding. There are two layers of PMs on the slot opening. Inner layer slot PMs are radial magnetized to generate effective torque with flux modulation effect. Meantime, outer layer slot PMs are tangential magnetized to enhance torque density through relieving DC saturation. A dual inverter drive circuit is also showed in Fig. 1. Each phase winding is split into two sub-phase windings. Two sub-phase winding groups are driven by two inverters respectively and the neutral points of which are connected. The advantages of proposed machine are listed as following. (1) Since all excitation sources are mounted in the stator side and the rotor consists of only iron, no brush and slip rings are needed, which enhances mechanical robustness. (2) Radial magnetized PMs are mounted in the slot opening, which provides valid torque with flux modulation effect. Tangential magnetized PMs are placed in the slot opening, which improve torque density through relieving DC saturation. (3) Independent dc field winding is eliminated, which will leave more space for ac and dc integrated winding, thus more load current can be reached. (4) Through regulating zero-sequence current, flux can be flexibly regulated, thus extensive speed range can be realized. 3. Electromagnetic performance Fig. 2 shows on-load steady torque and no-load back-EMF with different zero-sequence currents. It can be seen that the on-load average torque is 3.4 Nm without zero-sequence current, 0.8 Nm with -10 A zero-sequence current, and 5.4 Nm with 10 A zero-sequence current. Also, the peak-to-peak value of no-load back-EMF is 12.8 V without zero-sequence current, 2.1 V with -10 A zero-sequence current, 28 V with 10 A zero-sequence current. By regulating zero-sequence current, on-load steady torque and no-load back EMF can be controlled, thus speed range of the proposed machine can be greatly extended. 4. Conclusion In this paper, the flux-modulated DC-saturation-relieving hybrid reluctance machine with zero-sequence current excitation is proposed. Zero-sequence current, acting as dc field excitation source, is injected into ac and dc integrated winding, thus dc field winding can be eliminated. Initial finite element analysis shows that the on-load steady torque and no-load back-EMF can be controlled by regulating zero sequence current, thus speed range of the proposed machine can be greatly extended. Later, DC-saturation-relieving principle and flux regulation principle will be illustrated in detail. In addition, more electromagnetic analysis will be performed and more conclusions will be drawn from the FEA results. Furthermore, a prototype of the proposed machine will be manufactured and relative tests will be performed. This work was supported in part by grants from the Hong Kong Research Grants Council, Hong Kong, China, under Project PolyU 152058/17E and PolyU 152143/18E.

**References:**

[1] X. Zhao, S. Niu, and X. Zhang, "Design of a New Relieving-DC-Saturation Hybrid Reluctance Machine for Fault-Tolerant In-Wheel Direct Drive," IEEE Trans. Ind. Electron., vol. 67, no. 11, pp. 9571-9581, Nov. 2020. [2] S. Hemmati and T. A. Lipo, "Field weakening of a surface mounted permanent magnet motor by winding switching," International Symposium on Power Electronics Power Electronics, Electrical Drives, Automation and Motion, Sorrento, 2012, pp. 736-740. [3] X. D. Xue, K. W. E. Cheng, and T. W. Ng, “Multi-objective optimization design of in-wheel switched reluctance motors in electric vehicles,” IEEE Trans. Ind. Electron., vol. 57, no. 9, pp. 29–29, Sep. 2010. [4] C. Yu and S. Niu, “Development of a magnetless flux switching machine for rooftop wind power generation,” IEEE Trans. Energy Convers., vol. 30, no. 4, pp. 1703–1711, Dec. 2015. [5] J. T. Shi, X. Liu, and D. Wu, “Influence of stator and rotor pole arcs on electromagnetic torque of variable flux reluctance machines,” IEEE Trans. Magn., vol. 50, no. 11, pp. 1–4, Nov. 2014

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/4d0f859ab7e3b8556f78ec13bbbba70b.jpg)
Fig. 1. Structure of flux-modulated DC-saturation-relieving hybrid reluctance machine and dual inverter drive control system.

![](https://assets.underline.io/uploads/markdown_image/1/image/8b10fb9e70ef75e14f27745d5fa53162.jpg)
Fig. 2. On-load steady torque and no-load back-EMF with different zero-sequence currents.

 Flux-Modulated DC-Saturation-Relieving Hybrid Reluctance Machine using Zero-sequence Current Excitation for Electric Vehicle Application

This paper proposed a new slot-PM-assisted reluctance generator with self-excited DC source for stand-alone wind power generation. The key is that several ac armature coils are used to provide electrical power to dc field winding through a rectifier. Compared with separately excited dc source, self-excited dc source is more suitable for stand-alone wind power generation and greatly reduces device costs since no independent dc source is needed. In this paper, the machine configuration and operation principle are introduced. Some leading dimension parameters are optimized to obtain maximum torque and minimum torque ripple. the feasibility of the optimal design with this novel structure is verified by finite element analysis and prototype testing. 1. Introduction: When it comes to provide energy to remote area, stand-alone wind power system with battery appeals to an excellent solution with relatively maintenance simplicity and low system cost [1-2]. The most important part of wind power generation system is the generator. Permanent magnet (PM) machine has been widely used as wind power generator due to simple structure, high efficiency, as well as high power density [3-4]. However, PM machines have no flux regulation ability. In this case hybrid excited machine, which excited by both PMs and dc field source, has been applied. The problem is that they all need independent dc excitation sources, which are not suitable for stand-alone wind power system. To solve abovementioned problem, several ac armature coils are used to supply electrical power to dc field winding through a rectifier, which are called ac rectifier winding. In this way, a novel slot-PM-assisted reluctance generator (SPMA-RG) with self-excited DC source (SEDC) is proposed. 2. Machine configuration and operation principle As shown in Fig. 1, a novel slot-PM-assisted reluctance generator (SPMA-RG) with self-excited DC source (SEDC) has three sets of stator windings, namely dc field winding, ac armature winding as well as ac rectifier winding. Radial magnetized PMs are placed in the slot opening of stator to enhance the torque density compared with traditional variable flux reluctance machine. Reluctance rotor consists of only iron core which provides mechanical robustness. The current produced by ac rectifier winding passes through controlled rectifier to provide excitation current to dc field winding. The advantages of the proposed generator are listed as following. (a) Since all excitation sources are placed in the stator side and the rotor comprises only iron, there are no brush and slip rings, which provides mechanical robustness. (b) Radial magnetized PMs are mounted in the slot openings which enhances the torque density compared with traditional variable flux reluctance machines. (c) Flux produced by dc field winding does not pass through the slot PMs, which will not lead to demagnetization of slot PMs. (d) Output voltage of ac armature winding can be controlled through regulating the dc field excitation, thus variable speed constant voltage can be realized in wind power generation system. (e) Several ac armature coils, namely ac rectifier winding, are used to provide excitation current to dc field winding through a controllable rectifier. In this way, no extra dc source is needed, which not only improves independent characteristic of wind power generation system, but also realizes energy feedback utilization. 3. Electromagnetic performance Fig. 2 shows rectified voltage and current generated from ac rectifier winding and rectified by the controllable rectifier. Furthermore, output voltage of the ac armature winding appears to be stable and achieves three-phase symmetric when rectified voltage and current arrive a stable value. It verified the feasibility of proposed wind power generation system. The ac rectifier winding can be used to provide dc excitation current to dc field winding through the controllable rectifier. 4. Conclusion In this paper, a novel slot-PM-assisted reluctance generator with self-excited DC source is proposed for wind power generation. Several ac armature coils, namely ac rectifier winding, provide electricity to dc field winding through a rectifier. This self-excited dc source greatly reduces device cost and improves the independent characteristic of the wind power system. In the full paper, the electromagnetic performance of proposed SPMA-RG is analyzed in detail. The prototype of proposed generator is manufactured and relative testing is conducted. This work was supported in part by grants from the Hong Kong Research Grants Council, Hong Kong, China, under Project PolyU 152058/17E and PolyU 152143/18E.

**References:**

[1] Ming-Shun Lu, Chung-Liang Chang, Wei-Jen Lee and Li Wang, “Combining the Wind Power Generation System with Energy Storage Equipment”, IEEE Trans. Ind. Appl., Vol.45, No.6, pp.2109-2115. November / Dec. 2009. [2] Ronan Doherty, Ronan Doherty and Mark O’Malley, “Establishing the Role That Wind Generation May Have in Future Generation Portfolios”, IEEE Trans. Power Sys., Vol.21, No.3, pp.1415-1422. Aug. 2006. [3] Y. Fan, K. T. Chau, and M. Cheng, “A new three-phase doubly salient permanent magnet machine for wind power generation,” IEEE Trans. Ind. Appl., vol. 42, no. 1, pp. 53–60, 2006. [4] Y. Chen, P. Pillay, and A. Khan, “PM wind generator topologies,” IEEE Trans. Ind. Appl., vol. 41, no. 6, pp. 1619–1626, 2005.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/a6eb1bf5fe4031c1e8acfed478176d03.jpg)
Fig. 1. Wind power generation system based on the proposed SPMA-RG.

![](https://assets.underline.io/uploads/markdown_image/1/image/b824cd8942dc7188e35ae3accd9e65e0.jpg)
Fig. 2. Rectified voltage/current and Back-EMF.

Comparative Study of Winding Configuration on a Multi-tooth Flux Switching Permanent Magnet Machine

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