This paper investigates the influence of some leading design parameters on the force performance of a new complementary and modular linear flux-switching permanent-magnet (LFSPM) motor. The originality of the proposed structure is that each phase consists of two "E"-shaped modules, whose positions are mutually 180 degrees electrical degrees apart. Also, there is a flux barrier between the two modules. First, the structure and influence of some leading design parameters on the force performance of the complementary and modular LFSPM motor are analyzed. Then, a conventional LFSPM motor obtained directly from a rotary FSPM motor is optimized and compared with the complementary and modular LFSPM motor based on finite-element method. The results reveal that the proposed motor has sinusoidal and symmetrical three-phase back electromotive force waveforms and smaller cogging force and force ripple than the existing motors. Moreover, a prototype of the proposed motor is built to validate the study.

This paper proposes a new linear fault-tolerant permanent-magnet (PM) vernier (LFTPMV) machine, which can offer high thrust by using the magnetic gear effect. Both PMs and windings of the proposed machine are on short mover, while the long stator is only manufactured from iron. Hence, the proposed machine is very suitable for long stroke system applications. The key of this machine is that the magnetizer splits the two movers with modular and complementary structures. Hence, the proposed machine offers improved symmetrical and sinusoidal back electromotive force waveform and reduced detent force. Furthermore, owing to the complementary structure, the proposed machine possesses favorable fault-tolerant capability, namely, independent phases. In particular, differing from the existing fault-tolerant machines, the proposed machine offers fault tolerance without sacrificing thrust density. This is because neither fault-tolerant teeth nor the flux-barriers are adopted. The electromagnetic characteristics of the proposed machine are analyzed using the time-stepping finite-element method, which verifies the effectiveness of the theoretical analysis.

新型模块化初级永磁直线电机的永磁体和电枢绕组都置于初级短动子，而次级长定子结构简单，仅由导磁铁心组成，若应用在轨道交通等长定子等场合，可大大降低系统成本。在深入分析现有电机结构特点的基础上，提出一种基于磁通切换原理磁路互补的新结构。结构的互补性使每相绕组的反电势更正弦、电机总的定位力更小。介绍了模块化初级永磁直线电机的结构特点和运行原理，并基于有限元法，研究了其静态特性，具体包括对空载和单相绕组通电时的磁场及气隙磁通密度、绕组永磁磁链、空载反电动势、定位力、绕组电感以及静态推力等，并分析了永磁磁场和电枢磁场之间的相互耦合作用对电感特性的影响。理论分析和样机实验结果验证了设计方案的正确性和有效性。

新型模块化初级永磁直线电机的永磁体和电枢绕组都置于初级短动子，而次级长定子结构简单，仅由导磁铁心组成，若应用在轨道交通等长定子等场合，可大大降低系统成本。在深入分析现有电机结构特点的基础上，提出一种基于磁通切换原理磁路互补的新结构。结构的互补性使每相绕组的反电势更正弦、电机总的定位力更小。介绍了模块化初级永磁直线电机的结构特点和运行原理，并基于有限元法，研究了其静态特性，具体包括对空载和单相绕组通电时的磁场及气隙磁通密度、绕组永磁磁链、空载反电动势、定位力、绕组电感以及静态推力等，并分析了永磁磁场和电枢磁场之间的相互耦合作用对电感特性的影响。理论分析和样机实验结果验证了设计方案的正确性和有效性。

Linear flux-switching permanent magnet (LFSPM) motors with both permanent magnets and armature windings on the short primary mover have attracted considerable attention due to their simple and cheap stator which only consists of iron. Hence, this kind of liner motor is very suitable for long stator applications such as in urban rail transportations. However, the conventional LFSPM motors directly split from rotary FSPM motor suffer from drawbacks such as unbalanced magnetic circuit of end coil, heavy mover, and bigger cogging force and force ripple. Modular LFSPM (MLFSPM) motors can mitigate the problem of unbalanced magnetic circuit of end coil. But some MLFSPM motors with different stator/mover pole pitch tau(s)/tau(m) = 12/14, 12/10 don't have complementary phase armature windings, which will lead to asymmetrical and non-sinusoidal back-electromotive force, bigger cogging force and thrust force ripple. The key of this paper is to propose, investigate, and compare four complementary and modular structures for the LFSPM motors with different tau(s)/tau(m). The electromagnetic performance and dimensions of the proposed complementary MLFSPM motors with different tau(s)/tau(m) are investigated, compared and confirmed by the means of finite element analysis and experimental results. Based on the analysis results, two complementary MLFSPM motors with tau(s)/tau(m) = 12/13 are chosen to be the two best motors, which can offer the biggest thrust force, relatively smaller cogging force and thrust force ripple, and shorter mover length.

The conventional linear flux-switching permanent-magnet (FSPM) motors directly split from a rotary FSPM motor suffer from drawbacks such as unbalanced magnetic circuit of end coil, bigger cogging force, and force ripple. In this paper, to reduce cogging force and thrust force ripple, some complementary and modular linear FSPM (LFSPM) (MLFSPM) motors with mover/stator pole pitch ratio tau(m)/tau(s) of about one, namely, tau(m)/tau(s) = 10/12, 11/12, 12/12, 13/12, 14/12, 15/12, will be investigated using finite-element method (FEM) and experimental method at first. Then, another new LFSPM motor with tau(m)/tau(s) = 3 is analyzed. Based on tau(m)/tau(s) = 3, some new MLFSPM motors are designed, investigated, and compared using FEM. To fully investigate these motors, the optimal MLFSPM motor with tau(m)/tau(s) = 3 is quantitatively compared with the two optimal motors with tau(m)/tau(s) approximate to 1. Finally, the general design principle for this series of MLFSPM motors with different tau(m)/tau(s) values is concluded.

In this paper, a complementary and modular linear flux-switching permanent magnet (MLFSPM) motor is investigated, in which both the magnets and armature windings are placed in the short mover, while the long stator consists of iron core only. The proposed MLFSPM motor incorporates the high power density of a linear permanent magnet synchronous motor and the simple structure of a linear induction motor. It is especially suitable for long stator applications such as urban rail transit. The objective of this paper is to build the mathematical model for the purpose of control of this motor. The simulation results by means of finite-element analysis (FEA) verified the theoretical analysis and the effectiveness of this model. Both the analytical model and the FEA results are validated by experiments based on a prototype motor.