A Real-Time Computation Model of the Electromagnetic Force and Torque for a Maglev Planar Motor with the Concentric Winding

Kou, Baoquan; Feng, Xiaoyun; Zhang, Lu; Zhang, Chaoning; Zhou, Yiheng

doi:10.3390/app7010098

Cited by 16 publications

(15 citation statements)

References 31 publications

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“…The following part will discuss the wrench model driven in RMCS-RCCS. As the authors in [9,15,16] discussed, these SAMs are derived in the first component of the magnetic field in the RMCS as rm B (1,1)…”

Section: Relation Between the Uwm And The Existing Samsmentioning

confidence: 99%

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Unified wrench model of an ironless permanent magnet planar motor with 2D periodic magnetic field

Zhu

Ding

Zhang

et al. 2018

IET Electric Power Applications

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An ironless permanent magnet planar motor (IPMPM) is a promising multi-degree-of-freedom driving device in many motion systems. In this study, a unified wrench model (UWM) of an IPMPM with two-dimensional (2D) periodic magnetic field is proposed by transforming the integral terms of the Lorentz force. The UWM is available for coils with arbitrary shape and arbitrary orientation and describes the general form of the wrench excited by all the harmonic components of the magnetic field. The following investigation shows that the existing (semi-) analytical models are special cases of the UWM. As a useful extension, a rapid modelling method based on the UWM is presented to reduce the modelling difficulty. Finally, the proposed UWM and the rapid modelling method are verified by triangular-shaped coils in different orientations.

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Section: Relation Between the Uwm And The Existing Samsmentioning

confidence: 99%

“…It shows great advantages in modelling time, real-time calculation cost and the model accuracy. Jansen et al [3,9,14], Kou et al [5,15], Peng et al [16] and Liu and co-workers [17] investigated the SAMs of rectangular-shaped coils. Liu et al [18] derived the wrench model of circular-shaped coils with SAM.…”

Section: Introductionmentioning

confidence: 99%

Unified wrench model of an ironless permanent magnet planar motor with 2D periodic magnetic field

Zhu

Ding

Zhang

et al. 2018

IET Electric Power Applications

View full text Add to dashboard Cite

show abstract

“…The two coordinate systems can be converted into each other with the coordinate transformation through the following equations [22]:…”

Section: Coordinate Definitionmentioning

confidence: 99%

“…The magnetic field analysis of the linear motor can be done under several hypotheses, such as the neglection of the end effects and the magnetic field saturation, etc. [22,25]. In Figure 1, the magnetic flux density B can be decomposed in the x and z directions as follows [26]:…”

Section: Magnetic Field Analysismentioning

confidence: 99%

Analysis and Design of a Maglev Permanent Magnet Synchronous Linear Motor to Reduce Additional Torque in dq Current Control

et al. 2018

Self Cite

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The maglev linear motor has three degrees of motion freedom, which are respectively realized by the thrust force in the x-axis, the levitation force in the z-axis and the torque around the y-axis. Both the thrust force and levitation force can be seen as the sum of the forces on the three windings. The resultant thrust force and resultant levitation force are independently controlled by d-axis current and q-axis current respectively. Thus, the commonly used dq transformation control strategy is suitable for realizing the control of the resultant force, either thrust force and levitation force. However, the forces on the three windings also generate additional torque because they do not pass the mover mass center. To realize the maglev system high-precision control, a maglev linear motor with a new structure is proposed in this paper to decrease this torque. First, the electromagnetic model of the motor can be deduced through the Lorenz force formula. Second, the analytic method and finite element method are used to explore the reason of this additional torque and what factors affect its change trend. Furthermore, a maglev linear motor with a new structure is proposed, with two sets of 90 degrees shifted winding designed on the mover. Under such a structure, the mover position dependent periodic part of the additional torque can be offset. Finally, the theoretical analysis is validated by the simulation result that the additionally generated rotating torque can be offset with little fluctuation in the proposed new-structure maglev linear motor. Moreover, the control system is built in MATLAB/Simulink, which shows that it has small thrust ripple and high-precision performance.

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“…No matter how MLPM are configured, they can all be classified as permanent magnet synchronous motors. For these permanent magnet synchronous motors, either planar or rotary, the commutation configured, the magnetic field distribution cannot be changed; thus, the regulation of coil or winding currents, i.e., the commutation becomes the only alternative to control these motors [7,9,10]. These coils or windings have to be commutated to provide adequate energy for six degrees of freedom (DOF) movements in three-dimension Euclidean space [11].…”

Section: Introductionmentioning

confidence: 99%

Raising Power Loss Equalizing Degree of Coil Array by Convex Quadratic Optimization Commutation for Magnetic Levitation Planar Motors

2018

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This paper proposes a convex quadratic optimization commutation method to raise the equalization degree of power loss distribution of coil array for magnetic levitation planar motors. Starting with the modeling of electromagnetic forces/torques and commutation of coil array, the global power loss and the local power losses of coil array are analyzed, and the power loss equalizing degree is defined to evaluate the power loss distribution of coil array being commutated dynamically. Then, in consideration of the fact that the global power loss is the quadratic function of commutated coil currents, the convex quadratic function optimization with equality constraint and boundary constraints is applied to commutate the coil array, and the power loss equalizing degree is raised by decreasing the boundary constraints of optimization. Taking the magnetically levitated planar motor under investigation as examples and using quadprog routine in Matlab Optimization Toolbox, which is a dedicated quadratic optimization routine, it is verified that the power loss equalizing the degree of coil array is raised gradually and the power loss distribution of coil array becomes more uniform along with decrease of the boundary constraints. The convex quadratic optimization commutation is verified experimentally on a constructed multi-dimension force/torque measurement platform. Using the convex quadratic optimization commutation can not only improve the power loss distribution of coil array of magnetically levitated planar motors, but also make it possible to select lower capacity power amplifiers to produce the identical desired electromagnetic forces and torques.

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A Real-Time Computation Model of the Electromagnetic Force and Torque for a Maglev Planar Motor with the Concentric Winding

Cited by 16 publications

References 31 publications

Unified wrench model of an ironless permanent magnet planar motor with 2D periodic magnetic field

Unified wrench model of an ironless permanent magnet planar motor with 2D periodic magnetic field

Analysis and Design of a Maglev Permanent Magnet Synchronous Linear Motor to Reduce Additional Torque in dq Current Control

Raising Power Loss Equalizing Degree of Coil Array by Convex Quadratic Optimization Commutation for Magnetic Levitation Planar Motors

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