Modeling and Analysis of a New Cylindrical Magnetic Levitation Gravity Compensator with Low Stiffness for the 6-DOF Fine Stage

Zhang, He; Kou, Baoquan; Zhang, Hailin

doi:10.1109/tie.2014.2365754

Cited by 36 publications

(12 citation statements)

References 39 publications

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“…Finally, the actual control law of the system is obtained, which makes the whole system achieve the desired performance. 28 Design of contraction backstepping controller. According to the dynamic equation of z-axis in formula ( 12)…”

Section: Design Of Adaptive Contraction Backstepping Controller For Mlpmmentioning

confidence: 99%

Magnetic levitation planar motor and its adaptive contraction backstepping control for logistics system

Wang

Yang

Yan

et al. 2021

Advances in Mechanical Engineering

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Magnetic levitation planar motor has the characteristics of no friction loss, fast dynamic response, and real-time change of transportation track according to the demand. Therefore, a kind of magnetic levitation planar motor based on logistics transportation system is designed, which can meet the transportation needs of the logistics system through any combination of unit modules. Firstly, based on the mechanical model of magnetic levitation float in Halbach permanent magnet array magnetic field, establishing the thrust and torque model of maglev float. Secondly, according to the force/current relationship, considering the influence of uncertain parameters and load disturbance on the system, the decoupling control model of six degree of freedom motion system of magnetic levitation planar motor is established. Thirdly the adaptive contraction backstepping (ACB) controller is derived that can eliminate the uncertain disturbance of the nonlinear model and realize the real-time control of the system. The simulation and experimental results demonstrate that the method has expected response speed, strong robustness, and good dynamic tracking performance. Applying it to the logistics transportation system described in this article and has a good control effect.

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Section: Design Of Adaptive Contraction Backstepping Controller For Mlpmmentioning

confidence: 99%

Magnetic levitation planar motor and its adaptive contraction backstepping control for logistics system

Wang

Yang

Yan

et al. 2021

Advances in Mechanical Engineering

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“…Minimising power dissipation can effectively reduce heat dissipation pressure of the machine and increase the force density of the table. For the refinement stage, to prevent the vibration transmission from the coarse stage to the upper silicon wafer during lithography, the vertical stiffness of the planar tables should be kept as low as possible [24]. The mass of the magnet array determines the volume and inertia of the table.…”

Section: Dimension Optimisation Of Coils and Magnetsmentioning

confidence: 99%

Optimisation method of magnetic levitation actuator for rotary table

Zheng

et al. 2020

IET Electric Power Applications

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This study presents a general optimisation method for determining the dimensions of the magnetic levitation (maglev) actuator for rotary tables. Combined with an improved electromagnetic numerical model of the maglev rotary tables, the optimal thickness dimensions of coils and magnets are obtained by the evolutionary optimisation algorithm. Different from the existing magnetic force model built by the harmonic analysis method, the improved numerical model involves the clearances of the neighbouring magnets in the circular magnet array and applies the numerical integration method to solve the complex Lorentz integrals. According to the evaluation function based on the numerical force model, the optimal thickness dimensions are determined via an evolutionary optimisation algorithm. By this method, the size of coils and magnets in the rotary table with the circular Halbach magnet array can be determined accurately and directly, rather than obtaining a single structure dimension by an analytical approach. In this work, the method is applied to optimise the dimensions of a maglev rotary table, and a prototype is manufactured according to the obtained optimal parameters. The experimental and simulation results verify the accuracy and validity of the proposed optimisation design method.

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“…Magnetic springs are being researched for use in vibration isolators [1][2][3][4][5][6][7][8][9][10][11][12][13][14], energy scavenging devices [15][16][17], robot actuators [18], as well as permanent magnet bearings [19][20][21][22]. All of the magnet springs that have been studied to-date appear to operate by using the north-south repulsion between vertical magnets [3-8, 17, 18] or horizontally positioned magnets [1-3, 9, 11, 18, 21].…”

Section: Introductionmentioning

confidence: 99%

“…Hol [1] investigated the vibration isolation magnet arrangement as shown in Figure 1(a). In this arrangement, the central magnet is unstable when being centered [7,12,13,22], but as the side magnets are longer than the center magnet, a surprisingly constant force can be created, and this force relationship is shown in Figure 2(a). If the central magnet is made to be the same length as the side magnet, as shown in Figure 1(b), then a remarkably linear force relationship can be created, as illustrated in Figure 2(b).…”

Section: Introductionmentioning

confidence: 99%

Investigating the Performance of a New Type of Preloaded Linear Stroke Length Magnetic Spring

Baninajar¹,

Bird²,

Albarran³

2021

PIER C

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This paper presents the analytic analysis and proof-of-principle prototyping of a new type of magnetic spring with preload and a linear stroke length. An analytic based magnetic charge modeling approach is utilized to investigate design rules that can maximize the magnetic spring's energy density, stiffness characteristics, and linearity. It is shown that whilst the proposed magnetic spring has a lower mass and energy density than a mechanical spring, the magnetic spring offers several unique characteristics, such as contact-free operation, inherent preload, as well as over-force failure protection. In addition, the operating principle of the presented magnetic spring can be extended to realize both positive and negative variable stiffness adjustment characteristics.

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Modeling and Analysis of a New Cylindrical Magnetic Levitation Gravity Compensator with Low Stiffness for the 6-DOF Fine Stage

Cited by 36 publications

References 39 publications

Magnetic levitation planar motor and its adaptive contraction backstepping control for logistics system

Magnetic levitation planar motor and its adaptive contraction backstepping control for logistics system

Optimisation method of magnetic levitation actuator for rotary table

Investigating the Performance of a New Type of Preloaded Linear Stroke Length Magnetic Spring

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