Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array

Silveira, Marilia Amaral da; Marques, Leandro Dutra; Filho, Aly Ferreira Flores; Treviso, Felipe

doi:10.1590/2179-10742017v16i1878

Cited by 2 publications

(6 citation statements)

References 6 publications

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“…By means of those conditions, the solution of the potential equations can be obtained [ 5 ]. The equations for the x , y and z -components of the magnetic flux density vector in the air-gap are obtained from

and

.…”

Section: Methodsmentioning

confidence: 99%

“…The propulsion force that acts on the mover and produces movement over the plane was obtained by means of the Laplace’s force equation

[ 2 , 3 , 4 , 5 ]. This equation can be applied to the analysis of the planar actuator [ 8 ].…”

Section: Methodsmentioning

confidence: 99%

“…After some manipulation, the equation

is obtained, where

is the y -component of

. This scalar equation is the Poisson’s equation in terms of the vector magnetic potential

[ 5 ]. Its solution is the result of the sum of two terms: a homogeneous term that must satisfy the Laplace’s equation and a particular term solved by the Poisson’s equation.…”

Section: Methodsmentioning

confidence: 99%

“…In Reference [ 3 ], the authors present an overview of analytical models for the design of linear and planar motors. Analytical models for computing the magnetic flux density and electromagnetic forces in linear motors were presented in References [ 4 , 5 ]. In Reference [ 6 ], the authors proposed a design methodology for linear actuators; this study considered thermal and electromagnetic coupling with geometrical and temperature constraints.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Static Characterization of the Driving, Normal and Stall Forces of a Double-Sided Moving-Permanent Magnet-Type Planar Actuator Based on Orthogonal Planar Windings

Silveira

Susin

Filho

et al. 2018

Sensors

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This work presents a study of the traction, normal and stall forces in a two-sided planar actuator with orthogonal planar windings and a mover that comprises two cars magnetically coupled to each other through two pairs of permanent magnets (PMs). There is no ferromagnetic armature core because of the permanent magnets array in the mover and orthogonal traction forces can be generated in order to move both cars jointly in any direction on a plane. The stall force is the minimal force necessary to break up the magnetic coupling between the two cars. When one of the cars is subjected to an external force through the x- or y-axis, the cars can become out of alignment with respect to each other and the planar actuator cannot work properly. The behavior of the forces was modelled by numerical and analytical methods and experimental results were obtained from tests carried out on a prototype. The average sensitivity of the measured static propulsion planar force along either axis is 4.48 N/A. With a 20-mm displacement between the cars along the direction of the x-axis and no armature current, a magnetic stall force of 17.26 N is produced through the same axis in order to restore the alignment of the two cars.

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and

.…”

Section: Methodsmentioning

confidence: 99%

“…The propulsion force that acts on the mover and produces movement over the plane was obtained by means of the Laplace’s force equation

[ 2 , 3 , 4 , 5 ]. This equation can be applied to the analysis of the planar actuator [ 8 ].…”

Section: Methodsmentioning

confidence: 99%

“…After some manipulation, the equation

is obtained, where

is the y -component of

. This scalar equation is the Poisson’s equation in terms of the vector magnetic potential

[ 5 ]. Its solution is the result of the sum of two terms: a homogeneous term that must satisfy the Laplace’s equation and a particular term solved by the Poisson’s equation.…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static Characterization of the Driving, Normal and Stall Forces of a Double-Sided Moving-Permanent Magnet-Type Planar Actuator Based on Orthogonal Planar Windings

Silveira

Susin

Filho

et al. 2018

Sensors

Self Cite

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show abstract

“…[5][6][7] More analysis have been conducted using magnetic scalar potential (MSP) method as it is more efficient in describing the magnetic field distribution contributed by PMs. 8,9 It should be noted that the above-mentioned analytical studies do not provide an exact solution for the air-gap field distribution including all boundaries conditions in Halbach linear generators with the slotted stator, although researches, in regard to the modeling of slotting effect, have been conducted. [10][11][12] The main purpose of this work is to present a general analytical model based on the magnetic scalar potential method for Halbach linear generator with slotted stators.…”

Section: Introductionmentioning

confidence: 99%

Analytical modelling of Halbach linear generator incorporating pole shifting and piece-wise spring for ocean wave energy harvesting

Tan¹,

Lin

2017

AIP Advances

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Halbach permanent magnet (PM) array has attracted tremendous research attention in the development of electromagnetic generators for its unique properties. This paper has proposed a generalized analytical model for linear generators. The slotted stator pole-shifting and implementation of Halbach array have been combined for the first time. Initially, the magnetization components of the Halbach array have been determined using Fourier decomposition. Then, based on the magnetic scalar potential method, the magnetic field distribution has been derived employing specially treated boundary conditions. FEM analysis has been conducted to verify the analytical model. A slotted linear PM generator with Halbach PM has been constructed to validate the model and further improved using piece-wise springs to trigger full range reciprocating motion. A dynamic model has been developed to characterize the dynamic behavior of the slider. This analytical method provides an effective tool in development and optimization of Halbach PM generator. The experimental results indicate that piece-wise springs can be employed to improve generator performance under low excitation frequency.

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Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array

Cited by 2 publications

References 6 publications

Static Characterization of the Driving, Normal and Stall Forces of a Double-Sided Moving-Permanent Magnet-Type Planar Actuator Based on Orthogonal Planar Windings

Static Characterization of the Driving, Normal and Stall Forces of a Double-Sided Moving-Permanent Magnet-Type Planar Actuator Based on Orthogonal Planar Windings

Analytical modelling of Halbach linear generator incorporating pole shifting and piece-wise spring for ocean wave energy harvesting

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