Analytical modeling of hybrid electromagnetic excited linear synchronous motor

Ebrahimi, Saeed Hasan; Vahedi, A.

doi:10.1109/icelmach.2016.7732598

Cited by 2 publications

(4 citation statements)

References 11 publications

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“…These equations are unfit for mathematical analysis and design methodology because (10) and (11) include complete elliptic integral. For further simplification of these equations, following subsection explains the Landen's transformation.…”

Section: A Magnetic Flux Density Derived By Vector Potentialmentioning

confidence: 99%

“…By substituting (17) and (21) into (10) and (11), the magnetic flux density along z' and r' direction is calculated.…”

Section: B Landen's Transformationmentioning

confidence: 99%

“…Then, the magnetic flux density along with z' and r' direction at point P are calculated by substituting z' and r' coordinate derived from (27) and (28) into (10) and (11). As a result, (10) and (11) are rewritten as (29) and (30) with (31) and (32). Finally, magnetic flux density along radial direction at P, B r have to be clarified because the Lorentz force is generated by B r .…”

Section: Conversion From Magnet Coordinate To Csm Coordinatementioning

confidence: 99%

“…Various researches realized the mathematical modeling and performance improvement of motors [10]. The magnetic induction field by cylindrical magnets and coils are analyzed mathematically [11].…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Modeling of Semicircular Linear Motor Based on Vector Potential With Landen's Transformation

Asai

Shimono

Fujimoto

et al. 2019

IEEE Trans. on Ind. Applicat.

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A semicircular linear motor that realizes a motion along circumference of the circle has been developed. To settle the optimal design of this motor by mathematical analysis, the theoretical equation of motor performance has to be clarified. In this paper, the mathematical modeling of semicircular linear motor is carried out from the viewpoint of Lorentz force and magnetic flux density derived by vector potential. By comparing calculated, analyzed, and measured magnetic flux density and thrust force, the validity of derived mathematical model is confirmed. In addition, the cause of difference among three results is also discussed.

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Section: A Magnetic Flux Density Derived By Vector Potentialmentioning

confidence: 99%

“…By substituting (17) and (21) into (10) and (11), the magnetic flux density along z' and r' direction is calculated.…”

Section: B Landen's Transformationmentioning

confidence: 99%