Analytical Calculation of Interaction Force Between Orthogonally Magnetized Permanent Magnets

Janssen, J.L.G.; Paulides, Jjh Johannes; Lomonova, E. A.; Bölöni, Francisc; Tounzi, A.; Piriou, F.

doi:10.1166/sl.2009.1049

Cited by 35 publications

(29 citation statements)

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“…The analytical surface charge model is an elegant way to evaluate electromechanical properties of magnet structures [2,3,[5][6][7][8].…”

Section: Abstraction Of the Analytical Modelmentioning

confidence: 99%

“…It is based on a scalar potential formulation of Maxwell's equations. The most important assumption of this static model assumes are that the relative permeability of the permanent magnets µ r = 1, which has a small but well-predictable influence on the force as is experimentally shown in [3,5,7,8] …”

Section: Abstraction Of the Analytical Modelmentioning

confidence: 99%

“…If the superposition principle is employed, it is possible to model the field of multiple magnets and to model cuboidal magnets with an arbitrary magnetization vector [3,7,8,10].…”

Section: Abstraction Of the Analytical Modelmentioning

confidence: 99%

“…The analytical equations that describe the interaction force between these permanent magnets, based on the surface charge model, have been successfully derived and validated with experiments and FEA in [3,[5][6][7][8]. The force between two permanent magnets may be obtained with Virtual work [5,8] or by the Lorentz force method [3,6,7].…”

Section: Force Calculationmentioning

confidence: 99%

“…1(b). The analytical form of this vector has been derived and validated in [5,6] (parallel magnetization) and in [3,7,8] (perpendicular magnetization). As (6) shows, the integrand in the Lorentz force equation (6) concerns a multiplication of the flux density B 1 over the second magnet's surfaces which have a magnetic charge density σ m .…”

Section: Force Calculationmentioning

confidence: 99%

See 4 more Smart Citations

Study of Magnetic Gravity Compensator Topologies Using an Abstraction in the Analytical Interaction Equations

Janssen¹,

Paulides²,

Lomonova³

2012

PIER

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Abstract-This paper identifies an abstraction that is found in the equations that describe the 3D interaction between cuboidal permanent magnets and applies this to the magnetic design of a gravity compensator. It shows how the force between magnets and its position-sensitivity, important design parameters for magnetically levitated 6-DoF gravity compensators, may be translated into the magnetic domain and verifies this with 3D analytical models. With this information, a number of basic gravity compensator topologies is derived. These topologies are subsequently investigated in more detail, with specific focus on combining a high force with low position sensitivity.

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“…The analytical surface charge model is an elegant way to evaluate electromechanical properties of magnet structures [2,3,[5][6][7][8].…”

Section: Abstraction Of the Analytical Modelmentioning

confidence: 99%

Section: Abstraction Of the Analytical Modelmentioning

confidence: 99%

“…If the superposition principle is employed, it is possible to model the field of multiple magnets and to model cuboidal magnets with an arbitrary magnetization vector [3,7,8,10].…”

Section: Abstraction Of the Analytical Modelmentioning

confidence: 99%