Field evaluation for electromagnetic torque components

Spałek, D.; Burlikowski, W.

doi:10.1049/ip-epa:19970435

Cited by 7 publications

(5 citation statements)

References 1 publication

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“…c) Physically, the electrostatic levitation force is driven by material force F Nz acting only at the surface of the ball where the electric permittivity changes in step way (the material force density is equal to zero inside the homogeneous ball). Mathematically, the levitation force describes the inhomogeneity component [5, 12, 13, 16, 20 ]. The inhomogeneous component describes the material force density (acting on dielectric) as follows:

N = - \frac{1}{2} E_{u} E_{w} normalgrad (ε_{u w}),

where dummy index summation is implied (i.e.…”

Section: Electrostatic Levitationmentioning

confidence: 99%

“…The novelty of the analytical solutions derived lays in considering – material forces arising at the surface of balls described mathematically by inhomogeneity component [12, 16 ], – dielectric and magnetic anisotropy (normal in a spherical coordinate system) of levitating balls [17 ], – extension (in comparison with [2, 3 ]) of forced fields class in the form of polynomials (1 ) and (27 ), – analysis of vertical levitations stability, and – evaluation of oscillation frequencies. …”

Section: Introductionmentioning

confidence: 99%

“…The paper considers both electrostatic and magnetostatic levitations driven only by material forces acting on dielectric, paramagnetic, and ferromagnetic materials. Static levitation forces act either separately [1, 7, 8 ] or together with other electromagnetic forces ([2, 4, 11–13 ] and Table 1 ).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electrostatic and magnetostatic levitations of ball – forces, stability and oscillations frequencies

Spałek

2020

IET Science, Measurement &Amp; Technology

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The study presents approaches to both electrostatic and magnetostatic levitations. For anisotropic balls, both dielectric and magnetic field distributions are derived in analytical forms by means of the variable separation method. Distributions are given by power functions and polynomials either Legendre's (for the electrostatic problem) or the associated polynomials (for the magnetostatic problem). The levitation forces are evaluated by means of four methods, i.e. Maxwell stress tensor generalised method, co‐energy method, material force density, and equivalent dipole analysis for both levitations. Levitation forces versus either electric permittivity or magnetic permeability are presented. The stability of the equilibrium points is investigated. The frequencies of free and damped oscillations are evaluated.

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N = - \frac{1}{2} E_{u} E_{w} normalgrad (ε_{u w}),

where dummy index summation is implied (i.e.…”

Section: Electrostatic Levitationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electrostatic and magnetostatic levitations of ball – forces, stability and oscillations frequencies

Spałek

2020

IET Science, Measurement &Amp; Technology

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“…Due to assumption that there are forces induced by magnetic hysteresis, permanent magnets, magnetic anisotropy and reluctivity change [1,3,11,12,[16][17][18]. The electromagnetic levitation is immanently connected with the presence of power losses.…”

Section: Magnetic Field Excitationmentioning

confidence: 99%

“…Magnetic levitation caused by inhomogeneity force component appears on outer surface of ferromagnetic objects where the reluctivity changes [10][11][12][13][14][15]. Magnetic levitation can also be caused by magnets (permanent, electromagnets) especially in maglev techniques.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Levitation of Nonmagnetic Disc

Spałek¹

2016

PIER M

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Abstract-The paper presents analytical solution of nonmagnetic and conductive disc levitation problem. The alternating magnetic field exerts eddy currents in conductive disc and levitation force, subsequently. The electromagnetic field and eddy currents distributions are determined. The force acting upon nonmagnetic disc (Lorentz, Maxwell, coenergy methods) and power losses (Joule volume integral, Poynting surface integral methods) are evaluated. For example, levitation force and power losses versus field frequency are figured out. Additionally, an optimization task for power losses at constant disc volume is solved.

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Modification of Park variable transformation for wye‐connected winding without neutral wire

Burlikowski

2011

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose -The purpose of this paper is to present a modification of the Park variable transformation for a three-phase wye-connected winding without neutral wire. A new physical interpretation of the winding equivalent circuit is proposed. Design/methodology/approach -An equivalent circuit representing reluctance motor stator winding is rearranged to enable easier physical interpretation of obtained voltage equation. The Park transformation and constraints resulting from Kirchhof's laws are then applied to obtain a two-axis mathematical model of the motor. Findings -A new physical two-phase interpretation of the voltage equation for a three-phase wye-connected winding without neutral wire is proposed. A novel two-axis transformation is formulated for all variables. Compared to the Park transformation, which is the same for all variables, in the proposed transformation its matrices for currents and voltages/flux linkages are different, yet strongly interconnected.Research limitations/implications -The proposed transformation is formulated for a specific type of winding connection scheme. Therefore, it is limited in its application. Practical implications -From the practical point of view, the proposed transformation could be very useful as it applies to the most popular stator winding connection scheme. Its main advantages are fewer number of trigonometric parameters in the matrices and measurability of all currents and voltages present in its voltage equations. It could be of special importance for electric machines with non-sinusoidal field distribution (e.g. Brushless DC). Originality/value -The paper presents a new type of variable transformation for three-phase electric machines with wye-connected windings without neutral wire. Proposed transformation combines different transformations for currents and voltages/flux linkages.

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Field evaluation for electromagnetic torque components

Cited by 7 publications

References 1 publication

Electrostatic and magnetostatic levitations of ball – forces, stability and oscillations frequencies

Electrostatic and magnetostatic levitations of ball – forces, stability and oscillations frequencies

Electromagnetic Levitation of Nonmagnetic Disc

Modification of Park variable transformation for wye‐connected winding without neutral wire

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