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Electromagnetic AC and impulse levitations of conductive, dielectric, and magnetic ball

100%

Spałek D.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2021

tom Vol. 69, nr 1

art. no. e136040

The paper presents an analytical solution of levitation problem for conductive, dielectric and magnetically anisotropic ball. The levitation exerts either an AC or impulse magnetic field. Both the Lorentz and material electromagnetic forces (of magnetic matter) could lift the ball in a gravitational field. The electromagnetic field distribution is derived by means of variables separation method. The total force is evaluated by Maxwell stress tensor (generalized), co-energy and Lorentz methods. Additionally, power losses are calculated by means of Joule density and the Poynting vector surface integrals. High frequency asymptotic formulas for the Lorentz force and power losses are presented. All analytical solutions derived could be useful for rapid analysis and design of levitations systems. Finally, some remarks about considered levitations are formulated.

Nonlinear magnetic circuit – self inductance definitions, passivity and waveforms distortion

100%

Spałek D.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2022

tom Vol. 70, nr 3

art. no. e141003

The generalized magnetizing curve series for the nonlinear magnetic circuit is proposed. Subsequently, three definitions of self-inductance for the nonlinear magnetic circuit are compared. The passivity of the magnetic circuit is reconsidered. Three theorems that describe features of Fourier harmonics of distorted waveforms have been proved.

Solution of nonlinear stiff differential equations for a three-phase no-load transformer using a Runge–Kutta implicit method

45%

Baron B. , Kolasińska-Płuska J. , Łukaniszyn M. , Spałek D. , Kraszewski T.

Archives of Electrical Engineering

2022

tom Vol. 71, nr 4

1081--1106

The paper presents an approach to differential equation solutions for the stiff problem. The method of using the classic transformer model to study nonlinear steady states and to determine the current pulses appearing when the transformer is turned on is given. Moreover, the stiffness of nonlinear ordinary differential state equations has to be considered. This paper compares Runge–Kutta implicit methods for the solution of this stiff problem.