Equations of State Variables of Electromagnetic Circuits in Engineering Education of MEMS-Specialists

Tchaban, Vasyl; Kostiuchko, Serhii; Krokhmalny, Bohdan

doi:10.1109/memstech53091.2021.9468082

Cited by 1 publication

(4 citation statements)

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“…The function rot is the rotor of a three-dimensional vector field the coordinates of which are determined by the determinant of the third order. The first row is the coordinates of the coordinate axes x, y, z, the second corresponds to partial differentiation operators, and the third corresponds to the coordinate of the vector field [11,12].…”

Section: Researches Methodologymentioning

confidence: 99%

“…Thus, the electrical conductivity of the construction materials of electrical engineering devices can change along spatial coordinates with a jump from zero to finite values, and in some cases to infinity. The equations of electrodynamics form the basis of mathematical models for this class of problems [12].…”

Section: Literature Reviewmentioning

confidence: 99%

“…Let's write the boundary conditions for the vectors , BH at the interface of two homogeneous environments with the normal vector 0 n , respectively [12] equation ( 12), ( 13):…”

Section: To the Explanation Of The Definition Of Roth Components In C...mentioning

confidence: 99%

“…As a rule, the conditions of quasistationarity are always fulfilled. In a quasi-stationary field in a conductive environment in the absence of a extraneous currents field, the current density vector is determined only by conduction currents [10,12].…”

Section: To the Explanation Of The Definition Of Roth Components In C...mentioning

confidence: 99%

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Równania Pola Elektromagnetycznego W Środowisku Nieliniowym

Lyshuk,

Tchaban,

Tkachuk

et al. 2024

IAPGOS

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The paper proposes electromagnetic field equations from the point of view of their adaptation to numerical methods. Maxwell's equations with partial derivatives are used, written concerning field vectors, which most fully reproduce the picture of physical processes in electrical engineering devices. The values of these vectors provide comprehensive information about the field at any spatio-temporal point. The concept of creating mathematical models of electrical devices adequate to physical processes has been developed. Mathematical transformations are carried out according to the rules of differential calculus. Dynamic processes in the elements of electrotechnical devices were analyzed using the apparatus of mathematical modeling. An algorithm for implementing differential equations with partial derivative numerical methods using computer simulation was implemented. The obtained results made it possible to understand the nature of electromagnetic phenomena in nonlinear media. The paper provides calculations of the field parameters in a flat ferromagnetic plate and the groove of the rotor of an electric machine.

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Section: Researches Methodologymentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

“…Let's write the boundary conditions for the vectors , BH at the interface of two homogeneous environments with the normal vector 0 n , respectively [12] equation ( 12), ( 13):…”

Section: To the Explanation Of The Definition Of Roth Components In C...mentioning

confidence: 99%

Section: To the Explanation Of The Definition Of Roth Components In C...mentioning

confidence: 99%

See 2 more Smart Citations