非线性环境中的电磁场方程

V. Lyshuk, Vasyl Tchaban, Anatolii Tkachuk, Valentyn Zablotskyi, Yosyp Selepyna
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摘要

本文从电磁场方程与数值方法相适应的角度提出了电磁场方程。文中使用了带有偏导数的麦克斯韦方程,该方程是关于场矢量的,最全面地再现了电气工程设备中的物理过程。这些矢量的值提供了任何时空点的场的综合信息。建立与物理过程相适应的电气设备数学模型的概念已经形成。数学变换是根据微积分规则进行的。利用数学建模装置分析了电工设备元件的动态过程。利用计算机模拟的偏导数数值方法实现了微分方程的算法。所获得的结果有助于理解非线性介质中电磁现象的本质。论文提供了平面铁磁板和电机转子凹槽中的场参数计算。
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RÓWNANIA POLA ELEKTROMAGNETYCZNEGO W ŚRODOWISKU NIELINIOWYM
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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