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采用元胞法的静电感应微电机的静电准静态分析。

Electro-quasistatic analysis of an electrostatic induction micromotor using the cell method.

机构信息

University of Las Palmas de Gran Canaria, Department of Electrical Engineering, Institute for Applied Microelectronics, Campus Univ. de Tafira s/n, 35017 Las Palmas de Gran Canaria, Spain.

出版信息

Sensors (Basel). 2010;10(10):9102-17. doi: 10.3390/s101009102. Epub 2010 Oct 11.

Abstract

An electro-quasistatic analysis of an induction micromotor has been realized by using the Cell Method. We employed the direct Finite Formulation (FF) of the electromagnetic laws, hence, avoiding a further discretization. The Cell Method (CM) is used for solving the field equations at the entire domain (2D space) of the micromotor. We have reformulated the field laws in a direct FF and analyzed physical quantities to make explicit the relationship between magnitudes and laws. We applied a primal-dual barycentric discretization of the 2D space. The electric potential has been calculated on each node of the primal mesh using CM. For verification purpose, an analytical electric potential equation is introduced as reference. In frequency domain, results demonstrate the error in calculating potential quantity is neglected (<3‰). In time domain, the potential value in transient state tends to the steady state value.

摘要

已经使用单元法对感应微电机进行了电准静态分析。我们采用了电磁定律的直接有限格式(FF),因此避免了进一步的离散化。单元法(CM)用于求解微电机整个区域(2D 空间)的场方程。我们将场定律重新表述为直接 FF,并分析物理量,以明确量值与定律之间的关系。我们在 2D 空间应用了二维空间的原始对偶重心离散化。使用 CM 在原始网格的每个节点上计算电势。为了验证目的,引入了一个解析电势方程作为参考。在频域中,结果表明计算电势的误差可以忽略(<3‰)。在时域中,瞬态状态下的电势值趋于稳态值。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a616/3230953/70dccf967e56/sensors-10-09102f1.jpg

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