- 期刊
A 2D Finite Element Procedure for Magnetic Field Analysis taking into Account a Vector Preisach Model
摘要
The main purpose of this paper is to incorporate a refined hysteresis model, viz. a vector Preisach model, in 2D magnetic field computations. To this end the governing Maxwell equations are rewritten in a suitable way, which allows to take into account the proper magnetic material parameters and, moreover, to pass to a variational formulation. The variational problem is solved numerically by a FE approximation, using a quadratic mesh, followed by the time discretisation based upon a modified Cranck Nicholson algorithm. The latter includes a suitable iteration procedure to deal with the nonlinear hysteresis behaviour. Finally, the effectiveness of the presented mathematical tool has been confirmed by several numerical experiments.
延伸閱讀
- 鄭鴻儀、吳耀宗（2001）。Dynamic System Modeling and Frequency Analysis of a Magnetic Restorative Actuator with Micrometer Precision。大葉學報，10(2)，123-131。https://doi.org/10.7119/JDYU.200112.0123
- Chen, C. H. (2011). Finite Element Method with Novel Mesh Regeneration Algorithm for Investigating the Multi-Body Motion Problems [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2011.01744
- Zhang, Y., Yang, Y., & Liu, J. (2012). Highly Efficient Calculation Schemes of Finite-Element Filter Approach for the Eigenvalue Problem of Electric Field. Mathematical Problems in Engineering, 2012(), 509-529-329. https://doi.org/10.1155/2012/529498
- 曾緣雄（2008）。Modeling and Analyzation of Micromachined Magnetic Field Sensors〔碩士論文，崑山科技大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0025-0106200810411100
- 王家榮（2009）。Magnetic Field Analysis of Electromagnetic Actuator Using Finite Element Method〔碩士論文，國立臺北科技大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0006-2008200917563000