Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 92, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2020.105450
Keywords
Anomalous magnetic diffusion; Fractional derivative; Toroidal magnetic core; Magnetic hysteresis
Categories
Funding
- SCAC (Service de Cooperation et d'Action Culturelle) of the French Embassy to Cameroon - National Natural Science Foundation of China [51805298]
- Natural Science Foundation of Shandong Province [ZR201807090390]
- Fundamental Research Funds for the Central Universities [2019ZRJC006]
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This study discusses the importance of toroidal massive ferromagnetic cores in electromagnetic applications and the need for simulation tools to study their behavior. An alternative solution involving solving a two-dimensional anomalous fractional magnetic field diffusion is proposed to obtain accurate simulation results.
Toroidal massive ferromagnetic cores are used in a wide range of electromagnetic applications, such as current sensors, inductances, static converters and filters. Growing interest exists in the industrial field with regards simulation tools to reduce experimental campaigns and improve product knowledge and performance. Accurate simulation results require a consideration of precise electromagnetic laws, such as the exact non-linear magnetic behavior of toroidal magnetic cores. Under the influence of an external surface magnetic field that was created by a surrounding coil, the local magnetic state through a ferromagnetic core cross-section was ruled by a combination of magnetic domain kinetics and external magnetic field diffusion. Conventional methods to simulate magnetic behavior are based on a separation of magnetic contributions, where microscopic Eddy currents from domain wall motions and macroscopic currents from external magnetic field variations are considered separately. This separation is artificial, because both loss mechanisms occur simultaneously and interact. In this study, an alternative solution was proposed through the resolution of a two-dimensional anomalous fractional magnetic field diffusion. The fractional order constitutes an additional degree of freedom in the simulation scheme, which can be identified by comparison with the experimental results. By adjusting this order, accurate local and global simulation results can be obtained on a broad frequency bandwidth and allow for the precise prediction of the dynamic magnetic behavior of a toroidal massive magnetic core. (C) 2020 Elsevier B.V. All rights reserved.
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