An Educational Study of Electromagnetic Phenomena on Ferromagnetic Structure Using a Software Environment
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences - Tập 94 - Trang 37-45 - 2023
Tóm tắt
The solution to electromagnetic problems relies on complex numerical differential equations that are difficult to understand. Therefore, it is crucial to analyze them step by step and visualize them in a computer environment, even by developing a program. This approach enhances understanding of the subject and facilitates further research. In this study, an electromagnetic phenomenon is examined on a ferromagnetic structure using the Maxwell 2D static-elliptical partial differential equation within a developed software environment. The paper covers all aspects, ranging from the mathematical model and analysis solution to the fundamental operating parameters and characteristics, with a focus on educational purposes. The modeling and software development have been executed in a user-friendly manner, enabling students to apply various numerical techniques to practical problems while maintaining control over the entire modeling process. Through this study, it is anticipated that the transition from theory to practice can be facilitated more smoothly and directly. The theoretical analysis has been conducted using Mathematica software, and a comparison with finite element magnetic method simulation on a typical magnetic structure has been presented to illustrate the analogy. A comprehensive analysis of the Maxwell static-elliptical electromagnetic equation, based on a 2D numerical solution within a specific domain, has been performed in a detailed and unambiguous manner, utilizing different equation forms, boundary conditions, and ferromagnetic materials, all for educational purposes.
Tài liệu tham khảo
Virjoghe EO, Enescu D, Stan M, and Ionel M (2012) Finite element analysis of stationary magnetic field. In: (ed), Finite element analysis-new trends and developments. IntechOpen. https://doi.org/10.5772/50846
Sadiku M ( 2018) Introduction to electromagnetic field theory,7 th Eition Oxford University Press
Roupec J, Kubik M, Mazůrek I, Strecker Z (2014) Problems of FEM Analysis of Magnetic Circuit. In: Březina T, Jabloński R (eds) Mechatronics 2013. Springer, Cham. https://doi.org/10.1007/978-3-319-02294-9_38
Alisoy H, Akdeniz R, Ozbey N (2021) The visualization of solutions to electromagnetic field problems by using Matlab. Eur J Eng App Sci 4(2):61–65
Xu J (1996) Two-grid discretization techniques for linear and nonlinear PDEs. SIAM J Numer Anal 33(5):1759–1777
Chiarello E, Malagoli JA (2020) Optimal coil design of an electromagnetic actuator using particle swarm optimization. J Européen des Systèmes Automatisés 53(6):755–761
Qiu L et al (2020) Construction and analysis of two-dimensional axisymmetric model of electromagnetic tube bulging with field shaper. IEEE Access 8:113713–113719
Oyman Serteller NF (2019) Electromagnetic wave propagation equations in 2D by finite difference method: mathematical case. In: 3rd International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT), IEEE proceeding, pp 1–5
Chen T, Yong Wang L, Yuhai Gu, Tang CL (2019) Review on numerical analysis of electromagnetic characteristics for ferromagnetic wear debris. IET J 23:8715–8719
Buret F, Muller D, Nicolas L (1999) Computer-aided education for magnetostatics. IEEE Trans Educ 42(1):45–49
Dular P, Geuzaine C, Genon A, Legros W (1999) An evolutive software environment for teaching the finite element method in electromagnetism. IEEE Trans Magn. https://doi.org/10.1109/20.767340
Oyman Serteller NF, Kari G (2019) Understanding the foundations of electromagnetic field theory with computer software. In: IEEE Global Engineering Education Conference (EDUCON), pp 755–760
Voltmer D, Garner D (1998) A new direction for undergraduate electromagnetics. In: Proceedings Frontiers in Education Conference, pp 535 539
Osaci M, Daniela CC, Baciu I (2022) Solution for using FEMM in electrostatic problems with discrete distribution electric charge. Mod Educ Comput Sci 4:57–66
Serteller F, Atalay MA (2006) “Thermal analysis of ferromagnet actuator by finite element method. Physica B 37:366–368
Cheng Z, Takahashi N, Forghani B (2021) Modeling and application of electromagnetic and thermal field in electrical engineering, Springer, 1st ed. 2020 edition (Jan 21, 2021)
Wolfram Mathematica Software Version 12.0 (2021)