A new formula for calculating the magnetic force between two coaxial thick circular coils with rectangular cross-section
Само за регистроване кориснике
2015
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The magnetic force exerted by an array of two coaxial thick circular coils with rectangular cross-sections in air is important to both electrical and mechanical engineering applications. The magnetic force is typically calculated by taking the integral over the entire space defined by the array. This calculation even for this simple array is an intractable problem and numerical methods have been extensively used. In this work, the integration was subdivided into five regions, and in four of them, an analytical formula was found. The method proposed here is based on the Green's function of the free space that leads to the elliptical integral of the first and second kind. The formula reveals new insights into how the geometry and relative positioning of the coils within the array determines the strength of the magnetic force. The thicker the coils are and the farther apart they are, the weaker the magnetic force is, and vice versa. This new formula is simpler and practically free of trun...cation errors, which are commonly encountered in numerical approximations. Several examples from the literature were used to corroborate the present formulation. The results show an excellent agreement with respect to the different numerical and semi-analytical approaches used by other authors.
Кључне речи:
wireless power transfer / mutual inductance / magnetic force / elliptic integralsИзвор:
Journal of Electromagnetic Waves and Applications, 2015, 29, 9, 1181-1193Издавач:
- Taylor and Francis Ltd.
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Babić, S. AU - Akyel, C. AU - Martinez, J. AU - Babić, Bojan PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2133 AB - The magnetic force exerted by an array of two coaxial thick circular coils with rectangular cross-sections in air is important to both electrical and mechanical engineering applications. The magnetic force is typically calculated by taking the integral over the entire space defined by the array. This calculation even for this simple array is an intractable problem and numerical methods have been extensively used. In this work, the integration was subdivided into five regions, and in four of them, an analytical formula was found. The method proposed here is based on the Green's function of the free space that leads to the elliptical integral of the first and second kind. The formula reveals new insights into how the geometry and relative positioning of the coils within the array determines the strength of the magnetic force. The thicker the coils are and the farther apart they are, the weaker the magnetic force is, and vice versa. This new formula is simpler and practically free of truncation errors, which are commonly encountered in numerical approximations. Several examples from the literature were used to corroborate the present formulation. The results show an excellent agreement with respect to the different numerical and semi-analytical approaches used by other authors. PB - Taylor and Francis Ltd. T2 - Journal of Electromagnetic Waves and Applications T1 - A new formula for calculating the magnetic force between two coaxial thick circular coils with rectangular cross-section EP - 1193 IS - 9 SP - 1181 VL - 29 DO - 10.1080/09205071.2015.1035807 ER -
@article{ author = "Babić, S. and Akyel, C. and Martinez, J. and Babić, Bojan", year = "2015", abstract = "The magnetic force exerted by an array of two coaxial thick circular coils with rectangular cross-sections in air is important to both electrical and mechanical engineering applications. The magnetic force is typically calculated by taking the integral over the entire space defined by the array. This calculation even for this simple array is an intractable problem and numerical methods have been extensively used. In this work, the integration was subdivided into five regions, and in four of them, an analytical formula was found. The method proposed here is based on the Green's function of the free space that leads to the elliptical integral of the first and second kind. The formula reveals new insights into how the geometry and relative positioning of the coils within the array determines the strength of the magnetic force. The thicker the coils are and the farther apart they are, the weaker the magnetic force is, and vice versa. This new formula is simpler and practically free of truncation errors, which are commonly encountered in numerical approximations. Several examples from the literature were used to corroborate the present formulation. The results show an excellent agreement with respect to the different numerical and semi-analytical approaches used by other authors.", publisher = "Taylor and Francis Ltd.", journal = "Journal of Electromagnetic Waves and Applications", title = "A new formula for calculating the magnetic force between two coaxial thick circular coils with rectangular cross-section", pages = "1193-1181", number = "9", volume = "29", doi = "10.1080/09205071.2015.1035807" }
Babić, S., Akyel, C., Martinez, J.,& Babić, B.. (2015). A new formula for calculating the magnetic force between two coaxial thick circular coils with rectangular cross-section. in Journal of Electromagnetic Waves and Applications Taylor and Francis Ltd.., 29(9), 1181-1193. https://doi.org/10.1080/09205071.2015.1035807
Babić S, Akyel C, Martinez J, Babić B. A new formula for calculating the magnetic force between two coaxial thick circular coils with rectangular cross-section. in Journal of Electromagnetic Waves and Applications. 2015;29(9):1181-1193. doi:10.1080/09205071.2015.1035807 .
Babić, S., Akyel, C., Martinez, J., Babić, Bojan, "A new formula for calculating the magnetic force between two coaxial thick circular coils with rectangular cross-section" in Journal of Electromagnetic Waves and Applications, 29, no. 9 (2015):1181-1193, https://doi.org/10.1080/09205071.2015.1035807 . .