Calculating the Inductance of Single- and Two-Layer Solenoids Taking into Account the Specific Features of Their Practical Application
Abstract
Comparatively simple expressions for calculating the inductances of thin-layer coils have been proposed more or less recently, using which numerical assessments can be obtained in an essentially simpler manner. At the same time, rigorous expressions for calculating the inductances can in a number of cases be given subject to commonly accepted idealization, from which it is possible to determine, among other things, the permissible variation range of geometrical sizes in using simplified dependences. A rigorous expression and some of its modifications for the inductance of a solenoid with diameter d and length l is given, and a rigorous expression for determining the compression forces is derived. Certain aspects of practical application are considered in view of the fact that thin-layer coils are the main component of loading devices intended for testing the generator sets of self-contained power plants.
References
2. Antônio по Carlos M. de Queiroz. Mutual Inductance and Inductance Calculations by Maxwell’s Method [Электрон. ресурс] acmq@ufrj.br (дата обращения 01.02.2019).
3. Simon Ramo, John R. Whinnery, Teodore Van Duzer. Field and waves in communication electronics, 1993, p. 844.
4. Цицикян Г.Н., Антипов М.Ю. Автономные электроэнергетические системы. Вопросы безопасности и электромагнитной совместимости. СПб.: ФГУП «Крыловский государственный научный центр», 2017, 106 с.
5. Lane J., Youngquist R., Immer C. and Simpson J. Magnetic Field, Force, and Inductance Computations for an Axially Symmetric Solenoid. Аpril 2001, NASA/TM-2013-217918/.
6. Jerry C. Whitaker, Harold A. Wheeler. Formules for the Skin Effect. Proc. of the I.R.E., September, 1942, pp. 412-424.
7. Справочник по специальным функциям с формулами, графиками и математическими таблицами/Под ред. М. Абра- мовица, И.Стиган. М.: Наука, 1979.
8. Цицикян Г.Н., Антипов М.Ю. Оценка сжимающих сил, действующих на тонкослойные катушки (соленоиды) с током. - Изв. РАН. Энергетика, 2018, № 5, с. 26—31.
9. Двайт Г.Б. Таблицы интегралов и другие математические формулы. М.: Наука, 1977, 228 с.
#
1. Kalantarov P.L., Tseitlin L.A. Raschet induktivnostei: Spravochnaya kniga (Calculation of inductances: Handbook). Leningrad, Energoatomizdat, 1986, 488 p.
2. Antônio Carlos M. de Queiroz. Mutual Inductance and Inductance Calculations by Maxwell’s Method [Electron. resourse] acmq@ufrj.br (Data of apple 01.02.2019).
3. Simon Ramo, John R. Whinnery, Teodore Van Duzer. Field and waves in communication electronics, 1993, p. 844.
4. Tsitsikyan G.N., Antipov M.Yu. Avtonomnye elektroenergeticheskiye sistemy. Voprosy bezopasnosti i elektromagnitnoi sovmestimosti (Autonomous power systems. Electrosecurity and electromagnetic compatibility issues). St. Petersburg, Publ. «Krylov State Scientific Centre», 2017, 106 p.
5. Lane J., Youngquist R., Immer C. and Simpson J. Magnetic Field, Force, and Inductance Computations for an Axially Symmetric Solenoid. April 2001, NASA/TM-2013-217918/.
6. Jerry C. Whitaker, Harold A. Wheeler. Formules for the Skin Effect. Proc. of the I.R.E., September, 1942, pp. 412-424.
7. Spravochnikpo spetsialnym funktsiyam sformulami, grafikami i matematicheskimi tablitsami/Pod red. M. Abramovitsa, I. Stigana (Handbook of special functions with formulas, graph and mathematical tables/Edit. by M. Abramovits, I. Stigan). Moscow, Nauka, 1979.
8. Tsitsikyan G.N., Antipov M.Yu. Izv. RAN. Energetika — Russ. (News of Russian Academy of Sciences), 2018, No. 5, pp. 26—31.
9. Dvait G.B. Tablitsy integralov i drugiye matematicheskiye formuly (Tables of integrals and onher mathematical formulas). Moscow, Nauka, 1977, 228 p.
