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THE SIMPLEST MATHEMATICAL MODEL OF MAGNETIC FIELD GENERATION BY PROPELLERS OF SMALL-SIZED MULTICOPTERS
Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
Journal: Science and technological developments
Tome: 102
Number: 1
Year: 2023
Pages: 19-39
UDK: 537.612.2
DOI: 10.21455/std2023.1-2
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Zharkov
R.A D.A. THE SIMPLEST MATHEMATICAL MODEL OF MAGNETIC FIELD GENERATION BY PROPELLERS OF SMALL-SIZED MULTICOPTERS
// . 2023. Т. 102. № 1. С. 19-39. DOI: 10.21455/std2023.1-2
@article{Zharkov
R.ATHE2023,
author = "Zharkov
R.A, D. A.",
title = "THE SIMPLEST MATHEMATICAL MODEL OF MAGNETIC FIELD GENERATION BY PROPELLERS OF SMALL-SIZED MULTICOPTERS
",
journal = "Science and technological developments",
year = 2023,
volume = "102",
number = "1",
pages = "19-39",
doi = "10.21455/std2023.1-2 ",
language = "English"
}
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Keywords: UAV, mathematical modeling, magnetic field of a rotating charge, propeller magnetic field, UAV magnetic field
Аnnotation: A mathematical model of magnetic field generation by propellers of aircraft is proposed. An analytical formula for the magnetic field strength of a point charge moving along a circle is obtained and analyzed. Spatial field distributions are constructed for a system of several charges corresponding to a multi-blade propeller, as well as for a set of similar systems, which simulates a multi-rotor aircraft. Spectra and radiation patterns of generated signals for different parameters are constructed.
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Elokhin, A.P., Unconventional methods for radiation monitoring of radioactive contamination of environment, Yadernye izmeritel’no-informatsionnye tekhnologii (Nuclear measurement and information technologies), 2013, no. 1 (45), pp. 62–95. [in Russian].
Firsov, A.P., Zlygostev, I.N., Dyadkov, P.G., Savluk, A.V., Vaisman, P.A., Vald, A.K., Sheremet, A.S., Yevmenov, N.D., The use of high-frequency magnetometer for light UAV geological
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Kholodkov, K.I., Ivanov, S.D., Aleshin, I.M., Perederin, F.V., Koryagin, V.N., Kholodkov, I.N., Aleshin, M.I., Matveev, M.A., Morozov, Yu.A., Experience of constructing digital elevation models with unmanned aerial vehicles, Seismic Instruments, 2022, vol. 58, iss. 3, pp. 295–301. https://doi.org/10.3103/S0747923922030070
Landsberg, G.S. (ed.), Textbook of Elementary Physics: Volume 2, Electricity and Magnetism, Honolulu, University Press of the Pacific, 2000, 424 p.
Mel’nikov, N.N., Kalashnik, A.I., Kalashnik, N.A., Zaporozhets, D.V., Integrated multi-level geomonitoring of natural-and-technical objects in the mining industry, J. Mining Sci., 2018, vol. 54, iss.
4, pp. 535–540. https://doi.org/10.1134/S1062739118043977
Mikhalenko, E.B., Belyaev, N.D., Bogolyubova, A.A., Vil’kevich, V.V., Zagryadskaya, N.N., Kovyazin, A.V., Inzhenernaya geodeziya. Ispol’zovanie sovremennogo oborudovaniya dlya resheniya geodezicheskikh zadach (Engineering geodesy. The use of modern equipment for solving geodetic problems), St. Petersburg, SPbGPU, 2014, 98 p.
Ovsyuchenko, A.N., Sobisevich, A.L., Lyamenkov, M.V., Zhostkov, R.A., New evidence on strong earthquakes in the Arctic zone of the Russian Federation derived from geological and geophysical studies on Belukha Island, Dokl. Earth Sci., 2021, vol. 499, no. 1, pp. 60–64. https://doi.org/10.1134/S1028334X21070072
Ovsyuchenko, A.N., Edemsky, D.E., Zhostkov, R.A., Active tectonics of the Eastern Arctic: New data from geological and geophysical studies at Cape Thomas (west of Wrangel Island), Geotectonics,
2022, no. 3, pp. 3–19. [in Russian]. https://doi.org/10.31857/S0016853X22030055
Oznamets, V.V., Belokonev, G.V., Dryga, D.O., Mochalov, A.V., Performing engineering and geodetic surveys for the reconstruction of the banks of the Moscow Canal using unmanned aerial vehicles (UAVs), Perspektivy razvitiya inzhenernykh izyskanii v stroitel’stve v Rossiiskoi Federatsii: Materialy dokladov 14 Obshcherossiiskoi nauchno-prakticheskoy konferentsii i vystavki izyskatel’skikh organizatsii (Prospects for the development of engineering surveys in construction in the Russian Federation: Materials of reports of the 14th All-Russian Scientific and Practical Conference and Exhibition of Survey Organizations), Moscow, December 11–14, 2018, Moscow, Geomarketing, 2018, pp. 678–685.
Palenov, A.Yu., Cherkasov, S.V., Sterligov, B.V., Zolotaya, L.A., Kosnyreva, M.V., Study of the magnetic field of an unmanned aerial vehicle (UAV) in order to create a hardware complex for aeromagnetic shooting // Inzhenernaya, ugol’naya i rudnaya geofizika-2015. Sovremennoe sostoyanie i perspektivy razvitiya: Materialy konferentsii (Engineering, coal and ore geophysics2015. Current state and prospects of development: Conference materials), Sochi, September 28 – October 2, 2015, Moscow, EAGO, 2015, pp. 175–177.
Podrezov, Yu.V., Features of the use of unmanned aerial vehicles to monitor the forest fire emergency situations, Problemy bezopasnosti i chrezvychainykh situatsii (Safety and Emergencies Problems), 2019, no. 3, pp. 64–72. [in Russian].
Rudenko, O.V., Sobisevich, L.E., Sobisevich, A.L., Electromagnetic field of a rotating propeller, Transactions (Doklady) of the Russian Academy of Sciences, Earth Science Sections, 1996, vol. 351, no. 8, pp. 1330–1333.
Rudik, E.A., Gura, D.A., Topographic survey using satellite systems and electronic total stations, Nauki o zemle na sovremennom etape: Materialy IV Mezhdunarodnoi nauchno-prakticheskoi konferentsii (Earth Sciences at the present stage: Materials of the IV International Scientific and Practical Conference), Moscow, April 25, 2012, Moscow, Sputnik+, 2012, pp. 118–120.
Sathyamoorthy, D., A review of security threats of unmanned aerial vehicles and mitigation steps, J. Def. Secur., 2015, vol. 6, no. 1, pp. 81–97.
Shevchenko, A.V., Migachev A.N., Review of the state of the world market of drons and their application for agriculture, Robototekhnika i tekhnicheskaya kibernetika (Robotics and Technical Cybernetics), 2019, vol. 7, no. 3, pp. 183–195. https://doi.org/10.31776/RTCJ.7303
Shved, Yu.V., Prospects and difficulties of application of unmanned aerial vehicles in agriculture, Kachestvo i zhizn’ (Quality and Life), 2018, no. 4 (20), pp. 374–381. [in Russian].
Aleshin, I.M., Soloviev, A.A., Aleshin, M.I., Sidorov, R.V., Solovieva, E.N., Kholodkov, K.I., Prospects of using unmanned aerial vehicles in geomagnetic surveys, Seismic Instruments, 2020b, vol. 56, iss. 5, pp. 522–530. https://doi.org/10.3103/S0747923920050059
Balkov, E.V., Dyadkov, P.G., Pozdnyakova, O.A., Kuleshov, D.A., Evmenov, N.D., Karin, Yu.G., Goglev, D.A., High-precision magnetic survey with UAV for the archaeological barrows at Novaya Kurya monument in Western Siberia, Vestnik NGU. Ser. Informatsionnye tekhnologii (Vestnik NSU. Series: Information Technologies), 2019, vol. 17, no. 4, pp. 5–12. [in Russian]. https://doi.org/10.25205/1818-7900-2019-17-4-5-12
Bombizov, A.A., Petrov, A.B., Loshchilov, A.G., Analysis of electromagnetic and acoustic radiation of unmanned aerial vehicles, Doklady TUSUR (Proceedings of TUSUR University), 2018, vol. 21, no. 1, pp. 57–61. [in Russian]. https://doi.org/10.21293/1818-0442-2018-21-1-57-61
Elokhin, A.P., Unconventional methods for radiation monitoring of radioactive contamination of environment, Yadernye izmeritel’no-informatsionnye tekhnologii (Nuclear measurement and information technologies), 2013, no. 1 (45), pp. 62–95. [in Russian].
Firsov, A.P., Zlygostev, I.N., Dyadkov, P.G., Savluk, A.V., Vaisman, P.A., Vald, A.K., Sheremet, A.S., Yevmenov, N.D., The use of high-frequency magnetometer for light UAV geological
and geophysical studies of volcanic pipes, Interexpo Geo-Siberia, 2015, vol. 2, no. 2, pp. 299– 304. [in Russian].
Floreano, D., Wood, R.J., Science, technology and the future of small autonomous drones, Nature,
2015, vol. 521, pp. 460–466. https://doi.org/10.1038/nature14542
Generic risk assessment 4.5: working with helicopters, London, TSO, 2010, 27 p.
Gushchin, M.E., Zudin, I.Yu., Korobkov, S.V., Kostrov, A.V., Mikryukov, P.A., Priver, S.E., Strikovskiy, A.V., Syssoev, V.S., Parameters of high-voltage discharges on helicopter rotor blades and related electromagnetic interference, Tech. Phys. Lett., 2020, vol. 46, iss. 1, pp. 66–68. https://doi.org/10.1134/S1063785020010241
Hassanalian, M., Abdelkefi, A., Classifications, applications, and design challenges of drones: A review, Progr. Aerospace Sci., 2017, vol. 91, pp. 99–131. https://doi.org/10.1016/j.paerosci.2017.04.003
Imyanitov, I.M., Elektrizatsiya samoletov v oblakakh i osadkakh (Electrification of aircraft in clouds and precipitation), Leningrad, Gidrometeoizdat, 1970, 210 p.
Kalashnik, A.I., Zaporozhets, D.V., Kalashnik, N.A., Multilevel monitoring system of hydraulic facilities: the case study of enterprises of the Murmansk region, Vestnik KNTs RAN (Herald of the KSC of RAS), 2019, vol. 11, no. 2, pp. 45–53. [in Russian]. https://doi.org/10.25702/KSC.23075228.2019.11.2.45-53
Kaliberda, I.V., Bryukhan’, F.F., Remote measurement of radioactive contamination of territories by the unmanned dosimetric system, Vestnik MGSU, 2012, no. 4, pp. 186–194. [in Russian].
Kerimov, I.A., Ezirbaev, T.B., Experiences in the application of multispectral imagery in land cover observation, Geologiya i geofizika Yuga Rossii (Geology and Geophysics of Russian South),
2022, vol. 12, no. 3, pp. 182–194. [in Russian]. https://doi.org/10.46698/VNC.2022.58.33.001
Khakhulina, N.B., Nesterenko, I.V., Possibilities of laser scanning technologies for obtaining geophysical data, Modeli i tekhnologii prirodoobustroistva (regional’nyi aspekt) (Models and technologies of environmental management: Regional aspect), 2018, no. 1 (6), pp. 141–149. [in Russian].
Kharichkin, M.V., Aircraft’s magnetic compensation, Vestnik KRAUNTs. Nauki o Zemle (Bulletin of KRAESC. Earth Sciences), 2007, no. 2 (10), pp. 133–137. [in Russian].
Kholodkov, K.I., Ivanov, S.D., Aleshin, I.M., Perederin, F.V., Koryagin, V.N., Kholodkov, I.N., Aleshin, M.I., Matveev, M.A., Morozov, Yu.A., Experience of constructing digital elevation models with unmanned aerial vehicles, Seismic Instruments, 2022, vol. 58, iss. 3, pp. 295–301. https://doi.org/10.3103/S0747923922030070
Landsberg, G.S. (ed.), Textbook of Elementary Physics: Volume 2, Electricity and Magnetism, Honolulu, University Press of the Pacific, 2000, 424 p.
Mel’nikov, N.N., Kalashnik, A.I., Kalashnik, N.A., Zaporozhets, D.V., Integrated multi-level geomonitoring of natural-and-technical objects in the mining industry, J. Mining Sci., 2018, vol. 54, iss.
4, pp. 535–540. https://doi.org/10.1134/S1062739118043977
Mikhalenko, E.B., Belyaev, N.D., Bogolyubova, A.A., Vil’kevich, V.V., Zagryadskaya, N.N., Kovyazin, A.V., Inzhenernaya geodeziya. Ispol’zovanie sovremennogo oborudovaniya dlya resheniya geodezicheskikh zadach (Engineering geodesy. The use of modern equipment for solving geodetic problems), St. Petersburg, SPbGPU, 2014, 98 p.
Ovsyuchenko, A.N., Sobisevich, A.L., Lyamenkov, M.V., Zhostkov, R.A., New evidence on strong earthquakes in the Arctic zone of the Russian Federation derived from geological and geophysical studies on Belukha Island, Dokl. Earth Sci., 2021, vol. 499, no. 1, pp. 60–64. https://doi.org/10.1134/S1028334X21070072
Ovsyuchenko, A.N., Edemsky, D.E., Zhostkov, R.A., Active tectonics of the Eastern Arctic: New data from geological and geophysical studies at Cape Thomas (west of Wrangel Island), Geotectonics,
2022, no. 3, pp. 3–19. [in Russian]. https://doi.org/10.31857/S0016853X22030055
Oznamets, V.V., Belokonev, G.V., Dryga, D.O., Mochalov, A.V., Performing engineering and geodetic surveys for the reconstruction of the banks of the Moscow Canal using unmanned aerial vehicles (UAVs), Perspektivy razvitiya inzhenernykh izyskanii v stroitel’stve v Rossiiskoi Federatsii: Materialy dokladov 14 Obshcherossiiskoi nauchno-prakticheskoy konferentsii i vystavki izyskatel’skikh organizatsii (Prospects for the development of engineering surveys in construction in the Russian Federation: Materials of reports of the 14th All-Russian Scientific and Practical Conference and Exhibition of Survey Organizations), Moscow, December 11–14, 2018, Moscow, Geomarketing, 2018, pp. 678–685.
Palenov, A.Yu., Cherkasov, S.V., Sterligov, B.V., Zolotaya, L.A., Kosnyreva, M.V., Study of the magnetic field of an unmanned aerial vehicle (UAV) in order to create a hardware complex for aeromagnetic shooting // Inzhenernaya, ugol’naya i rudnaya geofizika-2015. Sovremennoe sostoyanie i perspektivy razvitiya: Materialy konferentsii (Engineering, coal and ore geophysics2015. Current state and prospects of development: Conference materials), Sochi, September 28 – October 2, 2015, Moscow, EAGO, 2015, pp. 175–177.
Podrezov, Yu.V., Features of the use of unmanned aerial vehicles to monitor the forest fire emergency situations, Problemy bezopasnosti i chrezvychainykh situatsii (Safety and Emergencies Problems), 2019, no. 3, pp. 64–72. [in Russian].
Rudenko, O.V., Sobisevich, L.E., Sobisevich, A.L., Electromagnetic field of a rotating propeller, Transactions (Doklady) of the Russian Academy of Sciences, Earth Science Sections, 1996, vol. 351, no. 8, pp. 1330–1333.
Rudik, E.A., Gura, D.A., Topographic survey using satellite systems and electronic total stations, Nauki o zemle na sovremennom etape: Materialy IV Mezhdunarodnoi nauchno-prakticheskoi konferentsii (Earth Sciences at the present stage: Materials of the IV International Scientific and Practical Conference), Moscow, April 25, 2012, Moscow, Sputnik+, 2012, pp. 118–120.
Sathyamoorthy, D., A review of security threats of unmanned aerial vehicles and mitigation steps, J. Def. Secur., 2015, vol. 6, no. 1, pp. 81–97.
Shevchenko, A.V., Migachev A.N., Review of the state of the world market of drons and their application for agriculture, Robototekhnika i tekhnicheskaya kibernetika (Robotics and Technical Cybernetics), 2019, vol. 7, no. 3, pp. 183–195. https://doi.org/10.31776/RTCJ.7303
Shved, Yu.V., Prospects and difficulties of application of unmanned aerial vehicles in agriculture, Kachestvo i zhizn’ (Quality and Life), 2018, no. 4 (20), pp. 374–381. [in Russian].
