Model of calculation of volume electrization of high-resistance dielectrics in space

V. V. Bogdanov

Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2018), pp. 66-89

Résumé

The paper is devoted to the construction of a model of volumetric electrization of high-resistance dielectrics used in space technology and interacting with aggressive factors of space. The assumption of the Maxwell distribution of the charged particles flux by energy makes it possible to obtain a simple model that makes it possible to calculate the distribution of the electric field and the potential in the dielectric volume taking into account the secondary emission currents and the surface potential value for a given external electron flow. The complexity arises because of the nonlinearity: the surface potential depends on the external current, and the current — on this potential. This nonlinearity determines the emergence of the transcendent equation with respect to the potential $\varphi_0$, which is solved numerically by iterative method. From the physics of the interaction of a stream of charged particles, described in the paper, its explanation of the formation of the plane of the zero values of the electric field with the withdrawal of the expressions defining the numerical values of the depth location of this plane xoreceives quite naturally.

Détail

Keywords: factors of space, electrization, high-resistance dielectrics, secondary emission currents and conductivity, the dark conductivity, the path length.

Bibliographie

[1] Akishin A. I., Novikov L. S., Fizicheskie processy na poverhnosti iskusstvennyh sputnikov Zemli, Izd-vo Mosk. un-ta, M., 1987

[2] Mileev V. N., Novikov L. S., “Fiziko-matematicheskaya model' elektrizacii ISZ na geostacionarnoj i vysokoellipticheskih orbitah”, Issledovaniya po geomagnetizmu, aeronomii i fizike Solnca, 86 (1989), 64–98

[3] Boev S.G, Ushakov V. Ya., Radiacionnoe nakoplenie zaryada v tverdyh dielektrikah i metody ego diagnostiki, Energoatomizdat, M., 1991, 240 pp.

[4] Krupnikov K.K., Maklecov A.A., Mileev V.N., Novikov L.S., Sinolic V.V., “Sovremennoe sostoyanie fiziko-matematicheskoj modeli elektrizacii KA na vysokih orbitah”, Kosmonavtika i raketostroenie., 1(30) (2003), 116–122

[5] Tyutnev A. P., Vannikov A. V., Mingaleev G. S., Saenko V. S., Elektricheskie yavleniya pri obluchenii polimerov, Energoizdat, M., 1985, 176 pp.

[6] Tyutnev A. P., Lineckij B. L., Nikerov A. V., Saenko V. S., “Radiacionno-impul'snaya elektroprovodnost' polimerov v sil'nyh elektricheskih polyah”, Himicheskaya fizika, 34:7 (2015), 58–61 | DOI

[7] Sadovnichij D.N. i dr., “Nakoplenie ob"emnyh zaryadov pri obluchenii epoksidnogo kompaunda elektronami v vakuume”, Vysokomolekulyarnye soedineniya. Seriya A., 45:2 (2003), 230–236

[8] Sokolov A. B., Saenko V. S., “Modelirovanie izmenenij radiacionnoj elektroprovodnosti polimerov vneshnej poverhnosti kosmicheskih apparatov pri vozdejstvii faktorov kosmicheskogo prostranstva”, Tekhnologii elektromagnitnoj sovmestimosti, 2008, no. 2, 25

[9] Tyutnev A. P. i dr., Dielektricheskie svojstva polimerov v polyah ioniziruyushchih izluchenij, Nauka, M., 2005, 100 pp.

[10] Yagushkin N. I., Sergeev A. I., Gostishchev E. A., “Issledovanie radiacionno-elektricheskih processov v dielektrikah pri obluchenii elektronami s energiej do 100 keV”, Model' kosmosa, v. 4, KDU, M., 2007, 343–360 (in Russian)

[11] DeForest S.E., “Spacecraft charging at synchronous orbit”, J. Geophys. Res., 77:4 (1972), 651–659 | DOI

[12] Langmuir I.B., Gen. Flac. Rev., 27 (1924), 449

[13] “IEEE Trans. on Elect. Insul.”, EI-18, 1983, no. 3, 354–365 | Zbl

[14] “Model' kosmosa.”, Vozdejstvie kosmicheskoj sredy na materialy i oborudovanie kosmicheskih apparatov, v. 4, 2007, 1144 pp.

[15] Bogdanov V. V., Pavlov A. V., Programma dlya rascheta ehlektrizacii vysokoomnyh diehlektrikov, Zaregistrirovano v Otraslevom fonde algoritmov i programm 25.08.08, Nogos. registracii 50200801812. Svidetel'stvo ob otraslevoj registracii razrabotki (programmnyj produkt) No11328