CALCULATION-EXPERIMENTAL DETERMINATION OF THE AVERAGE NUMBER OF QUANTIZED LONGITUDINAL ELECTRON DE BROGLIE HALF WAVES IN A CYLINDRICAL CONDUCTOR WITH PULSED AXIAL CURRENT

Authors

DOI:

https://doi.org/10.20998/2074-272X.2020.2.05

Keywords:

metal conductor, pulsed current, calculation-experimental determination of the average number of quantized longitudinal electron de Broglie half waves and electron localization zones in a conductor

Abstract

Purpose. Implementation of calculation-experimental determination of average number n0m of the quantized longitudinal electron de Broglie half waves of length λezm/2 in the metal cylindrical conductor with the pulsed axial current of high density. Methodology. Scientific bases of theoretical electrophysics and quantum physics, theoretical bases of the electrical engineering, electrophysics bases of technique of high-voltage and high pulsed currents. Results. The results of calculation-experimental estimations of average number n0m of the quantized longitudinal electron de Broglie half waves in the round continuous zincked steel wire of radius 0.8mm and of length 320 mm with aperiodic pulsed axial current i0(t) of temporal shape 9 ms/160 ms of high density (at its amplitude of δ0m=0.37 kA/mm2). It is shown that in examined case the numeral value of the average quantized number from data of calculation and experiment makes n0m=9, and test average length of quantized longitudinal electron de Broglie half waves in the indicated steel wire appears approximately equal to λezm/2≈34 mm. Electrophysical results are confirmed during the high current high temperature experiment conducted by a powerful high-voltage equipment calculation information on the choice of average value of quantized number n0m for longitudinal «hot» areas of the width Δz of the wire, different anomalous enhanceable concentration of drifting lone electrons and accordingly temperature of Joule heating. Originality. On the basis of the known conformities to the law of atomic and quantum physics new quantum-mechanical calculation correlation is obtained for determination in a metallic conductor with axial current of conductivity i0(t) of different type (direct, alternating and pulsed) of average number n0m of the quantized longitudinal electron de Broglie half waves and accordingly longitudinal «hot» areas of the width Δz of periodic localization along the conductor of drifting lone electrons. Practical value. Obtained results allow to make an evaluation prognosis on finding of possible places of longitudinal periodic localization of drifting lone electrons on narrow areas of the width Δz of current-carrying parts of power wires and cables of objects of electrical power energy, production and dwellings apartments, showing up most strongly (expressed) in malfunctions of operation of cable-conductor products with the currents of short-circuit and high current density.

References

Baranov M.I. Wave distribution of free electrons in conductor with electric current of the conductivities. Russian Electrical engineering, 2005, no.7, pp. 25-33. (Rus).

Baranov M.I. Energy and frequency specters of the free electrons conductor with electric current conduction. Russian Electrical engineering, 2006, no.7, pp. 29-34. (Rus).

Baranov M.I. Wave electronic package of a conductor with electric conduction current. Electrical engineering & electromechanics, 2006, no.3, pp. 49-53. (Rus).

Baranov M.I. New physical mechanisms and approaches in the study of the formation and distribution of the electric conduction current in the conductor. Technical Electrodynamics, 2007, no.1, pp.13-19. (Rus).

Baranov M.I. Characteristic radial distribution of free electrons in a cylindrical conductor with varying electric current. Technical Electrodynamics, 2009, no.1, pp. 6-11. (Rus).

Baranov M.I. Theoretical and experimental results of research into explanation of de Broglie half-wave existence in the microstructure of an active metallic conductor. Electrical engineering & electromechanics, 2014, no.3, pp. 45-49. (Rus). doi: 10.20998/2074-272X.2014.3.09.

Baranov M.I. Features heating thin bimetallic conductor large pulse current. Elektrichestvo, 2014, no.4, pp. 34-42. (Rus).

Baranov M.I. Quantum-wave nature of electric current in a metallic conductor and some of its electrophysical macro-phenomena. Electrical engineering & electromechanics, 2014, no.4, pp. 25-33. doi: 10.20998/2074-272X.2014.4.05.

Baranov M.I. The main characteristics of the wave distribution of free electrons in a thin metallic conductor with a pulse current of high density. Elektrichestvo, 2015, no.10, pp. 20-32. (Rus).

Baranov M.I. Izbrannye voprosy elektrofiziki: Monografija v 2-h tomah. Tom 2, Kn. 1: Teorija elektrofizicheskih effektov i zadach [Selected topics of Electrophysics: Monograph in 2 vols. Vol. 2, book. 1: Theory of electrophysics effects and tasks]. Kharkov, NTU «KhPI» Publ., 2009. 384 p. (Rus).

Baranov M.I. Izbrannye voprosy elektrofiziki. Monografiya v 3kh tomakh. Tom 2, Kn. 2: Teoriia elektrofizicheskikh effektov i zadach [Selected topics of Electrophysics. Monograph in 3 Vols. Vol.2, Book2. A theory of electrophysical effects and tasks]. Kharkiv, Tochka Publ., 2010. 407 p. (Rus).

Kuz'michev V.E. Zakony i formuly fiziki [Laws and formulas of physics]. Kiev, Naukova Dumka Publ., 1989. 864 p. (Rus).

Javorskij B.M., Detlaf A.A. Spravochnik po fizike [Handbook of physics]. Moscow, Nauka Publ., 1990. 624 p. (Rus).

Baranov M.I. Antologija vydajushhihsja dostizhenij v nauke i tehnike: Monografija v 3-h tomah. Tom 3 [An anthology of the distinguished achievements in science and technique: Monograph in 3 volumes. Volume 3]. Kharkiv, PhPB Panov A.N. Publ., 2016. 415 p. (Rus).

Baranov M.I. Refined selection of allowable cross-sections of electrical conductors and cables in the power circuits of industrial electrical equipment taking into account emergency operating modes. Electrical engineering & electromechanics, 2019, no.3, pp. 37-43. doi: 10.20998/2074-272X.2019.3.06.

Stolovich N.N. Elektrovzryvnye preobrazovateli energii [Electroexplosion energy converters]. Minsk, Nauka & Tehnika Publ., 1983. 151 p. (Rus).

Sobolev N.N. The study of electrical explosion of thin wires. Journal of experimental and theoretical physics, 1947, Vol.17, no.11, pp. 986-997. (Rus).

Ivanovskii A.V., Spirov G.M., Dudai P.V., Volkov A.A., Luk’yanov N.B., Solov’ev A.A., Volkova T.I., Lysenko V.P.. A test bench for studying the mechanisms of breakdowns of insulating gaps by short voltage pulses. Instruments and Experimental Techniques, 2003, vol. 46, no. 4, pp. 494-501. doi: 10.1023/A:1025182031922.

Solymar L., Walsh D. Lekcii po elektricheskim svojstvam materialov [Lectures on the electrical properties of materials]. Moscow, Mir Publ., 1991. 504 p. (Rus).

Baranov M.I., Koliushko G.M., Kravchenko V.I., Nedzel’skii O.S., Dnyshchenko V.N. A current generator of the artificial lightning for full-scale tests of engineering objects. Instruments and Experimental Technique, 2008, no.3, pp. 401-405. doi: 10.1134/s0020441208030123.

Kuhling H. Spravochnik po fizike. Per. s nem. [Dictonary on Physics. Translated from German]. Moscow, Mir Publ., 1982. 520 p. (Rus).

Baranov M.I., Rudakov S.V. Calculation-experimental method of research in a metallic conductor with the pulse current of electronic wavepackages and de Broglie electronic half-waves. Electrical engineering & electromechanics, 2016, no.6, pp. 45-53. doi: 10.20998/2074-272X.2016.6.08.

Belorussov N.I., Saakjan A.E., Jakovleva A.I. Elektricheskie kabeli, provoda i shnury. Spravochnik [Electrical cables, wires and cords. Directory]. Moscow, Energoatomizdat Publ., 1988. 536 p. (Rus).

Baranov M.I., Buriakovskyi S.G., Rudakov S.V. The tooling in Ukraine of model tests of objects of energy, aviation and space-rocket engineering on resistibility to action of pulsed current of artificial lightning. Electrical engineering & electromechanics, 2018, no.4, pp. 45-53. doi: 10.20998/2074-272X.2018.4.08.

Baranov M.I., Kniaziev V.V., Rudakov S.V. The coaxial shunt for measurement of current pulses of artificial lightning with the amplitude up to ±220 kA. Instruments and Experimental Technique, 2018, vol.61, no.4, pp. 501-505. doi: 10.1134/S0020441218030156.

Baranov M.I., Buriakovskyi S.G., Rudakov S.V. The metrology support in Ukraine of tests of objects of energy, aviation and space-rocket engineering on resistibility to action of pulses of current (voltage) of artificial lightning and commutation pulses of voltage. Electrical engineering & electromechanics, 2018, no.5, pp. 44-53. doi: 10.20998/2074-272X.2018.5.08.

Published

2020-04-21

How to Cite

Baranov, M. I., & Rudakov, S. V. (2020). CALCULATION-EXPERIMENTAL DETERMINATION OF THE AVERAGE NUMBER OF QUANTIZED LONGITUDINAL ELECTRON DE BROGLIE HALF WAVES IN A CYLINDRICAL CONDUCTOR WITH PULSED AXIAL CURRENT. Electrical Engineering & Electromechanics, (2), 33–39. https://doi.org/10.20998/2074-272X.2020.2.05

Issue

Section

Theoretical Electrical Engineering

Most read articles by the same author(s)

<< < 1 2 3 4 5 6 7 8 > >>