Parametrization of the Electric Dipole Characterization Algorithms

A. V. Panyukov ; A. K. Bogushov

Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 12 (2012), pp. 32-43

Résumé

The problem to identify the location parameters of an arbitrarily oriented electric dipole over an infinitely conducted plane by its electromagnetic field induced in the observation point is considered. This task is a one of mathematical models practically important problem of thunderstorms forecasting. To solve the problem because of its poor condition is proposed to use a parameterized set of algorithms, and the final decision to accept the results of statistical analysis. Parameterizations of the primal and extremal parametric methods in the middle of possible methods of identifying location parameters of an arbitrarily oriented electric dipole are considered. However it would be well to exploit more methods for increasing of statistical significance of result estimation. Put computational experiments results confirms efficiency the approach, but а wide variety of the measurement results do not lets to form up the well-provided measuring estimation of the dipole location parameters adequately. It is suggested the filtration of the measurement results based on the cleaner functionals and combination of them for improving of the measuring estimation of the dipole location parameters. For constructing of the cleaner functionals are applied the anti-trace and projection methods.

Détail

Keywords: inverse problem, algorithm parametrization, parametrical identification, statistical analysis
Mots-clés : electric dipole.

Bibliographie

[1] Panyukov A. V., Bagin G. T., “Application of Thunderstorm Passive Monitoring Systems”, Integrated Security in Russia — Research, Management and Experience, Intern. Symposium (Moscow, 2004), 178–180

[2] Panyukov A. V., “Analysis of Error Direct Algorithm for Determining the Distance to the Electric Dipole”, Proceedings of Russian Universities. Radiophysics, XLII (1999), 266–277

[3] Panyukov A. V., Buduev D. V., Malov D. N., “The Algorithm for Determining the Distance to the Location of the Lightning”, Electricity, 4 (2001), 10–14

[4] Panyukov A. V., “Current Status and Prospects of Passive Monitoring System Works Thunderstorm”, J. of South Ural State University. Series: Mathematics, Physics, Chemistry, 4:8(24) (2003), 11–20 | MR

[5] A. V. Panyukov, “Analysis of the error of a direct algorithm for determining the distance to an electric dipole”, Radiophysics and Quantum Electronics, 42:3 (1999), 239–248 | DOI

[6] S. He, M. Popov, V. Romanov, “Explicit Full Identification Of A Transient Dipole Source In The Atmosphere From Measurement Of The Electromagnetic Fields At Several Points At Ground Level”, Radio Science, 35:1 (2000), 107–117 | DOI

[7] A. V. Panyukov, D. V. Buduyev, “An Extremum Algorithm For A Passive Method Of Determining The Distance To A Lightning Strike”, Electrical Technology Russia, 2001, no. 2, 13–22

[8] A. V. Panyukov, “Estimination of the location of an arbitrary oriented dipole under single-point direction finding”, J. of geophysical research, 101:D10 (1996), 14.997–14.982

[9] A. V. Panyukov, V. A. Strauss, “A Method to determine parameters of a linear functional equation set and its application to location systems”, Parameter identification and inverse problems in hydrology, geology and ecology, Water Science and Technology Library, 23, Kluwer Academic Publishers, Netherlands, 1997, 199–209 | DOI | MR

[10] A. V. Panyukov, “Lightning detection and mapping algorithms”, Proceedings 24-th International conference on lightning protection (Birmingham, United Kingdom, September 14–18, 1998), v. 1, Staffordshire university, 227–231

[11] B. Z. Taibin, “An Approach To Define Parameters For Localization Of Thunderstorms”, IEEE Antennas and Propagation Magazine, 48:2 (2006), 48–54 | DOI

[12] M. Popov, S. He, “Identification Of A Transient Electric Dipole Over A Conducting Half Space Using A Simulated Annealing Algorithm”, J. of Geophysical Research, 105:D16 (2009), 20821–20831

[13] Panyukov A. V., “Extremal Method for Solving a Parametric Inverse Problem for Systems of Linear Functional Equations”, Russian Mathematics, 2000, no. 9, 27–33

[14] Panyukov A. V., Buduev D. V., “Analytical and Numerical Study of the Stability and Accuracy of the Algorithms Determine the Distance to the Dipole Source VLF Radiation”, Proceedings of Chelyabinsk Scientific Center of UrR RAS, 2004, no. 4, 15–20

[15] Panyukov A. V., Buduev D. V., “Library of Methods for Determining the Location of the Dipole Radiation Source”, The Computer Program, Database, Topology of Integrated Circuits. Official J. of the Russian Agency for Patents and Trademarks, 2002, no. 2(1), 149–150

[16] Bogushov A. K., “Parallel Implementation of Complex Programs for the Problem of Determining the Parameters of the Electric Dipole”, Proceedings. PaVT-2011, 2011, 427–432

[17] W. L. Taylor, “Radiation field characteristics of lighting discharge in the band 1 Kc/s to 100 Kc/s”, J. of Research of the NBS, 67D:5 (1963), 539–550

[18] Kononov I. I., Petrenko I. A., Snegurov V. S., Radio Engineering Methods for Locating Storm Centers, Gidrometeoizdat, 1986