ESTIMATION OF SIMULATION ACCURACY OF THE ELECTROMAGNETIC COMPATIBILITY NEAR THE POWER LINE
( Pp. 53-59)
More about authors
Belitsyn Igor Vladimirovich
kand. ped. nauk, docent
Polzunov Altai State Technical University. Altai Krai, Barnaul, Russia
Polzunov Altai State Technical University. Altai Krai, Barnaul, Russia
Abstract:
The questions of mathematical modeling of the electromagnetic field generated by the aerial power lines. The technique of definition of parameters of electric field on the basis of topological features of a transmission line. Shows how to replace the integral equations by a system of algebraic linear equations. The issues associated with numerical solution of integral Fredholm equation of the first kind obtained to determine the line charges in the conductive parts of high voltage electrical installations, in particular overhead transmission lines of alternating current. Justification of the choice of quadrature formulas when replacing the integral Fredholm equation of the first kind system of linear algebraic equations (SLAE). Comparative analysis and recommendations for choice of quadrature formulas depending on the number of calculated points and the accuracy of the solution. Evaluated the correctness of the solution of the integral equation of the first kind. According to the method of Lavrentiev regularization of the estimation error of the decision. Derive an expression to determine the optimal regularization parameter.
How to Cite:
Belitsyn I.V., (2017), ESTIMATION OF SIMULATION ACCURACY OF THE ELECTROMAGNETIC COMPATIBILITY NEAR THE POWER LINE. Computational Nanotechnology, 4 => 53-59.
Reference list:
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Numerical Methods for the Solution of Ill-Posed Problems / A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola. - Springer Science Business Media Dordrecht, 2013. - P. 253.
Tikhonov, A. N., Leonov A. S., YAgola A. G. Nelineynye nekorrektnye zadachi / A. N. Tikhonov, A. S. Leonov , A. G. YAgola - M. : KURS, 2017. - 400 s.
Morozov, V. A. Methods for solution of ill-posed problems / V. A. Morozov, A. I. Grebennikov. - 2-e izd., dop.- M. : Izd-vo Mosk. un-ta, 2011. - 310 s.
Dubitsky M.A. RELIABILITY OF ENERGY SYSTEMS. Reliability: Theory Applications. Elektronic journal of international group on reliability. ISSN 1932-2321. Vol. 8. № 3, issue of September 2013.
Belitsyn I.V., Kotyrlo T.V., Makarov A.V. Elektricheskoe pole vysokovol tnykh elektricheskikh ustanovok, problemy normirovaniya, rascheta i modelirovaniya // Polzunovskiy vestnik 2006- № 4-2. S. 387-393.
Belitsyn I.V. Poluchenie i analiz Eksperimental nykh dannykh elektricheskogo polya vozdushnoy linii elektroperedachi // Polzunovskiy vestnik 2010- № 4-2. S. 150-15.
Belitsyn, I. V. Perspektivnye metody rascheta i modelirovaniya, elektromagnitnykh poley ustanovok vysokogo napryazheniya / I. V. Belitsyn, R. S. Starukhin, S. A. Urvachev // Problemy energosberezheniya i ekologii v promyshlennom i zhilishchno-kommunal nom kompleksakh: sbornik statey VII Mezhdunarodnoy nauchno-prakticheskoy konferentsii. - Penza, 2006. - s. 221-223.
Mirolyubov, N.N. Metody rascheta elektrostaticheskikh poley / N.N. Mirolyubov, N.V. Kostenko, M.L. Levinshteyn, N.N. Tikhodeev. - M.: Vyssh. shk., 1963 g. - 416 s.
Aleksandrov, G. N. Ustanovki sverkhvysokogo napryazheniya i okhrana okruzhayushchey sredy / G. N. Aleksandrov. - Leningrad : Energoatomizdat, 1989 - 360 s.
Kuzhekov, S. L. Elektromagnitnaya sovmestimost v elektroenergetike / S. L. Kuzhekov. - Novocherkassk : YUzhno-Rossiyskiy gosudarstvennyy tekhnicheskiy universitet, 2011. - 134 s.
Marchuk, G. I. Metody vychislitel noy matematiki / G. I. Marchuk. - SPb. : Lan , 2009. - 608 s.
Belitsyn, I. V. Ellipticheskoe elektricheskoe i magnitnoe polya elektroustanovok. Metod ikh rascheta i normirovaniya / I. V. Belitsyn, T. V. Kotyrlo, A. V. Makarov // Izvestiya Tomskogo politekhnicheskogo universiteta. - 2008. - T. 312. - № 4. Energetika. S. 61-65.
Belitsyn, I. V. Algoritm rascheta elektricheskogo polya VLEP na osnove metoda ekvivalentnykh zaryadov / I. V. Belitsyn, A. V. Makarov // Polzunovskiy vestnik. - 2007. - № 4. -S. 134-141.
SHevtsov, G.S. CHislennye metody lineynoy algebry : ucheb. posobie / G.S. SHevtsov, O.G. Kryukova, B.I. Myznikova. - SPb. : Lan , 2011. - 496 s.
Vasil eva, A. B. Integral nye uravneniya / A. B. Vasil eva, N. A. Tikhonov. - Sankt-Peterburg : Lan , 2009. - 160 s.
Grigor ev, A. D. Metody vychislitel noy elektrodinamiki / A. D. Grigor ev. - M. : FIZMATLIT, 2012. - 432 s.
Tukhliev, K. Nailuchshie kvadraturnye formuly priblizhennogo vychisleniya krivolineynogo integrala pervogo roda dlya nekotorykh klassov funktsiy i krivykh / K. Tukhliev // Izvestiya Tul skogo gosudarstvennogo universiteta Estestvennye nauki. 2013. - Vyp. 2. CH.1. - S. 50-57.
Tikhonov, A. N. Metody resheniya nekorrektnykh zadach / A. N. Tikhonov, V. YA. Arsenin. - M. : Nauka, 1979. - 288 s.
Kolechitskiy, E. S. Raschyet elektricheskogo polya ustroystv vysokogo napryazheniya / E. S. Kolechitskiy, I. P. Beloedova, YU. V. Eliseev. - M. : Izdatel skiy dom MEI, 2008.
Numerical Methods for the Solution of Ill-Posed Problems / A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola. - Springer Science Business Media Dordrecht, 2013. - P. 253.
Tikhonov, A. N., Leonov A. S., YAgola A. G. Nelineynye nekorrektnye zadachi / A. N. Tikhonov, A. S. Leonov , A. G. YAgola - M. : KURS, 2017. - 400 s.
Morozov, V. A. Methods for solution of ill-posed problems / V. A. Morozov, A. I. Grebennikov. - 2-e izd., dop.- M. : Izd-vo Mosk. un-ta, 2011. - 310 s.
Keywords:
power line, electromagnetic environment, integral equation, resistance, the electromagnetic field.
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