DOI: https://doi.org/10.15588/1607-6761-2015-1-8

IMPROVEMENT OF ITERATIVE METHODS OF THE NONLINEAR SYSTEMS SOLUTION OF STATE EQUATIONS OF MAGNETOELECTRIC EQUIVALENT SCHEMES

S. M. Tykhovod

Abstract


The numeral methods of integration of differential equations describing electromagnetic processes are reduced to solution of the system of nonlinear equations by an iterative method. The method of simple iterations for the classic presentation, i.e., k=0, 1, 2… is converged if , that usually is not executed at the solution of practical tasks. In capacity of convergence parameter of iterative process the factor of convergence C as ratio of deviation of approached solution from the true solution, obtained on the current step of iteration, to the corresponding deviation, got on the previous step of iteration, is put into operation. For convergence of iterative process it is necessary, that absolute value of convergence factor would be less than unit. It is offered modernization of simple iterations method with one and two weights for convergence at the condition. The selection of weight coefficients allows considerably extending an area of simple iterations method. It is shown that the use of offered method with two weights is more effective than one

Keywords


iterative process; method of simple iterations; nonlinear equations

References


Тиховод С. М. Модификация магнитоэлектрических схем замещения электромагнитных устройств для анализа переходных процессов / С. М. Тиховод // Електротехніка та електроенергетика . – 2015. – №2 . – С. 59–68.

Тиховод С. М. Модификация магнитоэлектрических схем замещения электромагнитных устройств для анализа переходных процессов / С. М. Тиховод // Электричество . – 2014. – №2 . – С. 53–60.

Калиткин Н. Н. Численные методы / Н. Н. Калиткин. – М. : Наука, 1978.– 512с.


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