DOI: https://doi.org/10.15588/1607-6761-2015-2-7

METHOD OF ACCELERATED NUMERICAL CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS BASED ON SOLUTION APPROXIMATION BY ALGEBRAIC POLYNOMIALS

S. M. Tykhovod, T. M. Kornus, D. G. Patalakh

Abstract


The work purpose is modification of numerical calculation of transients in electric circuits that reduces the CPU time of calculation, and also development of circuit model method, that creates the convenience in its practical use. The circuit model of the modified numerical calculation of transients in electric circuits is developed. The circuit model created for the electric circuit, in which processes are described with the help of integro-differential equations, turn into the circuit with current images, for which Kirchhoff’s rules, reducing to the algebraic equations, are valid. Time-varying current image is vector, containing the polynomial approximation coefficients. Practical importance. The developed method uncloses the possibility of use of the whole manifold of the circuit theory to work on current images. On the basis of that the universal software package for transient analysis in the complex electric circuits could be designed. Research methods. Polynomial approximation of solution and matrix calculations is used

Keywords


transient; numerical methods; circuit model; polynomial approximation

References


Electromagnetic Transient Program (EMTP) Application Guide // EPRI Report No: EL – 4650, Project 2149–1, Westinghouse Electric Corp., Pittsburgh, PA, 1986.

Кеоун Д. OrCAD Pspice. Анализ электрических цепей. / Дж. Кеоун. – сПб, : Питер, 2008. – 640 с.

Черных И. В. Simulink среда создания инженерных приложений. / И. В Черных. – М. : ДИАЛОГ-МИФИ, 2003. – 496 с.

Современные численне методы решения обыкновенных дифференциальных уравнений./ редакторы Дж. Холл, Дж. Уатт.-М.: Мир, 1979.– 312 с.

Shampine L. F. Fundamentals of numerical computing / L. F. Shampine, R. C. Allen, S. Pruess.–New York Chichester Brisbane Toronto Singapore.: JOHN WILEY & SONS, INC., 1997. – 268 p.

Ильина В. А. Численные методы для физиков-теоретиков. 1. / В. А. Ильина, П. К. Силаев. – Москва-Ижевск: Институт компьютерных исследований. – 2003. – 132 с.


GOST Style Citations




Article Metrics

Metrics Loading ...

Metrics powered by PLOS ALM


Copyright (c) 2017 S. M. Tykhovod, T. M. Kornus, D. G. Patalakh

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Address of the journal editorial office: Editorial office of the the scientific journal "Electrical Engineering and Power Engineering", Zaporizhzhia Polytechnic National University, Zhukovskiy street, 64, Zaporizhzhia, 69063, Ukraine. phone: +38-061-769-82-96 – the Editing and Publishing Department. E-mail: etae@ukr.net; rvv@zp.edu.ua