Some the Application of the Taylor Series for the Analysis of Processes in Non-Linear Resistive Circuits

Vitaly Viktorovich Pivnev; Sergey Nikolaevich Basan

doi:10.4028/www.scientific.net/AMM.701-702.1173

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 701-702Some the Application of the Taylor Series for the...

Some the Application of the Taylor Series for the Analysis of Processes in Non-Linear Resistive Circuits

Abstract:

The way of calculating the currents and voltages in nonlinear resistive electrical circuits , based on the use of power series (Taylor, Maclaurin) is considered . The advantage of this method lies in the fact that while it implementation it is not necessary to a system of nonlinear equations. To determine the numerical values of the coefficients of the power series corresponding system of linear algebraic equations are solved. Nonlinear operations are limited to the calculation of the numerical values of currents, voltages and their derivatives with respect to the pole equations of nonlinear elements.

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Periodical:

Applied Mechanics and Materials (Volumes 701-702)

Pages:

1173-1176

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.701-702.1173

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Online since:

December 2014

Authors:

Vitaly Viktorovich Pivnev*, Sergey Nikolaevich Basan

Keywords:

Electric Circuit, Non-Linear, Power Series, Resistance

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References

[1] L.R. Neiman, K.S. Demirchyan: Theory of Electrical Engineering. V. 2. Leningrad Energoizdat, (1981), 533 p.

Google Scholar

[2] L.V. Danilov: Electrical circuit with non-linear R-element. M., Communications, (1974), 135 p.

Google Scholar

[3] L.O. Chua, Lin Pen-Men: Computer analysis of electronic circuits. M., Energy, (1980), 638 p.

Google Scholar

[4] S.N. Basan: Electrical circuits with nonlinear resistors, Taganrog Radio Engineering Institute named after V.D. Kalmikova, Rostov University Publishing, (1984), 200 p.

Google Scholar

[5] I.P. Nathanson: Short Course of Higher Mathematics, St. Petersburg, from of Lan, (1999), 727 p.

Google Scholar