CONDITIONS OF EQUIVALENTIATION OF NONLINEAR DYNAMIC SYSTEMS WITH POWER NONLINEARITIES IN THE FREQUENCY DOMAIN

Authors

  • O. B. Mokin Vinnytsia National Technical University
  • B. I. Mokin Vinnytsia National Technical University
  • Ya. V. Khomyuk Vinnytsia National Technical University

Keywords:

nonlinear dynamic system, a power nonlinearity, multiple integrals Voltaire equivalent model frequency domain

Abstract

There have been substantiated reasonable conditions under which performance of nonlinear dynamical systems with equivalent POWER nonlinearities can be described in the frequency domain mathematical models, the use of which is not required to calculate Voltairian integrals of multiplicity equal to the order of a power nonlinearity.

Author Biographies

O. B. Mokin, Vinnytsia National Technical University

Dr. Sc. (Eng.), Professor, Head of the Chair of Renewable Energy and Transport Electrical Systems and Complexes

B. I. Mokin, Vinnytsia National Technical University

Academician of NAPS of Ukraine, Dr. Sc. (Eng.), Professor, Professor of the Chair of Renewable Energy and Transport Electrical Systems and Complexes and the Chair of Systems Analysis, Computer Monitoring and Engineering Graphics

Ya. V. Khomyuk, Vinnytsia National Technical University

Post-Graduate Student of the Chair of Systems Analysis, Computer Monitoring and Engineering Graphics

References

1. Ван-Трис Г. Синтез оптимальных нелинейных систем управления / Г. Ван-Трис. — М. : Мир. — 1964. — 167 с.
2. Мокін О. Б. Моделювання та оптимізація руху багатомасових електричних транспортних засобів поверхнями зі складним рельєфом / О. Б. Мокін, Б. І. Мокін. — Вінниця : ВНТУ. — 2013. — 192 с.
3. Скляревич А. Н. Приведение линейных операторов в задачах автоматического управления / А. Н. Скляревич. — Рига : Зинатне. — 1965. — 155 с.

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Published

2016-12-06

How to Cite

[1]
O. B. Mokin, B. I. Mokin, and Y. V. Khomyuk, “CONDITIONS OF EQUIVALENTIATION OF NONLINEAR DYNAMIC SYSTEMS WITH POWER NONLINEARITIES IN THE FREQUENCY DOMAIN”, Вісник ВПІ, no. 5, pp. 40–44, Dec. 2016.

Issue

No. 5 (2016)

Section

Energy generation and electrical engineering

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