An algorithm for electric circuits calculation based on instantaneous power component balance

• Autorzy: Zagirnyak M. , Kalinov A. , Maliakova M.

Warianty tytułu

PL

Algorytm obliczania obwodów elektrycznych bazujący na równowadze mocy chwilowej

• Języki publikacji: EN

Abstrakty

EN

A method for nonlinear circuit calculation based on the algorithm of formulation and solution of instantaneous power components balance equations has been developed and verified. The offered algorithm of instantaneous power components formation is grounded on the discrete convolution of two series and implemented using MathCad mathematical package. The presented algorithm has been applied for calculation of a nonlinear inductance circuit at sinusoidal supply voltage.

PL

W pracy rozwinięto oraz zweryfikowano metodę obliczania obwodów elektrycznych nieliniowych, bazującą na równowadze mocy chwilowej. Pokazany algorytm formowania składników mocy chwilowej ma podstawę w dyskretnym splocie dwóch szeregów i jest zrealizowany w pakiecie MathCad. Przedstawiony algorytm służy do rozwązywania obwodu z nieliniowymi indukcyjnościami.

Słowa kluczowe

EN

nonlinear electric circuit; nonlinear inductance; instantaneous power; harmonic balance; discrete convolution

PL

nieliniowy obwód elektryczny; indukcyjność nieliniowa; moc chwilowa; równowaga harmonicznych; splot dyskretny

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2011
• Tom: R. 87, nr 12b
• Strony: 212--215
• Opis fizyczny: Bibliogr. 13 poz., wykr.

Twórcy

autor

Zagirnyak M.

• Kremenchuk Mykhailo Ostrohradskyi National University

autor

Kalinov A.

• Kremenchuk Mykhailo Ostrohradskyi National University

autor

Maliakova M.

• Kremenchuk Mykhailo Ostrohradskyi National University

Bibliografia

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• [3] N.A. Shydlovska, Analysis of nonlinear electric circuits by the small parameter method, Kyiv, Evroindeks, 1999, 192 p (in Ukrainian).
• [4] Ognen J., Spectral methods for circuit analysis, Proceedings of Massachusetts Institute of Technology, Feb. 1999, 122 p.
• [5] Xin Zhou, Dian Zhou, Jin Liu, Ruiming Li, Xuan Zeng, Charles Chiang, Steady-state analysis of nonlinear circuits using discrete singular convolution method, IEEE Proceedings of the Design, Automation and Test in Europe Conference and Exhibition, Feb. 2004, vol. 2, pp. 1322-1326.
• [6] Xin Li, Bo Hu, Xieting Ling, Xuait Zeng, A wavelet balance approach for steady-state analysis of nonlinear circuits, IEEE Journal Circuits and Systems, May 2001, vol. 3, pp. 73 – 76.
• [7] M. Urabe, Galerkin’s procedure for nonlinear periodic systems, Archive for Rational Mechanics and Analysis, 1965, vol. 20, pp. 120–152.
• [8] Akio Ushida, Takehiko Adachi, Leon O. Chua, Steady-state analysis of nonlinear circuits based on hybrid methods, IEEE Transactions on Circuits and Systems: fundamental theory and applications, Aug. 1992, vol. 39, no. 8, pp. 649–661.
• [9] Lei (Lana) Zhu, Carlos E. Christoffersen, Transient and steadystate analysis of nonlinear RF and microwave circuits, EURASIP Journal on Wireless Communications and Networking, 2006, vol. 2006, pp. 1–11.
• [10] Krogeris A., Rasevitcs K., Sinka J., Treimanics E., Power in circuits or nonsinusoidal current and voltage, Riga, Riga educational typography, 1993, 294 p. (in Russian).
• [11] M.V. Zagirnyak, D.G. Mamchur, A.P. Kalinov, Elimination of the influence of supply mains low-quality parameters on the results of induction motor diagnostics, Proceedings of XIX International Conference on Electrical Machines, ICEM 2010, Rome, Italy, 2010, Paper RF-009474, IEEE Catalog Number CFP1090BCDR, ISBN 978-1-4244-4175-4, Library of Congress Number 2009901651.
• [12] D.I. Rodkin, Yu.V. Romashikhin, Instantaneous power of electric circuit nonlinear elements, XIV International Scientific Technical Conference “Problems of Automated Electric Drive. Theory and Practice”. Transactions of Dneprodzerzhinsk State Technical University. Dneprodzerzhinsk: DSTU, 2007, pp. 501- 506 (in Russian).
• [13] V.M. Sydorenko, D.I. Rodkin, O.P. Chornyi, D.G. Mamchur, Automated calculation of electric signal instantaneous power components, Transactions of KSPU, Scientific Papers of KSPU, Kremenchuk: KSPU, 2004, vol. 3 (26), pp. 91-96 (in Ukrainian).