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Analysis and Prediction of Electric Power System’s Stability Based on Virtual State Estimators

Author

Listed:
  • Natalia Bakhtadze

    (V.A. Trapeznikov Institute of Control Sciences, 65 Profsoyuznaya, 117997 Moscow, Russia)

  • Igor Yadikin

    (V.A. Trapeznikov Institute of Control Sciences, 65 Profsoyuznaya, 117997 Moscow, Russia)

Abstract

The stability of bilinear systems is investigated using spectral techniques such as selective modal analysis. Predictive models of bilinear systems based on inductive knowledge extracted by big data mining techniques are applied with associative search of statistical patterns. A method and an algorithm for the elementwise solution of the generalized matrix Lyapunov equation are developed for discrete bilinear systems. The method is based on calculating the sequence of values of a fixed element of the solution matrix, which depends on the product of the eigenvalues of the dynamics matrix of the linear part and the elements of the nonlinearity matrixes. A sufficient condition for the convergence of all sequences is obtained, which is also a BIBO (bounded input bounded output) systems stability condition for the bilinear system.

Suggested Citation

  • Natalia Bakhtadze & Igor Yadikin, 2021. "Analysis and Prediction of Electric Power System’s Stability Based on Virtual State Estimators," Mathematics, MDPI, vol. 9(24), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3194-:d:699860
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    References listed on IDEAS

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    1. Nnaemeka Sunday Ugwuanyi & Xavier Kestelyn & Bogdan Marinescu & Olivier Thomas, 2020. "Power System Nonlinear Modal Analysis Using Computationally Reduced Normal Form Method," Energies, MDPI, vol. 13(5), pages 1-19, March.
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    Cited by:

    1. Natalia Bakhtadze, 2023. "Preface to the Special Issue on “Identification, Knowledge Engineering and Digital Modeling for Adaptive and Intelligent Control”—Special Issue Book," Mathematics, MDPI, vol. 11(8), pages 1-3, April.
    2. Kang Bai & Yong Zhou & Zhibo Cui & Weiwei Bao & Nan Zhang & Yongjie Zhai, 2022. "HOG-SVM-Based Image Feature Classification Method for Sound Recognition of Power Equipments," Energies, MDPI, vol. 15(12), pages 1-12, June.

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    2. Natalia Bakhtadze & Igor Yadikin, 2020. "Discrete Predictive Models for Stability Analysis of Power Supply Systems," Mathematics, MDPI, vol. 8(11), pages 1-18, November.

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