Discrete Predictive Models for Stability Analysis of Power Supply Systems

Discrete Predictive Models for Stability Analysis of Power Supply Systems

The paper offers an approach to the investigation of the dynamics of nonlinear non-stationary processes with the focus on the risk of dynamic system stability loss. The risk is assessed on the basis of the accumulated knowledge about power supply system operation. New methods for power supply modes...

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Main Authors: Natalia Bakhtadze, Igor Yadikin
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
process identification
knowledgebase
associative search models
wavelet analysis
Gramian method
Online Access:https://www.mdpi.com/2227-7390/8/11/1943
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spelling doaj-e1f1dc2669d1438e94611b81c0260abd2020-11-25T03:08:41ZengMDPI AGMathematics2227-73902020-11-0181943194310.3390/math8111943Discrete Predictive Models for Stability Analysis of Power Supply SystemsNatalia Bakhtadze0Igor Yadikin1V.A. Trapeznikov Institute of Control Sciences, 65, Profsoyuznaya, 117997 Moscow, RussiaV.A. Trapeznikov Institute of Control Sciences, 65, Profsoyuznaya, 117997 Moscow, RussiaThe paper offers an approach to the investigation of the dynamics of nonlinear non-stationary processes with the focus on the risk of dynamic system stability loss. The risk is assessed on the basis of the accumulated knowledge about power supply system operation. New methods for power supply modes analysis are developed and applied as follows: linear discrete point knowledge-based models are developed for nonlinear non-stationary objects; wavelet analysis is used for non-stationary processes; stability loss risks are analyzed through the investigation of spectral decompositions of Gramians of these linear predictive models. Case studies are included.https://www.mdpi.com/2227-7390/8/11/1943process identificationknowledgebaseassociative search modelswavelet analysisGramian method
collection DOAJ
language English
format Article
sources DOAJ
author Natalia Bakhtadze
Igor Yadikin
spellingShingle Natalia Bakhtadze
Igor Yadikin
Discrete Predictive Models for Stability Analysis of Power Supply Systems
Mathematics
process identification
knowledgebase
associative search models
wavelet analysis
Gramian method
author_facet Natalia Bakhtadze
Igor Yadikin
author_sort Natalia Bakhtadze
title Discrete Predictive Models for Stability Analysis of Power Supply Systems
title_short Discrete Predictive Models for Stability Analysis of Power Supply Systems
title_full Discrete Predictive Models for Stability Analysis of Power Supply Systems
title_fullStr Discrete Predictive Models for Stability Analysis of Power Supply Systems
title_full_unstemmed Discrete Predictive Models for Stability Analysis of Power Supply Systems
title_sort discrete predictive models for stability analysis of power supply systems
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-11-01
description The paper offers an approach to the investigation of the dynamics of nonlinear non-stationary processes with the focus on the risk of dynamic system stability loss. The risk is assessed on the basis of the accumulated knowledge about power supply system operation. New methods for power supply modes analysis are developed and applied as follows: linear discrete point knowledge-based models are developed for nonlinear non-stationary objects; wavelet analysis is used for non-stationary processes; stability loss risks are analyzed through the investigation of spectral decompositions of Gramians of these linear predictive models. Case studies are included.
topic process identification
knowledgebase
associative search models
wavelet analysis
Gramian method
url https://www.mdpi.com/2227-7390/8/11/1943
work_keys_str_mv AT nataliabakhtadze discretepredictivemodelsforstabilityanalysisofpowersupplysystems
AT igoryadikin discretepredictivemodelsforstabilityanalysisofpowersupplysystems
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