Chaotic Phenomena in Power Systems: Detection and Applications

O’Neill-Carrillo, Efraín

doi:10.1080/073135699269460

Cited by 7 publications

(2 citation statements)

References 23 publications

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“…It should be noted that, for preliminary assessment of system dynamics, it is enough to know the LLE. Positive values of the LLE indicate high sensitivity to initial conditions of the system and are a sign of an irregular response, that is, chaotic or unstable [26,27]. However, for a more detailed and accurate analysis of the system, the knowledge of the complete spectrum of LEs is essential.…”

Section: Lyapunov Spectrummentioning

confidence: 99%

A Lyapunov spectrum based hybrid static and dynamic approach for contingency ranking

Aghtar,

Cheraghzadeh,

Doroudi

et al. 2023

IET Generation Trans & Dist

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The goal of contingency ranking is to provide a list of possible critical situations and rank them according to the severity of their impact on a power network. The methods of contingency ranking may be divided into two major categories: static and dynamic techniques. Static approaches are fast and can be implemented in real‐time, but they present different results depending on the parameter which has been selected for contingency ranking. Dynamic methodologies are more accurate than static ones, but they are time‐consuming. This paper presents a novel combined static and dynamic method for contingency ranking which takes advantage of both techniques and shows the performance evaluation for the hybrid method using accuracy and efficiency as criteria. The proposed method uses three well‐known static indices and the Lyapunov spectrum based dynamic approach to select the worst critical lines. IEEE 39‐bus (New England grid) and IEEE 118‐bus networks are utilized to verify the proposed method. The method provides speed and accuracy. One of the prominent features of the proposed approach is its ability to rank contingencies that lead to network load flow divergence.

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Section: Lyapunov Spectrummentioning

confidence: 99%

A Lyapunov spectrum based hybrid static and dynamic approach for contingency ranking

Aghtar,

Cheraghzadeh,

Doroudi

et al. 2023

IET Generation Trans & Dist

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“…For example, if chaotic behavior is part of a mode of operation, it will limit the ability to predict future states of a system. Forecasting windows can be created to identify how far in the future can predictions be made reliably [16].…”

Section: A Theoretical Backgroundmentioning

confidence: 99%

Development of tools for the study of chaotic behavior in power electronics

Colón

Contreras

Rodrı́guez

et al.

COMPEL 2000. 7th Workshop on Computers in Power Electronics. Proceedings (Cat. No.00TH8535)

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Abstraa -This paper describes the development of software tools for the analysis of chaos in power electronics systems. This project was motivated by potential contributions of chaos theory in the design, analysis and control of power electronics circuits. Nonlinear analysis software and computer programs were used for the detection and analysis of chaotic components. Simulations of power electronics &-vices were performed using commercially available circuit analysis packages. The voltage and current time series obtained from the circuit analysis were studied using the nonlinear analysis tools developed for this project as well as existing nonlinear analysis programs. The results of the nonlinear analysis can be used to design and implement better mitigating and control techniques for the circuits under study. Chaotic dynamics provide an alternate representation that can lead to better designs and new ways to explain nonlinear behavior in power electronics circuits. There is also a great pedagogical value in complementing the traditional representation of power electronic circuits with alternate models.

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