Stability analysis of networked micro-grid load frequency control system

Stability analysis of networked micro-grid load frequency control system J Anal https://doi.org/10.1007/s41478-018-0095-4 ORI G INAL RESEARCH PAPER Stability analysis of networked micro-grid load frequency control system 1 2 3 • • K. Ramakrishnan D. Vijeswaran V. Manikandan Received: 10 January 2018 / Accepted: 18 May 2018 Forum D’Analystes, Chennai 2018 Abstract In this paper, the problem of ascertaining delay-dependent stability of networked micro-grid load frequency control systems with time-varying and time- invariant delays has been addressed using Lyapunov approach. In the networked micro-grid control system, it is observed that transfer of incremental frequency variable (feedback variable—an indication of the in-balance between the generation and the demand) through open communication links to effect closed-loop load frequency control introduces time-delays in the feedback path. The feedback delays are generally time-varying in nature, and invariably, they exert a detrimental effect to the overall performance of the closed-loop system paving way to instability. In this paper, using the classical Lyapunov–Krasovskii functional approach combined with appropriate inequalities, less conservative delay-dependent stability criteria are presented in linear matrix inequality (LMI) framework for networked micro-grid control system with time-varying and time-invariant delays. In the sequel, the presented results are validated on a standard benchmark system. & K. Ramakrishnan ramkieeiit@gmail.com D. Vijeswaran vijeswaran72@gmail.com V. Manikandan manikantan.cit@gmail.com http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Stability analysis of networked micro-grid load frequency control system

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Publisher
Springer Singapore
Copyright
Copyright © 2018 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
D.O.I.
10.1007/s41478-018-0095-4
Publisher site
See Article on Publisher Site

Abstract

J Anal https://doi.org/10.1007/s41478-018-0095-4 ORI G INAL RESEARCH PAPER Stability analysis of networked micro-grid load frequency control system 1 2 3 • • K. Ramakrishnan D. Vijeswaran V. Manikandan Received: 10 January 2018 / Accepted: 18 May 2018 Forum D’Analystes, Chennai 2018 Abstract In this paper, the problem of ascertaining delay-dependent stability of networked micro-grid load frequency control systems with time-varying and time- invariant delays has been addressed using Lyapunov approach. In the networked micro-grid control system, it is observed that transfer of incremental frequency variable (feedback variable—an indication of the in-balance between the generation and the demand) through open communication links to effect closed-loop load frequency control introduces time-delays in the feedback path. The feedback delays are generally time-varying in nature, and invariably, they exert a detrimental effect to the overall performance of the closed-loop system paving way to instability. In this paper, using the classical Lyapunov–Krasovskii functional approach combined with appropriate inequalities, less conservative delay-dependent stability criteria are presented in linear matrix inequality (LMI) framework for networked micro-grid control system with time-varying and time-invariant delays. In the sequel, the presented results are validated on a standard benchmark system. & K. Ramakrishnan ramkieeiit@gmail.com D. Vijeswaran vijeswaran72@gmail.com V. Manikandan manikantan.cit@gmail.com

Journal

The Journal of AnalysisSpringer Journals

Published: Jun 4, 2018

References

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