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 firstname.lastname@example.org D. Vijeswaran email@example.com V. Manikandan firstname.lastname@example.org
The Journal of Analysis – Springer Journals
Published: Jun 4, 2018
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