Title: Stability analysis of damping compensated generator-excitation control system with time-varying delays

Authors: K. Ramakrishnan

Addresses: Department of Electrical and Electronics Engineering, Pondicherry Engineering College, Puducherry 605014, India

Abstract: In this paper, a simplified analysis procedure is presented to ascertain delay-dependent stability of a typical damping compensated closed-loop generator-excitation control system operated in a smart grid environment. In closed-loop control of dynamic systems, it is inferred that the use of smart grid technology encompassing complex sensor/measurement circuits, signal conditioning systems, and data transfer through open communication links as feedback loops introduces time-delays in the feedback path. These delays are time-varying in nature, and invariably they exert a destabilising effect to the overall performance of the closed-loop system. Using Lyapunov-Krasovskii functional approach combined with appropriate inequalities, a less conservative analysis is presented in this paper to assess delay-dependent stability of the generator-excitation control system under study. The derived stability criterion is expressed as a set of solvable linear matrix inequality (LMI) conditions so that they can be solved readily using standard numerical packages. Using a standard bench-mark system, the proposed analysis is validated through simulation studies.

Keywords: smart grid technology; delay-dependent stability; time-varying delays; generator-excitation control system; Lyapunov-Krasovskii functional; linear matrix inequality; LMI.

DOI: 10.1504/IJSCC.2020.110853

International Journal of Systems, Control and Communications, 2020 Vol.11 No.4, pp.416 - 432

Accepted: 08 Feb 2020
Published online: 30 Oct 2020 *

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