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Journal ArticleDOI

A delay-dependent anti-windup compensator for wide-area power systems with time-varying delays and actuator saturation

TLDR
A delay-dependent anti-windup compensator is designed for wide-area power systems to enhance the damping of inter-area low-frequency oscillations in the presence of time-varying delays and actuator saturation using an indirect approach and maximizes the estimation of the region of attraction.
Abstract
In this paper, a delay-dependent anti-windup compensator is designed for wide-area power systems to enhance the damping of inter-area low-frequency oscillations in the presence of time-varying delays and actuator saturation using an indirect approach. In this approach, first, a conventional wide-area damping controller is designed by using H&#x221E output feedback with regional pole placement approach without considering time-varying delays and actuator saturation. Then to mitigate the effect of both time-varying delays and actuator saturation, an add-on delay-dependent anti-windup compensator is designed. Based on generalized sector conditions, less conservative delay-dependent sufficient conditions are derived in the form of a linear matrix inequality &#x0028 LMI &#x0029 to guarantee the asymptotic stability of the closed-loop system in the presence of time-varying delays and actuator saturation by using Lyapunov-Krasovskii functional and Jensen integral inequality. Based on sufficient conditions, the LMI-based optimization problem is formulated and solved to obtain the compensator gain which maximizes the estimation of the region of attraction and minimizes the upper bound of L2-gain. Nonlinear simulations are performed first using MATLAB &#x002F Simulink on a two-area four-machine power system to evaluate the performance of the proposed controller for two operating conditions, e.g., 3-phase to ground fault and generator 1 terminal voltage variation. Then the proposed controller is implemented in real-time on an OPAL-RT digital simulator. From the results obtained it is verified that the proposed controller provides sufficient damping to the inter-area oscillations in the presence of time-varying delays and actuator saturation and maximizes the estimation of the region of attraction.

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Citations
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Journal ArticleDOI

Dynamic anti-windup design for linear systems with time-varying state delay and input saturations

TL;DR: In this article , a dynamic anti-windup compensator is designed for linear systems with time-varying state delay, input saturations and external disturbances, and sufficient conditions are established under which the state trajectories of the closed-loop systems are bounded and meanwhile the performance can be guaranteed.
Journal ArticleDOI

Event-triggering $${H}_{\infty }$$ H ∞ -based observer combined with NN for simultaneous estimation of vehicle sideslip and roll angles with network-induced delays

TL;DR: The design of an H-based observer that simultaneously estimates both the sideslip angle and the roll angle of a vehicle for a networked control system, with networked transmission delay based on an event-triggered communication scheme combined with neural networks (NN).
Journal ArticleDOI

$$H_{\infty }$$ H ∞ Performance-Based Sliding Mode Control Approach for Load Frequency Control of Interconnected Power System with Time Delay

TL;DR: In this paper, a sliding mode control (SMC) approach is proposed to design a performance-based load frequency controller for interconnected power system (IPS) with time delay, and a sliding surface function is designed to enhance dynamic performance of the power system.
Journal ArticleDOI

Enhanced Stability Criteria for Discrete-time Systems with Time-varying Delay

TL;DR: In this paper, an improved free-matrix-based summation inequality is proposed to make full use of the improved inequality to bound the upper bounds of the difference Lyapunov-Krasovskii functional (LKF).
Journal ArticleDOI

Coordinated design of delay-dependent wide-area damping controllers considering multiple time delays

TL;DR: This paper investigates coordinated design of multiple wide-area damping controllers (WADCs) for damping multiple inter-area oscillations considering communication delays in multiple control loop using modified IEEE 10-machine 39-bus power system.
References
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Journal ArticleDOI

Notes on Stability of Time-Delay Systems: Bounding Inequalities and Augmented Lyapunov-Krasovskii Functionals

TL;DR: It is proved that, when a simple LKF is applied, the stability criteria obtained by the Wirtinger-based inequality and the Jensen inequality are equivalent, which means that the tighter inequality does not always lead to a less conservative criterion.
Journal ArticleDOI

Delay-Dependent Stability Analysis of the Power System With a Wide-Area Damping Controller Embedded

TL;DR: In this paper, the authors investigated the delay-dependent stability of a power system equipped with a wide-area damping controller (WADC) using a new method which consists of a delaydependent criterion based on Lyapunov theory and model reduction technique.
Journal ArticleDOI

Dynamic Output-Feedback Dissipative Control for T–S Fuzzy Systems With Time-Varying Input Delay and Output Constraints

TL;DR: A new fuzzy dynamic output-feedback fuzzy controller that takes into consideration the abstract energy, storage function, and supply rate for the disturbance attenuation and provides a unified framework that can incorporate existing results for T–S fuzzy systems with time-varying input delay and output constraints is developed.
Proceedings ArticleDOI

A Schur Method for Balanced Model Reduction

TL;DR: It is shown that the Moore reduced model can be computed directly without balancing via projections defined in terms of arbitary bases for the left and right eigenspaces associated with the "large" eigenvalues of the product PQ of the reachability and controllablility grammians.
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