Stability analysis of wide area power system under the influence of interval time-varying delay

Wang, Chenchen; Qian, Wei; Li, Bing-feng; Zhao, Yunji

doi:10.1080/21642583.2018.1491905

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…Once again, the result obtained from Theorem 1 outperforms the previous considered ones, which confirms the conservatism improvement brought by our proposal. Moreover, according to the number of LMI decision variables listed in Table 2, we notice than the conditions of Theorem 1 appears to have a significantly lower computational cost than recent stability conditions proposed in literature (Lee et al, 2018;Wang et al, 2018;Zeng et al, 2015).…”

Section: Numerical Examplesmentioning

confidence: 89%

“…For η m = 0 . 1 , Table 2 presents the maximal admissible upper bounds of the input delay τ ( t ) (denoted maub ( η M ) ) obtained from Theorem 1 and compared to the results obtained from the previous related studies (Hadidi and Jeyasurya, 2013; Lee et al, 2018; Li et al, 2016a; Ma et al, 2015; Park et al, 2011a, 2011b; Rouamel et al, 2020; Wang et al, 2018; Zeng et al, 2015; Zhang et al, 2018b). Once again, the result obtained from Theorem 1 outperforms the previous considered ones, which confirms the conservatism improvement brought by our proposal.…”

Section: Numerical Examplesmentioning

confidence: 99%

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Relaxed stability analysis and sampled-data controller design for networked control systems with network-induced delays

Rouamel

Bourahala

Guelton

2022

Transactions of the Institute of Measurement and Control

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This paper is devoted to the stability analysis and sampled-data controller design problem for networked control systems subject to network-induced delays. The objective is to provide relaxed conditions in terms of linear matrix inequalities. Indeed, reducing the conservatism of such conditions allows to maximize the admissible range of the network-induced delays. To do so, an augmented Lyapunov–Krasovskii functional is proposed, which involves a novel augmented state vector to include as much as possible the information from the time-varying network-induced delay into the stability conditions, together with the use of extended Wirtinger-based inequalities, an extended reciprocal convexity approach and the Finsler’s lemma. Then, declined from the proposed stability conditions, new relaxed delay-dependent conditions for the design of networked sampled-data controllers are proposed. These allow to obtain simultaneously the controller gains and the maximal allowable bound of the network-induced delays with regards to its lower bound. Three illustrative examples are provided to show the effectiveness of the proposed networked control systems stability and controller design conditions, as well as to highlight the so raised conservatism improvements regarding the previous relevant results from the literature.

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Section: Numerical Examplesmentioning

confidence: 89%

Section: Numerical Examplesmentioning

confidence: 99%

Relaxed stability analysis and sampled-data controller design for networked control systems with network-induced delays

Rouamel

Bourahala

Guelton

2022

Transactions of the Institute of Measurement and Control

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“…Heydari et al have shown that communication in delays affects microgrid island and continue with the second inspection that took place the survey was conducted with a small sample [19,20]. Some researchers showed one of the ways in which literature only assessed its power delayed check for the second check (e.g., [21]) and others (e.g., [22]) on the full line of the power of the system, both are small-scale signals. There are also indications of the effects of testing delays on the distribution system state estimation (DSSE) were investigated using Monte Carlo (MC) analysis in [23,24] are evaluated, using a well-defined weighted least squares (WLS) the weight of the matrix, in [25], however, to the knowledge of the authors, it has never been established as an undoubted source for growth the analytical expression for calculating the final state estimation (SE) is undoubtedly related to the shock from the communication.…”

Section: System Devicementioning

confidence: 99%

Effects of Communication Signal Delay on the Power Grid: A Review

2022

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Communication plays a huge role in the operation of modern power systems. It permits a real-time monitoring coordination and control of the transmission, generation and distribution of electrical energy. As the modern grid grows towards an increased reliance on communication systems for the protection, metering and monitoring for as well as data acquisition for planning; there is a need to understand the challenge in the powers’ system communication and their impact on the uninterrupted supply of electrical energy. Communication delays are one of the challenges that might affect the performance of the power system and lead to power losses and equipment damage, it is important to investigate the causes and the mitigation options available. Thus, this paper the state of arts on the cause, the effect and mitigation of communication delays in the power system. Furthermore, in this paper an analysis of different causes of the delays for different network configurations and communication systems used; a comparative analysis of different latency mitigation methods and system performance simulations of a given compensation algorithm is tested against the existing methods. The pros and cons of these control strategies are illustrated in this paper. The summary and assessment of those methods of control in this review offer scholars and utilities valuable direction-finding to design superior communication energy control systems in the future.

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Exponential Synchronization for Delayed Dynamical Networks via Intermittent Control: Dealing With Actuator Saturations

Chen

Wang

Shen

et al. 2019

IEEE Trans. Neural Netw. Learning Syst.

106

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Over the past two decades, the synchronization problem for dynamical networks has drawn significant attention due to its clear practical insight in biological systems, social networks, and neuroscience. In the case where a dynamical network cannot achieve the synchronization by itself, the feedback controller should be added to drive the network toward a desired orbit. On the other hand, the time delays may often occur in the nodes or the couplings of a dynamical network, and the existence of time delays may induce some undesirable dynamics or even instability. Moreover, in the course of implementing a feedback controller, the inevitable actuator limitations could downgrade the system performance and, in the worst case, destabilize the closed-loop dynamics. The main purpose of this paper is to consider the synchronization problem for a class of delayed dynamical networks with actuator saturations. Each node of the dynamical network is described by a nonlinear system with a time-varying delay and the intermittent control strategy is proposed. By using a combination of novel sector conditions, piecewise Lyapunov-like functionals and the switched system approach, delay-dependent sufficient conditions are first obtained under which the dynamical network is locally exponentially synchronized. Then, the explicit characterization of the controller gains is established by means of the feasibility of certain matrix inequalities. Furthermore, optimization problems are formulated in order to acquire a larger estimate of the set of initial conditions for the evolution of the error dynamics when designing the intermittent controller. Finally, two examples are given to show the benefits and effectiveness of the developed theoretical results.

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Stability analysis of wide area power system under the influence of interval time-varying delay

Cited by 3 publications

References 13 publications

Relaxed stability analysis and sampled-data controller design for networked control systems with network-induced delays

Relaxed stability analysis and sampled-data controller design for networked control systems with network-induced delays

Effects of Communication Signal Delay on the Power Grid: A Review

Exponential Synchronization for Delayed Dynamical Networks via Intermittent Control: Dealing With Actuator Saturations

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