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

Obaiah, Maddela Chinna; Subudhi, Bidyadhar

doi:10.1109/jas.2019.1911558

Cited by 14 publications

(5 citation statements)

References 32 publications

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“…This reveals that the interaction between different time delays must be taken into account simultaneously and thus the CA should be used for obtaining the accurate stability region of multiple delays. On the other side, multiple time delays in each control channel have been simplified as one identical delay, named as conventional equal case (CEC) [17,18]. Under this assumption, the obtained stability region is the dashed rectangular region, as shown in Figure 8(a) and the system is stable if the time delays in every channel are within this region.…”

Section: 21mentioning

confidence: 99%

“…On the other side, multiple time delays in each control channel have been simplified as one identical delay, named as conventional equal case (CEC) [17,18]. Under this assumption, the obtained stability region is the dashed rectangular region, FIGURE 9 Responses of the New England power system to fault with different time delays (K WADC1 = 0.007, K WADC2 = 0.0025) as shown in Figure 8(a) and the system is stable if the time delays in every channel are within this region.…”

Section: Calculated Stability Regionmentioning

confidence: 99%

“…To damp multiple inter-area oscillations, multiple WADCs [14,15] or a centralized WADC with multiple wide-area inputs [8,16] are designed. This will result in the close-loop system including multiple time delays since different wide-area feedback signals have different time delays [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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

Yao

Yan

Liu

et al. 2021

IET Generation Trans & Dist

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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. Two approaches have been investigated: the sequential approach which uses the stability criteria for single delay and design the WADC independently, and the coordinated approach which employs a less conservative and fast Lyapunov stability criterion for linear system with multiple delays to calculate delay margins simultaneously and coordinately design the multiple WADCs. The sequential approach cannot reveal the interaction among several WADCs loops with multiple delays and may lead to inaccurate delay margins, while the coordinated approach takes into account interactions of delays between different WADC control loops and can result in accurate delay stable region and relationship between delay margins and the WADC gains. Gains of WADCs are determined based on a trade-off between damping performance and delay margin. Case studies are based on the modified IEEE 10-machine 39-bus power system equipped with two FACTS devices and two WADCs. The feasibility and effectiveness of the proposed approach is verified by simulation studies. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: 21mentioning

confidence: 99%

Section: Calculated Stability Regionmentioning

confidence: 99%

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

Yao

Yan

Liu

et al. 2021

IET Generation Trans & Dist

View full text Add to dashboard Cite

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“…Its occurrence causes the feedback loop to break, so an additional increment in the control signal does not assist the rapid response of the system (Da Silva et al, 2018). The anti-windup concept is to develop an additional element in the control system to monitor the control signal (Obaiah and Subudhi, 2020). If saturation occurs, the control system is modified to improve during and after saturation (Huang et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

An anti-windup control strategy for discrete time-delay system based on triple Lyapunov functional

Agrawal

Negi

Pal

2023

Transactions of the Institute of Measurement and Control

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This paper addresses the design of a dynamic output feedback-based anti-windup compensator to mitigate the windup phenomenon for a discrete time-varying delayed system with input saturation to establish the asymptotic stability. Linear matrix inequalities–based stability conditions are derived locally and globally. The controller for the closed-loop system is designed to reduce the effect of external bounded disturbances by utilizing the linear matrix inequality approach. The novel triple Lyapunov–Krasovskii functional along with reciprocal convex inequality is used to solve the expressions contained in the forward difference of the functional and to maximize the basin of attraction. Finally, industrial examples are simulated to prove the effectiveness of the proposed criterion.

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“…Time delays are often encountered in engineering practice and are often regarded as an important cause of poor performance and instability. Thus, time-delayed systems are a hot topic in recent decades [1], for example, neural networks with time-varying delay [2], complex dynamic networks with time-varying delay [3], power systems with time-varying delay [4], and so on. There are two main forms of stability criterion: Delay-dependent stability criteria and delay-independent ones.…”

Section: Introductionmentioning

confidence: 99%

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

Zhu

2021

Int. J. Control Autom. Syst.

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The stability problem of discrete-time linear systems with interval time-varying delays is investigated in this paper. According to the latest summation inequality technique, an improved free-matrix-based summation inequality is proposed in this paper. In order to make full use of the improved inequality to bound the upper bounds of the difference Lyapunov-Krasovskii functional (LKF), an augmented LKF with some extra status information is constructed. A new delay-range-dependent stability criterion is derived in the form of linear matrix inequalities (LMIs) via the modified LKF approach. The criterion is less conservative than some existing results. Finally, some standard numerical examples are presented the effectiveness of the proposed approach.

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

Cited by 14 publications

References 32 publications

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

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

An anti-windup control strategy for discrete time-delay system based on triple Lyapunov functional

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

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