On asymptotic stability and instability of motion with respect to a part of the variables

Rumiantsev, V.V.

doi:10.1016/0021-8928(71)90129-8

Cited by 16 publications

(5 citation statements)

References 3 publications

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“…This needs to linearize the power system under an equilibrium state [75]. Load characteristics, discrete control, and continuous control at a given time-instant influences the small disturbance voltage stability [76]. For the determination of small disturbance voltage stability, Liancheng Wang et al proposed a novel Q angle index [77].…”

Section: Small Disturbance Voltage Stabilitymentioning

confidence: 99%

A Comprehensive Review on Voltage Stability in Wind-Integrated Power Systems

Malik,

Khan,

Rahman

et al. 2024

Energies

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The fast growth of the world’s energy demand in the modernized world has stirred many countries around the globe to focus on power generation by abundantly available renewable energy resources. Among them, wind energy has attained significant attention owing to its environment-friendly nature along with other fabulous advantages. However, wind-integrated power systems experience numerous voltage instability complexities due to the sporadic nature of wind. This paper comprehensively reviews the problems of voltage instability in wind-integrated power systems, its causes, consequences, improvement techniques, and implication of grid codes to keep the operation of the network secure. Thorough understanding of the underlying issues related to voltage instability is necessary for the development of effective mitigation techniques in order to facilitate wind integration into power systems. Therefore, this review delves into the origin and consequences of voltage instability, emphasizing its adverse impacts on the performance and reliability of power systems. Moreover, it sheds light on the challenges of integrating wind energy with existing grids. This manuscript provides a comprehensive overview of the essential features required for critical analysis through a detailed examination of Voltage Stability Indices (VSIs). To address voltage stability issues in wind-integrated power systems, this review examines diverse techniques proposed by researchers, encompassing the tools utilized for assessment and mitigation. Therefore, in the field of power system operation and renewable energy integration, this manuscript serves as a valuable resource for researchers by comprehensively addressing the complexities and challenges associated with voltage instability in wind-integrated power systems.

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Section: Small Disturbance Voltage Stabilitymentioning

confidence: 99%

A Comprehensive Review on Voltage Stability in Wind-Integrated Power Systems

Malik,

Khan,

Rahman

et al. 2024

Energies

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“…The first person to ever formulate partial stability was Lyapunov himself -the founder of modern stability theory. During the cold war, with the resurgence of interest in stability theories, this problem was pursued and Rumyantsev [99,100] published the first results. Much research has been done on partial stability all over the world, but mostly in Russia and the former USSR.…”

Section: Partial Stability and Controlmentioning

confidence: 99%

Adaptive Systems: History, Techniques, Problems, and Perspectives

Black

Haghi²,

Ariyur

2014

Systems

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We survey some of the rich history of control over the past century with a focus on the major milestones in adaptive systems. We review classic methods and examples in adaptive linear systems for both control and observation/identification. The focus is on linear plants to facilitate understanding, but we also provide the tools necessary for many classes of nonlinear systems. We discuss practical issues encountered in making these systems stable and robust with respect to additive and multiplicative uncertainties. We discuss various perspectives on adaptive systems and their role in various fields. Finally, we present some of the ongoing research and expose problems in the field of adaptive control.

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“…It is important to note that this partial stability definition (which is given in reference [5]) is different from past definitions of partial stability [3, 6]. In past definitions, it is required that F 1 ( 0 , 0 ) = 0 and F 2 ( 0 , 0 ) = 0 .…”

Section: Preliminariesmentioning

confidence: 99%

“…For many engineering problems like ball-and-beam systems and suspension systems [1,2], application of Lyapunov stability theory is required. However, there are other physical systems, such as inertial navigation systems, spacecraft stabilization via gimballed gyroscopes or flywheels, electromagnetic [3][4][5][6][7][8][9], where partial stability is necessary. In the mentioned applications, while the plant may be unstable in the standard sense, it is however partially asymptotically stable.…”

Section: Introductionmentioning

confidence: 99%

Robust partial control design for non-linear control systems: a guidance application

Binazadeh

Yazdanpanah

2011

Proceedings of the Institution of Mechanical Engineers, Part I:

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In this paper, a general approach for robust partial stabilization of uncertain nonlinear systems is presented. In this approach, the non-linear dynamic system is divided into two subsystems, called the first and the second subsystems. This division is done based on the required stability properties of the system's states. The reduced input vector (the vector that includes components of the input vector appearing in the first subsystem) is designed to asymptotically stabilize the first subsystem. The proposed scheme is then applied for designing a guidance law as a potential application. Indeed, the paper presents a new approach to the missile guidance problem and shows that asymptotic stability behaviour is not realistic for all states of the guidance system. The effectiveness of the proposed guidance law in interception of manoeuvring targets is demonstrated analytically and through computer simulations.

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On asymptotic stability and instability of motion with respect to a part of the variables

Cited by 16 publications

References 3 publications

A Comprehensive Review on Voltage Stability in Wind-Integrated Power Systems

A Comprehensive Review on Voltage Stability in Wind-Integrated Power Systems

Adaptive Systems: History, Techniques, Problems, and Perspectives

Robust partial control design for non-linear control systems: a guidance application

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