Nonlinear dynamic analysis of a single-machine infinite-bus power system

Wang, Xiaodong; Chen, Yushu; Han, Gang; Song, Caiqin

doi:10.1016/j.apm.2014.11.018

Cited by 32 publications

(11 citation statements)

References 16 publications

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“…This paper aims to demonstrate the complete transition process of different dynamic behaviors by combining qualitative and quantitative analysis. Comparing the results about simple power system (e.g., SMIB power system) [9][10][11][12][13][14][15], a new route to chaos via quasi-periodic torus rupture has been found. Moreover, it is worthy to point out that, in our considered system, there exist many super-harmonic components in the frequency spectrum of the swing oscillation response.…”

Section: Discussionmentioning

confidence: 99%

“…Chen et al [9] studied the chaotic control and identification problem of a SMIB power system, where the power of the machine was assumed to be a simple harmonic quantity. Moreover, in order to discuss bifurcations of periodic orbits and homo-(hetero-) clinic orbits of dynamical systems, Melnikov's method has been effectively applied in the classical SMIB power system models [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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Analysis on Nonlinear Dynamic Characteristic of Synchronous Generator Rotor System

Wang

Song

2019

Complexity

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This paper focuses on the swing oscillation process of the synchronous generator rotors in a three-machine power system. With the help of bifurcation diagram, time history, phase portrait, Poincaré section, and frequency spectrum, the complex dynamical behaviors and their evolution process are detected clearly in this power system with varying perturbation related parameters and different system parameters. Furthermore, combining the qualitative and quantitative characteristics of the chaotic motion, different paths leading to chaos coexisting in this system have been found. The Wolf method has been introduced to calculate the corresponding largest Lyapunov exponent, which is used to verify the occurrence of chaotic motion. These results obtained in this paper will contribute to a better understanding of nonlinear dynamic behaviors of synchronous generator rotors in a three-machine power system.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis on Nonlinear Dynamic Characteristic of Synchronous Generator Rotor System

Wang

Song

2019

Complexity

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“…Recall M and M d given in (3.12). Differentiating V given in (3.19) along solutions of the system (3.5) yieldṡ 20) where…”

Section: Theoremmentioning

confidence: 99%

“…However, the analysis in [12] is conducted under very stringent assumptions on the specific form of the infinite bus voltage, as well as the steady-state values of the mechanical torque. A nonlinear analysis of the SMIB system is also conducted in [20], yet using a power rather than a torque balance in the swing equation and neglecting the stator dynamics. Then the SMIB model reduces to a nonlinear forced pendulum, as also studied in [21,22].…”

Section: (B) Existing Literature and Contributionsmentioning

confidence: 99%

An input-to-state stability approach to verify almost global stability of a synchronous-machine-infinite-bus system

Schiffer

Efimov

Ortega

et al. 2017

Phil. Trans. R. Soc. A.

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Conditions for almost global stability of an operating point of a realistic model of a synchronous generator with constant field current connected to an infinite bus are derived. The analysis is conducted by employing the recently proposed concept of input-to-state stability (ISS)–Leonov functions, which is an extension of the powerful cell structure principle developed by Leonov and Noldus to the ISS framework. Compared with the original ideas of Leonov and Noldus, the ISS–Leonov approach has the advantage of providing additional robustness guarantees. The efficiency of the derived sufficient conditions is illustrated via numerical experiments. This article is part of the themed issue ‘Energy management: flexibility, risk and optimization’.

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“…Recently, there are a lot of scholars to study the stability of power grid system. For example, Nayfeh [9] uses the multi-scale perturbation method to study the stability of single machine power system and the bifurcation analysis of a single machine infinite power system is investigated by Duan [10]. Because coupling power angle exists in the interconnected power system, the inherent dynamical behavior of interconnected power system will be more abundant.…”

Section: Introductionmentioning

confidence: 99%

A New Non-Singular Terminal Sliding Mode Control and Its Application to Chaos Suppression in Interconnected Power System

Wang

Chen

Ding

2018

International Journal of Advanced Network, Monitoring and Controls

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Abstract-Interconnected power system is a typical nonlinear dynamical system, it will cause great harm to the interconnected power system when the chaos occurred. This paper analyses the nonlinear dynamical behavior of the interconnected power system with a uncertain electromagnetic disturbance amplitude, and the influence of the electromagnetic disturbance amplitude on the stability of the system is obtained. Thus, this paper proposes a novel non-singular terminal sliding mode control to restrain the chaos, then the system will reach a stable state in a fixed time.According to the theoretical analysis, by introducing the saturation function, the control method can solve the singularity problem in the sliding mode control, and the interconnected power system will be stable in a short time when it's in chaos. The simulation prove the correctness of the method.

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Nonlinear dynamic analysis of a single-machine infinite-bus power system

Cited by 32 publications

References 16 publications

Analysis on Nonlinear Dynamic Characteristic of Synchronous Generator Rotor System

Analysis on Nonlinear Dynamic Characteristic of Synchronous Generator Rotor System

An input-to-state stability approach to verify almost global stability of a synchronous-machine-infinite-bus system

A New Non-Singular Terminal Sliding Mode Control and Its Application to Chaos Suppression in Interconnected Power System

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