Hamilton-Based Stability Criterion and Attraction Region Estimation for Grid-Tied Inverters Under Large-Signal Disturbances

Tian, Zhen; Tang, Yu-Wen; Zha, Xiaoming; Sun, Jianjun; Huang, Meng; Fu, Xikun; Liu, Fei

doi:10.1109/jestpe.2021.3076189

Cited by 28 publications

(3 citation statements)

References 32 publications

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“…A classical non-linear LF is constructed for synchronous generators based on its swing equation [13]. Efforts have been made to extend the same to WT systems [14]; however, the system is assumed to have autonomous behaviour, as shown in Section III of [14]. In [15], a non-linear LF for a WT M. K. Bakhshizadeh, S. Ghosh (corresponding author), and Ł. Kocewiak are with Ørsted Wind Power A/S, Nesa Allé 1, 2820, Denmark (e-mail: modow@orsted.com; sujgh@orsted.com; lukko@orsted.com).…”

Section: Introductionmentioning

confidence: 99%

Transient Stability Analysis of Grid-connected Converters in Wind Turbine Systems Based on Linear Lyapunov Function and Reverse-time Trajectory

Kazem Bakhshizadeh,

Ghosh,

Yang

et al. 2024

Journal of Modern Power Systems and Clean Energy

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As the proportion of converter-interfaced renewable energy resources in the power system is increasing, the strength of the power grid at the connection point of wind turbine generators (WTGs) is gradually weakening. Existing research has shown that when connected with the weak grid, the stability of the traditional grid-following controlled converters will deteriorate, and unstable phenomena such as oscillation are prone to arise. Due to the limitations of linear analysis that cannot sufficiently capture the stability phenomena, transient stability must be investigated. So far, standalone time-domain simulations or analytical Lyapunov stability criteria have been used to investigate transient stability. However, the time-domain simulations have proven to be computationally too heavy, while analytical methods are difficult to formulate for larger systems, require many modelling assumptions, and are often conservative in estimating the stability boundary. This paper proposes and demonstrates an innovative approach to estimating the transient stability boundary via combining the linear Lyapunov function and the reverse-time trajectory technique. The proposed methodology eliminates the need of time-consuming simulations and the conservative nature of Lyapunov functions. This study brings out the clear distinction between the stability boundaries with different post-fault active current ramp rate controls. At the same time, it provides a new perspective on critical clearing time for wind turbine systems. The stability boundary is verified using time-domain simulation studies.

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Section: Introductionmentioning

confidence: 99%

Transient Stability Analysis of Grid-connected Converters in Wind Turbine Systems Based on Linear Lyapunov Function and Reverse-time Trajectory

Kazem Bakhshizadeh,

Ghosh,

Yang

et al. 2024

Journal of Modern Power Systems and Clean Energy

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“…Wang et al (2003), Wang (2007), and Yang and Wang (2012) gave many realization methods to transform general nonlinear systems into their Hamiltonian forms. In view of these, Tian et al (2022), Chen et al (2019), and Sun et al (2020), studied the stability of nonlinear systems based on the Hamiltonian method. Tian et al (2022) studied the stability criterion and attractive domain estimation of grid-connected inverters under large-signal disturbances based on Hamiltonian method.…”

Section: Introductionmentioning

confidence: 99%

“…In view of these, Tian et al (2022), Chen et al (2019), and Sun et al (2020), studied the stability of nonlinear systems based on the Hamiltonian method. Tian et al (2022) studied the stability criterion and attractive domain estimation of grid-connected inverters under large-signal disturbances based on Hamiltonian method. In Chen et al (2019), for four-wheel independent drive and four-wheel independent steering autonomous electric vehicles with actuator saturation, the authors proposed a simultaneous path tracking and lateral stability control method based on the Hamiltonian energy function.…”

Section: Introductionmentioning

confidence: 99%

Observer-based finite-time robust control of nonlinear time-delay uncertain systems with different power Hamiltonian function

Chunfu,

Yang

2023

Transactions of the Institute of Measurement and Control

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Using the Hamiltonian function method with different powers, this paper studies the observer-based finite-time robust control problem of general nonlinear uncertain systems with time delay and presents some new results on this issue. First, by applying Hamiltonian realization method, the paper develops an equivalent Hamiltonian form of original system and designs its observer system. Then, based on the observer system, we study finite-time control problem and present several finite-time stabilization and finite-time robust stabilization results by using the augmented technology and the Lyapunov method. Finally, a real unmanned vehicle is used to verify the performance of the observer-based finite-time robust stabilization controller. Different from the existing literature on Hamiltonian method, the Hamiltonian function in the paper has different powers, which implies that the results developed in the paper have a wider range of application.

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Port-Hamiltonian framework in power systems domain: A survey

Tõnso,

Kaparin,

Belikov

2023

Energy Reports

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Hamilton-Based Stability Criterion and Attraction Region Estimation for Grid-Tied Inverters Under Large-Signal Disturbances

Cited by 28 publications

References 32 publications

Transient Stability Analysis of Grid-connected Converters in Wind Turbine Systems Based on Linear Lyapunov Function and Reverse-time Trajectory

Transient Stability Analysis of Grid-connected Converters in Wind Turbine Systems Based on Linear Lyapunov Function and Reverse-time Trajectory

Observer-based finite-time robust control of nonlinear time-delay uncertain systems with different power Hamiltonian function

Port-Hamiltonian framework in power systems domain: A survey

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