Transient Stability Assessment of Prone-to-Trip Renewable Generation Rich Power Systems Using Lyapunov's Direct Method

Mishra, Chetan; Pal, Anamitra; Thorp, James S.; Centeno, Virgilio

doi:10.1109/tste.2019.2905608

Cited by 37 publications

(16 citation statements)

References 16 publications

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“…In [40 ], a control policy is designed and certified using barrier certificates such that the voltage limits during transients are respected under generated active and reactive power set points. Closely related works are the stability analysis based on Lyapunov functions [41–45 ].…”

Section: Passivity‐based Methodsmentioning

confidence: 99%

Review on set-theoretic methods for safety verification and control of power system

Zhang

Tomsovic

et al. 2020

IET Energy Systems Integration

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Increasing penetration of renewable energy introduces significant uncertainty into power systems. Traditional simulation-based verification methods may not be applicable due to the unknown-but-bounded feature of the uncertainty sets. Emerging set-theoretic methods have been intensively investigated to tackle this challenge. The paper comprehensively reviews these methods categorized by underlying mathematical principles, that is, set operation-based methods and passivity-based methods. Set operation-based methods are more computationally efficient, while passivity-based methods provide semi-analytical expression of reachable sets, which can be readily employed for control. Other features between different methods are also discussed and illustrated by numerical examples. A benchmark example is presented and solved by different methods to verify consistency.

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Section: Passivity‐based Methodsmentioning

confidence: 99%

Review on set-theoretic methods for safety verification and control of power system

Zhang

Tomsovic

et al. 2020

IET Energy Systems Integration

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“…Take the states to be 𝒙 = [𝒙 𝒙 ] . Separating the linear and non-linear parts, the state space model is of the form 𝒙̇= 𝑨𝒙 − 𝑩𝐹(𝑪𝒙) (5) where 𝐹(𝑪𝒙) = sin 𝛿 − sin 𝛿 * { , }∈𝜺 which is the nonlinear part; 𝑪𝒙 indicates the angle differences among generators; 𝜺 represents the set of branches in the Kron-reduced model. The parameter matrices of the model are as follows:…”

Section: 𝜔̇mentioning

confidence: 99%

“…Mishra et.al. proposed using sum of squares programming [4], [5] to estimate this region for direct stability assessment of power systems under LVRT constraints. However, this approach faces serious computational limitations and therefore not scalable to large systems.…”

Section: Introductionmentioning

confidence: 99%

Low Voltage Ride Through (LVRT) Constrained Transient Stability Assessment Using Lyapunov Functions Family Method

Wang

Mishra

Centeno

2020

2020 IEEE Power &Amp; Energy Society General Meeting (PESGM)

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Growing penetration of renewable generation in power systems brings more challenges in transient stability assessment using direct methods. One of the reasons is the inability to assess the risk of instability brought by tripping of a large amount of RGs due to violation of their ride through curves. In this paper, a scalable approach is proposed based on the Lyapunov functions family to estimate the stability region under ride through constraints. An inner polytopic approximation to the feasibility region is proposed to convexify the overall problem. The acquired constrained stability region estimate helps capture trajectories that trigger undesirable tripping of renewable generation. A 2machine system is used to visualize its effectiveness.

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“…At present, fault screening methods mainly include timedomain simulation method [4], Lyapunov method [5,6], extended equal area criteria [7] and other analysis methods. The calculation accuracy and speed of these methods are still needed to be improved to meet the actual requirements of online computing.…”

Section: Introductionmentioning

confidence: 99%

Transient stability assessment combined model framework based on cost‐sensitive method

Wang

Chen

Zhang

2020

IET Generation, Transmission & Distribution

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Transient Stability Assessment of Prone-to-Trip Renewable Generation Rich Power Systems Using Lyapunov's Direct Method

Cited by 37 publications

References 16 publications

Review on set-theoretic methods for safety verification and control of power system

Review on set-theoretic methods for safety verification and control of power system

Low Voltage Ride Through (LVRT) Constrained Transient Stability Assessment Using Lyapunov Functions Family Method

Transient stability assessment combined model framework based on cost‐sensitive method

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