Lyapunov Functions Family Approach to Transient Stability Assessment

Vu, Thanh Long; Turitsyn, Konstantin

doi:10.1109/tpwrs.2015.2425885

Cited by 204 publications

(137 citation statements)

References 36 publications

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“…As such, the Lyapunov function V (x) is decaying inside the polytope Q. The other results immediately follow those in [9].…”

Section: A Proof Of the Transient Stability Certificatesupporting

confidence: 77%

“…In this section, we show that the Lyapunov function family approach [9], originally presented for the Kron-reduction model, is applicable to the transient stability analysis of structure-preserving power models. Then, we extend this family to a set of convex Lyapunov functions family, that will be instrumental to establish a lower bound of critical clearing time in the next section.…”

Section: Lyapunov Function Family Approach For Transient Stabilitymentioning

confidence: 99%

“…These points are considered as possible predictions for the fault-cleared state. 3) For each point x i , using the adaptation algorithm proposed in [9] to find a Lyapunov function V i (x) characterized by matrices Q i , K i such that the point x i stays inside the stability region estimate R Q defined in (13). This adaptation algorithm can quickly find a suitable Lyapunov function after a finite number of steps.…”

Section: Choosing Lyapunov Function and Parameter γmentioning

confidence: 99%

“…We aim to achieve this objective by developing a completely simulation-free technique for the estimation of critical clearing time. This technique is based on an extension of the recently introduced Lyapunov Functions Family (LFF) approach [9]. The principle of this approach is to provide transient stability certificates by constructing a family of Lyapunov functions and then finding the best suited function in the family for given initial states.…”

Section: Introductionmentioning

confidence: 99%

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Toward Simulation-Free Estimation of Critical Clearing Time

Araifi²,

Moursi

et al. 2016

IEEE Trans. Power Syst.

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Abstract-Contingency screening for transient stability of large scale, strongly nonlinear, interconnected power systems is one of the most computationally challenging parts of Dynamic Security Assessment and requires huge resources to perform time-domain simulations-based assessment. To reduce computational cost of time-domain simulations, direct energy methods have been extensively developed. However, these methods, as well as other existing methods, still rely on time-consuming numerical integration of the fault-on dynamics. This task is computationally hard, since possibly thousands of contingencies need to be scanned and thousands of accompanied fault-on dynamics simulations need to be performed and stored on a regular basis. In this paper, we introduce a novel framework to eliminate the need for fault-on dynamics simulations in contingency screening. This simulationfree framework is based on bounding the fault-on dynamics and extending the recently introduced Lyapunov Function Family approach for transient stability analysis of structure-preserving model. In turn, a lower bound of the critical clearing time (CCT) is obtained by solving convex optimization problems without relying on any time-domain simulations. A comprehensive analysis is carried out to validate this novel technique on a number of IEEE test cases.

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“…As such, the Lyapunov function V (x) is decaying inside the polytope Q. The other results immediately follow those in [9].…”

Section: A Proof Of the Transient Stability Certificatesupporting

confidence: 77%

Section: Lyapunov Function Family Approach For Transient Stabilitymentioning

confidence: 99%

Section: Choosing Lyapunov Function and Parameter γmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Toward Simulation-Free Estimation of Critical Clearing Time

Araifi²,

Moursi

et al. 2016

IEEE Trans. Power Syst.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Since the advancement of wide-area measurement system (WAMS) based on synchronized phasor measurements has made it possible to gain real-time information of transient stability status in power systems [2], power system transient stability assessment and emergency control have received renewed interests [3][4][5]. However, online transient rotor angle stability assessment is confronted with some serious challenges due to the increasing scale and more complex dynamics of power systems.…”

Section: Introductionmentioning

confidence: 99%

Wide-Area Measurement—Based Model-Free Approach for Online Power System Transient Stability Assessment

Huang

Chen

et al. 2018

Energies

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Online assessment of transient stability of power systems is critical for avoiding blackout. The increasing installation of phasor measurement units in power systems and the advancement of the wide-area measurement systems make it possible to develop methods for online assessment of power systems by using a large amount of real-time synchronous data. In this paper, we propose an approach based on the largest Lyapunov exponent (LLE) for online transient rotor angle stability assessment, using only wide-area measurement systems data. Through establishing a mathematical model that accounts for the LLE value and the rotor speed, as well as analyzing the post-fault phase-plane trajectory, we present a fast stability criterion to determine whether transient instability occurs. The proposed approach is model-free and does not need long-time LLE data to identify the final sign of the LLE. Furthermore, to reduce computational cost and realize online assessment for large-scale power systems, the critical generator pair (CGP) is recognized as the observation for the rotor angle stability assessment, and an effective algorithm for identifying the CGP is presented. Several case studies on the IEEE-39 bus test system and East China power grid are reported to demonstrate the accuracy and effectiveness of the proposed approach.Keywords: power system stability; online stability assessment; the largest Lyapunov exponent (LLE); rotor angle speed; wide-area measurement system (WAMS)

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A simultaneous phase sequence exchange control method based on transient energy function

Huang

2020

Int Trans Electr Energ Syst

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Emergency control systems can ensure the power grid stable operation. Phase sequence exchange (PSE) is a recently developed emergency control technology. In this article, a numerical search algorithm for finding PSE is proposed to reduce the maximum unbalanced energy of the system. This method can quickly identify the generator requiring PSE and obtain its power angle threshold without traversing all critical units. After fault clearance, taking the energy at the closest unstable equilibrium point as the critical energy of PSE, even if it is conservative when assessing the system stability, PSE is still conducive to the system stability. The complex search process of the controlling unstable equilibrium point is thus unnecessary. When the power angle reaches the threshold value, the selected generator PSE at the same time, which reduces the unbalanced energy and restrains the out-of-step system. Three test systems verified the proposed control method is effective.

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Lyapunov Functions Family Approach to Transient Stability Assessment

Cited by 204 publications

References 36 publications

Toward Simulation-Free Estimation of Critical Clearing Time

Toward Simulation-Free Estimation of Critical Clearing Time

Wide-Area Measurement—Based Model-Free Approach for Online Power System Transient Stability Assessment

A simultaneous phase sequence exchange control method based on transient energy function

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