Stability region of a wind power system under low-voltage ride-through constraint

Sohn, Alexandre Prodóssimo; Abrantes, Adriano Lima; Alberto, Luís; Chiang, Hsiao‐Dong

doi:10.1109/pesgm.2016.7741535

Cited by 5 publications

(5 citation statements)

References 7 publications

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“…In this regard, the idea of decomposition using a vector Lyapunov function (found to be applicable to large interconnected systems in [16]) can be explored. With regards to the conservativeness in our approach, modeling of LVRT constraints similar to [6] could be tried. Lastly, since the final estimate depended heavily on the relative location of the SEP and the feasibility boundary, in the expanding interior algorithm, shifting of the center of the expanding region could be attempted.…”

Section: Discussionmentioning

confidence: 99%

“…The only previous research on this topic [6] converted such constrained systems into unconstrained systems, paving the way for energy function based methods like boundary controlling unstable (BCU) equilibrium point method [7] to become applicable. Also proposed was a time independent formulation of the low voltage ride through (LVRT) constraint.…”

Section: Introductionmentioning

confidence: 99%

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Stability region estimation under low voltage ride through constraints using sum of squares

Mishra¹,

Thorp²,

Centeno³

et al. 2017

2017 North American Power Symposium (NAPS)

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Abstract-In an RG-rich system, this might alter the system dynamics and/or cause shifting of the equilibrium points to the extent that a cascaded tripping scenario is manifested. The present work attempts at avoiding such scenarios by estimating the constrained stability region (CSR) inside which the system must operate using maximal level set of a Lyapunov function estimated through sum of squares (SOS) technique. A time-independent conservative approximation of the LVRT constraint is initially derived for a classical model of the power system. The proposed approach is eventually validated by evaluating the stability of a 3 machine test system with trip-able RG. Keywords-Constrained stability region (CSR), direct methods, low voltage ride through (LVRT), sum of squares (SOS).

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability region estimation under low voltage ride through constraints using sum of squares

Mishra¹,

Thorp²,

Centeno³

et al. 2017

2017 North American Power Symposium (NAPS)

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“…The internal dynamics of the wind turbines were neglected, which overlooked their impact on the stability of the overall system. Due to the prevalence of induction generators in wind power plants [19,20], some scholars have used them to represent the wind generators [21,22]. [19] has presented an analytical method for analyzing the stability of induction generators under large disturbance.…”

Section: Introductionmentioning

confidence: 99%

“…[19] has presented an analytical method for analyzing the stability of induction generators under large disturbance. In [21], the concept of constrained stability region is used to study the transient stability of a power system with a wind generator subject to the low-voltage ride-through (LVRT) curve constraint. It paves the way for the implementation of energy function-based methods like the PEBS method [22] for power system stabil-ity assessment including renewable energy sources (RES) and considering their operating limits.…”

Section: Introductionmentioning

confidence: 99%

Estimating the region of attraction of wind integrated power systems based on improved expanding interior algorithm

Liu,

Yao,

Chen

et al. 2024

IET Generation Trans & Dist

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This paper proposes an improved expanding interior algorithm (EIA) to estimate the region of attraction (ROA) of power systems with wind power generation based on sum of squares (SOS) programming. An ordinary differential equation (ODE) model is derived for the doubly‐fed induction generator‐based wind turbine (DFIGWT), which is named as an enhanced synchronous‐generator‐mimicking (ESGM) model. The ESGM model bridges the gap between the requirement of an ODE model in ROA estimation and the conventional differential‐algebraic equation (DAE) model of the DFIGWT system. The ESGM model is able to accurately reflect the low frequency dynamics of the DFIGWT. Moreover, an improved EIA is designed to estimate the ROA based on SOS programming, which has higher efficiency than the existing ROA estimation algorithms based on SOS programming. It is able to adaptively search for the Lyapunov function and obtain an optimal estimation of the ROA in an iterative process. The accuracy and efficiency of this algorithm are verified in three test systems composed of DFIGWTs and synchronous generators (SGs). The morphological changes in the ROA of the test systems caused by the penetration of DFIGWT are examined.

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“…In this paper, we will show that the theory of constrained dynamical systems and the concept of constrained stability region (CSR) from [18] can be applied to enable direct methods to consider models of power systems with operational limits. Therefore, the problems of speed instability and violation of voltage limits in WTGs can be tackled altogether via direct methods, as introduced in preliminary studies [19, 20]. To the best of our knowledge, there is no proposed technique in the literature to address the aforementioned stability problems via direct methods and enable fast transient stability assessment in power system with integration of RERs.…”

Section: Introductionmentioning

confidence: 99%

Direct method for transient stability assessment of a single wind turbine generator subject to LVRT requirements

Sohn

Abrantes

Alberto³

2020

IET Generation Trans & Dist

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The authors report on a step towards the development of direct methods for transient stability assessment of power systems with integrated wind turbine generators subject to low voltage ride‐through constraints. In this study, they propose an approach to assess transient stability of a single wind turbine generator against an infinite bus using an energy function along with an extension of the potential energy boundary surface method. The proposed approach exploits the theory of constrained dynamical systems and the concept of constrained stability region to efficiently estimate critical clearing times taking into account not only the issue of stability due to rotor acceleration but also the issue of operational limit violations, such as low‐voltage ride‐through curve violations. Very often, wind turbine generators are disconnected due to violation of operational limits, such as under‐voltage limits, instead of rotor acceleration. The proposed approach correctly estimates the critical clearing times to avoid operational limit violations, such as the low‐voltage ride‐through constraint violation, while traditional direct methods would fail to appropriately estimate such clearing times. They illustrate the effectiveness of the proposed approach by means of case studies considering two types of wind turbine generators, the fixed‐ and limited‐variable‐speed wind turbine generators.

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Stability region of a wind power system under low-voltage ride-through constraint

Cited by 5 publications

References 7 publications

Stability region estimation under low voltage ride through constraints using sum of squares

Stability region estimation under low voltage ride through constraints using sum of squares

Estimating the region of attraction of wind integrated power systems based on improved expanding interior algorithm

Direct method for transient stability assessment of a single wind turbine generator subject to LVRT requirements

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