Stability enhancement of a wind plant based on a DFIG and a PMSM: A Lyapunov approach

Bennouk, A.; Nejmi, A.; Ramzi, Mohamed

doi:10.1016/j.egyr.2017.10.001

Cited by 11 publications

(5 citation statements)

References 3 publications

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“…(EF) [3]. The system is stable if and only if the energy of the system is positive and its time derivative is negative or if it is equated it to zero then the system is stable and will get maximum value of real power [4] otherwise any system can deteriorate. In [4], When two unique WTs were connected to a single grid, and EF was used to ensure the system's stability.…”

Section: ░ 1 Introductionmentioning

confidence: 99%

“…The system is stable if and only if the energy of the system is positive and its time derivative is negative or if it is equated it to zero then the system is stable and will get maximum value of real power [4] otherwise any system can deteriorate. In [4], When two unique WTs were connected to a single grid, and EF was used to ensure the system's stability. The proposed Lyapunov control strategy developed for wind turbine is used to ensure system stability and tracking path of maximum value of real powers with the help of power electronic based controllers [7]- [8].…”

Section: ░ 1 Introductionmentioning

confidence: 99%

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Lyapunov based Control Strategy for DFIG based Wind Turbines to Enhance stability and Power

Penta,

Benhadda,

Sujatha

2023

IJEER

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The Doubly Fed Induction Generators (DFIG) based wind turbine is fed with maximum power point tracking is presented in this paper in proposed technique the proportional coefficient tuned adaptively as per wind changes and compare with traditional approaches. This novel method uses three control laws to adjust the proportional gain adaptively to wind speed variations. The intended electrical torque is determined via feedback linearization in the first control law, which makes the assumption that the power capture coefficient and target rotor speed are instantly determined. The second control law uses a Lyapunov-based analysis to determine the power capture coefficient as per changes in wind speed, and the third control law establishes the required rotor speed. As a result of these control principles, the operating point of the turbine shifts in a direction that increases the power capture coefficient, leading the rotor speed to adaptively adjust in the direction of the desired speed. The proposed maximum power tracking method differentiates itself from the perturb-and-observe strategy by removing the need to include a dither or perturbation signal and reliably slipstram the trajectory of maximum power points even in the circumstance of a sudden change in wind velocity, which can cause the perturb-and-observe practice to fail.

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Section: ░ 1 Introductionmentioning

confidence: 99%

Section: ░ 1 Introductionmentioning

confidence: 99%

Lyapunov based Control Strategy for DFIG based Wind Turbines to Enhance stability and Power

Penta,

Benhadda,

Sujatha

2023

IJEER

View full text Add to dashboard Cite

show abstract

“…time is not positive, the system is stable. Otherwise, the system may become unstable [15,16]. Numerous attempts have been made to define the system EF although there is no direct way to define it.…”

Section: Introductionmentioning

confidence: 99%

“…Numerous attempts have been made to define the system EF although there is no direct way to define it. In [16], EF has been used to ensure the system's stability when two separate WTs were connected to a common grid. The Lyapunov stability theory was used to investigate the smallsignal stability of the DFIG [17].…”

Section: Introductionmentioning

confidence: 99%

New Analysis Framework of Lyapunov-Based Stability for Hybrid Wind Farm Equipped With FRT: A Case Study of Egyptian Grid Code

et al. 2021

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Due to the continuous increase of fuel prices and pollutions, the use of renewable energy especially wind has increased. In developing countries including Egypt, squirrel cage induction generator wind turbine (SCIG-WT) represents a considerable proportion of the total capacity of installed wind farm due to its qualities such as low cost and easy availability. However, its operation has a substantial effect on system stability. In contrast, doubly fed induction generator wind turbine (DFIG-WT) is broadly penetrated the electrical grid as it keeps the system stable. In this work, the ability of WT generators to continue operating rather than tripping at the time of faults is analyzed for proper stability investigation. The detailed control and stability of a grid-connected large scale SCIG and DFIG of Zafarana, Suez Gulf area, Egypt are discussed whereas the parameters of fault ride through (FRT) curve of Egypt grid code is utilized. Moreover, a precise analytical stability argument using a proposed integrated nonlinear dynamical model is presented. Conditions for global asymptotic stability of the SCIG in the sense of Lyapunov function (LF) are given and tested by time domain simulation. The eigenvalues of the matrices of LF and its derivative are determined by which the stability boundaries are determined depending on the positivity of these matrices. The dynamic behavior of the whole system is simulated in MATLAB/ Simulink interface programming while the practical data are collected from an experimental model consisting of DFIG-WT to demonstrate the efficacy of the FRT control system.

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“…In those papers, the stability of a control algorithm proposed for the transitions of the wind turbine between the under rated and the rated operations is analyzed by means of the Lyapunov criterion. Bennouk et al [24] carry out a Lyapunov based stability analysis of the DFIG system of a wind turbine.…”

Section: Introductionmentioning

confidence: 99%

Kharitonov Theorem Based Robust Stability Analysis of a Wind Turbine Pitch Control System

et al. 2020

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Wind energy has recently become one of the most prominent technologies among electrical energy generation systems. As a result, wind-based renewable energy generation systems are incessantly growing, and wind turbines of different characteristics are being installed in many locations around the world. One drawback associated with different characteristics of the wind turbines is that controllers have to be designed individually for each of them. Additionally, stable performance of the wind turbines needs to be ensured in the whole range of their operating conditions. Nowadays, there are many causes for uncertainties in the actual performance of a horizontal axis wind turbine, such as variations in the characteristics of the wind turbine, fabrication tolerances of its elements or non-linearities related to different operating-points. Hence, in order to respond to these uncertainties and ensure the stability of the wind turbine, robust control and stability theories have been gaining importance during recent years. Nevertheless, the use of robust stability analyses with complex wind turbine models still needs to be faced and remarkably improved. In this paper, a stability analysis of the pitch system control of a horizontal axis wind turbine based on the Kharitonov robust stability method is proposed. The objective was to assess the robust stability of a pitch controller in response to uncertainties arising from varying operating conditions of the National Renewable Energies Laboratory (NREL) 5 MW class IIA wind turbine. According to the results, the proposed method could satisfactorily respond to limited variations in the characteristics of the model, but could lack accuracy in cases of bigger variations or employment of high order complex mathematical models.

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Stability enhancement of a wind plant based on a DFIG and a PMSM: A Lyapunov approach

Cited by 11 publications

References 3 publications

Lyapunov based Control Strategy for DFIG based Wind Turbines to Enhance stability and Power

Lyapunov based Control Strategy for DFIG based Wind Turbines to Enhance stability and Power

New Analysis Framework of Lyapunov-Based Stability for Hybrid Wind Farm Equipped With FRT: A Case Study of Egyptian Grid Code

Kharitonov Theorem Based Robust Stability Analysis of a Wind Turbine Pitch Control System

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