An Optimal Thévenin Equivalent Estimation Method and its Application to the Voltage Stability Analysis of a Wind Hub

Burchett, Stephen M.; Douglas, Daniel; Ghiocel, Scott G.; Liehr, Maximilian; Chow, Joe H.; Kosterev, Dmitry; Faris, Anthony; Heredia, Eric; Matthews, Gordon

doi:10.1109/tpwrs.2017.2776741

Cited by 43 publications

(13 citation statements)

References 7 publications

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“…This method can be applied off-line to get a general trend of the Thévenin equivalent, and on-line to track the variation of the Thévenin equivalent in a finer time scale. This method has been applied to a wind hub in a 230-kV system [50]. All three methods are applicable to both on-line and offline estimation.…”

Section: Thévenin Equivalent For Voltage Stability Analysismentioning

confidence: 99%

Review of Challenges and Research Opportunities for Voltage Control in Smart Grids

Sun

Guo

et al. 2019

IEEE Trans. Power Syst.

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329

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In this paper, we review the emerging challenges and research opportunities for voltage control in smart grids. For transmission grids, the voltage control for accommodating wind and solar power, fault-induced delayed voltage recovery (FIDVR), and measurement-based Thévenin equivalent for voltage stability analysis are reviewed. For distribution grids, the impact of high penetration of distributed energy resources (DER) is analyzed, typical control strategies are reviewed, and the challenges for local inverter Volt-Var control is discussed. In addition, the motivation, state-of-art, and future directions of the coordination of transmission system operators (TSO) and distribution system operators (DSO) are also thoroughly discussed.

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Section: Thévenin Equivalent For Voltage Stability Analysismentioning

confidence: 99%

Review of Challenges and Research Opportunities for Voltage Control in Smart Grids

Sun

Guo

et al. 2019

IEEE Trans. Power Syst.

Self Cite

329

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“…where e k is the prior error, r k is the posterior error. It should be noted that in (22), the update calculation of TEPs requires the posteriori error r k as a known condition, but r k is not available when L k is unknown. Therefore, L k and r k are interdependent.…”

Section: Of 16mentioning

confidence: 99%

“…In addition, due to external interference or internal failure of the system, the measured value of PMU data acquired or transmitted can be different from the actual value [21]. In order to deal with this issue, some scholars have tried to use state estimation methods to solve problems caused by erroneous data [21][22][23][24][25][26][27][28][29]. An optimal Thévenin model parameter estimation method was proposed in [22], which did not need to solve a system of nonlinear equations with measurement and quantization noise.…”

Section: Introductionmentioning

confidence: 99%

“…In order to deal with this issue, some scholars have tried to use state estimation methods to solve problems caused by erroneous data [21][22][23][24][25][26][27][28][29]. An optimal Thévenin model parameter estimation method was proposed in [22], which did not need to solve a system of nonlinear equations with measurement and quantization noise. In [23], based on the representation and manipulation of measured voltage phasors in the complex voltage plane, a graphical method for deriving TEPs was developed.…”

Section: Introductionmentioning

confidence: 99%

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Thévenin Equivalent Parameter Adaptive Robust Estimation Considering the Erroneous Measurements of PMU

et al. 2020

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Parameter estimation based on the measurement data of the phasor measurement unit (PMU) is an important approach for identifying the Thévenin equivalent parameters (TEPs) of power systems. However, in the process of acquiring or transmitting data in PMU, measurement errors due to external interference or internal system faults will affect the accuracy of parameter estimation. In this paper, a TEP estimation algorithm based on local PMU measurement is proposed. The algorithm considers the errors of the PMU and introduces Huber function and projection statistics (PS) to eliminate the effects of outliers and leverage measurements, respectively. Additionally, a variable forgetting factor (VFF) is used to quickly eliminate the historical data with measurement deviation and track the changes of the system. The regularization technique is used to solve the divergence problem in the inverse process of the ill-conditioned matrix, thereby improving the stability and generalization performance of the algorithm. Finally, by minimizing the cost function of this algorithm, a recursive formula for the equivalent parameter estimation is derived. The effectiveness of the algorithm is verified on the IEEE 118-bus and IEEE 30-bus systems, and compared with recursive least squares (RLS) and Huber’s M-Estimation; the mean relative errors decreased by 94.75% and 84.77%, respectively.

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“…PMU measurements have been used in Reference [36] to estimate the relative VSM of the affected load buses. Burchett et al [37] have proposed a method to compute the static TE voltage and reactance of a power system using measured data. In this research, TE parameters are used to compute the maximum power transfer capability of a wind hub that is constrained by voltage stability.…”

Section: Introductionmentioning

confidence: 99%

Real-Time Voltage Stability Assessment Method for the Korean Power System Based on Estimation of Thévenin Equivalent Impedance

Lee

Han²

2019

Applied Sciences

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This study aims to develop a real-time assessing methodology for a power systems voltage stability. The proposed algorithm is based on the Thévenin equivalent (TE) impedance estimation method, which applies the phasor measurement unit technology practically. To present an accurate analysis of the real-time situations of a power system, the developed voltage stability index can be used as useful information for system operators to establish appropriate countermeasures. Moreover, by considering the results of voltage stability margin calculation within the Korean power system, the effect of voltage stability on the dynamic behavior of the system is presented. Furthermore, to increase the accuracy, load model parameter estimation is introduced in this algorithm. The load model might be used for calculating the stability margin more accurately. The power-voltage curve is drawn in theory using the TE voltages and impedances. To validate the case study of the proposed method, simulations were executed using the Matlab software. The simulations demonstrated the effectiveness of the proposed method and detected voltage stability/instability under severe contingency scenarios.

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An Optimal Thévenin Equivalent Estimation Method and its Application to the Voltage Stability Analysis of a Wind Hub

Cited by 43 publications

References 7 publications

Review of Challenges and Research Opportunities for Voltage Control in Smart Grids

Review of Challenges and Research Opportunities for Voltage Control in Smart Grids

Thévenin Equivalent Parameter Adaptive Robust Estimation Considering the Erroneous Measurements of PMU

Real-Time Voltage Stability Assessment Method for the Korean Power System Based on Estimation of Thévenin Equivalent Impedance

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