Method for considering uncertainties for robust tuning of PSS and evaluation of stability limits

Maslennikov, V.A.; Ustinov, S. M.; Milanović, Jovica V.

doi:10.1049/ip-gtd:20020105

Cited by 11 publications

(4 citation statements)

References 10 publications

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“…Since the magnitude of the voltage amplitude is changing as the iteration proceeds, it is important to note what V (1) represents, as shown by Equations ( 10), (11), and (21).…”

Section: Convergence Analysis Of the Fuzzy Newton Methodsmentioning

confidence: 99%

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Improvement of Fuzzy Newton Power Flow Convergence

Zhao,

Zheng,

Zhen

et al. 2023

Energies

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In order to address the convergence issue in fuzzy power flow calculations, this paper proposes an analytical approach based on the Levenberg–Marquardt method, aiming to improve the convergence of the fuzzy Newton power flow method. Firstly, a detailed analysis is conducted on the convergence theorem and convergence behavior of the fuzzy Newton method, revealing its poor convergence when the initial values are not properly selected. The Levenberg–Marquardt method is then selected as a means to enhance the convergence of the fuzzy Newton power flow calculations, specifically to tackle the problem of initial value deviation. Since the Jacobian matrix has a significant impact on the convergence region of the power flow, this paper reconstructs the Jacobian matrix based on the Levenberg–Marquardt method, effectively enlarging the convergence region. Through validation experiments on the IEEE 118 standard nodes and simulation comparative analysis, the results confirm the method’s effectiveness in resolving the problem of initial value deviation and notably enlarging the convergence region, thereby improving the convergence of power flow calculations.

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“…Since the magnitude of the voltage amplitude is changing as the iteration proceeds, it is important to note what V (1) represents, as shown by Equations ( 10), (11), and (21).…”

Section: Convergence Analysis Of the Fuzzy Newton Methodsmentioning

confidence: 99%

“…There are numerous variables of uncertainty in power systems [1,2], which are typically handled as planning and forecasting problems. Power systems involve more complex analyses, such as load flow [3][4][5], and using deterministic methods for analysis cannot provide accurate results.…”

Section: Introductionmentioning

confidence: 99%

Improvement of Fuzzy Newton Power Flow Convergence

Zhao,

Zheng,

Zhen

et al. 2023

Energies

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“…In [6], the SSV framework was used to determine robust stability margins of a power system with respect to perturbations on operating conditions. Recent work has focused on the analysis of robust stability and control performance in power systems subject to changes in both operating conditions and uncertainty in model parameters [6,10]. Relatively little work has examined the impact of uncertainty of operating conditions on system stability.…”

Section: Stability Assessment Of Power Systems 29mentioning

confidence: 99%

An Efficient μ-Analysis Approach to Robust Stability Assessment of Large-Scale Power Systems

Messina

2007

Electric Power Components and Systems

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In this article, a general approach based on structured singular value ( ) analysis techniques is proposed for robust stability assessment of large-scale power systems with respect to parameter variations. First, structured singular value theory is utilized to find a linear fractional transformation based uncertainty representation of the system that explicitly captures the effect of uncertain real-valued parameter variations on the linear power system model. Techniques to handle parametric uncertainties occurring simultaneously at several locations in the system are then given, and methods to characterize uncertainty are discussed. The performance robustness of the proposed method is tested on a 6-area, 377-machine model of the Mexican interconnected system. In particular, the developed technique is used to analyze the influence of variations in system operating conditions and uncertainty in the structure of the power system on the stability robustness of two major inter-area modes. Several case studies are presented and discussed in which both conventional eigenanalysis techniques and -analysis methods are used to analyze stability robustness in the presence of multiple variations in operating conditions. Numerical issues associated with the application of the procedures to large scale power system models are also discussed.

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“…[6], the SSV framework was used to determine robust stability margins of a power system with respect to perturbations on operating conditions. Recent work has focused on the analysis of robust stability and control performance in power systems subject to changes in both, operating conditions and uncertainty in model parameters [6,10].…”

Section: Introductionmentioning

confidence: 99%