Probabilistic Assessment of Voltage Stability Margin in Presence of Wind Speed Correlation

Abstract

-Probabilistic assessment of voltage stability margin (VSM) with existence of correlated wind speeds is investigated. Nataf transformation is adopted to establish wind speed correlation (WSC) model. Based on the saddle-node bifurcation transversality condition equations and Monte Carlo simulation technique, probability distribution of VSM is determined. With correlation coefficients range low to high value, the effect of WSC on VSM is studied. In addition, two risk indexes are proposed and the possible threat caused by WSC is evaluated from the viewpoint of risk analysis. Experimental results show that the presence of correlated wind speeds is harmful to safe and stable operation of a power system as far as voltage stability is concerned. The achievement of this paper gives a detailed elaboration about the influence of WSC on voltage stability and provides a potentially effective analytical tool for modern power system with large-scale wind power sources integration.

Latin Hypercube Sampling Based Probabilistic Small Signal Stability Analysis Considering Load Correlation

“…In addition, Wind speed correlation [22,25] and its effect on power system probabilistic small signal stability will be taken into account.…”

“…Under this circumstance, the undesired correlations between different input random variables may affect the accuracy of the solutions. In order to reduce the undesired correlation of sampling values of multiple input random variables, various permutation skills, such as Cholesky decomposition [14] and Nataf transformation [15,22], have been proposed in LHS. The Cholesky decomposition is employed in this paper to eliminate the correlation among rows of the sampling matrix X since the calculation burden of the Cholesky decomposition method is small when handling the problems with large numbers of input random variables [14].…”

Optimal wind capacity integration considering the possibilistic uncertainty of wind resources

“…Thus, it is essential to evaluate the grid integration of wind power [2]. A volume of researches related to wind power integration has been reported in the literature and can be categorized as the following three streams: 1) Assessment of maximal capability of incorporating wind power under various constraints [3][4][5][6][7][8][9]; 2) Economic dispatch of wind power with other power generation sources [10][11][12][13][14]; 3) Maximization of wind power penetration level in an existing grid [15][16][17][18][19][20].…”

“…These studies [10][11][12][13][14] cared more about ratings, cost, and locations of complementary resources. The third research stream focused on maximizing the penetration level of wind power while considering the power system technical constraints [18][19][20]. It was optimized within the limitation of frequency deviation [15], voltage rise [16] or transmission cost [17].…”

Ordinal Optimization Theory Based Planning for Clustered Wind Farms Considering the Capacity Credit

“…Lu et al [11] studied the optimal integration of offshore wind farms in China and showed that installing offshore wind farms in the dispersed regions of Bohai Bay, the Yangtze River Delta, and the Pearl River Delta could significantly smooth out the variability of wind power so that 28% of the overall offshore wind potential could be deployed as base-load power. Placing all the wind farms in some areas with rich resources might not be the best choice because a diversified distribution of wind farms would obtain a higher credit capacity [12,13].…”