Comprehensive evaluation of voltage stability based on EW-AHP and Fuzzy-TOPSIS

Abstract

Large-scale voltage collapse incidences, which result in power outages over large regions and extensive economic losses, are presently common occurrences worldwide. Therefore, the voltage stability analysis of power systems has become a topic of increasing interest. This paper firstly presents a comprehensive evaluation method for conducting static and transient voltage stability analysis in electric power systems. To overcome the limitations associated with single-index systems in the evaluation of voltage stability, the analysis approach employs a multi-index system with four primary criteria based on separate analysis methods with ten sub-criteria based on individual indices. In addition, this paper proposes a comprehensive method for establishing index weights, which combines the subjective analytic hierarchy process weighting method and the objective entropy weighting method. An innovative index-weight optimization method based on the Lagrange conditioned extreme value is presented and sensitivity analysis is applied to test the robust of the proposed method. Finally, Fuzzy-TOPSIS is employed to rank the voltage buses of a power system as the final results, considering system functionality and proportionality. The results obtained for an actual power grid in Hami City, China demonstrate that the proposed method represents an effective approach for determining the weakest bus in power systems.

A global satisfaction degree method for fuzzy capacitated vehicle routing problems

“…CVRPs with interval–valued capacities and fuzzy time windows are natural extensions to be solved with the proposed algorithm. Also Type-2 fuzzy numbers (see Figueroa-García [40] ) can help to represent other uncertainties and fuzzy decision making techniques can help to improve its application in real world scenarios (see Rivera–Niquepa et al [41] and Wu et al [42] ).…”

new energy power system security operation evaluation based on the SWOT analysis

“…This comparison of the results is made against the VIKOR and the TOPSIS methods. Computational steps of VIKOR 20 and TOPSIS 32 and are applied, and the results of VIKOR and TOPSIS are given in Table 11 and Table 12, respectively. The utility function distribution in three dimensional space shown in Fig.…”

“…However, conventional security analysis, whether static security analysis 8,[12][13][14] or dynamic security analysis [15][16][17][18][19] , usually can only analyze one aspect of power system security, which is not enough to describe the power system security as a whole. Therefore, only by comprehensively, multilevel and multi angle analysis of all aspects of the system including the randomness and fuzziness of components, loads and external conditions with the help of comprehensive evaluation method can we obtain an objective and overall understanding of power system security 20 . The so-called comprehensive evaluation refers to the objective, fair and reasonable comprehensive evaluation of the different aspects of the evaluated object.…”

“…Its core includes the index system of the evaluated object and the selected comprehensive evaluation method 21 . At present, the Multi-Criteria Decision-Making (MCDM) method is a powerful tool to widely used for comprehensive evaluation, such as analytic hierarchy process (AHP) [20][21][22][23][24] , entropy weight (EW) [22][23][24][25] , cloud method (CM) 21,25 , grey relation analysis (GRA) 26 , analytic network process (ANP) [27][28][29] , Decision Making Trialand Evaluation Laboratory (DEMETEL) [28][29][30][31][32] , Više-Kriterijumska Optimizacija I Kompromisno Rešenje (VIKOR) [30][31][32][33][34][35][36] , technique for order of preference by similarity to ideal solution (TOPSIS) 25,[33][34][35][36] evaluation method based on evidence theory. These MCDM evaluation methods are currently used in the ranking of indicators, risk identification and evaluation, sustainable development evaluation between countries, economic evaluation, social evaluation, environmental protection evaluation, technical evaluation and other issues.…”

New energy power system operation security evaluation based on the SWOT analysis

“…However, the conventional security analyses, whether static security analysis 8 , 15 – 17 or dynamic security analysis 18 – 22 , usually can only analyze one aspect of the power system security, which is certainly not enough to describe the power system security as a whole. Therefore, only through comprehensive, multi-level and multi angle analysis of all the aspects of the system including the randomness and fuzziness of components, loads and external conditions, with the help of comprehensive evaluation method, can we obtain an objective and overall understanding of the power system security 23 .…”