Abstract
This study presents a novel and comparative approach to select an optimal path during direct Z-Matrix building process using Evolutionary Algorithms (EAs). The proposed evolutionary methods are based on selection of series and shunt elements (i.e., lines, transformers and generators) in optimal order for minimizing computation time. The proposed evolutionary methods are tested on IEEE 14-bus benchmark and the results are compared. The proposed method is also arranged to find the optimal path considering all possible network alterations due to all possible faults to avoid the requirement for repeating the calculation process for each single line fault. The comparative results indicate the feasibility and effectiveness of the method to find the optimal path in Z-matrix building process and considerably diminishing the time consumption for Z-matrix modification.
Highlights
Bus impedance matrix (Z-matrix) plays an important role in the field of power system analysis and operation
Direct method for Z-matrix building is based on a step by step procedure which in each step, different choices regarding different element to be added are on the table
Considering all possible network alterations due to fault occurrence in all network lines, it is noteworthy to state that based on the proposed method, for only one time, only one unique overall optimal path should be determined which is applicable for all of the mentioned network alterations and any further short-circuit computation, resulting in considerable improvement in computational efficiency
Summary
Bus impedance matrix (Z-matrix) plays an important role in the field of power system analysis and operation. Direct method for Z-matrix building is based on a step by step procedure which in each step, different choices regarding different element to be added are on the table. An effort has been made to present a comparative and novel approach for detecting the optimal path during Z-matrix building process for efficient short circuit computation in large power systems. The aim is to develop an optimization problem to find the best element order in the direct Z-Matrix building method and minimize the calculation time. Considering all possible network alterations due to fault occurrence in all network lines, it is noteworthy to state that based on the proposed method, for only one time, only one unique overall optimal path should be determined which is applicable for all of the mentioned network alterations and any further short-circuit computation, resulting in considerable improvement in computational efficiency. In order to nominate a solution method to the optimization problem with best convergence quality and speed, four popular evolutionary optimization algorithms are employed and compared, including: conventional Particle Swarm Optimization (PSO) as well as its three modified versions, Genetic Algorithms (GAs), Shuffled Frog Leaping Algorithm (SFLA) and Differential Evolution (DE) algorithm and its modified version
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