NOMENCLATUREVi min , Vi max The minimum and maximum voltage in the bus i, respectively GA, nb-1 Genetic algorithm, All basses except Slack bus, respectively Pi min , Pi max The minimum and maximum active power in the bus i, respectively OA Orthogonal Arrays Qi min , Qi max The minimum and maximum reactive power in the bus i, respectively Level The value of a random variable is based on an orthogonal array sij max Maximum apparent transmission power Delta The main effect of random variables on performance indicators 𝑇 𝑖 𝑚𝑎𝑥 . 𝑇 𝑖 𝑚𝑖𝑛 The maximum, and minimum taps number of transformers, respectively Rank, TM Random variable class, and Taguchi method, respectively fjψ, f*ψ The power and the nominal power passing through the ψ transmission line and experiment j, respectively Vi,j The voltage of bus i, and j respectively Nexp, ng, NC, NT, N, NB, NL Number of experiments, generator, compensators, transformers,modules, buses, and lines, respectively Gi,j , 𝐵 𝑖𝑗 Line ij conductance, and suspension respectively