本篇研究報告，在於探討運用全域最適化工具(alphaBB)來分析定溫定壓下多種混合物混合在一起是否會形成相分裂之研究報告。Calculation of phase and chemical equilibria is of fundamental importance for thedesign and simulation of chemical processes. Methods of minimizing the Gibbs free energy provide equilibriumsolutions that are candidates only for the true equilibrium solutions that, because the number and type ofphases must be assumed before Gibbs energy minimization problem can be formulated. The tangent plane stabilityproblems are challenging due to highly nonlinear thermodynamic functions. This work develops a globaloptimization approach for the tangent plane stability problem that provides a theoretical guarantee about thestability of the candidate equilibrium solution with computational efficiency. Self Associated Fluid Theory{(\sf SAFT)} Equation of State {\sf (EOS)} is used due to their ability to accurately predict the behavior ofnonideal vapor and liquid phases across a variety of compounds. The mathematical form of the stability problemwas analyzed by partially differentiating the SAFT EOS by density so as to obtain the density gradient. TheHessian analysis of density and Gibbs free energy were identified so as to satisfy the the condition of theglobal optimization approach. Computational results on problems with five two-components are presented.