Air separation is an essential industry for national economic development

its energy consumption has become the bottleneck of the development.Internal thermal coupled air separation column(ITCASC)changed the structure of traditional air separation column

which can achieve good energy efficiency and is a research front of air separation energy saving control.This paper presents an ITCASC hybrid method with the PCA-CGA-RBF statistical model of liquid phase composition

pressure and equilibrium temperature to instead of the traditional mechanisms of equilibrium stage modeling method

the proposed method can improve the efficiency of solving the model significantly.The results show that the solution time decreases from 31.06 s to 11.18 s

64.01% reduction

while the accuracy remains basically unchanged

which paves the way of further optimization and control researches.