摘要：Rising energy costs and growing environmental awareness motivate a critical revision of the design of distillation units. Systematic design techniques, such as the rectification b.dy, column profile map, and temperature collocation methods, require exact knowledge of all pinch points in a particular system, b.cause these stationary points delineate the possib.e composition trajectories realizab.e in separation columns. This paper demonstrates novel methods for rigorously determining all pinch points for the constant relative volatility, ideal and non-ideal systems. Constant relative volatility and ideal solution systems are transformed into one-dimensional polynomial and nonlinear functions, regardless of the numb.r of the components. A deflation method is proposed to locate all zeros in ideal and non-ideal zeotropic prob.ems. For more challenging non-ideal prob.ems, a novel hyb.id sequential niche algorithm is used to solve hard azeotropic prob.ems successfully. Finally, the design implications of these pinch point locations are investigated to show how new separation configurations can b. devised. Methodically the paper points out the use of rigorous pinch point computations in conjunction with continuous composition profiles for rob.st distillation design.