A stable isotope 13C separation three-stage cascade equipment using carbon monoxide (CO) cryogenic rectification was designed. The distillation columns were packed with self-developed high efficiency structure packing PACK-13C of 38 m height. The columns diameters are 0. 15 m, 0.08 m and 0.05 m respectively. The uniform design method was taken to optimize the cascades equipment. The effects of the reflux ratio, feed amount, inter-columns material flow on the 13C product purity and the energy consumption were analyzed synthetically. The mathematical model of the product purity relative to the reflux rati-o, feed amount, and inter-columns material flow and the mathematical model of the energy consumption relative to above decision variables were obtained by quadratic polynomial step-wise regression analysis of the experimental data. Then, the optimal operation conditions at the lowest energy consumptibn were achieved by the method of genetic algorithm. If the 13C product purity is more than 93%, the optimal inter-columns material flows are 18. 056 mol/ h, 236. 50 mol/h, 32. 400 mol/h and the reflux ratio is 74. 824. Compared with the initial designed conditions, the optimal operation conditions can reduce the energy consumption. The method of simulation and optimization could be applied to design 13C industrial and realize optimization design in traditional distillation process.%本工作设计了一套利用CO低温精馏分离稳定同位素13C的三级联装置,其填料层高度为38 m,塔径分别为0.15、0.08和0.05 m,塔内装填自主研发的高比表面PACK-13C专用填料.采用均匀设计方法进行级联装置的优化设计,综合分析了不同的回流比、原料量和级间进料量对同位素13C产品丰度和生产能耗的影响.对实验数据进行二次多项式逐步回归分析,获得了产品丰度与塔顶回流比、原料量及级间流量和能耗费用与回流比、原料量及级间流量的模型方程,并利用遗传算法对模型方程进行优化.模拟研究结果显示,优化后的三塔级联生产装置的各级间流量依次为18.056、236.50和32.400 mol/h,塔顶回流比为74.824,在此条件下可获得13C丰度≥93％.与初始设计值相比较,优化后降低了能耗费用成本.本工作提出的模拟优化研究方法可应用到同位素13C的产业化生产,以至推广到传统精馏过程的优化设计中.
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