间歇冷却结晶过程模型参数及操作敏感性分析  

Sensitivity analysis of model parameters and process operation for batch cooling crystallization process

作　　者：连斌 龙妍 徐啟蕾[1] 单宝明[1] 王学重 张方坤 LIAN Bin;LONG Yan;XU Qiei;SHAN Baoming;WANG Xuezhong;ZHANG Fangkun(College of Automation and Electronic Engineering,Qingdao University of Science&Technology,Qingdao 266061,Shandong,China;School of Chemical Engineering,Beijing Institute of Petrochemical Technology,Beijing 102627,China)

机构地区：[1]青岛科技大学自动化与电子工程学院,山东青岛266061 [2]北京石油化工学院化学工程学院,北京102627

出　　处：《化工学报》2024年第12期4587-4595,共9页CIESC Journal

基　　金：国家自然科学基金项目(62103216);山东省自然科学基金项目(ZR2020QF060)。

摘　　要：针对结晶模型中动力学模型参数和操作参数的不确定性,以间歇冷却结晶过程为研究对象,考虑了基于粒数衡算模型的三种简化结晶过程,评估了参数对产品晶体尺寸分布(CSD)和细晶形成的敏感性。在确保修正Morris筛选法和PAWN法收敛的情况下,分别定量分析了12个参数对晶体生长(CG)、晶体生长-成核(CGN)和晶体生长-成核-溶解(CGND)三种结晶过程模型有关产品指标的局部与全局敏感性,并进行了参数敏感性排序。结果表明,对于不同复杂度的模型情况,参数的敏感性有所不同。针对产品CSD,参数μ、C_(0)、b和m_(0)在CG和CGN中表现出显著敏感性,参数在CGND中不敏感;针对细晶,参数b、g和C_(0)在CGN中表现出显著敏感性,参数C_(0)、T_(0)、g、b和μ在CGND中表现出敏感性。通过敏感性分析法可以对不同结晶过程筛选出最重要的扰动参数,这将有助于指导鲁棒优化设计中选择需要考虑的模型误差和操作条件扰动。The study aimed to analyze the uncertainties associated with kinetic model parameters and operating parameters in the crystallization model.Three simplified crystallization process models,based on the population balance equations,were considered to analyze the batch cooling crystallization process.The sensitivity of the parameters to the product crystal size distribution(CSD)and the formation of fine crystals was evaluated.The local and global sensitivities of 12 parameters to the three crystallization process models of crystal growth(CG),crystal growth-nucleation(CGN)and crystal growth-nucleation-dissolution(CGND)were quantitatively analyzed,while the convergence of the modified Morris screening method and PAWN method was ensured.And the parameter sensitivities were sorted.The results show that the sensitivity of parameters is different for model situations of different complexity.For product CSD,the parametersμ,C_(0),b,and m_(0) exhibit significant sensitivity in CG and CGN,while all parameters are insensitive in CGND.For fine crystals,the parameters b,g,and C_(0) exhibit significant sensitivity in CGN,and parameters C_(0),T_(0),g,b andμshow sensitivity in CGND.Sensitivity analysis can be used to identify the most crucial disturbance parameters for various crystallization processes.This can guide the selection of the consideration of model errors and operating condition perturbations in robust optimization design.

关 键 词：敏感性分析 动力学模型 粒度分布 粒数衡算模型 结晶 

分 类 号：TQ028.5[化学工程]