Adoption of Pareto Charts in the Analysis of Input Variables Interaction and Selection of Input-Output Pairings in a Refinery Fluid Catalytic Cracking Unit

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Abstract

This paper presents a study of the effects of input variables (main factors) and their couplings on key process variables(responses) in a refinery fluid catalytic cracking (FCC)unit using pareto analysis. Five responses namely, Riser temperature(Trx),Regenerator temperature(Trg) ,flue gas oxygen concentration, (Od ),Gasoline yield(y2 ), Light gases yield(y3 )) and four main factors, namely gasoil feed rate(Fgr), regenerated catalyst flow rate(Frc),combustion air flow rate(Fa ), combustion air temperature(Ta )and were studied in a regular two-layer experimental design that generated 32 numerical experiments. A combination of Design Expert software and an in-mouse FCC unit simulator was used to conduct the numerical experiments from which pareto plots were generated as a tool for response-factor analysis. Results from this study show that Frc and Fgr are the only significant main factors with respect to riser temperature response. While the significance is of the order Frc> Fgr, Frc produced negative effect while Fgr produced positive effect on riser temperature while the interaction factor (Fgr+Frc) is the only cross-coupling .Cross -coupling of variables is more significant in the regenerator as two interaction factors (Fgr+Frc) and (Frc+Fa ) featured prominently and produced significant effects on regenerator temperature and flue gas oxygen concentration, respectively. The ranking of the effects on regenerator temperature is Frc>Fa > Fgr while that on flue gas oxygen concentration is Frc>Fgr>Fa . Results further show that while Frc, Fgr and Fa produced positive effects on regenerator temperature, only Fa produced negative effects in flue gas oxygen concentration. Moreover, the four main factors in this study and their couplings did not dhow direct effects on gasoline yield and light gases yield respectively. The results are in tandem with FCC unit behaviour and thus assert the merit in the adopted tool.
用帕累托图分析炼油流体催化裂化装置输入变量相互作用及输入产出对选择
本文采用帕累托分析方法研究了炼油厂催化裂化装置中输入变量(主因素)及其耦合对关键过程变量(反应)的影响。在常规的两层实验设计中,研究了提升管温度(Trx)、蓄热器温度(Trg)、烟气氧浓度(Od)、汽油产率(y2)、轻气产率(y3)等5个响应以及汽油进料速率(Fgr)、再生催化剂流速(Frc)、燃烧空气流速(Fa)、燃烧空气温度(Ta)等4个主要因素,共进行了32次数值实验。结合Design Expert软件和鼠标内FCC单元模拟器进行数值实验,从中生成帕累托图作为响应因子分析的工具。研究结果表明,Frc和Fgr是影响隔水管温度响应的主要因素。Frc> Fgr的显著性顺序为:Frc对提升管温度产生负影响,Fgr对提升管温度产生正影响,而交互因子(Fgr+Frc)是唯一的交叉耦合。在蓄热器中,变量的交叉耦合更为显著,两个交互因子(Fgr+Frc)和(Frc+Fa)分别对蓄热器温度和烟气氧浓度产生显著影响。对蓄热器温度的影响顺序为Frc>Fa >Fgr,对烟气氧浓度的影响顺序为Frc>Fgr>Fa。结果进一步表明,Frc、Fgr和Fa对蓄热器温度有正向影响,而Fa对烟气氧浓度有负向影响。此外,本研究的四个主要因素及其耦合作用对汽油产率和轻气产率没有直接影响。结果与FCC单元行为一致,从而断言所采用工具的优点。
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