CIESC Journal ›› 2019, Vol. 70 ›› Issue (2): 607-616.doi: 10.11949/j.issn.0438-1157.20181343

• Process system engineering • Previous Articles     Next Articles

Improved state transfer algorithm-based kinetics parameter estimation for cascaded plug flow reactors

Yongfei XUE1(),Yalin WANG1(),Bei SUN1,Qianzhong LI2,Jiazhou SUN1   

  1. 1. School of Information Science and Engineering, Central South University, Changsha 410083, Hunan, China
    2. Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2018-11-15 Revised:2018-11-21 Online:2019-02-05 Published:2018-12-04
  • Contact: Yalin WANG;


The actual chemical process reaction system usually consists of several interconnected cascaded reactor. To establish its mechanism model and estimate its dynamic parameters, it is necessary to repeatedly solve large-scale nonlinear differential equations. The calculation is very expensive. Since this parameter optimization process involves solving large sets of differential equations, it is very time consuming. According to the problem that intelligent optimization algorithm always needs enormous computing resource while a satisfied solution is acceptable for an industrial application, an improved state transfer algorithm (STA) is proposed to estimate the kinetics parameters of the cascaded plug flow reactors model. This method uses an opposite operator to initialize the start status of STA, and a tolerable error threshold to break the optimization process. This improvement is helpful since much computing time is saved while the global search capability and fast convergence capability of standard STA are retained. Simulation study, whose target is optimization the kinetics parameters of the cascaded plug flow reactors of an industrial hydrocracking process, verified the effectiveness and superiority of this proposed method.

Key words: cascaded plug flow reactors, reaction kinetics, kinetic modeling, parameter estimation, state transfer algorithm, expensive optimization, satisfied solution

CLC Number: 

  • TP 273


Diagram of plug flow reactor for modeling"


Cascaded plug flow reactors"


Optimization result of Michalewicz function by standard STA"


Kinetics parameters estimation of cascaded plug flow reactors based on improved STA"


Reaction network of six lumped components in four hydrocracking reactors"

Table 1

Physical property data used for estimating kinetics parameters of hydrocracking"

第1反应器中混合物的比定压热容cˉ1,13.14 kJ?kg-1?K-1
第2反应器中混合物的比定压热容cˉ1,22.48 kJ?kg-1?K-1
第3反应器中混合物的比定压热容cˉ1,32.47 kJ?kg-1?K-1
第4反应器中混合物的比定压热容cˉ1,42.26 kJ?kg-1?K-1
反应器级间冷氢的比定压热容cH214.32 kJ?kg-1?K-1
加氢裂化反应平均放热系数Hr418.4 kJ?kg-1
第1反应器中混合物的密度ρ1905 kg·m-3
第2反应器中混合物的密度ρ2833 kg·m-3
第3反应器中混合物的密度ρ3809.8 kg·m-3
第4反应器中混合物的密度ρ4737.1 kg·m-3


Fitness function of improving STA"

Table 2

Estimation results of kinetics parameters for hydrocracking reaction"



























ode15 s调用耗时/s30416.736199.9779.62

Table 4

Parameters setting of improved STA"



Prediction results on mass fraction of some key components at outlet of hydrocracking reactor"


Prediction results of outlet temperature for cascaded hydrocracking reactors"

Table 5

Statistical error of 16 hydrocracking testing samples which are adjacent"

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