高等学校化学学报 ›› 1998, Vol. 19 ›› Issue (10): 1581.

• 研究简报 • 上一篇    下一篇

色谱灰色数模的建立及其应用研究(Ⅱ)——NLCGM(1,1)模型的建立及芳烃保留行为的预测

张素萍, 孙兆林, 冷静, 张晓彤, 周山花   

  1. 抚顺石油学院应用化学系, 抚顺, 113001
  • 收稿日期:1998-01-23 出版日期:1998-10-24 发布日期:1998-10-24
  • 通讯作者: 孙兆林
  • 作者简介:张素萍,女,25岁,硕士研究生.
  • 基金资助:

    国家自然科学基金(批准号:29505036)资助课题.

Development and Application of Chromatographic Gray Model(Ⅱ)——Establishment of Nonlinear Continuous Gray Model NLCGM(1,1) and Prediction Retention Behavior of Aromatic Hydrocarbons

ZHANG Su-Ping, SUN Zhao-Lin, LENG Jing, ZHANG Xiao-Tong, ZHOU Shan-Hua   

  1. Department of Applied Chemistry, Fushun Petroleum Institute, Fushun, 113001
  • Received:1998-01-23 Online:1998-10-24 Published:1998-10-24

关键词: 灰色系统, 灰色模型, 液相色谱

Abstract: The deficiency of the traditional GM(1,1) model for solving the nonlinear problem is pointed out, and an improved model NLCGM(1,1) is proposed by means of gray theory. During establishing the model, the double fitting is introduced both to improve the accuracy of the prediction and to achieve the continuous model. The model has been successfully applied to study the relationship between the capacity factor (k') of 32 polycyclic and monocyclic aromatic hydrocarbons and the composition of mobile phase(φ) in high performance liquid phase chromatography, and good results are obtained. In conclusion, there are three advantages for NLCGM(1,1) model. (1) Capacity factor can be predicted at any composition of mobile phase because the independent variable of the gray model can change continuously. (2) The precision of NLCGM(1,1) is higher than that of the traditional GM(1,1). (3) The traditional GM(1,1) is the special case of NLCGM(1,1). Therefore, the establishment of NLCGM(1,1) broadens the applied range of gray model.

Key words: Gray system, Gray model, Liquid chromatography

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