华南理工大学学报(自然科学版) ›› 2007, Vol. 35 ›› Issue (10): 7-13.

• 创刊五十周年纪念专辑 • 上一篇    下一篇

纸浆卡伯值的在线测量数学模型

刘焕彬 李继庚 闫东波 沈文浩   

  1. 华南理工大学 制浆造纸工程国家重点实验室,广东 广州 510640
  • 收稿日期:2007-03-25 出版日期:2007-10-25 发布日期:2007-10-25
  • 通信作者: 刘焕彬(1942-) ,男,教授,俄罗斯工程院外籍院士,主要从事制浆造纸过程建模、模拟与控制的研究. E-mail:hbliu@scut. edu.cn
  • 作者简介:刘焕彬(1942-) ,男,教授,俄罗斯工程院外籍院士,主要从事制浆造纸过程建模、模拟与控制的研究.

Mathematical Model for On-Line Measurement of Pulp Kappa Number

Liu Huan-bin  Li Ji-geng  Yan Dong-bo  Shen Wen-hao   

  1. State Key Laboratory of Pulp and Paper Engineering, South China Univ. of Tech. , Guangzhou 510640 , Guangdong , China
  • Received:2007-03-25 Online:2007-10-25 Published:2007-10-25
  • Contact: 刘焕彬(1942-) ,男,教授,俄罗斯工程院外籍院士,主要从事制浆造纸过程建模、模拟与控制的研究. E-mail:hbliu@scut. edu.cn
  • About author:刘焕彬(1942-) ,男,教授,俄罗斯工程院外籍院士,主要从事制浆造纸过程建模、模拟与控制的研究.

摘要: 从Kubelka-Munk 基本方程和纸浆中残留木素的光谱特性出发推导出纸浆浸反射理论模型,进而根据纸浆残余木素与纸浆卡伯值的本质关系推导出在线实时测量纸浆卡伯值的理论模型.根据纸浆中残留木素的光谱吸收特性,选择F390 , F560 和FS40 为自变量,建立了"三波长"纸浆卡伯值光谱测量简化模型.该模型结构简羊,物理意义清晰,能够揭示模型自变量与卡伯值之间的线性关系.由于从机理模型变为简化模型经过了多次线性近似和简化,造成了纸浆卡伯值与反射光谱间的非线性信息缺失.为此,结合纸浆卡伯值光谱测量简化模型和自适应神经模糊推理系统(ANFIS) ,建立了纸浆卡伯值在线光谱测量的融合模型,经过样本训练后,融合模型预测结果稳定,精度高.

关键词: 纸浆, 卡伯值, 在线测量, 数学模型, 浸反射光谱测量, ", 三波长", 模型

Abstract:

Based on the Kubelka-Munk equation and the spectrum features of the residuallignin in pulp , the theoreticalmodel describing the pulp diffuse reflection is established. According to the intemal relationship between theresiduallignin in pulp and the pulp Kappa number , the model for the on-line measurement of pulp Kappa numberis presented. Then , according to the absorbing spectrum of the residuallignin in pulp , F390 , FS60 and FS40 are usedas independent variables to build a simplified measuring model named "tri-wavelength". The simplified model issimple in structure and clear in physical description , and it can reveal the linear relationship between the Kappanumber and the independent variables. However , the proposed model omits the nonlinear relationship between theKappa number and the reflected spectrum due to the simplification and linearization in the transformation from theoreticalmodel to simplified one. In order to solve this problem , the simplified measuring model of Kappa number iscombined with the adaptive neural-fuzzy inference system (ANFIS) to build a fusion model for the on-line measurementof Kappa number. After the sample training , the proposed fusion model is of good stability and high precislon.

Key words: pulp, Kappa number, on-line measurement, mathematical model, diffuse reflection spectrum measurement, "tri -wavelength", model