K-OPLS方法在化工软测量建模中的应用

Application in soft sensing modeling of chemical process based on K-OPLS method

针对强非线性复杂化工过程的软测量建模问题,提出了一种基于核隐变量正交投影(K-OPLS)的建模方法。隐变量正交投影(O-PLS)是一种通用的线性多变量数据建模方法,它可以消除与响应变量(输出)正交的描述变量(输入)的总体变化。在O-PLS模型框架下, K-OPLS方法利用"核技巧"将描述变量映射到高维特征空间,计算模型中的预测成分和响应-正交成分。因此, K-OPLS方法通过给出描述与响应变量之间的非线性关系,在一定程度上提高了模型的性能,增强了模型的可解释性。为了验证K-OPLS方法的有效性,将其分别应用于脱丁烷塔基丁烷(C4)组分含量估计、工业流化催化裂化装置(FCCU)关键产品产量预测、硫回收装置(SRU)中H_2S和SO_2浓度预测的软测量建模实例中。实验结果表明,在相同条件下,与支持向量机(SVM)、最小二乘支持向量机(LSSVM)、主元分析-支持向量机(PCA-SVM)、极限学习机(ELM)、核极限学习机(KELM)和PCA-KELM方法相比较, K-OPLS方法具有更好的建模精度和模型泛化能力。

Aiming at the problem of soft sensing modeling for chemical process with strong nonlinearity and complexity,a soft sensing modeling method based on kernel-based orthogonal projections to latent structures(K-OPLS)is proposed.Orthogonal projections to latent structures(O-PLS)is a general linear multi-variable data modeling method.It can eliminate systematic variations from descriptive variables(input)that are orthogonal to response variables(output).In the framework of O-PLS model,K-OPLS method maps descriptive variables to high-dimensional feature space by using“kernel technique”to calculate predictive components and response-orthogonal components in the model.Therefore,the K-OPLS method gives the non-linear relationship between the descriptor and the response variables,which improves the performance of the model and enhances the interpretability of the model to a certain extent.To verify the validity of K-OPLS method,it was applied to soft sensing modeling of component content of debutane tower base butane(C4),the quality index of the key product output for industrial fluidized catalytic cracking unit(FCCU)and H 2S and SO 2 concentration in sulfur recovery unit(SRU).Compared with support vector machines(SVM),least-squares support-vector machine(LS-SVM),support vector machine with principal component analysis(PCA-SVM),extreme learning machine(ELM),kernel based extreme learning machine(KELM)and kernel based extreme learning machine with principal component analysis(PCA-KELM)methods under the same conditions,the experimental results show that the K-OPLS method has superior modeling accuracy and good model generalization ability.