Phase Partition of Batch Process Based on Instantaneous Frequency Response Function

Abstract

Abstract: Multi-phases characteristic is one of the essential characteristics of batch process, and the effective phase partition of batch process is the basis of fault monitoring. Most of the traditional phase partition methods focus on the input and output data of the process, which is sensitive to the input and output data mutation. In this paper, a phase partition method of batch process based on instantaneous frequency response function is proposed. This method uses instantaneous frequency response function to replace the input and output data for phase partition based on the instantaneous dynamic characteristics of the system. Wavelet transform is used to estimate the instantaneous frequency response function of the system and the kernel principal component analysis is used to reduce the dimension. The frequency response function is clustered by fuzzy C-means clustering to partition the phase. Experimental results show that the proposed method can realize the phase partition of batch process and has high robustness.

Key words: batch process, phase partition, frequency response function, wavelet transform

LI Yu-bin, YU Tao. Phase Partition of Batch Process Based on Instantaneous Frequency Response Function[J]. Computer and Modernization, 2022, 0(02): 65-69.

References ［23］

［1］	CHU F, WANG J C, ZHAO X, et al. Transfer learning for nonlinear batch process operation optimization［J］.Journal of Process Control, 2021,101:11-23.
［2］	ZHOU L M, JIA L, WANG Y L, et al. An integrated robust iterative learning control strategy for batch processes based on 2D system［J］. Journal of Process Control, 2020,85:136-148.
［3］	李征,王普,高学金,等. 基于信息增量矩阵的多阶段间歇过程质量预测［J］. 化工学报, 2018,69(12):5164-5172.
［4］	赵小强,牟淼. 基于变量分块的KDLV-DWSVDD间歇过程故障检测算法研究［J］. 仪器仪表学报, 2021，42(2):244-256.
［5］	REN J Y, NI D. A batch-wise LSTM-encoder decoder network for batch process monitoring［J］. Chemical Engineering Research and Design, 2020,164:102-112.
［6］	PENG C, LU R W, KANG O, et al. Batch process fault detection for multi-stage broad learning system［J］. Neural Networks, 2020,129:298-312.
［7］	ZHU J L, WANG Y Q, ZHOU D H, et al. Batch process modeling and monitoring with local outlier factor［J］. IEEE Transactions on Control Systems Technology, 2019,27(4):1552-1565.
［8］	赵春晖,余万科,高福荣. 非平稳间歇过程数据解析与状态监控——回顾与展望［J］. 自动化学报, 2020,46(10):2072-2091.
［9］	NOMIKOS P, MACGREGOR J F. Monitoring batch processes using multiway principal component analysis［J］. AIChE Journal, 1994,40(8):1361-1375.
［10］	NOMIKOS P, MACGREGOR J F. Multi-way partial least squares in monitoring batch processes［J］. Chemometrics and Intelligent Laboratory Systems, 1995,30(1):97-108.
［11］	LU N Y, GAO F R, WANG F L. Sub-PCA modeling and on-line monitoring strategy for batch processes［J］. AIChE Journal, 2004,50(1):255-259.
［12］	LU N Y, GAO F R. Stage-based process analysis and quality prediction for batch processes［J］. Industrial & Engineering Chemistry Research, 2005,44(10):3547-3555.
［13］	于涛,李和平,王建林,等. 基于滑动时间窗口加权MPCA的间歇过程监测方法［J］. 北京化工大学学报(自然科学版), 2015,42(4):112-119.
［14］	高学金,杨彦霞,王普,等. 基于扩展核熵负载矩阵的发酵过程故障监测［J］. 控制理论与应用, 2018,35(6):813-821.
［15］	周祎,张二亮. 低阻尼多变量系统频率响应函数的非参数辨识方法［J］. 振动与冲击, 2020,39(19):182-186.
［16］	ZENZEN R, BELAIDI I, KHATIR S, et al. A damage identification technique for beam-like and truss structures based on FRF and Bat Algorithm［J］. Comptes Rendus Mécanique, 2018,346(12):1253-1266.
［17］	单卫东,臧朝平,张根辈,等. 基于频响函数识别直升机尾传动轴系非线性的方法［J］. 振动与冲击, 2020,39(14):102-108.
［18］	李志农,李云龙,刁海洋. 基于非线性输出频率响应函数的转子不对中-碰摩耦合故障诊断方法研究［J］. 机械工程学报, 2019,55(19):84-91.
［19］	LIN R M, NG T Y. Applications of higher-order frequency response functions to the detection and damage assessment of general structural systems with breathing cracks［J］. International Journal of Mechanical Sciences, 2018,148:652-666.
［20］	王海玉,王映龙,闵建亮,等. 基于小波变换与多项指标的疲劳驾驶检测应用［J］. 计算机与现代化, 2018(10):32-35.
［21］	梁京章,黄星舒,吴丽娟,等. 基于KPCA和改进K-means的电力负荷曲线聚类方法［J］. 华南理工大学学报(自然科学版), 2020,48(6):143-150.
［22］	王玲,朱慧. 基于KPCA和G-G聚类的多元时间序列模糊分段［J］. 控制与决策, 2021,36(1):115-124.
［23］	DING H W, WAN L. Research on intrusion detection based on KPCA-BP neural network［C］// 2018 IEEE 18th International Conference on Communication Technology. 2018:911-915.

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