Fault detection for chemical process based on nonlinear dynamic global-local preserving projections

doi:10.11949/0438-1157.20200417

Abstract

Abstract:

The performance of the traditional nonlinear fault detection method based on kernel mapping is greatly influenced by the type of kernel function and the tuning of kernel parameters. To solve this problem, a method named nonlinear dynamic global-local preserving projections(NDGLPP) is proposed for nonlinear process fault detection. Firstly, dynamic global-local preserving projection algorithm is used to reduce the dimension of data matrix. Since the second order polynomial mapping is established for the reduced dimension matrix to extract the relevant properties of nonlinear space. Then the two steps are iterated to obtain the higher-order nonlinear mapping. Finally, the proposed method is applied to the ethylene distillation process and Tennessee Eastman (TE) process simulation to verify the effectiveness and feasibility of the detection method.

Key words: nonlinear, constructive polynomial mapping, dynamic, global-local preserving projections, fault detection

摘要：

传统基于核映射的非线性故障检测方法的性能受核函数类型和核参数的调优影响较大，且实际工业环境中对过程变量的非线性阶数存在很多物理限制。针对这一问题，提出一种非线性动态全局局部保留投影（nonlinear dynamic global-local preserving projections，NDGLPP）的故障检测算法。该方法首先使用动态全局局部保留投影算法对数据矩阵进行降维；然后对降维后的矩阵建立二阶多项式映射提取非线性空间的相关特性；接着通过迭代这两个步骤以获得高阶非线性映射；最后，将所提方法应用于乙烯精馏过程和Tennessee Eastman（TE）过程仿真中，验证了检测方法的有效性和可行性。

关键词: 非线性, 构造多项式映射, 动态, 全局局部保留投影, 故障检测

CLC Number:

TQ 277

XU Jing,WANG Zhenlei,WANG Xin. Fault detection for chemical process based on nonlinear dynamic global-local preserving projections[J]. CIESC Journal, 2020, 71(12): 5655-5663.

徐静,王振雷,王昕. 基于非线性动态全局局部保留投影算法的化工过程故障检测[J]. 化工学报, 2020, 71(12): 5655-5663.

Figures/Tables 7

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Item	GLPP		NDPCA		NDGLPP
Item	T²	SPE	T²	SPE	T²	SPE
FDR	0.8713	1	0.9483	0.9759	0.9966	1
FAR	0	0.0218	0.0218	0.0218	0.0175	0.0218

Item	GLPP		NDPCA		NDGLPP
Item	T²	SPE	T²	SPE	T²	SPE
FDR	0.8713	1	0.9483	0.9759	0.9966	1
FAR	0	0.0218	0.0218	0.0218	0.0175	0.0218

Fault	GLPP		DPCA		DKPCA		NDPCA		NDGLPP
Fault	T²	SPE	T²	SPE	T²	SPE	T²	SPE	T²	SPE
1	99.75	99.13	99.37	99.87	99.52	99.75	99.50	99.50	99.12	100
2	98.63	97.63	98.75	97.12	98.62	97.37	98.12	98.50	97.62	97.50
3	3.25	2.00	9.65	4.76	9.39	4.63	2.38	3.26	10.14	0.63
4	2.00	4.00	3.88	1.25	3.75	1.25	13.77	12.28	21.03	15.39
5	26.38	25.63	27.07	8.27	27.03	17.40	35.71	38.47	39.92	34.04
6	100	100	100	99.75	100	99.75	100	100	99.37	100
7	47.50	46.38	45.43	21.15	45.56	25.91	49.69	53.57	40.43	53.19
8	98.13	94.13	97.75	88.11	97.75	95.74	97.75	98.25	90.49	96.25
9	0.63	0.50	1.75	1.38	1.88	1.38	1.25	2.38	0.5	2.88
10	88.88	34.88	50.44	39.05	50.31	41.05	56.80	58.32	80.10	75.84
11	46.88	24.75	19.40	53.07	18.52	53.44	23.78	29.66	16.52	16.90
12	99.25	95.00	99.12	91.99	99.12	96.25	97.37	97.87	92.62	94.24
13	95.88	92.75	94.24	94.49	94.24	94.87	94.49	94.74	96.75	95.87
14	100	95.00	97.25	100	97.12	100	90.74	91.99	12.52	99.87
15	9.88	11.75	12.77	1.88	12.52	1.88	29.79	28.16	31.04	33.92

Fault	GLPP		DPCA		DKPCA		NDPCA		NDGLPP
Fault	T²	SPE	T²	SPE	T²	SPE	T²	SPE	T²	SPE
1	99.75	99.13	99.37	99.87	99.52	99.75	99.50	99.50	99.12	100
2	98.63	97.63	98.75	97.12	98.62	97.37	98.12	98.50	97.62	97.50
3	3.25	2.00	9.65	4.76	9.39	4.63	2.38	3.26	10.14	0.63
4	2.00	4.00	3.88	1.25	3.75	1.25	13.77	12.28	21.03	15.39
5	26.38	25.63	27.07	8.27	27.03	17.40	35.71	38.47	39.92	34.04
6	100	100	100	99.75	100	99.75	100	100	99.37	100
7	47.50	46.38	45.43	21.15	45.56	25.91	49.69	53.57	40.43	53.19
8	98.13	94.13	97.75	88.11	97.75	95.74	97.75	98.25	90.49	96.25
9	0.63	0.50	1.75	1.38	1.88	1.38	1.25	2.38	0.5	2.88
10	88.88	34.88	50.44	39.05	50.31	41.05	56.80	58.32	80.10	75.84
11	46.88	24.75	19.40	53.07	18.52	53.44	23.78	29.66	16.52	16.90
12	99.25	95.00	99.12	91.99	99.12	96.25	97.37	97.87	92.62	94.24
13	95.88	92.75	94.24	94.49	94.24	94.87	94.49	94.74	96.75	95.87
14	100	95.00	97.25	100	97.12	100	90.74	91.99	12.52	99.87
15	9.88	11.75	12.77	1.88	12.52	1.88	29.79	28.16	31.04	33.92

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