Data-driven Detection and Diagnosis of Faults in Traction Systems of High-speed Trains by Hongtian Chen & Bin Jiang & Ningyun Lu & Wen Chen

Author:Hongtian Chen & Bin Jiang & Ningyun Lu & Wen Chen
Language: eng
Format: epub
ISBN: 9783030462635
Publisher: Springer International Publishing

4.2.2 Multi-mode PCA-based FD

4.2.2.1 Multi-mode PCA Modeling

There are seven signals collected from platform 3 in Fig. 2.​5, and these measurements can be expressed as , where stand for , respectively. As analyzed in last subsection, X is a complete data set containing six modes. For each mode, the local data set can be denoted as , where ; and is the number of samples in every mode with . It is important to determine the operating modes both for off-line modeling and online implementation. Different from the methods in [22, 23], the zero crossing method is adopted in this chapter. Neglecting the time labels for X and , the relationship between them can be depicted as

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