Improved energy graph-based visualisation fault detection and isolation — A spectral theorem approach

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Date
2023Author
Wolmarans, Wikus
Van Schoor, George
Uren, Kenneth R.
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This paper illustrates how the energy graph-based visualisation (EGBV) fault detection and isolation (FDI)
method may be interpreted in terms of the spectral theorem to gain insight into the sensitivity and robustness
performance of the method. It is shown that the EGBV monitoring structure can be decomposed into
components of varying importance. A formula is proposed as a guideline for informed component removal.
These principles are applied to a practical heated two-tank process. It is shown that lesser-weighted components
exhibit noisy behaviour and, when removed, increase the robustness of EGBV. Additionally, the computational
requirements for the EGBV method and its fault signatures are reduced. It is also shown that retaining smaller
components provides the benefit of improved sensitivity. Therefore, a trade-off exists between sensitive and
robust process monitoring. Furthermore, it is acknowledged that component removal may compromise the
resolution of EGBV’s fault signatures and so, a formula is derived to verify its resolution integrity.
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- Faculty of Engineering [1136]