Structural Analysis utilizing MSS Sets with Application to a Paper Plant
When designing model-based fault-diagnosis systems, the use of consistency
relations (also called e.g. parity relations) is a common choice. Different
subsets are
sensitive to different subsets of faults, and thereby isolation can be
achieved. This paper
presents an algorithm for finding a small set of submodels that can be
used to derive consistency relations with highest possible diagnosis
capability.
The algorithm handles differential-algebraic models and
is based on graph theoretical reasoning about the structure of the model.
An important step, towards finding these submodels and therefore also
towards
finding consistency relations, is to find all minimal structurally singular
(MSS) sets of
equations. These sets characterize the fault diagnosability. The
algorithm is applied to a large nonlinear industrial
example, a part of a paper plant. In spite of the complexity of this process,
a small set of consistency relations with high diagnosis capability is
successfully derived.
Mattias Krysander and Mattias Nyberg
Proc. of the Thirteenth International Workshop on Principles of Diagnosis,
2002
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