Diagnosis of Fluid Systems utilizing Gröbner Bases and Filtering of Consistency Relations
* Diagnosis of Fluid Systems utilizing Gröbner Bases and
Filtering of Consistency Relations
* Jonas Biteus
* Reg nr: LiTH-ISY-EX-3237
* 23rd October 2001
Abstract
The objective of this master's thesis is to develop a method
for automatic design of diagnostic systems for pulp and paper
industry. General models for fluid systems are presented. The
models simulate slow dynamics based on object-oriented sub-
models. The sub-models are tanks, pipes, control valves,
pumps, mixers and dividers. The diagnostic systems are based
on hypothesis tests and decision structures. The hypothesis
tests are formed as tests with thresholds. The tests are con-
structed as normalized residuals. Consistency relations are
used to construct the residuals. The consistency relations
are extracted from model equations. Through calculations of
Gröbner bases, good decision structures are achieved.
To evaluate the methods, they are applied to a stock pre-
paration and broke treatment system from a paper mill. Three
different simulations including three different faults are
presented. A semi-automatic algorithm, with the ability to
construct diagnostic systems for arbitrary fluid systems, is
presented. The diagnostic system, constructed with the semi-
automatic algorithm, can detect and isolate faults. Arbitrary
slow dynamic faults can be detected and isolated.
Jonas Biteus
2001
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