Leak Detection and Location in Oil Transmission Lines by Closed Form Solution and Linear Observer

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Derakhshan, Masoud | 2017

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 50267 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Haeri, Mohammad
Abstract:
In this paper, an approach is proposed to estimate the location of the leaks in oil pipelines. The pipeline possesses a system of Partial Differential Equations (PDE). First, a closed-form solution is applied to the pipeline equations and the leakage location is found solving the steady-state equations. To tackle the case where the pressure and flowrate do not reach constant values, the initial estimations are provided by the closed-form solution. Then, the pressures, flow rates, and leakage coefficient are estimated by solving the system of differential equations. This system is then discretized with respect to the location variable to yield the system state equations which, in turn, are linearized at the initial estimation of the leakage. A more accurate estimation can be achieved by designing a linear observer and employing the inlet error signal as a sine wave and random signal with limited power. The proposed method is validated by some case studies and its accuracy is compared to other methods employed in the literature
Keywords:
Partial Differential Equations ; Extended Kalman Filter ; Leakage Fault Detection ; Leakage Location Diagnosis ; Nonlinears Systems Observibility ; Linear Observer

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