Liénard type model of fluid flow in pipelines: Application to estimation

Torres, Lizeth; Besançon, Gildas; Verde, Cristina

doi:10.1109/iceee.2015.7357947

“…Our strategy was intended to be utilized to complement the monitoring made with another sort of techniques, and not to supplant or contend with leak detection strategies using pressure sensors, for example, the negative pressure wave techniques [21], the wave reflection strategies, the pressure point analysis strategies [22] or the gradient strategies [23], [24]. The proposed approach is based on the so-called flow-based Liénard form [25], [26]. The finite difference method is used to obtain a lumped parameter version of this Liénard type model, which is implemented in MATLAB® by considering as boundary conditions the inlet and outlet flow rates of the monitored pipeline.…”

Section: Introductionmentioning

confidence: 99%

Development of a Tool for Control Loop Performance Assessment

Jiménez-Cabas

¹

,

Manrique-Morelos

²

,

Meléndez-Pertuz

³

et al. 2020

Computational Science and Its Applications – ICCSA 2020

1

0

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This paper presents a novel non-invasive monitoring method, based on a Liénard-type model (LTM) to diagnose single and sequential leaks in liquid pipelines. The LTM describes the fluid behavior in a pipeline and is given only in terms of the flow rate. Our method was conceived to be applied in pipelines mono-instrumented with flowmeters or in conjunction with pressure sensors that are temporarily unavailable. The approach conception starts with the discretization of the LTM spatial domain into a prescribed number of sections. Such discretization is performed to obtain a lumped model capable of providing a solution (an internal flow rate) for every section. From this lumped model, a set of algebraic equations (known as residuals) are deduced as the difference between the internal discrete flows and the nominal flow (the mean of the flow rate calculated before the leak). Once the residuals are calculated a principal component analysis (PCA) is carried out to detect a leak occurrence. In the presence of a leak, the residual closest to zero will indicate the section where a leak is occurring. Some simulation-based tests in PipelineStudio® and experimental tests in a lab-pipeline illustrating the suitability of our method are shown at the end of this article.

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“…Our strategy was intended to be utilized to complement the monitoring made with another sort of techniques, and not to supplant or contend with leak detection strategies using pressure sensors, for example, the negative pressure wave techniques [21], the wave reflection strategies, the pressure point analysis strategies [22] or the gradient strategies [23], [24]. The proposed approach is based on the so-called flow-based Liénard form [25], [26]. The finite difference method is used to obtain a lumped parameter version of this Liénard type model, which is implemented in MATLAB® by considering as boundary conditions the inlet and outlet flow rates of the monitored pipeline.…”

Section: Introductionmentioning

confidence: 99%

Control Performance Management in Industrial Automation

Jelali

¹

2013

Advances in Industrial Control

View full text Add to dashboard Cite

This paper presents a novel non-invasive monitoring method, based on a Liénard-type model (LTM) to diagnose single and sequential leaks in liquid pipelines. The LTM describes the fluid behavior in a pipeline and is given only in terms of the flow rate. Our method was conceived to be applied in pipelines mono-instrumented with flowmeters or in conjunction with pressure sensors that are temporarily unavailable. The approach conception starts with the discretization of the LTM spatial domain into a prescribed number of sections. Such discretization is performed to obtain a lumped model capable of providing a solution (an internal flow rate) for every section. From this lumped model, a set of algebraic equations (known as residuals) are deduced as the difference between the internal discrete flows and the nominal flow (the mean of the flow rate calculated before the leak). Once the residuals are calculated a principal component analysis (PCA) is carried out to detect a leak occurrence. In the presence of a leak, the residual closest to zero will indicate the section where a leak is occurring. Some simulation-based tests in PipelineStudio® and experimental tests in a lab-pipeline illustrating the suitability of our method are shown at the end of this article.

show abstract