Title
Application of Mathematical Models to Estimate the Water Level Stability in a Two-Tank System in Series with Service Demand Variations
Date Issued
01 January 2021
Access level
metadata only access
Resource Type
conference paper
Author(s)
Publisher(s)
Springer Science and Business Media Deutschland GmbH
Abstract
In this research work, a two-tank system in series was developed. In this system, water flows from the first tank to the second. Opening variations were present in the inlet valve, while the opening flow was fixed in the outlet valve. Using differential equations, the Jacobian matrix and eigenvalues, it was possible to analyze the stability of the system and obtain the equilibrium points. To estimate the adequate water levels, a linear and nonlinear model were implemented. Both models were able to estimate in real time the tanks water levels, identifying the system equilibrium points, this ensured the service demand. A simulation process was applied to evaluate the model’s behavior over time. This simulation was performed using the Simulink tool of Matlab. Both linear and nonlinear models obtained similar results. Results analysis suggested the use of the linear model to implement the control system, since its transfer functions compositions are less complex and more efficient to deploy.
Start page
479
End page
492
Volume
12949 LNCS
Language
English
OCDE Knowledge area
Sistemas de automatización, Sistemas de control
Scopus EID
2-s2.0-85115398343
Source
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Resource of which it is part
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN of the container
03029743
ISBN of the container
9783030866525
Sources of information: Directorio de Producción Científica Scopus