Effects of Sampling on Stability and Performance of Electronically Controlled Pressure-Reducing Valves
Publication: Journal of Water Resources Planning and Management
Volume 147, Issue 3
Abstract
This paper explains and demonstrates how increasing a sampling period in pressure control may worsen a system’s performance and lead to instability. The notion of stability of continuous-time and discrete-time systems is briefly introduced and applied to a simple closed-loop inertial system. It is then demonstrated how the stability of dynamic systems depends on a sampling period as well as on gain. Subsequently, the analysis is applied to a model of an electronically controlled pressure-reducing valve (PRV) coupled with a transient model of a water distribution network (WDN). The occurrence of instabilities at overly long sampling periods is demonstrated. Practical recommendations on the appropriate choice of sampling times are put forth based on simulation results and control engineering rules of thumb given the closed-loop system’s dynamics. Performance of a theoretical pressure control scheme is then simulated under time-varying demands and with controllers designed to work at different sampling frequencies.
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Data Availability Statement
The following data, models, or code generated or used during the study are available from the corresponding author by request:
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simple first-order sampled system in Simulink used to demonstrate the mechanisms of instabilities in feedback systems,
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PRV/WDN system in Simulink used for model identification and final simulation under time-varying demand,
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family of identified transfer functions used for controller design, and
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code for generation of demand patterns as stochastic series of pulses.
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Published In
Journal of Water Resources Planning and Management
Volume 147 • Issue 3 • March 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Nov 19, 2019
Accepted: Sep 9, 2020
Published online: Jan 13, 2021
Published in print: Mar 1, 2021
Discussion open until: Jun 13, 2021
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