Water hammer vibrations in pressurized water distribution system: Conceptual development of dynamic model and validation

Sankaranarayanan, S; Sivakumaran, N.; Radhakrishnan, T. K.; Swaminathan, G.

doi:10.1002/apj.2345

Cited by 3 publications

(1 citation statement)

References 13 publications

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“…Thus, KF is a suitable medium to estimate the missing voids in a time series data. The existing dramatic WH model is considered to be a complex hyperbolic partial differential equation (PDE) (Phuc et al, 2017: 133–142) without valve coefficient, which should be converted to a suitable ordinary differential equation (ODE) with the valve coefficient (Sankaranarayanan et al, 2017: 1–6). The conventional KF is modified based on the arrived model of WH and the WDS.…”

Section: Introductionmentioning

confidence: 99%

An enhanced dynamic soft sensor–based online estimation of missing data for water distribution system with inherent disturbances

Hussain

Sivakumaran

Sankaranarayanan³

et al. 2023

Transactions of the Institute of Measurement and Control

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Interruption of water supply is an unfavourable event in water distribution system (WDS). The interruptions are mainly due to water hammer (WH) transients that are caused by sudden pump/valve failures. In this paper, the effects of hammer are mathematically realized considering the effect of valve coefficient integrated with the system. Due to economic and technical limitations, the system is generally equipped with some obsolete instruments for continuous monitoring, which creates a missing data problem. The problem of missing data estimation could be addressed using a novel customized Kalman filter (CKF), a customized version of conventional Kalman filter (KF) based on process model. Initially, to avoid the intricacies of obtaining the optimal estimates of missing instants, the vacancies in the data are filled assigned by the average values of available adjacent data. The measured quantities are considered distorted with state-, input-dependent and independent uncertainties. The effect of WH on a prototypical WDS is studied for different modes of operation, and the missing data points are reconstructed for regular and irregular sampled data set using the proposed CKF. The performance of the proposed algorithm is also compared with the conventional extended Kalman filter (EKF). The study indicates that the proposed missing data estimation algorithm is highly reliable to identify the missing instances in the states of distribution system.

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Section: Introductionmentioning

confidence: 99%

An enhanced dynamic soft sensor–based online estimation of missing data for water distribution system with inherent disturbances

Hussain

Sivakumaran

Sankaranarayanan³

et al. 2023

Transactions of the Institute of Measurement and Control

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Water Hammer Simulation in Pipeline Using Numerical Models

Samantaray,

Sabat,

Mohanty

et al. 2024

Lecture Notes in Mechanical Engineering

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Flow parameters effect on water hammer stability in hydraulic system by using state-space method

et al. 2022

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The water hammer (WH) phenomenon is one of the most dangerous phenomena in hydraulic systems, especially pipelines, gates, and locks on these lines. There are many analytical solutions to deal with the WH phenomenon, including the treatment of friction losses, but most solutions use linear arithmetic operations, which depart from the actual situation of the WH phenomenon. Also, the methods currently used are most challenging and complex and give imprecise results to treat the mentioned phenomenon. In order to reach a state closer to the situation of losses and stability of the hydraulic system that is close to the actual state, basic partial differential equations were used, taking into account the losses generated in the hydraulic system through mathematical conversion. MATLAB was used to program and solve equations, find mathematical results, draw system diagrams, and simulate a WH wave. Various parameters were investigated to show the stability behavior of the hydraulic system by using state-space Method. So, the effect of the pressure, flow rate, diameter, and fluid type were investigated to calculate the stability of the hydraulic system. The results evaluated showed that the system’s oscillation is less at lower pressure, and the stability period is longer than that at high pressures. In addition, the system needs a longer time to stabilize at the low flow speed due to pressure waves that occur. The stability of the system affected by the WH was examined, and the effect of fluid-specific variables such as velocity, pressure, and type of fluid in addition to the diameter of the pipe and their impact on WH stability was found. The behavior of stability at the WH is nonlinear, and that is why the linear and nonlinear parts of the governing equations of the structure are used to find system through the state-space method through programming and simulation of MATLAB program.

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Water hammer vibrations in pressurized water distribution system: Conceptual development of dynamic model and validation

Cited by 3 publications

References 13 publications

An enhanced dynamic soft sensor–based online estimation of missing data for water distribution system with inherent disturbances

An enhanced dynamic soft sensor–based online estimation of missing data for water distribution system with inherent disturbances

Water Hammer Simulation in Pipeline Using Numerical Models

Flow parameters effect on water hammer stability in hydraulic system by using state-space method

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