Numerical simulation and optimization on valve-induced water hammer characteristics for parallel pump feedwater system

Tian, Wenxi; Su, G.H.; Gao-peng, Wang; Qiu, Suizheng; Xiao, Zhenggang

doi:10.1016/j.anucene.2008.08.012

Cited by 54 publications

(24 citation statements)

References 7 publications

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“…First, let x r (·|σ) and x r 2N +1 (·|σ) denote the solution of the enlarged system defined by (19), (23), and (12) corresponding to the control parameter vector σ = σ 1 · · · σ r . Then we have the following result.…”

Section: Solving Problem P R Nmentioning

confidence: 99%

“…Axworthy [22] developed a valve closure algorithm for nodebased, graph-theoretic models that can be applied within a slow transient (rigid water column) pipeline network. Tian [23] investigated the optimum design of parallel pump feedwater systems in nuclear power plants to mitigate the potential damage caused by valve-induced water hammer. Feng [24] proposed an optimal control method for the regulation of multiple valves, focusing on the active causes of water hammer.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimal boundary control for water hammer suppression in fluid transmission pipelines

Chen

Ren

et al. 2015

Computers & Mathematics with Applications

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When fluid flow in a pipeline is suddenly halted, a pressure surge or wave is created within the pipeline. This phenomenon, called water hammer, can cause major damage to pipelines, including pipeline ruptures. In this paper, we model the problem of mitigating water hammer during valve closure by an optimal boundary control problem involving a nonlinear hyperbolic PDE system that describes the fluid flow along the pipeline. The control variable in this system represents the valve boundary actuation implemented at the pipeline terminus. To solve the boundary control problem, we first use the method of lines to obtain a finite-dimensional ODE model based on the original PDE system. Then, for the boundary control design, we apply the control parameterization method to obtain an approximate optimal parameter selection problem that can be solved using nonlinear optimization techniques such as Sequential Quadratic Programming (SQP). We conclude the paper with simulation results demonstrating the capability of optimal boundary control to significantly reduce flow fluctuation.

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Section: Solving Problem P R Nmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Optimal boundary control for water hammer suppression in fluid transmission pipelines

Chen

Ren

et al. 2015

Computers & Mathematics with Applications

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“…The pressure wave caused by water hammer is the main reason for pipeline noise and vibration. Mitigation strategies for water hammer are numerous and here we refer to just a few, such as those for oil pipelines (Xu, Dong, Ren, Jiang, & Yu, 2015), air compressor pipelines (Lee & Ngoh, 2002), spacecraft propulsion systems (Lecourt & Steelant, 2007), heat exchange systems in nuclear reactors (Erath, Nowotny, & Maetz, 1999;Tian, Su, Wang, Qiu, & Xiao, 2008) and even cardiovascular flow in human blood vessels (Pedley, 1980). This paper models water hammer mitigation by an optimal boundary control problem governed by hyperbolic PDEs (Chen, Ren, Xu, & Loxton, 2015).…”

Section: Introductionmentioning

confidence: 99%

Water hammer mitigation via PDE-constrained optimization

Chen

Lin

et al. 2015

Control Engineering Practice

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a b s t r a c tThis paper considers an optimal boundary control problem for fluid pipelines with terminal valve control. The goal is to minimize pressure fluctuation during valve closure, thus mitigating water hammer effects. We model the fluid flow by two coupled hyperbolic PDEs with given initial conditions and a boundary control governing valve actuation. To solve the optimal boundary control problem, we apply the control parameterization method to approximate the time-varying boundary control by a linear combination of basis functions, each of which depends on a set of decision parameters. Then, by using variational principles, we derive formulas for the gradient of the objective function (which measures pressure fluctuation) with respect to the decision parameters. Based on the gradient formulas obtained, we propose a gradient-based optimization method for solving the optimal boundary control problem. Numerical results demonstrate the capability of optimal boundary control to significantly reduce pressure fluctuation.

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“…Especially the method of characteristic (MOC), as an FDM, is nowadays the most popular method. It is widely used to simulate the water hammers in various engineering practices, such as valve closing [14][15][16][17][18], and pump failure [19]. Not only that, it has also been applied to special system and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Simulation of Water Hammer in Gravitational Pipe Flow with Continuous Air Entrainment

Zhang

Wan

Shi

2018

Water

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Water hammer is an undesired hydraulic shock phenomenon in water supply pipe systems. It is very important to simulate water hammer for preventing the hazard of over pressure. In order to predict the transient pressure caused by a valve closing in a gravitational pipe with continuous air entrainment, a numerical model based on the Lax-Wendroff format is established, and the matched boundary model is provided. Compared with the traditional methods, this study provides another access by considering the influence of the pipe flow velocity on the wave propagation to simulate transient processes. A corresponding experiment is conducted to optimize the numerical model. Based on the experimental result, an additional friction function is proposed to evaluate the influence of the air content on the attenuation. The result shows that the energy dissipation of the shock waves may be underestimated in air-water mixture flow using the common steady friction. By introducing the additional friction function, the improved model can more accurately simulate the attenuation of the water hammer in the gravitational pipe with continuous air entrainment. As there are plenty of practical water supply systems running with air content, the improved Lax-Wendroff Method (LWM) is valued in accurately predicting water hammer processes especially in those conditions.

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Numerical simulation and optimization on valve-induced water hammer characteristics for parallel pump feedwater system

Cited by 54 publications

References 7 publications

Optimal boundary control for water hammer suppression in fluid transmission pipelines

Optimal boundary control for water hammer suppression in fluid transmission pipelines

Water hammer mitigation via PDE-constrained optimization

Experimental and Numerical Simulation of Water Hammer in Gravitational Pipe Flow with Continuous Air Entrainment

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