Theoretical model of energy performance prediction and BEP determination for centrifugal pump as turbine

Liu, Ming; Tan, Lei; Cao, Shuai

doi:10.1016/j.energy.2019.01.162

Cited by 171 publications

(59 citation statements)

References 57 publications

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“…With the increase of rotational speed, a decrease in efficiency can be observed, which results from the linear increase in shear stress along with the increase of fluid velocity. In contrast, in the case of centrifugal pumps the hydraulic efficiency decreases with rotational speed [34][35][36]. For the inclination angle β ≈ 20 • , the efficiencies are comparable to those of the Archimedean screw [3,4].…”

Section: Efficiency and Torquementioning

confidence: 99%

Hydraulic Capacity and Efficiency of a Low-Speed Nonpressurized Coil Pump

Matz

Błażejewski

Nawrot

et al. 2019

Water

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The paper presents the results of an investigation on hydraulics of a low-speed coil pump for transport of liquids. One of the pump's advantages is its wide range of potential inclination angles for its rotating shaft, from the horizontal to an almost vertical position. A simplified hydraulic model was developed based on kinematic and geometrical considerations to determine the pump capacity. The model was verified under laboratory conditions using a low-speed coil pump composed of transparent PVC tube (15 mm outer diameter) wound around a cylindrical drum (104 mm external diameter; 550 mm long). Laboratory tests were performed for three angles of inclination of the axis of rotation (20 • , 40 • , and 60 • ) and four rotational speeds (10, 20, 30, and 40 rpm). The results of the tests showed satisfactory agreement with the hydraulic model predictions. Energetic efficiency was estimated on the base of electric power measurements and difference of water levels in the two arms of rotating transparent torus, partly filled with water. The hydraulic efficiency of the coil pump is increasing with decreasing rotational speed.

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Section: Efficiency and Torquementioning

confidence: 99%

Hydraulic Capacity and Efficiency of a Low-Speed Nonpressurized Coil Pump

Matz

Błażejewski

Nawrot

et al. 2019

Water

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“…Han et al [10] used ANSYS CFX to investigate the complicated structure of tip leakage vortex in an evolution period for a mixed flow pump as turbine at pump mode, obtained its dynamic and kinematic characteristics. Liu et al [11] established the theoretical model of energy performance prediction for centrifugal pump as turbine under pump and turbine modes based on detailed analysis of losses and proposed a flowrate-based iteration method to determine the best efficiency point under turbine mode.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Model of the Hydrodynamic Pressure Acting on a Turbine Runner Blade under the Rotor-Stator Interaction Based on the Quasi-Three-Dimensional Finite Element Method

Wang

et al. 2021

Mathematical Problems in Engineering

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In this paper, a turbine runner blade under hydraulic excitation was taken as the object of study and the mathematical hydrodynamic pressure model of a turbine runner blade under the rotor-stator interaction was established using quasi-three-dimensional finite element model. The regularity of the distribution of the hydrodynamic pressure was then investigated. First, the quasi-three-dimensional finite element model of a runner blade was established using the quasi-three-dimensional theory. Next, according to the pressure distribution from the numerical simulation, the mathematical mean pressure model of a node was established using the relative pressure difference method; the pressure fluctuation was then established taking the rotor-stator interaction into consideration. Then, based on the mean pressure and the pressure fluctuation of a node, the mathematical hydrodynamic pressure model for any position of a runner blade was obtained. Finally, the feasibility of the mathematical model was verified by an example analysis, and the internal relationship between the hydrodynamic pressure and its hydraulic parameters and the structural parameters of the blade was revealed, which provides a theoretical basis for further study of the dynamic characteristics of turbine runner blades under the rotor-stator interaction.

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“…However, through research results and production practice at home and abroad, it is found that the flow rate, head and power at the best efficiency point of a pump operating under turbine conditions are all greater than their values under pump conditions. [7][8][9][10][11][12] Therefore, the structural stress of PAT in the vicinity of the optimal operating conditions and in the operation of large flow conditions must also be considered as a key factor. In order to ensure the efficient and safe operation of PAT blade, the design and optimization of the blade must take into account both its hydraulic performance and structural performance.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of blade in pump as turbine based on multidisciplinary feasible method

Miao

Hong-Biao

Wang³

et al. 2020

Science Progress

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In order to make the pump as turbine (PAT) run efficiently and safely, a multidisciplinary optimization design method for PAT blade, which gives consideration to both the hydraulic and intensity performances, is proposed based on multidisciplinary feasibility (MDF) optimization strategy. This method includes blade parametric design, Latin Hypercube Sampling (LHS) experimental design, CFD technology, FEA technology, GA-BP neural network and NSGA-II algorithm. Specifically, a parameterized PAT blade with cubic non-uniform B-spline curve is adopted, and the control point of blade geometry is taken as the design variable. The LHS experimental design method obtains the sample points of training GA-BP neural network in the design space of variables. The hydraulic performance of each sample point (including the hydraulic pressure load on the blade surface) and the strength performance analysis of blades are completed by CFD and FEA technology respectively. In order to save calculation time of the whole optimization design, the multi-disciplinary performance analysis of each sample in the optimization process is completed by single-coupling method. Then, GA-BP neural network is trained. Finally, the multi-disciplinary optimization design problem of PAT blade is solved by the optimization technology combining GA-BP neural network and NSGA-II algorithm. Based on this optimization method, the PAT blade is optimized and improved. The efficiency of the optimized PAT is improved by 1.71% and the maximum static stress on the blade is reduced by 7.98%, which shows that this method is feasible.

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Theoretical model of energy performance prediction and BEP determination for centrifugal pump as turbine

Cited by 171 publications

References 57 publications

Hydraulic Capacity and Efficiency of a Low-Speed Nonpressurized Coil Pump

Hydraulic Capacity and Efficiency of a Low-Speed Nonpressurized Coil Pump

A Mathematical Model of the Hydrodynamic Pressure Acting on a Turbine Runner Blade under the Rotor-Stator Interaction Based on the Quasi-Three-Dimensional Finite Element Method

Optimal design of blade in pump as turbine based on multidisciplinary feasible method

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