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Technical Briefs

Multiobjective Optimization Design of a Pump–Turbine Impeller Based on an Inverse Design Using a Combination Optimization Strategy

[+] Author and Article Information
Wei Yang

e-mail: wyang@cau.edu.cn

Ruofu Xiao

e-mail: xrf@cau.edu.cn

College of Water Resources and Civil Engineering,
China Agricultural University,
Beijing 100083, China

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 13, 2013; final manuscript received September 3, 2013; published online October 15, 2013. Assoc. Editor: Frank C. Visser.

J. Fluids Eng 136(1), 014501 (Oct 15, 2013) (9 pages) Paper No: FE-13-1312; doi: 10.1115/1.4025454 History: Received May 13, 2013; Revised September 01, 2013

This paper presents an automatic multiobjective hydrodynamic optimization strategy for pump–turbine impellers. In the strategy, the blade shape is parameterized based on the blade loading distribution using an inverse design method. An efficient response surface model relating the design parameters and the objective functions is obtained. Then, a multiobjective evolutionary algorithm is applied to the response surface functions to find a Pareto front for the final trade-off selection. The optimization strategy was used to redesign a scaled pump–turbine. Model tests were conducted to validate the final design and confirm the validity of the design strategy.

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References

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Figures

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Fig. 1

Pump–turbine design process

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Fig. 2

Sketch of the impeller meridional channel shape

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Fig. 3

Typical blade loading parameterization

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Fig. 4

Definition of lean angle γ

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Fig. 5

Pump–turbine optimization work flow chart

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Fig. 6

Single impeller passage model for CFD calculations

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Fig. 7

Whole machine passage model for CFD calculations

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Fig. 8

Pareto front for the optimization results

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Fig. 9

Comparison of blade loading distributions for the baseline and optimized designs

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Fig. 10

Pump hydraulic efficiency simulation results for the baseline and optimized designs

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Fig. 11

Turbine hydraulic efficiency simulation results at the design head Hd for the baseline and optimized designs

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Fig. 12

3D velocity streamlines in the blade passage for the pump mode at the design point

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Fig. 13

Velocity vectors at the 50% spanwise view for pump mode at the design point

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Fig. 14

Three-dimensional velocity streamlines in the blade passage for turbine mode at the design point

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Fig. 15

Velocity vectors at the 50% spanwise view for turbine mode at the design point

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Fig. 16

Model test rig for pump–turbine

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Fig. 17

Measured Q-H and Q-η curves of the pump mode for the baseline and optimized designs

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Fig. 18

Measured Q-η curves of the turbine mode for the baseline and optimized designs at the design head Hd

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Fig. 19

Measured Q-η curves of the turbine mode for the baseline and optimized designs at the rated head Hr

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