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CLC number: TH313

On-line Access: 2019-11-08

Received: 2019-04-18

Revision Accepted: 2019-10-21

Crosschecked: 2019-10-28

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Citations:  Bibtex RefMan EndNote GB/T7714


Jia-ming Wang


Peng-fei Wang


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Journal of Zhejiang University SCIENCE A 2019 Vol.20 No.11 P.852-863


An adjoint-based optimization method for reducing the axial force of a reactor coolant pump

Author(s):  Jia-ming Wang, Peng-fei Wang, Xu Zhang, Xiao-dong Ruan, Xin Fu

Affiliation(s):  State Key Laboratory of Fluid Power & Mechatronic Systems, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   wangpf@zucc.edu.cn

Key Words:  Reactor coolant pump (RCP), Adjoint method, Radial basis function (RBF), Axial force, Shape optimization

Jia-ming Wang, Peng-fei Wang, Xu Zhang, Xiao-dong Ruan, Xin Fu. An adjoint-based optimization method for reducing the axial force of a reactor coolant pump[J]. Journal of Zhejiang University Science A, 2019, 20(11): 852-863.

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journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T An adjoint-based optimization method for reducing the axial force of a reactor coolant pump
%A Jia-ming Wang
%A Peng-fei Wang
%A Xu Zhang
%A Xiao-dong Ruan
%A Xin Fu
%J Journal of Zhejiang University SCIENCE A
%V 20
%N 11
%P 852-863
%@ 1673-565X
%D 2019
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1900156

T1 - An adjoint-based optimization method for reducing the axial force of a reactor coolant pump
A1 - Jia-ming Wang
A1 - Peng-fei Wang
A1 - Xu Zhang
A1 - Xiao-dong Ruan
A1 - Xin Fu
J0 - Journal of Zhejiang University Science A
VL - 20
IS - 11
SP - 852
EP - 863
%@ 1673-565X
Y1 - 2019
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1900156

To alleviate the wear of a thrust bearing in a reactor coolant pump (RCP) while ensuring the hydraulic performance of the pump, an adjoint-based optimization method is proposed in this study. This method reduces the axial force of the RCP impeller and synchronously improves the impeller’s hydraulic efficiency. By combining the adjoint solution with the radial basis function (RBF)-based mesh deformation, the optimization proceeds along the gradient direction, which greatly reduces the time and cost of the calculation. In the adjoint method, the adjoint equations in the rotating coordinate system are established, a joint objective function of the head constraint, hydraulic efficiency, and axial force is expressed, and then the blade surface sensitivity to the joint objective function is determined. In the RBF mesh deformation, the control points on the blade strand are evenly spaced, which ensures the smoothness of the deformed 3D twisted blade. Using the proposed optimization method, the hydraulic axial force of the impeller is reduced by approximately 3.8%, while the hydraulic efficiency of a scaled RCP impeller is increased by approximately 3.2%, and the head remains at an almost constant value. The obtained results validate the feasibility of the adjoint method for optimizing the design of centrifugal pumps.

This paper researches the blade shape optimization of pump for efficiency, axial force and head performances. The adjoint method is used to calculate the sensitivity.


创新点:1. 提出一种同步改进多个目标性能的叶轮形状优化方法; 2. 将伴随求解和径向基函数网格变形相结合以实现核主泵叶轮三维曲面优化.
方法:1. 通过理论分析,建立基于径向基函数网格变形的伴随优化方法,并在开源平台编写迭代程序; 2. 通过公式推导,构建扬程、效率和轴向力对应的目标函数(公式(19)~(21)),并运用正交实验确定各个目标函数的参数因子; 3. 通过迭代计算,在保证扬程不变的条件下实现轴向力和效率的同步优化,确定影响该综合性能的关键区域(图8),并获得叶轮的改进设计方案; 4. 通过流场分析,对比改进前后流场内部的压力和流速分布情况(图9和10),并验证改进方案的可行性和有效性.
结论:1. 与传统的随机算法相比,该优化方法直接沿梯度方向进行迭代优化,可以避免使用大量样本数据来寻找优化路径; 2. 该优化方法将伴随求解和径向基函数网格变形相结合,实现了流场计算和结构变形的自动化,可以保证流场网格光滑高效地更迭; 3. 叶轮靠近出口边的下半部分是同步优化核主泵轴向力和效率的关键区域.


Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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