耦合双层参数更新的改进PCE模型在燃油离心泵不确定性分析中的应用

doi:10.7527/S1000-6893.2024.30126

Abstract

Abstract:

Blade manufacturing and extreme operating conditions in aircraft engines introduce uncertainty factors that significantly impact the performance and flow field variability of fuel centrifugal pumps. This paper proposes a synchronized analysis method based on CFD mechanistic models and surrogate models. Firstly， based on the Karhuben-Loève （KL） transform theory， uncertainty modeling of three-dimensional blade profile errors in the centrifugal pump was conducted. Secondly， nesting the Least Angle Regression （LAR） algorithm， we applied a double-layer parameter update to the Polynomial Chaos Expansion （PCE） model， constructing a high-precision surrogate model. Finally， employing a specific type of fuel centrifugal pump as the research object， we accomplished uncertainty analysis of the centrifugal pump based on CFD simulations， experimental verification， and the PCE surrogate model. The research demonstrates that the KL transform efficiently describes uncertainty in the three-dimensional blade profile error using only 9 input parameters. The improved PCE model with coupled double-layer parameter updating exhibits an average increase of 27.6% in accuracy metrics across multiple centrifugal pump conditions compared to the unimproved model. Controlling the blade profile error within -0.3 to 0.3 mm at the hub significantly reduces uncertainty in centrifugal pump performance. The blade profile errors at the hub have a greater impact on flow field uncertainty than those at the shroud and midsection， while speed is a crucial operational parameter affecting uncertainty in the fuel pump flow field.

Key words: aircraft engines, fuel centrifugal pump, KL transform, improved PCE model with coupled double-layer parameter updating, performance uncertainty, flow field uncertainty

CLC Number:

V233.91

Jiangfeng FU, Shijie ZHONG, Xianwei LIU, Pengfei WEI, Hanting HUANG. Improved PCE model with coupled double-layer parameter updating for uncertainty analysis in fuel centrifugal pump[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(21): 130126.

Figures/Tables 26

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Table 1

Correspondence between orthogonal polynomial basis and probability distributions

分布类型	概率密度函数	正交多项式	权函数	变量范围
正态	$1 2 π e - x 2 / 2$	Hermite H_n （x）	$e - x 2 / 2$	（-∞，+∞）
均匀	$12$	Legendre P_n （x）	1	（-1，1）
Beta	$(1 - x) α (1 + x) β 2 α + β + 1 B (α + 1, β + 1) e - x$	Jacobi $P n (α, β)$ （x）	（1-x） ^α （1+x） ^β	（-1，1）
指数	e^-^x	Laguerre L_n （x）	e^-^x	（0，+∞）
Gamma	$x α e - x Γ (α + 1)$	广义Laguerre $L n (α, β)$ （x）	x^α e ^-x	（0，+∞）

Table 1

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Table 2

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Table 3

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Table 4

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变量	数值	变量	数值
进口直径 D₁/mm	32	转速 n/（r·min^-1）	7 600
出口直径 D₂/mm	60	流量系数ϕ	0.082 6
叶片数	8	扬程系数 ψ	1.128

方案	体网格	节点数量	方案	体网格	节点数量
1	1.56×10⁶	1.62×10⁶	3	2.94×10⁶	3.05×10⁶
2	2.28×10⁶	2.37×10⁶	4	3.65×10⁶	3.79×10⁶

轮廓度偏差	-0.6 ~ 0.6 mm			-0.5 ~ 0.5 mm			-0.4 ~ 0.4 mm
工况条件ϕ	0.062 0	0.082 6	0.103 3	0.062 0	0.082 6	0.103 3	0.062 0	0.082 6	0.103 3
ψ均值	1.13	1.13	1.06	1.13	1.13	1.06	1.13	1.13	1.06
ψ标准差	0.010 7	0.009 0	0.034 3	0.007 5	0.006 3	0.019 3	0.006 4	0.005 4	0.015 4
η均值	42.4	53.8	48.2	42.4	53.8	47.8	42.4	53.8	47.8
η标准差	0.236 5	0.379 5	0.929 9	0.141 9	0.214 7	0.557 9	0.094 6	0.143 2	0.371 9
轮廓度偏差	-0.3 ~ 0.3 mm			-0.2 ~ 0.2 mm			-0.1 ~ 0.1 mm
工况条件ϕ	0.062 0	0.082 6	0.103 3	0.062 0	0.082 6	0.103 3	0.062 0	0.082 6	0.103 3
ψ均值	1.13	1.13	1.06	1.13	1.13	1.06	1.13	1.13	1.06
ψ标准差	0.005 3	0.004 5	0.010 7	0.005 1	0.004 3	0.010 5	0.004 9	0.004 2	0.009 9
η均值	43.4	54.8	47.8	42.4	53.8	48.2	41.8	53.8	48.1
η标准差	0.080 4	0.121 7	0.316 2	0.075 7	0.114 5	0.297 6	0.071 0	0.107 4	0.279 0

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Improved PCE model with coupled double-layer parameter updating for uncertainty analysis in fuel centrifugal pump

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