Research on gas path fault diagnosis method of intercooled recuperated turbofan engine based on nonlinear model
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摘要:
间冷回热涡扇发动机相对普通三轴涡扇发动机的健康参数更多,导致故障诊断计算量变大。为提高间冷回热涡扇发动机多部件退化下气路故障诊断速度,开发了一种适用于间冷回热涡扇发动机的快速气路故障诊断方法。该方法在传统嵌套迭代诊断架构的基础上设计了一种非嵌套迭代架构,考虑了包括6个旋转部件以及2个换热器部件的退化情况,通过分割部件使发动机部件匹配和故障诊断可以在同一个牛顿-拉夫逊迭代算法中完成,并开展了传感器选择优化以提升测量参数对于不同部件退化的辨识能力。在对发动机全寿命周期内的所有工况进行仿真测试的结果显示,该方法的最大诊断误差为
0.0036 %,平均误差为0.0008 %,平均计算时间小于0.063 s。与传统诊断架构相比,这种非嵌套的架构可以在保证诊断精度的前提下显著降低了子部件调用次数和故障诊断时间,为克服多部件故障高精度诊断与快速诊断需求相互冲突提供了方法和理论支撑。Abstract:The intercooled recuperated turbofan engine has more health parameters than the ordinary three-shaft turbofan engine, which leads to a larger calculation amount of fault diagnosis. To enhance the speed of gas path fault diagnosis of intercooled recuperated turbofan engine under multi-component degradation, a fast gas path fault diagnosis method for intercooled recuperated turbofan engine was developed. Based on the traditional nested iterative diagnosis architecture, a non-nested iterative architecture was designed, which considered the degradation of 6 rotating components and 2 heat exchanger components. By dividing the components, the engine component matching and fault diagnosis could be completed in the same Newton-Raphson iterative algorithm. The sensor selection optimization was carried out to improve the ability of measuring parameters to identify the degradation of different components. The results of simulation test on all conditions of engine life cycle showed that the maximum diagnostic error of this method was
0.0036 %, the average error was0.0008 %, and the average calculation time was less than 0.063 seconds. Compared with the traditional diagnostic architecture, this non-nested architecture can significantly reduce the number of sub-component calls and fault diagnosis time while ensuring the diagnostic accuracy. It provides the method and theoretical support for overcoming the conflict between high-precision fault diagnosis and rapid diagnosis of multi-component faults. -
编号 健康参数 健康状态1 健康状态2 1 $ {X}_{\text{fan,e}} $ 0.9858 0.9715 2 $ {X}_{\text{fan,f}} $ 0.9818 0.9635 3 $ {X}_{\text{IPC,e}} $ 0.9870 0.9739 4 $ {X}_{\text{IPC,f}} $ 0.9800 0.9600 5 $ {X}_{\text{HPC,e}} $ 0.9530 0.9060 6 $ {X}_{\text{HPC,f}} $ 0.9297 0.8594 7 $ {X}_{\text{HPT,e}} $ 0.9810 0.9619 8 $ {X}_{\text{HPT,f}} $ 1.0129 1.0257 9 $ {X}_{\text{IPT,e}} $ 0.9878 0.9756 10 $ {X}_{\text{IPT,f}} $ 1.0075 1.0150 11 $ {X}_{\text{LPT,e}} $ 0.9946 0.9892 12 $ {X}_{\text{LPT,f}} $ 1.0021 1.0042 13 $ {X}_{\text{IC,e}} $ 0.9910 0.9820 14 $ {X}_{\text{RC,e}} $ 1.0006 1.0012 表 2 备选测量参数
Table 2. Alternative measurement parameter
序号 参数 定义 1 $ {T}_{13} $ 风扇外涵出口温度 2 $ {T}_{21} $ 风扇内涵出口温度 3 $ {T}_{24} $ 间冷器热侧进口温度 4 $ {T}_{25} $ 间冷器热侧出口温度 5 $ {T}_{43} $ 高压涡轮出口温度 6 $ {T}_{47} $ 中压涡轮出口温度 7 $ {T}_{5} $ 低压涡轮出口温度 8 $ {T}_{7} $ 回热器热侧出口温度 9 $ {T}_{16} $ 外涵尾喷管进口温度 10 $ {p}_{25} $ 间冷器热侧出口压力 11 $ {p}_{7} $ 回热器热侧出口压力 12 $ {p}_{16} $ 外涵尾喷管进口压力 表 3 健康参数偏差对测量参数影响矩阵
Table 3. Influence matrix of health parameter deviation on measurement parameter
参数 $ {X}_{\text{fan,e}} $ $ {X}_{\text{fan,f}} $ $ {X}_{\text{IPC,e}} $ $ {X}_{\text{IPC,f}} $ $ {X}_{\text{HPC,e}} $ $ {X}_{\text{HPC,f}} $ $ {X}_{\text{HPT,e}} $ $ {X}_{\text{HPT,f}} $ $ {X}_{\text{IPT,e}} $ $ {X}_{\text{IPT,f}} $ $ {X}_{\text{LPT,e}} $ $ {X}_{\text{LPT,f}} $ $ {X}_{\text{IC,e}} $ $ {X}_{\text{RE,e}} $ $ {T}_{13} $ 0.029 0.142 −0.023 −0.012 −0.002 −0.015 0.041 0.076 0.004 −0.049 −0.179 −0.121 −0.002 −0.125 $ {T}_{21} $ 0.008 0.062 −0.012 −0.006 −0.001 −0.008 0.022 0.041 0.003 −0.025 −0.095 −0.065 −0.001 −0.066 $ {T}_{24} $ 0.064 0.043 0.084 0.162 0.085 −0.004 0.151 0.189 −0.390 −0.868 0.032 0.821 0.011 −0.154 $ {T}_{25} $ 0.045 0.095 0.028 0.070 0.039 −0.010 0.093 0.129 −0.181 −0.433 −0.079 0.326 0.249 −0.139 $ {T}_{43} $ 0.107 0.210 0.543 0.186 0.426 0.036 0.599 0.812 0.588 0.564 0.261 −1.154 0.060 −0.315 $ {T}_{47} $ 0.103 0.227 0.567 0.165 0.441 0.038 0.516 0.340 0.517 0.589 0.259 −1.441 0.062 −0.314 $ {T}_{5} $ 0.173 0.131 0.622 0.184 0.470 0.054 0.619 0.828 0.765 0.893 0.778 −1.250 0.072 −0.224 $ {T}_{7} $ 0.132 0.139 0.381 0.143 0.272 0.117 0.110 0.032 0.308 0.968 0.361 −0.362 0.123 0.307 $ {T}_{16} $ 0.039 0.138 −0.029 0.001 −0.005 −0.016 0.040 0.072 −0.052 −0.152 −0.148 0.017 −0.037 −0.131 $ {p}_{25} $ −0.078 −0.327 −0.897 −0.168 1.184 0.209 1.459 1.717 −1.052 −3.337 0.013 1.797 0.142 −0.298 $ {p}_{7} $ −0.007 −0.270 −0.409 −0.152 −0.298 −0.046 −0.358 −0.458 −0.378 −0.417 0.387 1.006 0.023 0.053 $ {p}_{16} $ −0.354 −0.535 −0.002 −0.005 0.025 −0.022 0.105 0.174 0.037 −0.057 −0.344 −0.291 −0.009 −0.222 表 4 各健康参数间相关性系数值
Table 4. Correlation coefficient values among various health parameters
参数 $ {X}_{\text{fan,e}} $ $ {X}_{\text{fan,f}} $ $ {X}_{\text{IPC,e}} $ $ {X}_{\text{IPC,f}} $ $ {X}_{\text{HPC,e}} $ $ {X}_{\text{HPC,f}} $ $ {X}_{\text{HPT,e}} $ $ {X}_{\text{HPT,f}} $ $ {X}_{\text{IPT,e}} $ $ {X}_{\text{IPT,f}} $ $ {X}_{\text{LPT,e}} $ $ {X}_{\text{LPT,f}} $ $ {X}_{\text{IC,e}} $ $ {X}_{\text{RE,e}} $ $ {X}_{\text{fan,e}} $ 1 $ {X}_{\text{fan,f}} $ 0.88 1 $ {X}_{\text{IPC,e}} $ 0.52 0.67 1 $ {X}_{\text{IPC,f}} $ 0.56 0.68 0.93 1 $ {X}_{\text{HPC,e}} $ 0.10 −0.04 −0.13 0.03 1 $ {X}_{\text{HPC,f}} $ 0.14 −0.06 −0.18 −0.05 0.90 1 $ {X}_{\text{HPT,e}} $ 0.06 −0.05 −0.14 0.03 0.99 0.84 1 $ {X}_{\text{HPT,f}} $ 0.06 −0.02 −0.09 0.07 0.97 0.78 0.99 1 $ {X}_{\text{IPT,e}} $ 0.45 0.59 0.95 0.78 −0.10 −0.16 −0.12 −0.06 1 $ {X}_{\text{IPT,f}} $ 0.39 0.55 0.90 0.69 −0.45 −0.43 −0.47 −0.43 0.93 1 $ {X}_{\text{LPT,e}} $ 0.67 0.34 0.47 0.40 0.23 0.30 0.17 0.17 0.50 0.39 1 $ {X}_{\text{LPT,f}} $ −0.37 −0.57 −0.93 −0.77 0.06 0.14 0.05 −0.01 −0.99 −0.89 −0.38 1 $ {X}_{\text{IC,e}} $ 0.24 0.10 −0.03 0.10 0.41 0.48 0.36 0.33 −0.09 −0.20 0.23 0.11 1 $ {X}_{\text{RE,e}} $ 0.21 0.10 0.12 0.02 −0.30 0.10 −0.46 −0.53 0.11 0.29 0.27 −0.02 0.12 1 表 5 不同组合的测量参数及条件数
Table 5. Different combinations of measurement parameters and conditions
序号 $ {T}_{24} $ $ {T}_{25} $ $ {T}_{47} $ $ {T}_{7} $ $ {p}_{7} $ $ {p}_{16} $ $ \mathrm{\lg }K $ 1 √ − − √ √ √ 0.61 2 − √ − √ √ √ 0.65 3 √ − √ √ − √ 0.68 4 − √ √ − √ √ 0.70 5 √ − √ √ √ √ 0.74 6 − √ √ √ √ √ 0.81 表 6 嵌套与非嵌套迭代算法诊断效果对比
Table 6. Comparison of diagnostic effect between nested and non-nested iterative algorithms
诊断性能对比 嵌套迭代 非嵌套迭代 最大相对误差/% 0.0043 0.0036 平均相对误差/% 0.0011 0.0008 平均调用子部件次数 14112 112 平均计算时间/s 1.213 0.063 -
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