Compressor variable stator vane model performance correction based on backbone map
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摘要:
基于骨架特性原理，建立压气机可调叶片（VSV）变几何性能模型。介绍了压气机骨架特性处理方法的优点和适用性。基于压气机骨架特性处理方法，开发一种VSV模型修正方法，通过调整流量系数、功系数和损失系数的比例修正系数，实现压气机特性随VSV任意角度变化的高精度建模。建立自动优化方法，提高执行效率，减少人工干预。同时，与某型压气机VSV联调试验结果进行对比，相对误差达到小于0.2%的水平，验证了修正方法的正确性和精度；选用比例系数修正特定骨架特性的修正方法，可推广至压气机特性的其他二次影响修正（如雷诺数效应）。
Abstract:The model of variable geometry performance for compressor variable stator vane (VSV) was established based on the principle of backbone map. The advantages and applicability of the compressor backbone map were introduced. Based on the compressor backbone map, the VSV model correction method was developed. By adjusting the proportional correction coefficients of the flow coefficient, work coefficient and loss coefficient, the high-precision modeling of compressor performance varying with VSV angle deviation was realized. An automatic optimization method was established, which improved execution efficiency and reduced manual intervention. As a result, compared with the experimental results, the relative error of the model reached a level of less than 0.2%, which verified the correctness and accuracy of the correction method. The correction method by scaling the specific backbone map parameters could be used to the correction of other secondary effects on compressor maps (e.g. Reynolds number effects).
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图 6 损失系数偏移量随
$\Delta \varPsi\cdot |\Delta \varPsi |$ 变化曲线Figure 6. Loss coefficient offset as a function of
$\Delta \varPsi \cdot |\Delta \varPsi |$ 
图 7 虚拟马赫数随
$ \Delta \varPsi $ 变化曲线Figure 7. Virtual Mav as a function of
$ \Delta \varPsi $ 
图 11 流量系数的修正系数
Figure 11. Flow coefficient scalar as a function of
$ {\rm{d}}\varphi $ 
图 13 损失系数的修正系数
Figure 13. Loss coefficient scalar as a function of
$ {\rm{d}}\varphi $ 
图 14 0.98Nc 转速修正模型与试验特性对比
Figure 14. Corrected model compared with test data at 0.98Nc
图 15 0.75Nc 转速修正模型与试验特性对比
Figure 15. Corrected model compared with test data at 0.75Nc
表 1 0.98Nc转速修正模型的相对误差
Table 1. Relative error of corrected model at 0.98Nc
$ {\rm{d}}\varphi $/（°） $ {\sigma _1} $/% $ {\sigma _2} $/% $ {\sigma _3} $/% −3.0 0.093 0.018 0.186 −1.0 0.176 0.068 0.144 1.0 0.122 0.026 0.145 3.0 0.075 0.006 0.107 
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表 2 0.75Nc转速修正模型的相对误差
Table 2. Relative error of corrected model at 0.75Nc
${\rm{d}}\varphi $/（°） $ {\sigma _1} $/% $ {\sigma _2} $/% $ {\sigma _3} $/% −3.0 0.430 0.185 0.426 −1.0 0.395 0.270 0.289 1.0 0.275 0.123 0.394 3.0 0.292 0.090 0.367
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