基于实验数据的燃烧室火焰传递函数优化方法

杨晨; 刘勇; 张祥; 李昊; 金峰; 刘重阳

doi:10.13224/j.cnki.jasp.20220157

基于实验数据的燃烧室火焰传递函数优化方法

doi: 10.13224/j.cnki.jasp.20220157

杨晨¹,
刘勇¹,
张祥¹,
李昊¹,
金峰¹,
刘重阳²

1.
南京航空航天大学能源与动力工程学院，南京 210001
2.
中国航发四川燃气涡轮研究院，四川绵阳 621300

基金项目: 中国航发集团产学研项目（HFZL2018CXY012）

详细信息

作者简介:
杨晨（1999-），男，硕士生，主要从事不稳定燃烧研究

中图分类号: V231.2；TK16
计量
- 文章访问数: 21
- HTML浏览量: 5
- PDF量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2022-03-27
- 网络出版日期: 2023-10-19

Optimization method on flame transfer function of combustor based on experimental data

1.
School of Power and Energy，Nanjing University of Aeronautics and Astronautics，Nanjing 210001，China
2.
Sichuan Gas Turbine Establishment，Aero Engine Corporation of China，Mianyang Sichuan 621300，China

摘要

摘要:
为简化火焰传递函数建模过程，在实验数据的基础上，采用随机采样和优化方法对迟滞时间与增益的计算模型进行了研究。首先，建立了贫油预混预蒸发（LPP）模型燃烧室实验系统的低阶热声网络（LOTAN）模型；随后，在该LOTAN模型的基础上，基于实验数据，采用Sobol采样构建n-τ的取值空间，利用优化的方法获得了不同工况条件下的火焰传递函数模型参数；最后，基于Kriging模型对n-τ进行了重构。研究结果表明：基于该方法构建的火焰传递函数能够较准确地反映各工况下的非稳态热释放特征，代入LOTAN模型中预测得到的振荡频率与实验结果吻合得较好，最大误差不超过5%，同时，利用该方法预测的振荡燃烧临界油气比（FAR）与实验结果保持一致。
- 不稳定燃烧 /
- 低阶热声网络模型 /
- 火焰传递函数 /
- n-τ模型 /
- Sobol采样
Abstract:
In order to simplify the modeling process of flame transfer function, the calculation model of delay time and gain was studied by using random sampling and optimization method based on the experimental data. Firstly, the low order thermoacoustic network (LOTAN) model of lean premixing prevaporizing (LPP) model combustor test system was established. Then, based on the LOTAN model and test data, Sobol sampling was used to construct the sampling space of n-τ. Finally, n-τ was reconstructed based on the Kriging model. The results showed that the flame transfer function constructed based on this method can accurately express the unsteady heat release characteristics under various working conditions; if being substituted into LOTAN, the predicted results of oscillation frequency were in good agreement with the experimental results, the maximum error did not exceed 5%, at the same time, the critical fuel air ratio (FAR) predicted by this method was consistent with the experimental results.
- unstable combustion /
- low order thermoacoustic network model /
- flame transfer function /
- n-τ model /
- Sobol sampling

HTML

图 1 火焰传递函数（FTF）示意图

Figure 1. Schematic diagram of flame transfer function （FTF）

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图 2 LPP不稳定燃烧实验系统示意图

Figure 2. LPP combustion instability experimental system

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图 3 LPP燃烧不稳定实验系统热声网络模型（单位：mm）

Figure 3. Thermoacoustic network model of LPP combustion instability experimental system (unit: mm)

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图 4 不同试算样本数量下的最优模态与目标模态间的D值

Figure 4. Value of D between the optimal mode and the target mode under different trial sample numbers

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图 5 不同温度和油气比下n与τ的最优解

Figure 5. n and τ obtained by optimization under different temperatures and fuel-air ratios

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图 6 各工况下的τ/T

Figure 6. τ/T under various working conditions

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图 7 n与τ的Kriging模型

Figure 7. Kriging model of n and τ

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图 8 LOTAN预测结果与实验测量值对比

Figure 8. Comparison between predicted results by LOTAN and experimental measurements

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图 9 预测结果与实验结果的相对误差

Figure 9. Relative error between prediction results and experimental results

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图 10 不同油气比下n与τ的预测情况

Figure 10. Prediction of n and τ under different fuel-air ratios

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图 11 增长率随油气比变化情况

Figure 11. Growth rate varies with fuel-air ratio

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表 1 进口温度对自激振荡主频的影响

Table 1. Effects of inlet temperature on main frequency of self-excited oscillation

工况	温度/K	油气比	振荡频率/Hz
A1	345	0.036	115
A2		0.041	140
A3		0.045	142
B1	369	0.035	108
B2		0.039	120
B3		0.043	146
B4		0.045	149
C1	383	0.036	120
C2		0.04	146
C3		0.044	148
C4		0.047	148
D1	402	0.034	123
D2		0.039	148
D3		0.045	157
E1	423	0.032	125
E2		0.037	132
E3		0.041	150
E4		0.045	158

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