膜式水冷壁时变热边界条件的模型预测反演
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摘要
基于模型预测控制思想,研究膜式水冷壁向火侧辐射热流密度、水冷壁管内部流体温度和水冷壁管内部对流换热系数的同时反演问题。在该反演方案中,采用阶跃响应函数建立水冷壁温度的预测模型,利用布置于水冷壁背火侧的温度测点,通过滚动优化同时反演膜式水冷壁的多个时变传热边界条件。基于反算获得的时变传热边界条件,求解水冷壁的温度分布控制方程,可以实现水冷壁温度场的在线重构。利用数值仿真试验验证了上述方案的有效性,并讨论了温度测量误差以及未来时间步数对热边界条件反演结果的影响。
In this paper, the time-dependent thermal boundary conditions of membrane water wall such as the radiation heat flux at the fireside, the fluid temperature and the convective heat transfer coefficient inside the water wall tube were simultaneous identified by using the model predictive control theory. In the inverse scheme, the step response function was used to establish the prediction model of water wall temperature. Based on the partial temperature measurement information on the back of membrane water wall,the time-dependent thermal boundary conditions were simultaneous estimated through rolling optimization. Finally,according to the obtained thermal boundary conditions, the mathematical model of the temperature distribution of the water wall can be solved, and the reconstruction of water wall temperature field can be realized. The validity of the above method was verified by numerical experiments, and the effects of the temperature measurement errors and the number of future time steps on the inversion results were also discussed.
In this paper, the time-dependent thermal boundary conditions of membrane water wall such as the radiation heat flux at the fireside, the fluid temperature and the convective heat transfer coefficient inside the water wall tube were simultaneous identified by using the model predictive control theory. In the inverse scheme, the step response function was used to establish the prediction model of water wall temperature. Based on the partial temperature measurement information on the back of membrane water wall,the time-dependent thermal boundary conditions were simultaneous estimated through rolling optimization. Finally,according to the obtained thermal boundary conditions, the mathematical model of the temperature distribution of the water wall can be solved, and the reconstruction of water wall temperature field can be realized. The validity of the above method was verified by numerical experiments, and the effects of the temperature measurement errors and the number of future time steps on the inversion results were also discussed.
引文
[1]李舟航,唐国力,吴玉新,等.管内周向不均匀流动对超临界锅炉膜式水冷壁温度分布的影响及简化计算[J].中国电机工程学报,2015,35(5):1153-1160.Li Zhouhang,Tang Guoli,Wu Yuxin,et al.Effect of circumferential flow non-uniformity on the temperature distribution of membrane water wall in supercritical boilers and simplified calculation methods[J].Proceedings of the CSEE,2015,35(5):1153-1160(in Chinese).
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[5]Duda P,Taler J.A new method for identification of thermal boundary conditions in water-wall tubes of boiler furnaces[J].International Journal of Heat and Mass Transfer,2009,52(5-6):1517-1524.
[6]Taler J,Duda P,W?glowski B,et al.Identification of local heat flux to membrane water-walls in steam boilers[J].Fuel,2009,88(2):305-311.
[7]蒋文萍,王广军,严飞,等.膜式水冷壁传热边界条件反演[J].中国电机工程学报,2012,32(5):93-98.Jiang Wenping,Wang Guangjun,Yan Fei,et al.Estimation of thermal boundary conditions of the membrane water wall[J].Proceedings of the CSEE,2012,32(5):93-98(in Chinese).
[8]朱丽娜.二维稳态传热系统的模糊反演及其应用[D].重庆:重庆大学,2011.Zhu Lina.Fuzzy inverse for two-dimensional steady heat transfer system and application[D].Chongqing:Chongqing University,2011(in Chinese).
[9]李春燕.超临界锅炉水冷壁管温度数值计算与研究[D].保定:华北电力大学(河北),2009.Li Chunyan.Numerical calculation and study of water-wall tube temperature of supercritical boiler[D].Baoding:North China Electric Power University(Hebei),2009(in Chinese).
[10]Beck J V,Blackwell B,Clair C R S Jr.Inverse heat conduction:Ill-posed problems[M].New York:John Wiley&Sons,1985.
[11]范春利,孙丰瑞,杨立,等.电气设备零件内部三维缺陷的定量红外识别算法研究[J].中国电机工程学报,2006,26(2):159-164.Fan Chunli,Sun Fengrui,Yang Li,et al.Study on a new quantitative thermographic evaluation method of threedimensional subsurface defect for electric apparatus[J].Proceedings of the CSEE,2006,26(2):159-164(in Chinese).
[12]Cui Miao,Yang Kai,Xu Xiaoliang,et al.A modified Levenberg-Marquardt algorithm for simultaneous estimation of multi-parameters of boundary heat flux by solving transient nonlinear inverse heat conduction problems[J].International Journal of Heat and Mass Transfer,2016,97:908-916.
[13]李斌,刘林华.一种基于边界元离散的导热问题几何边界识别算法[J].中国电机工程学报,2008,28(20):38-43.Li Bin,Liu Linhua.An algorithm for geometry boundary identification of heat conduction problem based on boundary element discretization[J].Proceedings of the CSEE,2008,28(20):38-43(in Chinese).
[14]Bozzoli F,Cattani L,Rainieri S,et al.Estimation of the local heat-transfer coefficient in the laminar flow regime in coiled tubes by the Tikhonov regularisation method[J].International Journal of Heat and Mass Transfer,2014,72:352-361.
[15]Woodbury K A,Beck J V.Estimation metrics and optimal regularization in a Tikhonov digital filter for the inverse heat conduction problem[J].International Journal of Heat and Mass Transfer,2013,62:31-39.
[16]Wang Guangjun,Zhu Lina,Chen Hong.A decentralized fuzzy inference method for solving the two-dimensional steady inverse heat conduction problem of estimating boundary condition[J].International Journal of Heat and Mass Transfer,2011,54(13-14):2782-2788.
[17]Wang Guangjun,Wan Shibin,Chen Hong,et al.A double decentralized fuzzy inference method for estimating the time and space-dependent thermal boundary condition[J].International Journal of Heat and Mass Transfer,2017,109:302-311.
[18]Samadi F,Kowsary F,Sarchami A.Estimation of heat flux imposed on the rake face of a cutting tool:a nonlinear,complex geometry inverse heat conduction case study[J].International Communications in Heat and Mass Transfer,2012,39(2):298-303.
[19]Qi H,Ruan L M,Zhang H C,et al.Inverse radiation analysis of a one-dimensional participating slab by stochastic particle swarm optimizer algorithm[J].International Journal of Thermal Sciences,2007,46(7):649-661.
[20]Udayraj,Mulani K,Talukdar P,et al.Performance analysis and feasibility study of ant colony optimization,particle swarm optimization and cuckoo search algorithms for inverse heat transfer problems[J].International Journal of Heat and Mass Transfer,2015,89:359-378.
[21]Lin S M,Chen C K,Yang Y T.A modified sequential approach for solving inverse heat conduction problems[J].International Journal of Heat and Mass Transfer,2004,47(12-13):2669-2680.
[22]Li Yanhao,Wang Guangjun,Chen Hong.Simultaneously regular inversion of unsteady heating boundary conditions based on dynamic matrix control[J].International Journal of Thermal Sciences,2015,88:148-157.
[23]Li Yanhao,Wang Guangjun,Chen Hong.Simultaneously estimation for surface heat fluxes of steel slab in a reheating furnace based on DMC predictive control[J].Applied Thermal Engineering,2015,80:396-403.
[2]李春燕,阎维平,李钧,等.基于矩量法的超临界锅炉水冷壁温度场数值计算[J].中国电机工程学报,2008,28(32):29-34.Li Chunyan,Yan Weiping,Li Jun,et al.Temperature profile calculation for water-wall tube of supercritical boiler based on moment method[J].Proceedings of the CSEE,2008,28(32):29-34(in Chinese).
[3]李春燕,阎维平,梁秀俊,等.600MW超临界锅炉燃烧器区膜式水冷壁温度场的数值计算[J].动力工程,2008,28(5):677-681.Li Chunyan,Yan Weiping,Liang Xiujun,et al.Numerical calculation of the temperature field of membrane waterwall in burner zone of 600 MW supercritical boiler[J].Journal of Power Engineering,2008,28(5):677-681(in Chinese).
[4]张志正,孙保民,郭永红,等.超(超)临界压力锅炉膜式水冷壁危险点壁温在线监测方法研究[J].中国电机工程学报,2005,25(3):130-134.Zhang Zhizheng,Sun Baomin,Guo Yonghong,et al.Research on on-line temperature monitoring of severe point on membrane water wall of ultra-supercritical boiler[J].Proceedings of the CSEE,2005,25(3):130-134(in Chinese).
[5]Duda P,Taler J.A new method for identification of thermal boundary conditions in water-wall tubes of boiler furnaces[J].International Journal of Heat and Mass Transfer,2009,52(5-6):1517-1524.
[6]Taler J,Duda P,W?glowski B,et al.Identification of local heat flux to membrane water-walls in steam boilers[J].Fuel,2009,88(2):305-311.
[7]蒋文萍,王广军,严飞,等.膜式水冷壁传热边界条件反演[J].中国电机工程学报,2012,32(5):93-98.Jiang Wenping,Wang Guangjun,Yan Fei,et al.Estimation of thermal boundary conditions of the membrane water wall[J].Proceedings of the CSEE,2012,32(5):93-98(in Chinese).
[8]朱丽娜.二维稳态传热系统的模糊反演及其应用[D].重庆:重庆大学,2011.Zhu Lina.Fuzzy inverse for two-dimensional steady heat transfer system and application[D].Chongqing:Chongqing University,2011(in Chinese).
[9]李春燕.超临界锅炉水冷壁管温度数值计算与研究[D].保定:华北电力大学(河北),2009.Li Chunyan.Numerical calculation and study of water-wall tube temperature of supercritical boiler[D].Baoding:North China Electric Power University(Hebei),2009(in Chinese).
[10]Beck J V,Blackwell B,Clair C R S Jr.Inverse heat conduction:Ill-posed problems[M].New York:John Wiley&Sons,1985.
[11]范春利,孙丰瑞,杨立,等.电气设备零件内部三维缺陷的定量红外识别算法研究[J].中国电机工程学报,2006,26(2):159-164.Fan Chunli,Sun Fengrui,Yang Li,et al.Study on a new quantitative thermographic evaluation method of threedimensional subsurface defect for electric apparatus[J].Proceedings of the CSEE,2006,26(2):159-164(in Chinese).
[12]Cui Miao,Yang Kai,Xu Xiaoliang,et al.A modified Levenberg-Marquardt algorithm for simultaneous estimation of multi-parameters of boundary heat flux by solving transient nonlinear inverse heat conduction problems[J].International Journal of Heat and Mass Transfer,2016,97:908-916.
[13]李斌,刘林华.一种基于边界元离散的导热问题几何边界识别算法[J].中国电机工程学报,2008,28(20):38-43.Li Bin,Liu Linhua.An algorithm for geometry boundary identification of heat conduction problem based on boundary element discretization[J].Proceedings of the CSEE,2008,28(20):38-43(in Chinese).
[14]Bozzoli F,Cattani L,Rainieri S,et al.Estimation of the local heat-transfer coefficient in the laminar flow regime in coiled tubes by the Tikhonov regularisation method[J].International Journal of Heat and Mass Transfer,2014,72:352-361.
[15]Woodbury K A,Beck J V.Estimation metrics and optimal regularization in a Tikhonov digital filter for the inverse heat conduction problem[J].International Journal of Heat and Mass Transfer,2013,62:31-39.
[16]Wang Guangjun,Zhu Lina,Chen Hong.A decentralized fuzzy inference method for solving the two-dimensional steady inverse heat conduction problem of estimating boundary condition[J].International Journal of Heat and Mass Transfer,2011,54(13-14):2782-2788.
[17]Wang Guangjun,Wan Shibin,Chen Hong,et al.A double decentralized fuzzy inference method for estimating the time and space-dependent thermal boundary condition[J].International Journal of Heat and Mass Transfer,2017,109:302-311.
[18]Samadi F,Kowsary F,Sarchami A.Estimation of heat flux imposed on the rake face of a cutting tool:a nonlinear,complex geometry inverse heat conduction case study[J].International Communications in Heat and Mass Transfer,2012,39(2):298-303.
[19]Qi H,Ruan L M,Zhang H C,et al.Inverse radiation analysis of a one-dimensional participating slab by stochastic particle swarm optimizer algorithm[J].International Journal of Thermal Sciences,2007,46(7):649-661.
[20]Udayraj,Mulani K,Talukdar P,et al.Performance analysis and feasibility study of ant colony optimization,particle swarm optimization and cuckoo search algorithms for inverse heat transfer problems[J].International Journal of Heat and Mass Transfer,2015,89:359-378.
[21]Lin S M,Chen C K,Yang Y T.A modified sequential approach for solving inverse heat conduction problems[J].International Journal of Heat and Mass Transfer,2004,47(12-13):2669-2680.
[22]Li Yanhao,Wang Guangjun,Chen Hong.Simultaneously regular inversion of unsteady heating boundary conditions based on dynamic matrix control[J].International Journal of Thermal Sciences,2015,88:148-157.
[23]Li Yanhao,Wang Guangjun,Chen Hong.Simultaneously estimation for surface heat fluxes of steel slab in a reheating furnace based on DMC predictive control[J].Applied Thermal Engineering,2015,80:396-403.