# [1]徐啸虎,周克毅,韦红旗,等.单相受热管动态数学模型的改进[J].东南大学学报(自然科学版),2015,45(6):1101-1107.[doi:10.3969/j.issn.1001-0505.2015.06.014] 　Xu Xiaohu,Zhou Keyi,Wei Hongqi,et al.Improvement of dynamic modelling for single-phase heated tubes[J].Journal of Southeast University (Natural Science Edition),2015,45(6):1101-1107.[doi:10.3969/j.issn.1001-0505.2015.06.014] 点击复制 单相受热管动态数学模型的改进() 分享到： var jiathis_config = { data_track_clickback: true };

45

2015年第6期

1101-1107

2015-11-20

## 文章信息/Info

Title:
Improvement of dynamic modelling for single-phase heated tubes

Author(s):
Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, Southeast University, Nanjing 210096, China

Keywords:

TK221
DOI:
10.3969/j.issn.1001-0505.2015.06.014

Abstract:
To improve the currently available multi-segment lumped parameter models, a new dynamic mathematic model for single-phase heated tubes is established by employing dynamic equations instead of the traditional static equations for calculating the heat transfer across the control volume’s tube wall. Through separating the temporal and spatial terms of the partial differential equations, and combining both lumped and analytical methods, an analytical solution for the temperature distribution of the steam and water in the tubes is derived. Then, by integrating the elemental volume equations, dynamic equations for the heat release of the tube wall are achieved. The improved model, which can be explicitly solved, is more stable and has much wider applicability. The precision analysis results indicate that no static error exists for the initial and final values; a 3-segment series model can achieve more accurate results than the 5-segment one using traditional models. After applying the improved model to an ultra-supercritical boiler superheater, the results show that the response characteristics for the inlet temperature step change are significantly improved, and the results during the pure delay periods are in accordance with those of the distributed parameter models. Compared with traditional multi-segment models, the improved model can achieve higher precision even with less segments. Besides, the transport delay characteristics of the water or steam within tubes can be analyzed more accurately with the improved model.

## 参考文献/References:

[1] 吕崇德,任挺进,姜学智,等. 大型火电机组系统仿真与建模[M]. 北京: 清华大学出版社,2002.
[2] 章臣樾. 锅炉动态特性及其数学模型[M]. 北京: 水利电力出版社,1987.
[3] Liu Changliang,Wang Hong,Ding Jinliang,et al. An overview of modelling and simulation of thermal power plant[C]//2011 International Conference on Advanced Mechatronic Systems. Zhengzhou, China, 2011: 86-91.
[4] Oko E,Wang M H. Dynamic modelling, validation and analysis of coal-fired subcritical power plant[J]. Fuel,2014,135(6): 292-300.
[5] Hou G L,Huang F R,Sun T Y,et al. Mathematical model for ultra-supercritical unit by physical principles[C]//IEEE 9th Conference on Industrial Electronics and Applications. Beijing, China, 2014: 781-786.
[6] Chandrasekharan S, Panda R C,Swaminathan B N. Modeling, identification, and control of coal-fired thermal power plants[J]. Reviews in Chemical Engineering,2014,30(2):1-17.(in Chinese)
[7] 梁庆姣,刘吉臻,薛彦广,等. 超超临界机组的非线性模型及动态特性研究[J]. 动力工程学报,2012,32(2):118-123.
Liang Qingjiao,Liu Jizhen,Xue Yanguang, et al. A non-linear model for ultra-supercritical power unit and the dynamic characteristic study[J]. Journal of Chinese Society of Power Engineering,2012,32(2):118-123.(in Chinese)
[8] 王泽宁,周强泰. 单相受热管通用数学模型[J]. 东南大学学报:自然科学版,1994,24(S1): 83-89.
Wang Zening,Zhou Qiangtai. A universal mathematical model for single-phase heated tubes[J]. Journal of Southeast University: Natural Science Edition,1994,24(S1): 83-89.(in Chinese)
[9] 王泽宁, 周强泰, 孔红军. 单相受热管集中参数简化模型的讨论[J]. 中国电机工程学报, 1993, 13(4): 44-51.
Wang Zening, Zhou Qiangtai, Kong Hongjun. Investigation on the simplified lumped-parameter model of single-phase heated tubes[J]. Proceedings of the CSEE,1993,13(4): 44-51.(in Chinese)
[10] 范永胜, 徐治皋, 陈来九. 锅炉单相区段的嵌套建模方法[J]. 动力工程,1995,15(5): 7-12.
Fang Yongsheng,Xu Zhigao,Chen Laijiu. A insertion modelling method applied to uni-phase boiler sections[J].Power Engineering,1995,15(5): 7-12.(in Chinese)
[11] 任挺进, 谢茂清, 李志刚, 等. 锅炉单相受热面链式建模新方法[J]. 中国电机工程学报,2003,23(3): 175-178.
Ren Tingjin,Xie Maoqing,Li Zhigang,et al. A new method of chain structure modeling on boiler’s single-phase heat-exchanger[J]. Proceedings of the CSEE,2003,23(3): 175-178.(in Chinese)
[12] 范永胜, 眭喆, 姜学智, 等. 一种高精度的锅炉单相区段集总参数动态修正模型[J]. 中国电机工程学报,2000,20(1): 50-54.
Fan Yongsheng,Shui Zhe,Jiang Xuezhi, et al. A high-precision modified lumped-parameter dynamic model applied to uniphase boiler section[J]. Proceedings of the CSEE,2000,20(1): 50-54.(in Chinese)
[13] 闫水保, 李晶晶, 张晓东, 等. 电站过热汽温建模方法的改进[J]. 郑州大学学报:工学版, 2012, 33(1): 55-58.
Yan Shuibao,Li Jingjing,Zhang Xiaodong,et al. Improved modelling method of superheated steam in power plant[J]. Journal of Zhengzhou University: Engineering Science, 2012, 33(1): 55-58.(in Chinese)
[14] 刘笑驰, 蔡瑞忠, 吕崇德. 单相受热管的移动参数模型[J]. 清华大学学报:自然科学版,2003,43(6): 772-774,790.
Liu Xiaochi,Cai Ruizhong,Lü Chongde. Moving parameter model for single phase flow in heated pipes[J]. Journal of Tsinghua University: Science & Technology,2003,43(6): 772-774,790.(in Chinese)
[15] 陈钢, 任挺进. 单相受热管移动参数模型的修正[J]. 清华大学学报:自然科学版,2007,47(5): 695-698.
Chen Gang,Ren Tingjin. Moving parameter model modification for single phase flow in heated pipes[J]. Journal of Tsinghua University: Science & Technology,2007,47(5): 695-698.(in Chinese)
[16] 徐啸虎. 超临界压力锅炉汽水系统动态特性及其数学模型[D]. 南京: 东南大学能源与环境学院,2013.

## 相似文献/References:

[1]陈美军,张志胜,史金飞.基于自适应多态蚁群算法的多约束车辆路径问题[J].东南大学学报(自然科学版),2008,38(1):37.[doi:10.3969/j.issn.1001-0505.2008.01.008]
Chen Meijun,Zhang Zhisheng,Shi Jinfei.Vehicle routing problem with multiple constraints using adaptive and polymorphic ant colony algorithm[J].Journal of Southeast University (Natural Science Edition),2008,38(6):37.[doi:10.3969/j.issn.1001-0505.2008.01.008]
[2]陈树东,孙伟,张云升,等.粉煤灰混凝土二维、三维碳化深度的预测[J].东南大学学报(自然科学版),2007,37(4):645.[doi:10.3969/j.issn.1001-0505.2007.04.020]
Chen Shudong,Sun Wei,Zhang Yunsheng,et al.Carbonation depth prediction of fly ash concrete subjected to 2 and 3 dimensional CO2 attack[J].Journal of Southeast University (Natural Science Edition),2007,37(6):645.[doi:10.3969/j.issn.1001-0505.2007.04.020]
[3]刘闯,朱学忠,刘迪吉.开关磁阻电机的非线性电感参数法仿真分析[J].东南大学学报(自然科学版),2001,31(4):106.[doi:10.3969/j.issn.1001-0505.2001.04.025]
Liu Chuang,Zhu Xuezhong,Liu Diji.Simulation Analysis of Non-Linear Inductance Parameters Method for SRM[J].Journal of Southeast University (Natural Science Edition),2001,31(6):106.[doi:10.3969/j.issn.1001-0505.2001.04.025]
[4]杨兰和.非等温条件下雷管热爆炸临界温度数值计算[J].东南大学学报(自然科学版),2000,30(5):126.[doi:10.3969/j.issn.1001-0505.2000.05.028]
Yang Lanhe.Numerical Calculation for Critical Temperature of Thermal Explosion in Detonators Under Nonisothermal Conditions[J].Journal of Southeast University (Natural Science Edition),2000,30(6):126.[doi:10.3969/j.issn.1001-0505.2000.05.028]
[5]韩瑞珠,盛昭瀚.社会经济领域中一类扩散现象的数学模型[J].东南大学学报(自然科学版),2002,32(4):668.[doi:10.3969/j.issn.1001-0505.2002.04.030]
Han Ruizhu,Sheng Zhaohan.Mathematical model of a diffusion phenomenon in social-economic region[J].Journal of Southeast University (Natural Science Edition),2002,32(6):668.[doi:10.3969/j.issn.1001-0505.2002.04.030]
[6]赵平,魏同立,吴金.深亚微米器件Monte Carlo模拟的数学模型[J].东南大学学报(自然科学版),1999,29(1):8.[doi:10.3969/j.issn.1001-0505.1999.01.002]
Zhao Ping,Wei Tongli,Wu Jin.Mathematical Model on Monte Carlo Simulation for Deep Submicrometer Device[J].Journal of Southeast University (Natural Science Edition),1999,29(6):8.[doi:10.3969/j.issn.1001-0505.1999.01.002]
[7]史伟伟,蒋全,胡敏强,等.三相电压型PWM整流器的数学模型和主电路设计[J].东南大学学报(自然科学版),2002,32(1):50.[doi:10.3969/j.issn.1001-0505.2002.01.012]
Shi Weiwei,Jiang Quan,Hu Minqiang,et al.Mathematical model and main circuit design of three-phase voltage-source PWM rectifier[J].Journal of Southeast University (Natural Science Edition),2002,32(6):50.[doi:10.3969/j.issn.1001-0505.2002.01.012]
[8]袁竹林,杨思文.双级氨吸收制冷数学模型及对中间压力的研究[J].东南大学学报(自然科学版),1996,26(2):38.[doi:10.3969/j.issn.1001-0505.1996.02.006]
Yuan Zhulin,Yang Siwen.A Mathematical Model of a Two-Stage Ammonia Absorption Refrigeration System and the Study of the Middle-Pressure[J].Journal of Southeast University (Natural Science Edition),1996,26(6):38.[doi:10.3969/j.issn.1001-0505.1996.02.006]
[9]吕剑虹,徐治皋,陈来九.由矩阵奇值分解确定热工过程的动态数学模型[J].东南大学学报(自然科学版),1990,20(3):19.[doi:10.3969/j.issn.1001-0505.1990.03.004]
Determination of the Dynamic Math Model for Thermal Process Via Matrix Singular-Value Decomposition[J].Journal of Southeast University (Natural Science Edition),1990,20(6):19.[doi:10.3969/j.issn.1001-0505.1990.03.004]
[10]陶为民,吴申庆,刘友鹏.界面的空间相对位置和两面角的测量误差[J].东南大学学报(自然科学版),1990,20(6):102.[doi:10.3969/j.issn.1001-0505.1990.06.015]
Tao Weimin,Wu Shenqing,Liu Youpeng.Relative Space Pesitions of Interfaces and the Error of Dihedral Angle[J].Journal of Southeast University (Natural Science Edition),1990,20(6):102.[doi:10.3969/j.issn.1001-0505.1990.06.015]