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| Differential algebra model of hydraulic turbine including surge tank dynamics |
| HE Jianyu1, Qian Jing2, ZENG Yun3, GUO Yakun4, YU Shige1 |
| 1.Faculty of Architectural Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650500, China; 2.Faculty of Electric Power Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650500, China; 3. Faculty of Me-tallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650093, China; 4.School of Engineering, University of Bradford, Bradford BD71DP, UK |
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Abstract In the transient model of the hydraulic turbine, the hydraulic dynamic of the surge tank is usually regarded as an additional input item or independent variable. In order to eliminate independent variables of the surge tank and reduce the number of unknown variables, in this article, the dynamic of the surge tank is merged into the dynamic of the penstock. First, the dynamic equation of the surge tank is transformed into the transfer function. The dynamic of the surge tank can be included into the transfer function of the dynamic inlet head of the hydraulic turbine according to the continuity equation and transfer function of the pipe. Then, transfer function of the dynamic head can be transferred into differential algebra model. This model combining with the algebraic equation of the torque forms the differential algebra model of hydraulic turbine including surge tank dynamics. In the model, the dynamic of the surge tank is no longer an additional input item or independent variable, decreasing the order of the system, reducing the variable of the equation and the computational complexity of the program. The simulation operating system is established, including a classical parallel PID controller of governor, the PI excitation controller, the third order model of generator and the hydraulic turbine model. The simulation shows that head of hydraulic turbine and generator active values of the proposed model are consistent with those of the traditional model, and the proposed model can meet the requirement of researching the transient characteristics of hydraulic turbine.
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Received: 06 June 2016
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| [1]KENDIR T E,OZDAMAR A.Numerical and experimental investigation of optimum surge tank forms in hydroelectric power plants[J].Renewable energy, 2013,60:323-331.[2]付亮,杨建东,李进平,等.带调压室水电站调节品质的分析[J].水力发电学报,2009, 28(2): 115-120. FU Liang, YANG Jiandong,LI Jingping,et al.Analysis on the governing quality of the hydropower station with surge tank[J].Journal of hydroelectric engineering,2009,28(2):115-120.(in Chinese)[3]赖旭,杨建东,陈鉴治.调压室断面积对调节系统稳定域的影响[J].武汉水利电力大学学报,1997,30(4):13-17. LAI Xu,YANG Jiandong, CHEN Jianzhi. The effect of sectional area of surge tank on stability of turbine regulation system[J].Journal of Wuhan University of Hydraulic and Electric Engineering,1997,30(4):13-17.(in Chinese)[4]DEMELLO F P,KOESSLER R J,AGEE J,et al. Hydraulicturbine and turbine controlmodels for system dynamic studies[J].IEEE transactions on power systems,1992,7(1):167-179.[5]VOUMAS C D, ZAHARAKIS A.Hydro turbine transfer functions with hydraulic coupling[J]. IEEE transactions on energy conversion, 1993,8(3): 527-532.[6]DE JAEGER E,JANSSENS N,MALFLIET B, et al.Hydro turbine model for system dynamic studies[J].IEEE transactions on power systems,1994,9(4):1709-1715.[7]沈祖诒.水轮机调节系统分析[M].北京:中国水利水电出版社,1991:7-23.[8]VOURNAS C D,PAPAIOANNOU G.Modelling and stability of a hydro plant with two surge tanks[J].IEEE transactions on energy conversion, 1995,10(2):368-375.[9]方红庆,陈龙,李训铭.基于线性与非线性模型的水轮机调速器 PID 参数优化比较[J].中国电机工程学报, 2010,30(5):100-106. FANG Hongqing,CHEN Long,LI Xunming.Comparisons of optimal tuning hydro turbine governor PID gains based on linear and nonlinear mathematical models[J].Proceedings of the CSEE,2010,30(5):100-106.(in Chinese)[10]YANG Jiandong,WANG Mingjiang,WANG Chao,et al.Linear modeling and regulation quality analysis for hydro—Turbine governing system with an open tailrace channel[J].Energies,2015(8):11702-11717.[11]曾云,张立翔,钱晶,等.弹性水击水轮机微分代数模型的仿真[J].排灌机械工程学报,2014,32(8):691-697. ZENG Yun,ZHANG Lixiang,QIAN Jing,et al. Differential algebra model simulation for hydro turbine with elastic water column[J].Journal of drainage and irrigation machinery engineering,2014,32(8):691-697.(in Chinese)[12]陈帝伊,郑栋,马孝义,等.混流式水轮机调节系统建模与非线性动力学分析[J].中国电机工程学报,2012,32(32):116-123. CHEN Diyi,ZHENG Dong,MA Xiaoyi,et al.Nonlinear dynamical analysis and mathematical model of hydro-turbine governing systems[J].Proceedings of the CSEE,2012,32(32):116-123.(in Chinese)[13]曾云,王煜,张成立.非线性水轮发电机组哈密顿系统研究[J].中国电机工程学报,2008,28(29):88-92. ZENG Yun,WANG Yu,ZHANG Chengli.Study for ha-miltonian system of nonlinear hydraulic turbine generating unit [J].Proceedings of the CSEE,2008,28(29):88-92.(in Chinese)[14]XU Beibei, WANG Feifei, CHEN Diyi,et al. Hamiltonian modeling of multi-hydro-turbine governing systems with sharing common penstock and dynamic analyses under shock load[J].Energy conversion and management, 2016,108:478-487.[15]高慧敏,刘宪林,徐政.水轮机详细模型对电力系统暂态稳定分析结果的影响[J].电网技术,2005,29(2):5-8. GAO Huimin,LIU Xianlin,XU Zheng.Effect of detailed hydro turbine models on analysis results of power system transient stability [J].Power system technology,2005,29(2):5-8.(in Chinese)[16]ZENG Yun,GUO Yakun,ZHANG Lixiang,et al.Nonli-near hydro turbine model having a surge tank[J]. Mathematical and computer modelling of dynamical systems,2013,19(1):12-28.[17]OLDENBRUGER R,DONELSON J.Dynamic response of a hydroelectric plant [J].Power apparatus and systems,1962,81(3):403-418.[18]KUNDUR P.电力系统稳定与控制[M].周李信,宋永华,周波,等译.北京:中国电力出版社,2002:270-278.[19]MELLO C,KOESSLER R J.Hydraulic turbine and turbine control models for system dynamic studies [J]. IEEE transactions on power systems,1992,7(1):167-179. |
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