文章摘要
马安婷,杨建东,杨威嘉,唐韧博,冯文涛,侯亮宇.总体矩阵法在水电站频率调节稳定性分析中的应用[J].水利学报,2019,50(2):263-272
总体矩阵法在水电站频率调节稳定性分析中的应用
Application of overall matrix method in operation stability analysis for frequency regulation mode of hydropower stations
投稿时间:2018-04-21  
DOI:10.13243/j.cnki.slxb.20180361
中文关键词: 水电站  总体矩阵法  复杂管道系统  稳定性
英文关键词: hydropower station  overall matrix  complex pipeline system  stability
基金项目:国家自然科学基金项目(51879200,51809197,51839008);国家重点研发计划项目(2017YFB0903700)
作者单位E-mail
马安婷 武汉大学 水资源与水电工程科学国家重点实验室, 湖北 武汉 430072  
杨建东 武汉大学 水资源与水电工程科学国家重点实验室, 湖北 武汉 430072 jdyang@whu.edu.cn 
杨威嘉 武汉大学 水资源与水电工程科学国家重点实验室, 湖北 武汉 430072  
唐韧博 武汉大学 水资源与水电工程科学国家重点实验室, 湖北 武汉 430072  
冯文涛 广东省水利电力勘测设计研究院, 广东 广州 510635  
侯亮宇 武汉大学 水资源与水电工程科学国家重点实验室, 湖北 武汉 430072  
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中文摘要:
      水电站输水发电系统稳定性的分析是电站设计和运行中的关键问题。水电站输水发电系统稳定性的分析以往多采用基于传递函数法的理论分析和数值仿真,但当管道系统较为复杂时,如一洞多机输水发电系统,则不易推导系统的传递函数,也不易建立仿真模型并得到较为准确的稳定域。针对上述问题,首先推导了机组阻抗表达式,然后基于水力系统振动特性分析方法,建立输水发电系统总体矩阵,并以最大衰减因子σmax是否小于0作为稳定性的判别依据。为了验证提出方法的准确性,采用总体矩阵法对两个工程实例进行了计算分析,在单管单机模型中与基于传递函数法和Simulink数值仿真的计算结果进行了对比;在一洞四机模型中与Simulink数值仿真的计算结果进行了对比。结果表明,总体矩阵法能够准确求解复杂输水发电系统的稳定域,并可通过修改系统各个模块相应的传递矩阵排列顺序而适应不同的电站布置形式,极大地方便了水电站运行稳定性的计算与分析。
英文摘要:
      The operation stability is a key problem in design and operation of hydropower stations. In the past, theoretical analysis based on transfer function method and numerical simulation were mostly used to analyze the operation stability of hydropower stations. However,when the pipeline system is more complex, such as a system with multiple generating units sharing a same pipeline, it is difficult to deduce the system transfer function,and it is not easy to establish the simulation model and get a more accurate stability region. The aim of this paper is to study the above problems. First,the expression of the impedance of hydropower generating units is derived. Then,based on the analysis method of oscillation characteristics of hydraulic system,an overall matrix of the hydropower generation system is established,and the stability criterion is applied based on whether the maximum damping ratio is smaller than zero. In order to verify the method, two engineering examples are given in this paper. For a hydropower station with one generating unit, the proposed overall matrix method is compared with transfer function method and numerical simulation based on MATLAB/Simulink;for a hydropower station with four generating units sharing the same conduit, the proposed overall matrix method is compared with the numerical simulation based on MATLAB/ Simulink. The results show that the overall matrix method can accurately solve the stability region of the complex system and can be adapted to various layout forms of hydropower stations by modifying the order of the corresponding matrix arrangement of the system,which greatly facilitates the calculation and analysis of the stability of hydropower stations.
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