计及调压井动态的水轮机微分代数模型  

Differential algebra model of hydraulic turbine including surge tank dynamics

作　　者：何建宇[1] 钱晶[2] 曾云[3] 郭亚昆[4] 于诗歌 HE Jianyu Qian ring ZENC Yun GUO Yakun YU Shige(Faculty of Architectural Engineering, Kunming University of Science an~ Technology, Kunming, Yunnan 650500, China Faculty of Electric Power Engineering, Kunming University of Science and Technology, Kunming, Yunnan 650500, China Faculty of Me- tallurgical and Energy Engineering, Kunnfing University of Science and Technology, Kunming, Yunnan 650093, China School of Engineering, University of Bradford, Bradford BDT1DP. UK)

机构地区：[1]昆明理工大学建筑工程学院,云南昆明650500 [2]昆明理工大学电力工程学院,云南昆明650500 [3]昆明理工大学冶金与能源工程学院,云南昆明650093 [4]布拉德福德大学工程学院

出　　处：《排灌机械工程学报》2017年第4期319-324,356,共7页Journal of Drainage and Irrigation Machinery Engineering

基　　金：国家自然科学基金资助项目(51579124)

摘　　要：为了消除调压井独立变量,减少未知量个数,将调压井动态归并到管道末端的水力动态.首先将调压井动态方程转化为传递函数形式,利用连续性方程和管道传递函数,将调压井动态归并到压力管道末端水头的动态传递函数,建立包含调压井动态的水轮机进口水头-流量传递函数,进而将该传递函数转化为微分方程模型,与水轮机出力代数方程一起构成了计及调压井动态的水轮机微分代数模型.所建立的模型中,调压井动态不再是附加输入或独立变量,减少了方程的变量和程序的运算量.构建了包括典型PID调速器、励磁PI控制器、三阶发电机模型和所建立的水轮机模型的模拟运行系统.仿真表明,建立的模型水轮机水头和发电机有功计算值与传统方式建立的模型计算结果基本一致,所提出的模型能够满足研究水轮机暂态特性的需要.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 to reduce the number of unknown variables, the dynamic of the surge tank is merged into the dynamic of the penstock. First, the dynamic equation of the surge tank is trans- formed into the transfer function. The dynamic of the surge tank can be included into the transfer func- tion 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 al- gebra model. This model is 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 thesurge 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 simu- lation shows that the head of hydraulic turbine and generator active values of the proposed model are consistent with those of the traditional model, and the Woposed model can meet the requirement of re- searching the transient characteristics of hydraulic turbine.

关 键 词：调压井 水力动态 传递函数 微分方程 

分 类 号：TK730.2[交通运输工程—轮机工程]