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.School of Engineering University of Bradford, UK, Bradford, BD71DP
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
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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