弹性水击水轮机微分代数模型的仿真

Differential algebra model simulation for hydro turbine with elastic water column

为了验证水力动态的微分方程模型应用于水力机组暂态计算的准确性,采用仿真方法,对弹性水击下水轮机出力的微分代数系统模型进行验证.通过推导弹性水击下水力动态非线性微分方程,建立非线性水轮机的Simulink仿真模块.将水力动态微分方程模型与其他传统计算方法,如传递函数、高阶传递函数、不同形式传递函数、特征线方法进行仿真对比,分析水轮机水头和出力的暂态变化,验证模型应用于水轮机暂态的适用性.结果表明,非线性水轮机微分代数模型的水头和出力计算值与其他几种方法计算结果基本一致,所提出的模型能满足研究水轮机暂态特性的需要.

The simulation method was used to verify the differential algebra model of hydro turbine with elastic water column. Firstly, the derivation procedure of hydraulic dynamic differential equation with elastic water column was given, and the Simulink simulation module of the nonlinear hydro turbine was established. Comparing the differential equation model of hydraulic system with other traditional methods, such as the transfer function, higher order transfer function, different form transfer function and characteristic line, the changes of hydro turbine power and head in transient were analyzed, the precision and applicability of the differential equation model in hydro turbine transient procedure were studied. Results show that head and power values of the nonlinear differential algebra model of hydro tur- bine in transient are consistent with that of other traditional methods, and proposed model can meet the requirement of researching the transient characteristics of hydro turbine.