【摘要】 针对解析法和数值分析法均难以精确建立过水系统连续模型的问题,在水击基本方程组的基础上进行变形求解,分析并推导出基于时滞微分方程的过水系统描述理论。基于该理论建立复杂过水系统的时滞微分方程组,研究了其离散求解方法并证明了解的存在性和唯一性。结合实际电站进行仿真计算并与特征线法的计算结果进行比较,验证了所提方法的适用性与优越性,为精确建立水力发电机组连续模型及研究控制策略奠定了基础。更多还原

【Abstract】 For the sake of precisely establishing continuous model of diversion system,this paper presents a time-delay differential model in the basis of the transient flow function of penstock.Based on this method,the delay differential equations of complex diversion system is established and the numerical simulation method is studied.The calculation result is compared with characteristic line method,and it verifies the effectiveness and superiority of this method,which lays a solid foundation for precisely establishing continuous model and researching the control strategy of hydropower unit.更多还原