阻抗上室式调压室突弃全负荷时涌浪的解析解

Analytical Solution for Surges in Throttled Upper Chamber Surge Tank Following Load Rejection

针对目前对阻抗上室式调压室突弃全负荷时涌浪的研究主要为数值解法和图解法而无解析解法,从调压室基本微分方程和调压室水位波动的规律出发,并结合断面不变的阻抗式调压室的涌浪计算的显式公式,分别推导了阻抗上室式调压室最高涌浪和水位波动的第二振幅的精确隐式公式和显式公式。通过实例验证了这两种解析解法简单方便、有效。

The researches on surge in the throttled upper chamber surge tank following load rejection almost in most cases use numerical method and graphic method, and analytical solution had not been used. From the basic differential equation of surge tank and water level fluctuation law of surge tank, an exact implicit formula for calculating the first and second surges in the throttled upper chamber surge tank following load rejection was derived. Based on an explicit formula for calculating surges in constant section throttled surge tank, an explicit method for calculating the first and second surges in the throttled upper chamber surge tank following load rejection was derived. Practical tests verified that these two analytical solutions are simple, convenient and effective.