发电隧洞洞径的插值优选法

Interpolation Optimum Selection Methods of Diameter of Hydropower Tunnels

"引水发电隧洞洞径选取的数值方法"[1]一文中提出了一种新的发电隧洞洞径的优化方法,其优化结果更合理.但该方法用多项式进行各项费用的拟合,实际应用中难以确定多项式的次数,且拟合精度并不一定很高.用样条插值函数代替多项式拟合,根据是先对各项费用进行插值还是仅对总费用插值,提出了两种插值优化方法.实例表明插值优化方法的效果更好,两种插值优化方法结果相似,但第2种插值优化方法更简单.

In the paper ＂The Numerical Method of Diameter Selection for Hydropower Tunnel＂, the author has put forward a new optimization method for the selection of hydropower tunnel, and the optimal result is thought to be more proper. However, this method using polynomial fitting technique to simulate each aspeet of costs would be difficult to decide the degree of the polynomial and may not get a good fitting accuracy. Two interpolation optimal methods have been put forward according to whether to interpolate each costs first or only to interpolate the sum of costs by using spline interpolation as a substitute for polynomial fitting. The examples show that interpolation optimum methods have better results; and while two of these methods have similar solutions the second one is much simpler.