用正交函数实现水泵性能曲线的最小二乘拟合

Least square fitting of pump characteristic curve by orthogonal function

在水泵的选型或运行中,通常采用多项式的最小二乘法或根据假设的函数关系来拟合水泵性能曲线。当多项式的次数较高时,方程组易出现病态等问题。为解决这一问题,将正交函数用于水泵性能曲线的最小二乘拟合,并配合绘图工具显示拟合结果。通过算例验证了此方法的精确性和实用性。

Least square method of polynomial or the method based on the given function are used to fit pump characteristic curve in pump selection or operation. Withpolynomial power increasing, morbidity of equations will appear. The orthogonal function is applied in least square fitting of pump characteristic curve to solve the problem. Its nicety and applicability is validated through arithmetical example.