基于插值法的计量泵流量控制算法研究

针对目前国产计量泵实际流量显示不直观、计量精度低等问题,分别用分段插值、拉格朗日插值、牛顿插值、三次样条插值4种算法,对不同压力下多种型号的计量泵实际流量和频率之间的关系进行了理论研究,并用线性回归分析法对所得计算结果进行了分析。分析结果表明,分段插值算法所得标准误差最小,残差图中的离散性最明显,置信区间最小,更真实的反映了实际流量和频率的关系,可大大提高计量泵的计量精度,适合用作计量泵控制器流量控制算法。

Research on flux control arithmetic applied on meter-pump based on interpolation arithmetic

Because almost all the domestic meter-pump flowmeters are nonvisual and measuring accuracy is lower,the theory research about the relation between different meter-pump actual flux and frequency under different pressure was studied by Piecewise polynomial interpola-tion,Lagrange interpolation,Newton interpolation and Cubic spline interpolation arithmetic,and the results were analyzed by linear regres-sion analysis.The research indicates that the standard deviaton of Piecewise polynomial interpolation arithmetic is minimal,indicator of di-vergence is the clearest,confidence interval is the shortest,and it can describe the relation between actual flux and frequency factually and improve measuring accuracy evidently,so it is suitable to be used for flux control arithmetic of meter-pump controller.