本文關(guān)鍵詞：泵性能測試曲線分段最小二乘多項式擬合算法　出處：《排灌機械工程學(xué)報》2017年09期 　論文類型：期刊論文

  更多相關(guān)文章： 泵性能測試 最小二乘擬合 馬鞍形特性曲線 分段曲線擬合算法 插值擬合

【摘要】：針對現(xiàn)有水泵性能測試曲線擬合算法單一、對水泵非穩(wěn)定性狀態(tài)不規(guī)則、馬鞍形等形狀數(shù)據(jù)擬合精度差、近似效果不理想甚至丟失真實試驗數(shù)據(jù)特性的現(xiàn)狀,通過比較水泵性能曲線的各種擬合方法,分析了不同擬合方法在水泵特性曲線擬合中的優(yōu)缺點,并針對特殊的水泵馬鞍形性能曲線,設(shè)計了分段最小二乘多項式擬合方法.為了保證分段擬合曲線的連續(xù)可導(dǎo)性,在分段最小二乘擬合曲線的基礎(chǔ)上,對各相鄰分段曲線的分段點采用插值擬合的方法進行連接.最后通過試驗驗證,分別采用分段三階最小二乘擬合算法和五階最小二乘擬合算法對試驗數(shù)據(jù)進行擬合,并對擬合結(jié)果進行對比分析.結(jié)果表明:采用分段最小二乘多項式的擬合方法對復(fù)雜特性曲線進行擬合,可以提高擬合曲線的擬合精度,并保證了擬合曲線的連續(xù)性.
[Abstract]:In view of the existing pump performance test curve fitting algorithm is single, the pump instability state is irregular, the saddle shape data fitting accuracy is poor, the approximate effect is not ideal and even lost the real test data characteristics. By comparing various fitting methods of pump performance curve, the advantages and disadvantages of different fitting methods in water pump characteristic curve fitting are analyzed, and the special pump saddle performance curve is analyzed. The piecewise least square polynomial fitting method is designed. In order to ensure the continuous derivation of the piecewise fitting curve, the piecewise least square fitting curve is based on it. The piecewise points of each adjacent piecewise curve are connected by the method of interpolation fitting. Finally, the test is carried out. The experimental data were fitted by piecewise third-order least square fitting algorithm and five-order least square fitting algorithm respectively. The results show that the fitting accuracy of the fitting curve can be improved by using the piecewise least square polynomial fitting method to fit the complex characteristic curve. The continuity of fitting curve is ensured.
【作者單位】： 江蘇大學(xué)國家水泵及系統(tǒng)工程技術(shù)研究中心;
【基金】：江蘇省“六大人才高峰”高層次人才項目(2015-JNHB-015)
【分類號】：TH38
【正文快照】： 湯躍 對水泵進行性能試驗時,需要采用曲線擬合的方法對試驗數(shù)據(jù)進行擬合,從而得到水泵的性能曲線,但不同的曲線擬合方法得到的性能曲線在曲線的精度及誤差等方面各有差異.在泵性能曲線擬合方法中,插值擬合算法比較簡單且擬合曲線與試驗數(shù)據(jù)比較貼合,但是當曲線擺動較大,試驗，

本文編號：1410655