摘要
尽管铂电阻“非线性校正”有多种方法,或校正的温区范围不宽,或校正的计算过程颇为复杂等,通用性不强.这里在对铂电阻非线性函数求逆运算常见手段简要总结后,采用最小二乘法结合权函的方法,对铂电阻正温区按3种区段进行了拟合运算,得到了三次、四次多项式系数,并给出了拟合运算误差分布图.在0～650 ℃温区范围内,应用四次多项式拟合运算,最大误差仅为0.003℃.最后简要分析了C语言运算精度与实算数据,进一步证实了多项式直接拟合的优越性.
Although many methods can be used to conduct platinum resistor non-linear rectification,they can not be put into wide use because of shortcomings such as narrow temperature range and complicated calculation of rectification.This paper conducts fitting algorism based on three temperature ranges of platinum resistor within temperature range and obtains cubic and quartic polynomial coefficients via the method of adjusting weight function using least square method after a brief summary of the regular method and problems existing in platinum resistor non-linear function inversion calculation.Meanwhile,fitting algorism error distribution graph was also demonstrated.The maximum error was only ±0.003 ℃ when applying quartic multinomial fitting algorism within the range of 0～650 ℃.Finally,the advantages of multinomial direct fitting was further testified an analysis of C language calculation precision and data instances.
出处
《自动化与仪表》
北大核心
2014年第2期57-60,共4页
Automation & Instrumentation
基金
江苏省自然科学基金项目(BK2013245)
常州市知识产权计划项目(CK20122008)
关键词
铂电阻非线性
最小二乘法
多项式拟合
C语言精度
数据实例
platinum resistor non-linearity
least square methods
polynomial fitting
C language precision
data instances
