基于费马点平移原理的卷烟静燃温度数据前处理方法

采用直接平均法得出的静燃温度曲线与实际情况偏差较大,为了解决这一问题,进一步提高卷烟静燃温度曲线的准确性,分别采用最高温平移法和费马点平移法对数据前处理方法进行优化,并从卷烟静燃温度曲线、卷烟燃烧锥内部温度分布曲面和插值结果误差分析3方面对3种数据前处理方法进行了对比。结果表明:最高温平移法解决了直接平均法中出现的最高静燃温度降低的问题,费马点平移法解决了温度数据离散程度较大的问题(RSD=0.08);两种方法获得的燃烧锥内部温度分布图均与实际燃烧情况吻合较好;插值分析结果表明,最高温平移法和费马点平移法分别将平均相对误差由直接平均法的15.40%降低至13.00%和9.86%。

Temperature Data Pretreatment of Cigarette Static Burning by Parallel Displacement of Fermat Point

It was found that the temperature curve of a cigarette in static burning on the basis of mean temperatures deviated relatively far away from that of actual temperatures.In order to improve the accuracy,the data were pretreated by way of parallel displacement of the highest burning temperature and Fermat point respectively,and their results were compared in terms of the temperature curve of static burning,the temperature distribution surface in burning cone and the error analysis of interpolation results.The results showed that: the decrease of the highest static burning temperature in the mean temperature method was ameliorated by parallel displacement of the highest temperatures,the dispersion of temperature data(RSD=0.08)was improved by parallel displacement of Fermat point;the temperature distribution graph obtained by these two methods pretty well agreed with actual combustion status.Interpolation analysis results showed that the mean relative error was reduced from 15.40% to 13.00% and 9.86% by parallel displacement of the highest temperature shifting method and Fermat point,respectively.