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| Curve piecewise fitting method with exponential curve transition of hot film gas flow sensors |
| PENG Dan, YANG Lei, YANG Jia qiang |
| College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China |
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Abstract A simple and new piecewise fitting method was proposed based on polynomial fitting and piecewise fitting methods in order to improve fitting accuracy of the output curve of a hot film gas flow sensor which is applied to air duct of a high speed train to monitor the motion state of the high speed train. An exponential curve was used as the transition interval between the dividing parts. A dividing point was artificially chosen from the raw data, which means that the raw data was divided into two parts and two fitting curves were subsequently obtained. An intersection point was got with the two fitting curves. The transition area was formed between the two points of the raw data prior to and next to the intersection point. After the processing steps mentioned above, the transition area was corrected with an exponential curve so that a problem of unsmooth connection was solved. Fitting results of polynomial fitting, piecewise fitting based on dividing point and the proposed fitting were given and compared in order to verify the proposed curve fitting method. Results show that the proposed fitting method has the highest accuracy and its curve fitting errors are within 1.5% for all intervals.
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Published: 29 October 2015
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热膜式气流量传感器指数过渡分段拟合方法
为了提高应用于高速列车通气管道监测列车运行状态的热膜式气体流量传感器输出特性的曲线拟合精度,在多项式拟合和分段拟合的基础上,提出指数过渡分段拟合方法.该方法对气体流量和输出电压的关系进行分段拟合,人为选择一个分界点,利用2组原始数据得到2条拟合曲线,2条拟合曲线相交得到一个交点,利用交点的前一个原始数据点和后一个原始数据点构成过渡区间,使用指数函数修正交点附近的过渡区间,解决了分段拟合不平滑的缺陷,实现了曲线间的光滑过渡.对提出的拟合方法进行实验验证,给出并比较了多项式拟合、分段拟合和指数过渡分段拟合的结果.结果表明,提出的指数过渡分段拟合方法具有很高的拟合精度,拟合误差不大于1.5%,方法简单、可靠.
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