基于多元非线性回归的单螺杆膨胀机性能分析

Performance Analysis of Single Screw Expander Based on Multiple Nonlinear Regression

摘要: 单螺杆膨胀机作为有机朗肯循环系统的动力输出设备，其性能起着至关重要的作用。通过之前的研究发现，传统的物理学工具解决膨胀机内效率和膨胀比的变化规律这一问题较为困难，因此需要借助数学工具进行简化问题。而回归分析方法是一种基于数据之间建立定量化关系的统计数据分析工具，适用于解决该问题。本文利用SPSS软件，选择内容积比、膨胀机转速、进气压力以及容积效率为特征参数，通过调研大量的单螺杆膨胀机实验文献作为样本空间，对螺杆直径为117 mm的单螺杆膨胀机进行了多元非线性回归分析，得到了膨胀机内效率和膨胀比随特征参数变化的回归模型，并对这一模型进行合理性验证。验证结果表明，该模型计算准确度较高，误差较小，能够较好的反应单螺杆膨胀机内效率和膨胀比的变化规律。

Abstract: As the power output equipment of the Organic Rankine Cycle (ORC) system, single screw expander plays a vital role. Previous research has found that it is more difficult for traditional physics tools to solve the problem of the changeable rule of expander efficiency and expansion ratio, so we need to simplify the problem with mathematical tools. Regression analysis is a data analysis method based on the quantitative relationship, which is suitable to solve this problem. Using SPSS software, select the internal volume ratio, expander rotational speed, intake pressure and volumetric efficiency as the characteristic parameters, by investigating a large number of single screw expansion experimental literature as the sample space, the multiple nonlinear regression analysis of the single screw expander with a screw diameter of 117 mm, obtained the regression model of the expansion machine efficiency and expansion ratio with the characteristic parameters, and verified the rationality of this model. The verification results show that the proposed model has high calculation accuracy and small error, which can react to the changeable rule of efficiency and expansion ratio in single screw expander.