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基于NRBO优化极限学习机的激波管反射阶跃压力上升时间估计OA

Estimation of the Rise Time of Shock Tube Reflection Step Pressure Based on NRBO Optimized Extreme Learning Machine

中文摘要英文摘要

针对激波管反射阶跃压力上升时间估计精度低的问题,提出一种基于牛顿-拉夫逊优化极限学习机(NRBO-ELM)的激波管反射阶跃压力上升时间估计方法.首先,采用压力传感器测量反射阶跃压力信号,得到阶跃响应信号;然后,提取响应信号初始双峰段并进行正弦拟合及插值,估计处理后阶跃响应信号第一峰值时间与振荡周期,构建上升时间估计模型的训练集与测试集;最后,基于NRBO-ELM算法建立上升时间估计的非参数模型,实现激波管反射阶跃压力上升时间准确估计.采用仿真实验和激波管实验验证该方法的有效性和优越性.仿真结果显示:该方法估计激波管反射阶跃压力上升时间的平均绝对百分比误差eMAPE与均方根误差eRMSE分别为0.917%和4.533×10-3 μs,远小于传统参数方程法及极限学习机模型法.实验结果显示:传统参数方程法无法准确估计激波管反射阶跃压力上升时间.而通过引入参数优化的极限学习机算法,建立了反射阶跃压力测量的非参数模型,有效提高了激波管反射阶跃压力上升时间估计精度.

Aiming at the problems such as low accuracy of the estimation of the rise time of the reflection step pressure of the shock tube,a method of estimating the rise time of the reflection step pressure of the shock tube based on the Newton-Raphson based optimizer optimized extreme learning machine(NRBO-ELM)algorithm is proposed.Firstly,a pressure sensor is used to measure the step pressure signal reflected by the shock tube,and the step response signal is obtained,Then,the initial bimodal segment of the response signal is extracted and interpolated by sinusoidal fitting.The first peak time and oscillation period of the step response signal after fitting are estimated,and the training set and test set of the rise time estimation model are constructed.Finally,a nonparametric model for rise time estimation based on the NRBO-ELM algorithm for accurate estimation of the rise time of the reflective step pressure of a shock tube.Simulation results show that the mean absolute percentage error eMAPE and root mean square error eRMSE of NRBO-ELM method for estimating the value of the reflection step pressure rise time of the shock tube are 0.917%and 4.533×10-3 μs,respectively,which are much smaller than those of the traditional parametric equation method and the ELM model method.The experimental results show that the traditional parametric equation method cannot realize the accurate estimation of the reflection step pressure rise time of the shock tube under the conditions of different aluminum diaphragm thicknesses due to the effects of low sampling rate and inaccurate estimation model.The method establishes a nonparametric model for reflection step pressure measurement by introducing a parameter-optimized ELM algorithm,which effectively improves the estimation accuracy of the rise time of the reflection step pressure of the shock tube.

赵宇星;姚贞建;马靖杰

武汉工程大学 电气信息学院,湖北 武汉 430205武汉工程大学 电气信息学院,湖北 武汉 430205武汉工程大学 电气信息学院,湖北 武汉 430205

通用工业技术

力学计量压力传感器激波管动态校准阶跃压力上升时间NRBO优化极限学习机优化算法

mechanics metrologypressure sensorshock tubedynamic calibrationstep pressurerise timeNRBO-ELMextreme learning machineoptimization algorithm

《计量学报》 2026 (2)

206-213,8

国家自然科学基金(52575635,52005202)

10.3969/j.issn.1000-1158.2026.02.07

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