基于最优未来时间步求解非稳态导热反问题  

Solving Transient Inverse Heat Conduction Problems Based on Optimal Number of Future Time Steps

作　　者：张丽慧[1] 王广军[1] 陈红[1] 罗兆明[1] 

机构地区：[1]低品位能源利用技术及系统教育部重点实验室(重庆大学),重庆市沙坪坝区400044

出　　处：《中国电机工程学报》2012年第2期99-103,共5页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51176211);中央高校基本科研业务费项目(CDJZR10140003)~~

摘　　要：应用顺序函数法(sequential function specificationmethod,SFSM)研究利用未来时刻的温度测量信息反演非稳态导热系统表面热流问题。分析表面热流反演过程中未来时间步的优化问题,依据残差原理建立最优未来时间步的估算方法,并讨论了温度测量误差和测点位置对未来时间步的优化结果及表面热流反演结果的影响。数值试验结果表明,采用该文方法能够在综合考虑温度测量误差水平和温度测点位置等相关因素的基础上,恰当地选择未来时间步数,从而有效地改善表面热流的反演效果。Sequential function specification method （SFSM） was applied to the inverse problem for estimating surface heat flux of the transient inverse heat conduction system by utilizing future temperatures. The optimization problem of the number of future time steps during the process of surface heat flux estimation was analyzed and a method based on residual principle was established to estimate optimal number of future time steps. Also, the effects of measurement errors and measured positions on the optimization results of the number of future time steps and accuracy of inverse solutions were discussed. Numerical experiment results indicate that the proposed method can select a proper number of future time steps with comprehensive consideration of measurement errors and temperature sensor locations to improve the inverse solutions of surface heat flux efficiently.

关 键 词：导热反问题 顺序函数法 残差原理 未来时间步 优化 

分 类 号：TK124[动力工程及工程热物理—工程热物理]