反应成型模具加热系统热源强度的求解是一个典型的热传导反问题，即在给定的温度场解的条件下，求解热管的加载工况。根据反应成型模具加热系统的传热特性，结合线性热传导叠加原理，推导出模具加热系统热传导多源项反演算法，针对反演问题的不适定性，通过选择平方范数来提高反演稳定性和精度。设计单型腔反应固化成型模具，开发温度控制系统，搭建温度场测试试验平台。试验结果证明基于线性热传导叠加原理的多源项反演算法，在解决工程问题上是有效的、可靠的。

The solution of heat source intensity of the mould heating system is a typical inverse conduction problem,which is to solve the loading condition of the heat pipes under the given temperature field. According to the heat conduction characteristics of the curing reaction mould heating system,combining with the linear heat conduction superposition principle,the multiple sources inversion algorithm for the heat conduction of the mould heating system is proposed. For the ill-posedness of the inversion problem,the square norm is selected to improve the stability and the accuracy of the inverse process. An experimental system is built with a single cavity curing reaction mould and a temperature controlling system. The inversion results and the experimental results agree very well,which indicates that the inversion algorithm is effective and reliable to deal with the problem of engineering.