The heat source of an air-conditioned room has an important effect on the indoor environment. The release rates of heat sources are related to the comfort of the designed thermal environment, so they must be determined. Traditional design methods rely on iterative guess-and-correct, which consumes resources and time and cannot meet the needs of modern design. This study aims to establish an inverse model of Tikhonov regularization and least square optimization by using computational fluid dynamics (CFD), so that researchers can accurately determine the time release rate of multiple heat sources with known parameters. The temporal release rates can then be solved based on the inverse matrix operation with the temperature series at different discrete times. The study speeds up the solving process and expresses the temperature as the convolution integral between the temperature response of the thermal response factor and the arbitrary release rate. The results show that applying the above method to the quantization of the temporal release rates of three heat sources in a three-dimensional cavity can correctly determine the temporal release rates of multiple heat sources. The errors between the inversely determined release rates and the actual release rates are less than 40%.

空调房间的热源对室内环境有重要影响。热源的释放速率与设计的热环境的舒适度有关，因此必须确定它们。传统的设计方法依赖于反复的猜测和纠正，这浪费了资源和时间，无法满足现代设计的需求。这项研究旨在通过使用计算流体力学（CFD）建立Tikhonov正则化和最小二乘优化的逆模型，以便研究人员可以准确确定具有已知参数的多个热源的时间释放率。然后可以基于在不同离散时间的温度序列的逆矩阵运算来求解时间释放速率。该研究加快了求解过程，并将温度表示为热响应因子的温度响应与任意释放率之间的卷积积分。结果表明，将上述方法应用于三维腔体中三个热源的时间释放率的量化可以正确确定多个热源的时间释放率。反向确定的释放速率与实际释放速率之间的误差小于40％。