Temperature information has a certain significance in thermal energy systems, especially in gas combustion systems. Generally, measurements and numerical calculations are used to acquire temperature information, but both of these approaches have their limitations. Constrained by cost and conditions, measurement methods are difficult to use to reconstruct the temperature field. Numerical methods are able to estimate the temperature field; however, the calculation process in numerical methods is very complex, so these methods cannot be used in real time. For the purpose of solving these problems, a two-dimensional temperature field reconstruction method based on the proper orthogonal decomposition (POD) algorithm is proposed in this study. In the proposed method, the temperature field reconstruction task is transformed into an optimization problem. Theoretical analysis and simulations show that the proposed method is feasible. Gas combustion experiments were also performed to validate this method. Results indicate that the proposed method can yield a reliable reconstruction solution and can be applied to real-time applications.

中文翻译：

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基于适当正交分解的模拟和实验温度场的快速重建

温度信息在热能系统中，特别是在气体燃烧系统中，具有一定的意义。通常，使用测量和数值计算来获取温度信息，但是这两种方法都有其局限性。受成本和条件的限制，难以使用测量方法来重建温度场。数值方法能够估计温度场。但是，数值方法的计算过程非常复杂，因此这些方法不能实时使用。为了解决这些问题，本文提出了一种基于适当正交分解（POD）算法的二维温度场重构方法。该方法将温度场的重构任务转化为一个优化问题。理论分析和仿真表明，该方法是可行的。还进行了气体燃烧实验以验证该方法。结果表明，所提出的方法可以提供可靠的重建解决方案，并可以应用于实时应用。