论文标题
多源加热板的建模
Modeling of a multiple source heating plate
论文作者
论文摘要
加热板描述了热量从执行器转移到目标对象。换句话说，它们将热源和加热物体分开，可以进一步用于在该物体上应用特定的热量分布。因此，必须准确地描述其热动力学和执行器的有效协调，以便准确地实现所需的时间依赖温度曲线。在此贡献中，将多源加热板的热动力学建模为准线性热方程，并讨论了空间分布的执行器和传感器的构型。此外，使用有限的体积方案对分布式参数系统进行了近似，并通过产生的高维系统研究了执行器的空间表征对板的热动力学的影响。
Heating plates describe the transfer of heat from actuators to a target object. In other words, they separate the heat sources and heated object and can be further used to apply a specific heat distribution on this object. Therefore, an exact description of their thermal dynamics and an efficient coordination of their actuators is necessary to achieve a desired time-dependent temperature profile accurately. In this contribution, the thermal dynamics of a multiple source heating plate is modeled as a quasi-linear heat equation and the configuration of the spatially distributed actuators and sensors are discussed. Furthermore, the distributed parameter system is approximated using a Finite Volume scheme, and the influence of the actuators' spatial characterization on the plate's thermal dynamics is studied with the resulting high-dimensional system.
