The design of heat exchanger fields is a key phase to ensure the long-term sustainability of such renewable energy systems. This task has to be accomplished by modelling the relevant processes in the complex system made up of different exchangers, where the heat transfer must be considered within exchangers and outside exchangers. We propose a mathematical model for the study of the heat conduction into the soil as consequence of the presence of exchangers. Such a problem is formulated and solved with an analytical approach. On the basis of such analytical solution, we propose an optimisation procedure to compute the best position of the exchangers by minimising the adverse effects of neighbouring devices. Some numerical experiments are used to show the effectiveness of the proposed method also by taking into account a reference approximation procedure of the problem based on a finite difference method.
翻译:热交换器场的设计是确保这种可再生能源系统的长期可持续性的关键阶段,这项任务必须通过模拟由不同交换器组成的复杂系统中的相关过程来完成,其中热传输必须在交换器和外部交换器中加以考虑。我们提出了一个研究由于交换器的存在而进入土壤的热传导的数学模型。这种问题通过分析方法来拟订和解决。根据这种分析解决办法,我们提议一种优化程序,通过尽量减少相邻装置的不利影响来计算交换器的最佳位置。一些数字实验也用来通过考虑到基于有限差异方法的问题参考近似程序来显示拟议方法的有效性。