Model for dimensioning borehole heat exchanger applied to mixed-integer-linear-problem (MILP) energy system optimization

IF 2.9 2区 地球科学 Q3 ENERGY & FUELS
Tobias Blanke, Holger Born, Bernd Döring, Joachim Göttsche, Ulf Herrmann, Jérôme Frisch, Christoph van Treeck
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Abstract

This paper introduces three novel approaches to size geothermal energy piles in a MILP, offering fresh perspectives and potential solutions. The research overlooks MILP models that incorporate the sizing of a geothermal borefield. Therefore, this paper presents a new model utilizing a g-function model to regulate the power limits. Geothermal energy is an essential renewable source, particularly for heating and cooling. Complex energy systems, with their diverse sources of heating and cooling and intricate interactions, are crucial for a climate-neutral energy system. This work significantly contributes to the integration of geothermal energy as a vital energy source into the modelling of such complex systems. Borehole heat exchangers help generate heat in low-temperature energy systems. However, optimizing these exchangers using mixed-integer-linear programming (MILP), which only allows for linear equations, is complex. The current research only uses R-C, reservoir, or g-function models for pre-sized borefields. As a result, borehole heat exchangers are often represented by linear factors such as 50 W/m for extraction or injection limits. A breakthrough in the accuracy of borehole heat exchanger sizing has been achieved with the development of a new model, which has been rigorously compared to two simpler models. The geothermal system was configured for three energy systems with varying ground and bore field parameters. The results were then compared with existing geothermal system tools. The new model provides more accurate depth sizing with an error of less than 5 % compared to simpler models with an error higher than 50 %, although it requires more calculation time. The new model can lead to more accurate borefield sizing in MILP applications to optimize energy systems. This new model is especially beneficial for large-scale projects that are highly dependent on borefield size.

应用于混合整数线性问题(MILP)能源系统优化的井眼换热器尺寸模型
本文介绍了在 MILP 中确定地热能桩规模的三种新方法,提供了全新的视角和潜在的解决方案。研究忽略了包含地热井田规模的 MILP 模型。因此,本文提出了一个利用 g 函数模型来调节功率限制的新模型。地热能是一种重要的可再生能源,尤其适用于供暖和制冷。复杂的能源系统具有不同的供热和制冷来源以及错综复杂的相互作用,对于实现气候中和的能源系统至关重要。这项工作大大有助于将地热能这一重要能源纳入此类复杂系统的建模中。井孔热交换器有助于在低温能源系统中产生热量。然而,使用混合整数线性编程(MILP)来优化这些热交换器非常复杂,因为它只允许使用线性方程。目前的研究仅使用 R-C、储层或 g 函数模型来预设钻孔尺寸。因此,井眼热交换器通常用线性系数表示,如抽取或注入极限为 50 W/m。随着新模型的开发,井眼热交换器尺寸确定的准确性取得了突破性进展,并与两个更简单的模型进行了严格比较。地热系统是为三种能源系统配置的,其地面和井田参数各不相同。然后将结果与现有的地热系统工具进行比较。与误差高于 50% 的简单模型相比,新模型提供了更精确的深度尺寸,误差小于 5%,尽管它需要更多的计算时间。在优化能源系统的 MILP 应用中,新模型可实现更精确的井田选型。这种新模型尤其适用于高度依赖井田规模的大型项目。
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来源期刊
Geothermal Energy
Geothermal Energy Earth and Planetary Sciences-Geotechnical Engineering and Engineering Geology
CiteScore
5.90
自引率
7.10%
发文量
25
审稿时长
8 weeks
期刊介绍: Geothermal Energy is a peer-reviewed fully open access journal published under the SpringerOpen brand. It focuses on fundamental and applied research needed to deploy technologies for developing and integrating geothermal energy as one key element in the future energy portfolio. Contributions include geological, geophysical, and geochemical studies; exploration of geothermal fields; reservoir characterization and modeling; development of productivity-enhancing methods; and approaches to achieve robust and economic plant operation. Geothermal Energy serves to examine the interaction of individual system components while taking the whole process into account, from the development of the reservoir to the economic provision of geothermal energy.
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