TRR 154: Mathematical modelling, simulation and optimization using the example of gas networks

TRR 154：以天然气网络为例进行数学建模、模拟和优化

• 批准号: 239904186
• 金额: --
• 依托单位: Friedrich-Alexander-Universität Erlangen-Nürnberg
• 依托单位国家: 德国
• 项目类别: CRC/Transregios
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/239904186?language=en
• 关键词: TRR; 154; Mathematical; modelling; simulation

In recent years, ambitious climate protection initiatives have been presented in Germany. To make the transition to renewable energy sources possible, not only does infrastructure need to be newly built or repurposed, it also requires modernization and efficient operation of the grids. In the transformation to a climate-neutral energy system of the future based on electricity and (green) hydrogen, natural gas will continue to play a significant role for a long time, for (geo)political as well as security and supply reasons. In particular, hydrogen infrastructure will build on existing gas grid capacity. In addition, it is expected that hydrogen will increasingly replace gas as an energy carrier in applications and thus the transitions to climate neutrality will take place smoothly.CRC 154 set out to do just that with the analysis of gas networks, knowing fully well that deep and new mathematical insights in the context of mathematical modeling, simulation, and optimization as well as the links between them are necessary to answer the questions at the core. In doing so, we kept in mind that, in addition to researching the underlying mathematical theories, transferring to, and using these theories in a real-world context requires a corresponding lead time. Thus, outstanding new insights have been gained in the past years and especially in the last period, in which more dynamic aspects, the handling of uncertainties as well as the interrelation to gas trading and especially deregulated energy markets have been considered.The findings achieved in CRC 154 are the result of intensive, cooperative collaboration and research. The structures that CRC 154 set up and established have since become models for other larger research collaborations within and outside the university. They include cooperation in teams, in which scientists reflect the CRC 154’s findings in their discipline and deepen them there, the formation of subareas, in which scientists of different disciplines work on the coupling of the fields, as well as the consideration of demonstrators, each of which addresses problems relevant to practice, which cannot be treated by one mathematical discipline alone and thus require interdisciplinary cooperation.CRC 154 is on an excellent path to achieve and complete its initial goals, such as the development and mathematical analysis of a well-founded hierarchy of models including error analysis or the coupling of integer and continuous models and methods for decision making with inherent incomplete or uncertain information. In the following years, the goal is to raise these methods and models and their couplings to the current challenges of energy transition to a new level of quality using the existing and developed mathematical competencies. The simultaneity of the questions in the energy context paired with the inner-mathematical challenges inspires the fascination to work in this complex of topics and lets expect promising and new deep insights.

近年来，德国提出了雄心勃勃的气候保护倡议。为了实现向可再生能源的过渡，不仅需要新建或重新利用基础设施，还需要电网的现代化和高效运营。在向基于电力和（绿色）氢的未来气候中性能源系统转型的过程中，出于（地缘）政治以及安全和供应方面的原因，天然气将在很长一段时间内继续发挥重要作用。特别是，氢基础设施将建立在现有天然气网络能力的基础上。此外，预计氢气将在应用中越来越多地取代天然气作为能源载体，从而向气候中和的过渡将顺利进行。CRC 154正是通过对天然气网络的分析来做到这一点，充分了解数学建模、模拟和优化背景下的深刻和新的数学见解以及它们之间的联系对于回答核心问题是必要的。在这样做时，我们记住，除了研究基础数学理论之外，在现实世界中转移和使用这些理论也需要相应的准备时间。因此，在过去几年，特别是在过去的一段时期，人们获得了杰出的新见解，其中考虑了更多动态方面、不确定性的处理以及与天然气交易、特别是放松管制的能源市场的相互关​​系。CRC 154 中取得的发现是密集、合作的协作和研究的结果。 CRC 154 建立和建立的结构已成为大学内外其他大型研究合作的典范。其中包括团队合作，其中科学家在其学科中反映 CRC 154 的发现并在那里深化；子领域的形成，其中不同学科的科学家致力于领域的耦合；以及论证者的考虑，每个领域都解决与实践相关的问题，这些问题不能单独由一门数学学科来处理，因此需要跨学科合作。CRC 154 正在一条实现这一目标的极好道路上。 并完成其最初的目标，例如开发和数学分析有充分依据的模型层次结构，包括误差分析或整数和连续模型的耦合以及具有固有不完整或不确定信息的决策方法。在接下来的几年里，我们的目标是利用现有和开发的数学能力，将这些方法和模型及其耦合提升到当前能源转型挑战的新质量水平。能源背景下的问题与内在的数学挑战同时存在，激发了人们对这一复杂主题的兴趣，并让我们期待有希望的新的深刻见解。