Distributed Optimization in Smart Grids - Renewal of Proposal for the second funding period of Priority Programme SPP 1984

智能电网的分布式优化 - 优先计划 SPP 1984 第二资助期提案更新

• 批准号: 360501239
• 负责人: Dr. Tatiana Tatarenko
• 金额: --
• 依托单位: Fachgebiet Regelungsmethoden und Robotik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2023-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/360501239?language=en
• 关键词: Distributed; Optimization; Smart; Grids; Renewal

The goal of this project is to find a structural approach to distributed optimization and regulation in Smart Grids, which will take into account not only specific functional properties of the network levels, but also realistic interconnections between these levels. The focus will be on a multi-component model of Smart Grids. The choice of the model consisting of three levels is motivated by recently formulated challenges for the analysis of Smart Grids by means of complex system theory. The idea is to formulate global objectives at each level by means of game theory and distributed optimization. In this project we will develop the corresponding game-theoretic and distributed optimization approaches applicable to the different levels of the Smart Grid model. This work promises to answer the following questions: How should objectives at different structural levels of Smart Grids be formally defined to meet realistic applications as good as possible? What mathematical tools can take communication technologies and information restrictions of large-scale energy systems into account and, thus, provide the methods enabling us to handle the most general payoff-based equilibria learning and constrained distributed non-convex optimization problems?Under which assumptions the theoretic methods proposed in the project will provide some global improvement of the Smart Grid operation in comparison with the techniques presented in the literature so far? How should the proposed theoretic methods be synchronized to achieve a stable and efficient operation of Smart Grids?The main questions addressed in this project will be studied by means of engineering and mathematical tools including game theory, distributed optimization theory, consensus-based methods, stochastic martingale processes, including ergodic Markov chains, and stochastic approximation methods.

该项目的目标是找到一种结构化的方法来分布式优化和调节智能电网，这将不仅考虑到网络级别的特定功能特性，但这些级别之间的现实互连。重点将放在智能电网的多组件模型上。由三个层次组成的模型的选择是出于最近制定的挑战，通过复杂系统理论的智能电网的分析。其思想是通过博弈论和分布式优化在每一级制定全局目标。在这个项目中，我们将开发相应的博弈论和分布式优化方法适用于不同层次的智能电网模型。这项工作承诺回答以下问题：应如何在智能电网的不同结构层次的目标被正式定义，以满足现实的应用尽可能好？什么样的数学工具可以考虑通信技术和大规模能源系统的信息限制，从而提供方法，使我们能够处理最一般的基于收益的均衡学习和约束分布式非凸优化问题？在何种假设下，该项目中提出的理论方法将提供一些全球性的智能电网运行相比，在文献中提出的技术，到目前为止？应该如何同步提出的理论方法，以实现智能电网的稳定和有效的运行？在这个项目中解决的主要问题将通过工程和数学工具，包括博弈论，分布式优化理论，基于共识的方法，随机鞅过程，包括遍历马尔可夫链和随机逼近方法进行研究。