Stability and Stabilization of Large-scale Modern Power Systems via the Passivity Theory of Port-Hamiltonian Systems

可持续发展已成为一项紧迫的全球挑战。解决这一问题的一个主要手段是大规模利用可再生能源。然而，这改变了电力系统的性质，给电力系统的稳定运行带来了前所未有的挑战，电力系统可以说是支撑社会生活和经济增长的最重要的基础设施。在可再生能源的大规模利用，特别是同步和民主化(SYNDEM)电网架构和相关的使能技术统一现代电力系统相互作用方面的工作之后，该项目旨在通过发展基本系统理论和控制算法来巩固其理论基础。这将加快可再生能源的规模化利用，提高现代电力系统的稳定性、可靠性、韧性，促进能源独立和可持续发展，带来就业机会和经济增长，最终实现低碳经济。该项目无缝地融合了系统论、电力电子和电力系统方面的深刻多学科思维。端口-哈密顿系统理论结合了几何力学中的历史哈密顿建模方法和电气工程中基于端口的网络建模方法，为复杂的网络化非线性多物理系统的结构建模、分析和控制提供了一个系统的、可扩展的数学框架。这一强大的数学工具将被进一步开发，以钝化具有数百万台电力电子转换器的大规模、互联、地理分布、异质联网的电力系统，并严格证明其稳定性，从而为钝化和均化的现代电力系统提供统一的数学结构。所建立的理论框架将得到数值和实验的验证。这一结果也将有助于理解其他大规模联网系统。研究成果将通过各种渠道及时传播到世界各地，包括LinkedIn虚拟同步电机小组和电力电子支持的自主电力系统。将鼓励来自代表不足群体的本科生和研究生参加该项目。该项目的成果也将包括在研究生课程和培训计划中。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Sustainability has become a pressing global challenge. A major means to address this is to utilize renewable energy at a large scale. However, this changes the nature of power systems and imposes unprecedented challenges to the stable operation of a power system, which is arguably the most important infrastructure underpinning social life and economic growth. Following the PI's work on the large-scale utilization of renewable energy, in particular on the synchronized and democratized (SYNDEM) grid architecture and the associated enabling technologies that unifies the interaction of modern power systems, this project aims to solidify its theoretical foundation by developing fundamental systems theory and control algorithms. This will speed up the large-scale utilization of renewable energy, improve the stability, reliability, resiliency of modern power systems, promote energy independence and sustainability, bring job opportunities and economic growth, and eventually lead to a low-carbon economy. This project seamlessly integrates profound multidisciplinary thinking in systems theory, power electronics, and power systems. The port-Hamiltonian systems theory, which combines the historical Hamiltonian modeling approach in geometric mechanics and the port-based network modeling approach in electrical engineering, offers a systematic and scalable mathematical framework for structural modeling, analysis and control of complex networked nonlinear multi-physics systems. This powerful mathematical tool will be further developed to passivate a large-scale, interconnected, geographically distributed, heterogeneous networked power system with millions of power electronic converters and rigorously prove its stability, leading to a uniform mathematical structure for passivated and homogenized modern power systems. The theoretical framework developed will be validated numerically and experimentally. The results will also shed lights on the understanding of other large-scale networked systems. Research results will be disseminated timely worldwide through various channels, including the LinkedIn Group on Virtual Synchronous Machines and Power Electronics-enabled Autonomous Power Systems. Undergraduates and postgraduates from underrepresented groups will be encouraged to take part in the project. The project results will also be included in graduate courses and training programs.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.