发表机构
Tsinghua University; Imperial College London; Zhejiang University; University of Zagreb（清华大学; 帝国理工学院; 浙江大学; 萨格勒布大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对IBR主导电力系统，提出同时优化运行行为并确保系统强度的调度框架，通过LMI重构和Rayleigh Cut方法求解，案例验证有效。
AI 中文摘要
基于逆变器的资源（IBR）在现代电力系统中日益占据主导地位，这对经济有效地维持系统强度以保障稳定性构成了重大挑战。同时，IBR的运行行为是软件定义的，包括其稳态功率输出和控制模式，例如构网型（GFM）和跟网型（GFL）。这种灵活性尚未被充分探索以高效运行未来的电力系统。本文开发了一种新颖的框架，该框架同时优化IBR的运行行为并确保足够的系统强度。尽管系统强度约束具有固有的强非凸性，我们仍提供了一种综合解决方案将其整合到调度模型中。我们推导了系统强度约束的严格线性矩阵不等式（LMI）重构，有效解决了由IBR的GFM/GFL模式切换引起的非显式公式和维度变化问题。然后，通过将重构的系统强度约束与其他运行约束相结合，我们将原始非凸隐式系统强度约束调度问题等价转换为显式混合整数半定规划（MISDP）问题。我们进一步提供了一种与标准混合整数线性规划（MILP）求解器兼容的Rayleigh Cut方法，以求解该系统强度约束调度问题。在改进的IEEE 118节点系统和实际江苏电力系统上的案例研究证明了所提出方法的性能。
英文摘要
Inverter-based resources (IBRs) are increasingly dominating modern power systems, posing significant challenges to cost-effectively maintain system strength for stability. At the same time, the operating behaviors of IBRs are software-defined, including both their steady-state power outputs and control modes, e.g. grid-forming (GFM) and grid-following (GFL). Such flexibility has not been fully explored to efficiently operate future power systems. This paper develops a novel framework that simultaneously optimizes IBR operating behaviors and ensures adequate system strength. A comprehensive solution is provided to integrate system strength constraints into scheduling models, despite their inherent strong non-convexities. We derive a rigorous linear-matrix-inequality (LMI) reformulation of the system strength constraint, effectively addressing non-explicit formulations and dimension variation issues caused by GFM/GFL mode switching of IBRs. Then, we equivalently convert the original non-convex implicit system strength-constrained scheduling problem into an explicit mixed-integer semi-definite programming (MISDP) problem by incorporating the reformulated system strength constraint along with other operational constraints. We further provide a Rayleigh Cut method, which is compatible with standard mixed-integer linear programming (MILP) solvers, to solve this system strength-constrained scheduling problem. Case studies on a modified IEEE 118-bus system and a practical Jiangsu power system demonstrate the performance of the proposed methods.
Comments15 pages, 15 figures
