电力系统功角稳定域及边界上的全局流形分析  

Study of the Global Manifolds on the Boundary of the Rotor Angle Stability Region in Power Systems

作　　者：马美玲 王杰[1] 李鹏瀚 王子强 熊林云 MA Meiling;WANG Jie;LI Penghan;WANG Ziqiang;XIONG Linyun(School of Electronic Information and Electrical Engineering,Shanghai Jiao Tong University,Minhang District,Shanghai 200240,China)

机构地区：[1]上海交通大学电子信息与电气工程学院,上海市闵行区200240

出　　处：《中国电机工程学报》2020年第18期5865-5874,共10页Proceedings of the CSEE

摘　　要：非线性动力系统中稳定域(吸引域)的概念是许多工程应用学科的研究基础。从几何拓扑学的角度出发,提出一种基于全局流形的完整稳定域研究方法。该方法的主要思想是将系统投影到一个封闭区域中,在一个与原系统拓扑等价的球面上研究系统在无穷远邻域内的动力学行为,从而得到完整的向量场分析。将该理论应用于电力系统的暂态功角稳定域研究中,分别以单机模型、双机模型和多机系统为例,给出了各个模型的等效变换方程及无穷远奇点的计算公式。利用全局流形的几何拓扑结构,反映电力系统暂态功角稳定域边界的完整形态;利用无穷远奇点的变化指标比较了系统在不同故障切除情况下的暂态稳定裕度,并且在四机两区域系统和16机68节点系统上验证了理论分析的正确性。Stability region(also called basin of attraction) of the nonlinear dynamic system is the basis of the engineering applications. A new method based on the global manifolds was proposed to analyze the structure of the entire basin of attraction. The studied system was mapped on the sphere which is topologically equivalent to the original system. Then the nonlinear behavior at infinity was investigated in detail. Afterwards, the method was applied to the study of rotor angle stability region in power systems. Taking the single-machine model, two-machine model and multi-machine system as examples, the topologically equivalent transformation equations and the formula of the singularity at infinity were given. The geometric topology of the global manifold was used to reflect the boundary of the transient stability region, especially the structures extending to the infinity. The transient stability margins of the power system under different fault clearances were compared based on the variation of the singularities at infinity. Finally, the correctness of the theoretical analysis was verified by the four-machine two-area system and the 16-machine 68-node system.

关 键 词：全局流形拓 扑等价 功角稳定域 无穷远奇点 稳定域 

分 类 号：TM712[电气工程—电力系统及自动化]