研究具有奇异性的DAE系统的临界清除时间灵敏度(CS SY)

• 2020 年 3 月 27 日
• 筆記

标准电力系统模型是参数相关的微分代数方程(DAE)类型。由于存在瞬态事件，电压崩溃可能作为瞬态负载流解的分支出现，该分支由系统轨迹在失去电压因果关系的状态空间中到达奇异表面来表示。一个故障预计会导致电压崩溃，需要采取预防性控制决策，如AVR设置的更改，以提高系统的稳定性。在这方面，了解临界清除时间(CCT)对可控系统参数的敏感性将有很大的帮助。DAE系统的拟稳定边界比ODE系统更为复杂，除了不稳定平衡点(UEP)和周期轨道外，奇异性也是使问题具有挑战性的重要因素。稳定边界由若干动态不同的分量组成。在本文中，我们推导出临界故障轨迹与奇异面相交时的CCT灵敏度表达式，奇异面本身就是构成稳定边界的一个元件。为了获得直观的理解，本文对一个小型测试系统的测试结果进行了说明。

原文题目：Towards Critical Clearing Time Sensitivity for DAE Systems with Singularity

原文：Standard power system models are parameter dependent differential-algebraic equation (DAE) type. Following a transient event, voltage collapse can occur as a bifurcation of the transient load flow solutions which is marked by the system trajectory reaching a singular surface in state space where the voltage causality is lost. If a fault is expected to cause voltage collapse, preventive control decisions such as changes in AVR settings need to be taken in order to get enhance the system stability. In this regard, the knowledge of sensitivity of critical clearing time (CCT) to controllable system parameters can be of great help. The quasi-stability boundary of DAE systems is more complicated than ODE systems where in addition to unstable equilibrium points (UEP) and periodic orbits, singularity plays an important role making the problem challenging. The stability boundary is then made up of a number of dynamically distinct components. In the present work, we derive the expression for CCT sensitivity for the phenomenon where the critical fault-on trajectory intersects the singular surface itself which is one such component forming the stability boundary. The results are illustrated for a small test system in order to gain visual insights.

原文作者：Chetan Mishra, Chen Wang, Xin Xu, Virgilio A. Centeno

原文地址：http://cn.arxiv.org/abs/2002.08999