微分-代数电力系统模型的临界切除时间灵敏度
Critical Clearing Time Sensitivity for Differential-Algebraic Power System Model
摘要：
标准电力系统使用微分代数方程（DAE）建模。暂态事件发生后，电压崩溃可以作为暂态潮流解的分叉而发生，其特征在于系统轨迹到达状态空间中的奇异表面，在该奇异表面处电压因果关系丧失。如果系统处于这样的风险之下，则需要采取预防性控制决策，例如改变AVR设定点，以增强稳定性。在这方面，临界清除时间（CCT）的可控系统参数的灵敏度的知识可以有很大的帮助。DAE系统的稳定性边界比ODE系统复杂，其中除了不稳定平衡点（UEP）和周期轨道的稳定流形外，奇异曲面起着重要作用。在目前的工作中，我们推导出一个通用DAE模型的CCT灵敏度的表达式，使用轨迹灵敏度与应用程序的电力系统暂态稳定分析（TSA）和预防控制。结果示出了多个测试系统，然后验证对计算密集型时域模拟（TDS）。
英文摘要：
Standard power systems are modeled using differential-algebraic equations (DAE). 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 the system is under such a risk, preventive control decisions such as changes in AVR setpoints need to be taken to enhance the stability. In this regard, the knowledge of sensitivity of critical clearing time (CCT) to controllable system parameters can be of great help. The stability boundary of DAE systems is more complicated than ODE systems where in addition to stable manifolds of unstable equilibrium points (UEP) and periodic orbits, singular surfaces play an important role. In the present work, we derive the expressions for CCT sensitivity for a generic DAE model using trajectory sensitivities with applications to power system transient stability analysis (TSA) and preventive control. The results are illustrated for multiple test systems which are then validated against computationally intensive time-domain simulations (TDS).
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