基于Taylor级数轨迹灵敏度的动态安全域求解

Solving for dynamic security region based on Taylor series trajectory sensitivity

动态安全域(DSR)是电力系统稳定分析的重要内容,实用动态安全域(PDSR)由描述各节点注入功率上、下限的垂直于坐标轴的超平面和描述暂态稳定性临界点的超平面围成。结合轨迹灵敏度法和高阶Taylor技术,推导轨迹灵敏度的高阶Taylor级数递推求解形式。基于势能界面(PEBS)法和高阶Taylor级数轨迹灵敏度技术,快速有效地计算能量裕度灵敏度,从而迭代求解临界功率注入点。利用临界功率点的能量裕度灵敏度数值,求解电力系统有功功率注入空间上的PDSR。New England 10机39节点系统的仿真结果验证了所提方法的有效性。

DSR（Dynamic Security Region） is an important content for the power system stability analysis,and PDSR（Practical Dynamic Security Region） is composed of the hyper-plane,vertical to the coordinate axis,describing the upper and lower limits of node injection power and the hyper-plane describing the critical point of transient stability.The recursive solution form of higher-order Taylor series for trajectory sensitivity is deduced according to the trajectory sensitivity method and the high-order Taylor series technology.Based on PEBS（Potential Energy Boundary Surface） and higher-order Taylor series trajectory sensitivity technology,the energy margin sensitivity can be quickly and efficiently calculated to iteratively solve the critical power injection point,energy margin sensitivity of which is adopted to obtain the PDSR of power system in the active power injection space.The simulative results of New England 10-machine 39-bus system verify the effectiveness of the proposed method.