基于轨迹灵敏度的电力系统暂态稳定性定量评估

Quantitative Assessment of The Transient Stability of Power System Based on Trajectory Sensitivity

轨迹灵敏度是定量描述参数对动态系统行为影响的数学工具,蕴含了丰富的系统动态信息。分析了功角相对于故障切除时间的灵敏度与电力系统暂态稳定程度之间的关系,在惯性中心(COI)坐标系下,建立了定量评估发电机暂态稳定程度和全系统暂态稳定程度的指标体系。通过对单机无穷大(SMIB)系统和New England10机39节点系统的算例分析,结果验证了所提指标的单调性和有效性。将基于轨迹灵敏度的稳定评价指标与轨迹分析方法所提出的稳定指标相比较,结果表明评估电力系统暂态稳定性的指标仅需一次仿真计算即可准确评估发电机和全系统的暂态稳定性,无需建立能量函数、计算更为简捷,具有较好的应用价值。

Trajectory sensitivity is a mathematical tool to quantitatively describe the influence on the dynamic behavior of the power system, it contains a wealth dynamic information of power system. In this paper, it is studied the relations between sensitivity of power angle to fault clearing time and transient stability of power system, established the index system that quantitative assessment the transient stability of generator and whole system in the center of inertia （COI）. Case studies are carried out on the one-machine-infinite-bus（SMIB） system and 10-generator 39-bus New England test power system, some results are reported to verify the monotonicity and effectiveness of the index. In comparison to the index of trajectory analysis method, the index provided in this paper accurate evaluation of the transient stability of generator and whole system, also the transient stability should be calculated for only once, it don＇t need to establish the energy function, the calculation more simple and has a better applied cost.