提出一种仅由角速度来计算功角对故障切除时间灵敏度(sensitivity of powerangle to fault clearing time,SPAFCT)的方法。通过对不同详略程度发电机模型的分析,导出SPAFCT与角速度轨迹之间的关系,由此可实现根据轨迹计算SPAFCT。研究表明,SPAFCT与角速度轨迹之间的关系不随模型详略程度(模型阶数)而改变,说明在由角速度轨迹计算SPAFCT时不会受到系统模型参数误差的影响。单机系统和10机39节点系统的算例表明,所提方法具有较高的计算精度且计算简便。算例还表明SPAFCT中蕴含了丰富的电力系统暂态稳定裕度的信息。
A trajectory sensitivity calculation method of power angle to fault clearing time (SPAFCT) based on rotor speed was proposed. The mathematical relationship between the SPAFCT and the generator rotor speed was constructed by different generator models, and the SPAFCT could be obtained only by the rotor speed. It was indicated in the analysis that the mathematical relationship between the SPAFCT and the rotor speed was invariant with varied generator models. And the accuracy of SPAFCT was independent of models and parameters. Studies on the single-machine and infinite bus system (SMIB) and the New England 10-Generator and 39-Bus system show that the trajectory sensitivity calculation output by the proposed method is accurate, and the proposed method is simple. The case studies also indicate that SPAFCT contains rich information about power system transient stability margin.