小扰动稳定域边界的超平面拟合及应用

依据在同一主导振荡模式下稳定域边界保持连续光滑的特性，提出了利用超平面的形式近似表示稳定域边界的建议．算例表明，超平面拟合的误差可以满足工程应用的要求．针对由于主导振荡模式跳跃造成稳定域边界几何形状突变的现象，提出了一种分类拟合策略，提高了稳定域边界对应多个主导振荡模式时超平面拟合的精度．最后，在全国联网系统中验证了所提算法的有效性．

Hyper-Plane Approximation of Boundary of Small Signal Stability Region and Its Application

As the boundary of small signal stability region （SSSR）for a single critical oscillation mode is always with a smoothness characteristic, a method to approximate the boundary of SSSR with hyper-plane was suggested. The examples showed that error of the proposed method could be accepted in engineering practice. Since the shape of small signal stability region＇s boundary is to be changed suddenly when a switch occurs between two different critical oscillation modes on the boundaries of SSSR, a classifying fitting strategy was put forward. It improves precision of hyper-plane fitting method when there were several critical oscillation modes on the boundary of SSSR. At last, the validity of the method is identified in the application of state interconnected power grid of China.