实用动态安全域降维可视化方法

近年来的研究表明,保证暂态稳定的实用动态安全域(PDSR)可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。对于既定的事故前、后系统图形和既定的事故,它是惟一确定的,与运行状态无关。但注入功率空间维数太高时则难以直接在三维或二维空间上实现可视化。为此,文中提出了将高维PDSR降成三维的方法,并保持降维后的PDSR对于既定的事故前、后系统图形和既定的事故,仍近似是惟一确定的,不因注入的变化而改变,称降维后的PDSR为类PDSR(L—PDSR)。对其进行三维的可视化,可使调度员对当前的运行点在注入空间内不同方向上的稳定裕量一目了然,从而快速、准确地进行预决策乃至紧急控制。又由于对于预想事故集中的不同预想事故下的PDSR,总是希望能在同一坐标空间上观察其交集,即综合安全域,故文中也针对一个实际电力系统研究了这种可能性。同时基于上述方法开发成功了相应的可视化系统。

Approach of Dimension Reduction for Visualization of Practical Dynamic Security Region

Recent years, it has been shown through a lot of research that a PDSR in injection space of a real power system is surrounded by vertical hyper-planes. Those hyper-planes are the upper and lower limits of every bus injection and one or several hyper-planes describe the critical points of transient stability in power injection space. For specific fault and specific configurations of pre-fault and post-fault power system, the PDSR is exclusive and does not change with operating states. However, the dimension of the injection power space is too high to realize visualization in 2D space or 3D space directly. Therefore this paper develops an approach to reduce the dimension of PDSR from very high to three, ensuring that after the dimension reduction, the PDSR is also approximately exclusive for a specific fault and specific configurations of pre-fault and post-fault power system and is invariable when injection power is changed. By visualizing the PDSR, the dispatchers can monitor the system security and make decision of security control more quickly and correctly. In addition, for PDSRs of different contingency in contingency set, we expect that we can observe their intersection in one reference frame, namely integrated security region. Hence this paper explores this possibility aiming at a real power system in China. At the same time, a visualization system is correspondingly developed based on above-mentioned dimension reduction technique.