基于有功功率小扰动分析的动态安全域求解

Computation of Dynamic Security Region Based on Active Power Perturbation Analysis

动态安全域(DSR)的暂态稳定边界可以近似表示为超平面,由此提出了一种DSR的快速求解方法。该方法分别对事故前系统的稳定运行点、事故中系统的故障轨迹和事故后系统的暂态稳定性进行有功功率的小扰动分析,然后依据整个暂态响应过程中状态变量的连续性,将不同阶段的分析结果联系起来,最终推导出了超平面形式的DSR解析表达式。应用暂态能量函数分析给出了注入空间上的实用动态安全判据,以此来量化暂态稳定性指标,从而实现对事故后系统的有功功率小扰动分析。该方法的有效性在New England 10机39节点系统上得到了验证。

The boundary of dynamic security region （DSR） can be approximated as one or a few hyper planes （HPs）. Based on this property, a fast method to compute DSR is developed. The method performs active power perturbation analysis respectively on the stable equilibrium point of pre-fault system, the trajectory of fault-on system and transient stability of postfault system. Then, according to the continuities of state variables during transient responded process, results from different stages are connected one by one and the HP expression of DSR is finally obtained. In such method, a practical dynamic security criterion in power injection space, derived using the concept of transient energy function, is deployed to quantify transient stability and implement post-fault power perturbation analysis. Examples on the New England Test System show that the proposed method can significantly reduce computation burden without compromising accuracy.