基于二次锥优化的辐射状配电网静态电压稳定裕度计算

Calculation of static voltage stability margin for radial distribution networks based on second-order cone optimizing approach

负荷裕度计算是评估配电网静态电压稳定性的有效手段。结合辐射状配电网的特点,提出了基于二次锥优化方法的负荷裕度计算方法。在建立含DG辐射状配电网负荷裕度计算数学模型的基础上,通过变量代换将该模型向锥优化标准形式转化,实现负荷裕度优化模型的快速计算。以IEEE-33节点系统作为算例,将二次锥优化方法与传统连续潮流法比较,验证了负荷裕度的二次锥优化模型的正确性以及二次锥优化方法的高效性。

Load margin calculation is an effective method to evaluate the static voltage stability of distribution networks. According to the characteristics of radial distribution networks, this paper proposes a novel method of load margin calculation based on the second-order cone optimizing approach. On the basis of the establishment of load margin mathematical model for radial distribution networks with DG, the variable substitution method was used to turn this model into second-order cone programming standard form, so as to achieve the rapid calculation of load margin optimization model. Finally, the proposed method was applied to IEEE 33-nodes system and results are compared with traditional continuation power flow method. Numerical studies are validating the availability of the load margin optimi- zation model as well as representing of the effectiveness of second-order cone approach.