基于广义Tellegen定理的小扰动定理在含光伏源的电力系统潮流算法中的应用研究

摘要

广义Tellegen定理与物理系统属性无关,只与物理系统所建立的数学模型有关,因而被广泛地应用于电力系统中.考虑光伏并网影响因素,将光伏系统视为 PQ 节点,在电流注入潮流模型的基础上,利用小扰动定理建立基于广义Tellegen 定理的修正方程.利用新的修正方程,以引入光伏源的 IEEE30 节点测试系统为例进行潮流计算.算例分析表明,该算法的迭代次数及潮流计算速度均有所改善,同时也表明了广义Tellegen定理在含光伏源系统中同样具有重要的应用价值.%Generalized Tellegen's theorem is independent of physics attribute and has a bearing on the mathematical models. So it has been applied widely in power system. Considering the photovoltaic grid-connected factors, photovoltaic power can be configured as the PQ node in power flow calculation. According to small disturbance theorem, the new modified equation based on the Generalized Tellegen's theorem is established on current-influx model basis. Then, according to the established the new modified equation, photovoltaic power is connected to the IEEE30 test system of pipeline. Example analysis demonstrates that the new algorithm is superior to traditional algorithm in calculation speed and iteration number, and it also shows that Generalized Tellegen's theorem has important application values in power system with photovoltaic power.