Analysis of Small-Signal Stability of Power Systems with Photovoltaic Generators
Analysis of Small-Signal Stability of Power Systems with Photovoltaic Generators
复制标题
光伏发电电力系统小信号稳定性分析
DOI：
10.1007/s00202-019-00778-w
复制
发表时间：
2019
影响因子：
1.8
通讯作者：
and X. Xin
中科院分区：
文献类型：
--
作者：
S. Izumi;Y. Karakawa;and X. Xin
本文对由同步发电机和光伏发电机向无限大母线供电的电力系统的小干扰稳定性进行了理论分析。这里考虑的问题是研究系统平衡点的存在性及其稳定性。针对这一问题，通过研究平衡点所满足的条件，适当地利用中值定理，得到了平衡点存在的PV电流大小的一个充分条件。该条件以关于系统参数的不等式的形式给出。这些不等式表明，如果移除光伏发电机的电力系统有平衡点，那么只要光伏电流很小，在原始系统中也存在平衡点。此外，我们还分析了平衡点的稳定性，证明了在我们的存在条件下找到的平衡点是渐近稳定的。这些结果表明，当光伏电流低于某一水平时，即使引入光伏发电机，也能保持渐近稳定平衡点的存在。
This paper presents a theoretical analysis of the small-signal stability of a power system in which a synchronous generator and a photovoltaic (PV) generator supply power to an infinite bus. The problem considered here is to investigate the existence of the equilibrium points of the system and their stability. In terms of this problem, by focusing on the condition to be satisfied by the equilibrium points and appropriately using the intermediate value theorem, we derive a sufficient condition on the magnitude of the PV current for the existence of the equilibrium points. The condition is given as inequalities with respect to the system parameters. These inequalities show that, if the power system from which the PV generator is removed has equilibrium points, then equilibrium points exist also in the original system as long as the PV current is small. Moreover, we analyze the stability of the equilibrium points and show that the equilibrium points found under our existence condition are asymptotically stable. These results imply that, when the PV current is below a certain level, the existence of the asymptotically stable equilibrium points is preserved even though the PV generator is introduced.