JIANG Tao, CHEN Shun, WANG Changjiang, et al. Probabilistic Short Circuit Ratio Calculation of Multiple Renewable Energy Stations in Power Systems Using Maximum Entropy Principle[J]. 2025, (23): 9266-9279.
JIANG Tao, CHEN Shun, WANG Changjiang, et al. Probabilistic Short Circuit Ratio Calculation of Multiple Renewable Energy Stations in Power Systems Using Maximum Entropy Principle[J]. 2025, (23): 9266-9279. DOI: 10.13334/j.0258-8013.pcsee.241228.
基于最大熵原理的新能源多场站短路比概率评估
摘要
为准确、快速评估风电出力不确定性对电网强度的影响,该文提出一种基于最大熵原理的新能源多场站短路比(multiple renewable energy stations short circuit ratio,MRSCR)概率评估方法。首先,推导MRSCR对节点注入功率的灵敏度,以量化风电出力波动性对MRSCR的影响程度;然后,根据风电出力概率分布和MRSCR对节点注入功率灵敏度,计算MRSCR的半不变量和中心矩;进一步,将MRSCR各阶中心矩代入最大熵模型的约束条件中,构建基于最大熵原理的MRSCR概率密度求解模型,求得各风电并网点的MRSCR概率密度,进而实现MRSCR的概率评估;最后,通过修改后新英格兰39节点测试系统和吉林西部实际系统的仿真分析,验证采用所提方法进行MRSCR概率评估的准确性和有效性。
Abstract
This paper proposes a multiple renewable energy stations short circuit ratio (MRSCR) calculation of multiple renewable energy stations using the maximum entropy principle to evaluate the impact of uncertainty of wind power output on the grid strength. First
the sensitivity of MRSCR is derived to quantify the impact of wind power on the MRSCR. Then
the cumulants and central moments of MRSCR are calculated with the probability distribution of wind power output and the sensitivity of MRSCR. Furthermore
the central moments of each order of MRSCR are brought into the constraint conditions of the maximum entropy model
and the probability density solution model of MRSCR based on the maximum entropy principle is constructed. Then
the probability density of MRSCR at each bus connected to the wind farm can be calculated. Finally
the performance of the proposed method is evaluated by the modified New England 39-bus test system and the western Jilin power systems; the results confirm the accuracy and effectiveness of the proposed method in the probabilistic MRSCR calculation.