Abstract The high penetration of renewable energy in power systems significantly increases the difficulty of system modelling. Adequate attention should be paid to the impact of the correlation between renewable energy sources and voltage stability. In this paper, a global sensitivity analysis method is proposed to analyse the sensitivity of correlated renewable energy generation to voltage stability. The established model fully considers the uncertainty of wind speed and solar irradiance. Moreover, the simplified local voltage stability index is used to evaluate voltage stability. The global sensitivity analysis method is used to identify the sensitivity of random factors. In addition, the Monte Carlo method is proposed to calculate Pearson correlation coefficients in different distribution spaces. The Nataf inverse transform is used to sample correlated renewable energy. Finally, the global sensitivity index of renewable energy generations is obtained. Numerical results on the modified IEEE 30-bus system and modified IEEE 118-bus system show that with the enhancement of correlation between renewable energy sources, the sensitivity of renewable energy generations to voltage stability is also increasing.

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相关可再生能源电力系统电压稳定性全局敏感性分析

摘要 可再生能源在电力系统中的高渗透率显着增加了系统建模的难度。应充分关注可再生能源与电压稳定性之间相关性的影响。本文提出了一种全局敏感性分析方法来分析相关可再生能源发电对电压稳定性的敏感性。建立的模型充分考虑了风速和太阳辐照度的不确定性。此外，简化的局部电压稳定指数用于评估电压稳定性。全局敏感性分析方法用于识别随机因素的敏感性。此外，还提出了蒙特卡罗方法来计算不同分布空间的皮尔逊相关系数。Nataf 逆变换用于对相关的可再生能源进行采样。最后，得到可再生能源发电的全球敏感性指数。改进的IEEE 30-bus系统和改进的IEEE 118-bus系统的数值结果表明，随着可再生能源之间相关性的增强，可再生能源发电对电压稳定性的敏感性也在增加。