论文标题

受到随机激发的动态功率系统的非感性不确定性量化

Nonintrusive Uncertainty Quantification of Dynamic Power Systems Subject to Stochastic Excitations

论文作者

Qiu, Yiwei, Lin, Jin, Chen, Xiaoshuang, Liu, Feng, Song, Yonghua

论文摘要

由于可再生生成的增加,连续时间随机干扰(也称为随机激发)对电力系统动态的影响越来越大。但是,除了蒙特卡洛模拟中,大多数量化这种影响的现有方法都是侵入性的,这意味着它们不是基于商业仿真软件,因此很难用于电力公司公司。为了填补这一空白,本文提出了一种有效且非感染的方法,用于量化受到随机激发的动态功率系统的不确定性。首先,高斯或非高斯随机激发以随机微分方程为基础。然后,ITô过程由独立的高斯随机参数在光谱中表示,该参数能够通过自适应的稀疏概率概率搭配方法来计算系统动态响应的多项式混乱扩展(PCE)。最后,对系统动态响应和性能指数的概率分布和高阶矩进行了准确有效的量化。所提出的非感​​知方法基于商业仿真软件,例如PSS/E,并具有精心设计的输入信号,从而确保了对电力公司的易用性。该方法通过IEEE 39-BUS和118总线测试系统的案例研究来验证。

Continuous-time random disturbances (also called stochastic excitations) due to increasing renewable generation have an increasing impact on power system dynamics; However, except from the Monte Carlo simulation, most existing methods for quantifying this impact are intrusive, meaning they are not based on commercial simulation software and hence are difficult to use for power utility companies. To fill this gap, this paper proposes an efficient and nonintrusive method for quantifying uncertainty in dynamic power systems subject to stochastic excitations. First, the Gaussian or non-Gaussian stochastic excitations are modeled with an Itô process as stochastic differential equations. Then, the Itô process is spectrally represented by independent Gaussian random parameters, which enables the polynomial chaos expansion (PCE) of the system dynamic response to be calculated via an adaptive sparse probabilistic collocation method. Finally, the probability distribution and the high-order moments of the system dynamic response and performance index are accurately and efficiently quantified. The proposed nonintrusive method is based on commercial simulation software such as PSS/E with carefully designed input signals, which ensures ease of use for power utility companies. The proposed method is validated via case studies of IEEE 39-bus and 118-bus test systems.

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