中文摘要：

随着可再生能源发电和电动汽车的不断接入,随机激励对电力系统特性的影响日渐突出。为了研究电力系统在随机激励下的响应特性,首先,以可再生能源发电和电动汽车接入电网后所引起的功率波动作为随机激励,假设该激励的形式为高斯型白噪声,并基于单机无穷大系统,构造了带有随机功率激励项的非线性随机微分方程模型。其次,采用Heun数值方法,分析了仿真计算步长、随机激励强度以及随机激励步长对系统功角响应的影响。最后,根据系统功角响应功率谱特性,从频域的角度分析了功率随机激励下的功角响应特性,获得了相应的结论。

英文摘要：

With the steady integration of renewable generation and electrical vehicles into power systems,the dynamics of the power system under random factors is receiving ever-increasing concern.In order to discuss the dynamic responses of the power system under random excitation,a nonlinear stochastic differential equation (SDE) model for one machine and infinite bus (OMIB) system is built,where the power fluctuation of renewable energy and electrical vehicles are treated as Gaussian white noise.Then the Heun numerical method is applied to the SDE to calculate the dynamics of rotor angle under random disturbance.The calculation step is firstly changed to study the numerical stability of the Heun method.The random excitations with different intensities are also applied to the SDE,and the impact of random excitation on the dynamics of rotor angle is analyzed.The effect of the time interval of random excitation on the rotor angle is also studied.Finally,according to the characteristics of the corresponding power spectrum,some conclusions of the impact of random excitation on the dynamics of the rotor angle are gained.