基于SDE的含风电电力系统随机小干扰稳定分析

发布时间：2019-01-28 10:12

【摘要】：针对不断增加的随机波动性风电功率对电力系统稳定性的影响,提出一种在随机空间下的电力系统小干扰稳定性建模和分析方法。选取风机机械功率作为随机激励,用随机过程对其进行建模,进而建立用随机微分方程描述的系统状态方程,克服了常微分方程无法从本质上描述随机过程的缺点。通过伊藤等距性质及伊藤公式给出了状态方程的解析解,进而给出了随机激励下系统小干扰稳定性的判别方法,并提出矩稳定性的定义用以刻画随机小扰动稳定性。双机无穷大系统算例验证了所提方法的有效性。相对于常规的概率型稳定性分析方法,该方法直接对随机状态方程进行求解,与传统概率稳定分析方法相比,能够更准确地揭示随机稳定性的本质,且在随机空间下给出的运动轨迹更利于稳定控制。
[Abstract]:Aiming at the influence of increasing random fluctuating wind power on the stability of power system, a method of modeling and analyzing the stability of power system with small disturbance in random space is proposed. The mechanical power of fan is selected as random excitation, and the stochastic process is used to model the system state equation, which overcomes the shortcoming that ordinary differential equation can not describe the stochastic process in essence. The analytic solution of the state equation is given by Ito equidistant property and Ito formula, and the method of judging the small disturbance stability of the system under random excitation is given, and the definition of moment stability is proposed to describe the stochastic small disturbance stability. The effectiveness of the proposed method is verified by an example of a two-machine infinite bus system. Compared with the conventional probabilistic stability analysis method, this method can directly solve the stochastic state equation. Compared with the traditional probabilistic stability analysis method, this method can reveal the essence of stochastic stability more accurately. Moreover, the motion trajectory given in random space is more favorable to stable control.
【作者单位】：新能源电力系统国家重点实验室(华北电力大学);伯明翰大学;
【基金】：国家自然科学基金重大项目(51190103) 国家863高技术基金项目(2012AA050208)~~
【分类号】：TM712

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