论文标题
关于使用随机过程的动力系统动态模型中代数变量方差的计算
On the Calculation of the Variance of Algebraic Variables in Power System Dynamic Models with Stochastic Processes
论文作者
论文摘要
这封信提出了一种计算电源系统模型代数变量方差的技术，该变量表示为一组随机差分差异方程。该技术利用Lyapunov方程的解，需要计算系统的状态矩阵。 IEEE 14-BUS系统可证明在各种随机过程中所提出的技术的准确性。通过将结果与蒙特卡洛时域模拟获得的结果进行比较来评估准确性。最后，一项基于全岛爱尔兰传输系统的1479-BUS动态模型的案例研究显示了与Monte Carlo方法相比，所提出的方法的计算效率。
This letter presents a technique to calculate the variance of algebraic variables of power system models represented as a set of stochastic differential-algebraic equations. The technique utilizes the solution of a Lyapunov equation and requires the calculation of the state matrix of the system. The IEEE 14-bus system serves to demonstrate the accuracy of the proposed technique over a wide range of variances of stochastic processes. The accuracy is evaluated by comparing the results with those obtained with Monte Carlo time domain simulations. Finally, a case study based on a 1479-bus dynamic model of the all-island Irish transmission system shows the computational efficiency of the proposed approach compared to the Monte Carlo method.
