Subjects: Dynamic and Electric Engineering >> Electrical Engineering submitted time 2019-03-05 Cooperative journals: 《电气工程学报》
Abstract：对含随机变量的大规模概率潮流问题，若使用 Gram-Charlier 级数展开式逼 近随机变量的概率分布，计算量较大。建立考虑风电出力随机性和负荷波动性的概率 潮流模型，并采用 Edgeworth 通过的 Hermite 正交矩阵的递推性降低级数高阶展开的 计算复杂度，针对级数变换法高次项被舍去影响逼近精度的问题，采用多重线性化的 方法通过对系统总有功功率的均匀划分，减小因潮流方程线性化时输入的随机变量的 变化范围较大而引起的截断误差。IEEE 39 节点系统的算例仿真结果验证了本方法的 有效性。
Subjects: Mechanical Engineering >> Other Disciplines of Mechanical Engineering submitted time 2018-06-15 Cooperative journals: 《电气工程学报》
Abstract： On the problem of large-scale probabilistic power flow problems with random variables, if the Gram-Charlier series expansion was used to approximate the cumulative distribution of random variables, the amount of calculation was large. In order to reduce the computational complexity of higher order expansion by using the recurrence of Hermite orthogonal matrix of edgeworth, a probabilistic power flow model considering the randomness of wind power output and load fluctuation is established. According to the method of high-order series transform is eliminated the influence of calculation accuracy, the method of multiple linear systems by uniform division of the total active power is used to reduce the truncation error caused by the large variation range of the input random variables due to linearization of the power flow equation. Simulation results of IEEE 39 system verify the effectiveness of the proposed method.
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