Chance-Constrained AC Optimal Power Flow: A Polynomial Chaos Approach
Chance-Constrained AC Optimal Power Flow: A Polynomial Chaos Approach
复制标题
机会约束交流最优潮流：多项式混沌方法
DOI：
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发表时间：
2019
影响因子：
6.6
通讯作者：
Sidhant Misra
中科院分区：
文献类型：
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作者：
T. Mühlpfordt;Line A. Roald;V. Hagenmeyer;T. Faulwasser;Sidhant Misra
随着可再生能源在电网中所占份额的增加，电力系统的运行变得更具挑战性。在充分考虑非线性交流潮流方程和随机不确定性的情况下，提出了一种求解机会约束最优潮流的方法。我们使用多项式混沌展开来模拟有限方差的任意不确定性的影响，从而能够在一系列操作条件下预测和优化系统状态。我们应用机会约束来限制违反不等式约束的概率。与以前的方法相比，我们的方法结合了对可控变量和结果系统状态的更详细和更灵活的描述。两个算例表明了该方法的有效性，重点是交流潮流方程的满足和所有随机变量矩的精确计算。
As the share of renewables in the grid increases, the operation of power systems becomes more challenging. The present paper proposes a method to formulate and solve chance-constrained optimal power flow while explicitly considering the full nonlinear ac power flow equations and stochastic uncertainties. We use polynomial chaos expansion to model the effects of arbitrary uncertainties of finite variance, which enables to predict and optimize the system state for a range of operating conditions. We apply chance constraints to limit the probability of violations of inequality constraints. Our method incorporates a more detailed and a more flexible description of both the controllable variables and the resulting system state than previous methods. Two case studies highlight the efficacy of the method, with a focus on satisfaction of the ac power flow equations and on the accurate computation of moments of all random variables.
影响因子：
6.6
作者：
C. Duan;W. Fang;Lin Jiang;L. Yao;J. Liu
通讯作者：
C. Duan;W. Fang;Lin Jiang;L. Yao;J. Liu