Robust AC Optimal Power Flow

Robust AC Optimal Power Flow
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DOI:
10.1109/tpwrs.2018.2849581
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发表时间:
2017-06
影响因子:
6.6
通讯作者:
Raphael Louca;E. Bitar
Raphael Louca;E. Bitar
中科院分区:
工程技术1区
文献类型:
--
作者:
Raphael Louca;E. Bitar

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人们越来越需要新的优化方法,以促进间歇性可再生能源电力系统的可靠且经济高效的运行。在本文中,我们将鲁棒交流最优潮流(RAC-OPF)问题表述为具有追索权的两阶段鲁棒优化问题。这个问题相当于一个非凸无限维优化问题,一般来说计算起来很困难。假设输电网络中每条母线都有可调的发电或负载,我们开发了一种通过限制追索策略空间仿射于不确定问题数据的有限维半定程序从内部逼近RAC-OPF的技术。我们建立了一个充分条件,在该条件下,半定程序返回一个仿射追索策略,保证对于原始 RAC-OPF 问题是可行的。我们说明了所提出的优化方法在具有不同级别的可再生资源渗透率和不确定性的 WSCC 9 总线和 IEEE 14 总线测试系统上的有效性。
There is a growing need for new optimization methods to facilitate the reliable and cost-effective operation of power systems with intermittent renewable energy resources. In this paper, we formulate the robust AC optimal power flow (RAC-OPF) problem as a two-stage robust optimization problem with recourse. This problem amounts to a nonconvex infinite-dimensional optimization problem that is computationally intractable, in general. Under the assumption that there is adjustable generation or load at every bus in the power transmission network, we develop a technique to approximate RAC-OPF from within by a finite-dimensional semidefinite program by restricting the space of recourse policies to be affine in the uncertain problem data. We establish a sufficient condition under which the semidefinite program returns an affine recourse policy that is guaranteed to be feasible for the original RAC-OPF problem. We illustrate the effectiveness of the proposed optimization method on the WSCC 9-bus and IEEE 14-bus test systems with different levels of renewable resource penetration and uncertainty.