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A Trajectory-Unified Method for Constructing the Feasible Region of OPF Problems
Electric Power Components and Systems ( IF 1.5 ) Pub Date : 2020-07-30
Chao-Yu Xue, Hsiao-Dong Chiang

The feasible region plays an important role in optimal power flow (OPF) problems. However, constructing the feasible region of general optimal power flow problems is a challenging task. In this paper, a trajectory-unified (TJU) method is developed to compute the feasible region of general large-scale OPF problems. This is the first attempt, to our knowledge, to develop a numerical method to compute feasible regions of OPF problems. In addition, the projection of the computed feasible region into a desired low-dimensional sub-space is presented. By employing the proposed TJU method, we compute the feasible region of a 9-bus and the IEEE 118-bus OPF problem. It is shown that the feasible region of a power system grows in size from light-loading conditions to medium-loading conditions while it shrinks in size from medium-loading conditions to heavy-loading conditions. This discovery of a geometric property of the feasible solution asserts the observations that OPF problems are generally easy to solve during medium-loading conditions but are generally difficult to solve during heavy-loading conditions.



中文翻译:

弹道统一的OPF问题可行域构造方法

可行区域在最佳潮流(OPF)问题中起着重要作用。但是,构建一般最优潮流问题的可行区域是一项艰巨的任务。本文提出了一种统一的轨迹法(TJU)来计算一般大规模OPF问题的可行范围。据我们所知,这是首次尝试开发一种数值方法来计算OPF问题的可行区域。此外,还介绍了将计算出的可行区域投影到所需的低维子空间中的情况。通过采用提出的TJU方法,我们计算了9总线的可行区域和IEEE 118总线的OPF问题。结果表明,电力系统的可行区域从轻载状态到中载状态逐渐增大,而从中载状态到重载状态则逐渐减小。对可行解的几何性质的发现证实了以下观察结果:OPF问题通常在中等负载条件下很容易解决,而在重负载条件下通常很难解决。

更新日期:2020-07-30
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