A Unified and Efficient Approach to Power Flow Analysis
A Unified and Efficient Approach to Power Flow Analysis
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DOI：
10.3390/en12122425
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发表时间：
2019-06-02
期刊：
影响因子：
3.2
通讯作者：
Oh, HyungSeon
中科院分区：
文献类型：
--
作者：
Oh, HyungSeon
高度非线性和非凸性的潮流分析在电力系统的监测、控制和运行中起着至关重要的作用。电力系统潮流问题没有解析解，因此求其数值解往往是电力系统分析中现代计算的目标之一。迭代牛顿-拉夫森方法得到了广泛的应用。虽然这种方法在大多数情况下都能在合理的时间内找到解，但它经常涉及数值稳健性问题，如有限收敛区域和病态系统。有时，截断误差可能不足以忽略，这可能会使迭代过程显著扩展。我们提出了一个基于Kronecker积的新的统一框架，它不涉及任何截断，并且是双线性的，使得纳入统计分析成为可能。该方法在不同IEEE模型系统上进行了潮流、状态估计、概率潮流和最优潮流研究。
Highly nonlinear and nonconvex power flow analysis plays a key role in the monitoring, control, and operation of power systems. There is no analytic solution to power flow problems, and therefore, finding a numerical solution is oftentimes an aim of modern computation in power system analysis. An iterative Newton-Raphson method is widely in use. While most times this method finds a solution in a reasonable time, it often involves numerical robustness issues, such as a limited convergence region and an ill-conditioned system. Sometimes, the truncation error may not be small enough to ignore, which can make the iterative process significantly expansive. We propose a new unified framework, based on the Kronecker product, that does not involve any truncation, and which is bilinear to make it possible to incorporate statistical analysis. The proposed method is tested for power flow, state estimation, probabilistic power flow, and optimal power flow studies on various IEEE model systems.