论文标题
DC功率电网带有恒力载荷 - 第一部分：功率流的可行性，长期电压稳定性及其对应关系的完整表征
DC power grids with constant-power loads -- Part I: A full characterization of power flow feasibility, long-term voltage stability and their correspondence
论文作者
论文摘要
在这两部分论文中，我们开发了一个统一的框架，用于分析具有恒力载荷的DC功率电网的功率流程方程的可行性。 在本文的第一部分中，我们详细介绍了此类电网的功率流可行性问题，以及选择满足功率流程方程的理想操作点的相关问题。我们介绍并确定所有长期电压半稳定的工作点，并表明此类操作点与恒定功率方程可行的恒定功率需求之间存在一对一的对应关系。可以通过解决初始值问题来找到此类操作点，并且还可以获得这些操作点的参数化。此外，我们给出了所有可行的功率需求集的完整表征，并为该集合的凸度提供了新颖的证明。此外，我们为在小扰动下的权力需求的可行性提供了必要和足够的LMI条件，这扩展了文献中必要的条件。
In this two-part paper we develop a unifying framework for the analysis of the feasibility of the power flow equations for DC power grids with constant-power loads. In Part I of this paper we present a detailed introduction to the problem of power flow feasibility of such power grids, and the associated problem of selecting a desirable operating point which satisfies the power flow equations. We introduce and identify all long-term voltage semi-stable operating points, and show that there exists a one-to-one correspondence between such operating points and the constant power demands for which the power flow equations are feasible. Such operating points can be found by solving an initial value problem, and a parametrization of these operating points is also obtained. In addition, we give a full characterization of the set of all feasible power demands, and give a novel proof for the convexity of this set. Moreover, we present a necessary and sufficient LMI condition for the feasibility of a vector of power demands under small perturbation, which extends a necessary condition in the literature.
