论文标题

DC功率电网带有恒力载荷 - 第二部分:非负功率需求,可行性条件和高压解决方案

DC power grids with constant-power loads -- Part II: nonnegative power demands, conditions for feasibility, and high-voltage solutions

论文作者

Jeeninga, Mark, De Persis, Claudio, van der Schaft, Arjan

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。 本文的第二部分探讨了结果的进一步含义。特别是,我们在第I部分中完善了几个结果,以获得非负功率需求的可行性的必要条件,这比第1部分的必要和足够的LMI条件更便宜。更多的条件。我们证明了两种新颖的新颖条件,该条件具有足够的已知条件,可以使已知的能力流动性具有足够的能力流动性。此外,我们证明与可行的电源需求向量相关的独特长期电压半稳定工作点是严格的高压解决方案。还获得了该操作点的参数化,这是第I部分中的参数化双重化,以及一组可行功率需求的边界的参数化。

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. Part II of this paper explores further implications of the results in Part I. In particular, we refine several results in Part I to obtain a necessary and sufficient condition for the feasibility of nonnegative power demands, which is cheaper to compute than the necessary and sufficient LMI condition in Part I. Moreover, we prove two novel sufficient conditions, which generalize known sufficient conditions for power flow feasibility in the literature. In addition, we prove that the unique long-term voltage semi-stable operating point associated to a feasible vector of power demands is a strict high-voltage solution. A parametrization of such operating points, which is dual to the parametrization in Part I, is also obtained, along with a parametrization of the boundary of the set of feasible power demands.

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