配电网潮流解存在唯一性的显式条件
Explicit Conditions on Existence and Uniqueness of Load-Flow Solutions in Distribution Networks
摘要：
我们提出了明确的充分条件，保证存在和唯一的可行的潮流解决方案的配电网络的一般拓扑结构（径向或网状）建模与正序等效。在这个问题中，我们还考虑了分流元件的存在。该条件具有低的计算复杂性，因此可以在实际系统中有效地验证。一旦满足条件，唯一的潮流解可以通过给定的近似线性复杂度的不动点迭代法来获得。因此，所提出的方法是特别感兴趣的现代主动配电网（ADN）设置的背景下，实时控制。该理论已通过数值实验得到证实。
英文摘要：
We present explicit sufficient conditions that guarantee the existence and uniqueness of the feasible load-flow solution for distribution networks with a generic topology (radial or meshed) modeled with positive sequence equivalents. In the problem, we also account for the presence of shunt elements. The conditions have low computational complexity and thus can be efficiently verified in a real system. Once the conditions are satisfied, the unique load-flow solution can be reached by a given fixed point iteration method of approximately linear complexity. Therefore, the proposed approach is of particular interest for modern active distribution network (ADN) setup in the context of real-time control. The theory has been confirmed through numerical experiments.
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