We consider the problem of ensuring stability in a DC microgrid by means of decentralized conditions. Such conditions are derived which are formulated as input–output properties of locally defined subsystems. These follow from various decompositions of the microgrid and corresponding properties of the resulting representations. It is shown that these stability conditions can be combined together by means of appropriate homotopy arguments, thus reducing the conservatism relative to more conventional decentralized approaches that often rely on a passivation of the bus dynamics. Examples are presented to demonstrate the efficiency and the applicability of the results derived.

中文翻译：

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直流微电网的分散稳定性条件：超越被动方法

我们考虑通过分散条件确保直流微电网稳定性的问题。派生出这些条件，这些条件被表述为本地定义的子系统的输入-输出属性。这些来自微电网的各种分解和结果表示的相应属性。结果表明，可以通过适当的同伦论证将这些稳定性条件组合在一起，从而减少相对于通常依赖于总线动力学钝化的更传统的分散方法的保守性。举例说明了所得结果的有效性和适用性。