论文标题

非线性静态AC负载的插件操作的消极性条件

Passivity Conditions for Plug-and-Play Operation of Nonlinear Static AC Loads

论文作者

Strehle, Felix, Malan, Albertus Johannes, Krebs, Stefan, Hohmann, Sören

论文摘要

由多个相互作用的分布式生成单元(DGU)在AC微电网中产生的复杂性,其间歇性供应行为需要以一级以分布式或分散的方式控制局部电压 - 源代码逆变器(VSI)。在(Strehle等人,2019年)中,我们使用被动性理论来设计此类VSIS的分散,插件电压和频率控制器。但是,闭环系统的稳定性分析需要与负载的拓扑结构,与任意位置的实际网格相反。在本文中,我们通过考虑在AC微网中任意位置的非线性静态AC负载(ZIP和指数)的更现实和一般的情况来扩展以前的方法。研究可微分映射的单调性,我们为这些非线性静态AC载荷严格的被动性提供了足够的不平等条件。与我们的插件VSI控制器一起,这使我们可以使用被动性参数来推断具有任意拓扑的AC微电网的渐近电压和频率稳定性。验证我们理论发现的说明性模拟总结了我们的工作。

The complexity arising in AC microgrids from multiple interacting distributed generation units (DGUs) with intermittent supply behavior requires local voltage-source inverters (VSIs) to be controlled in a distributed or decentralized manner at primary level. In (Strehle et al., 2019), we use passivity theory to design decentralized, plug-and-play voltage and frequency controllers for such VSIs. However, the stability analysis of the closed-loop system requires a load-connected topology, in contrast to real grids where loads are arbitrarily located. In this paper, we expand our former approach by considering the more realistic and general case of nonlinear static AC loads (ZIP and exponential) at arbitrary locations within an AC microgrid. Investigating the monotonicity of differentiable mappings, we derive sufficient inequality conditions for the strict passivity of these nonlinear static AC loads. Together with our plug-and-play VSI controller, this allows us to use passivity arguments to infer asymptotic voltage and frequency stability for AC microgrids with arbitrary topologies. An illustrative simulation validating our theoretical findings concludes our work.

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