2020/02/12 by Felix Strehle, Albertus Johannes Malan, Strehle, Felix +5 · 1 citation
Engineering · #FOS: Electrical engineering #Frequency Control in Power Systems #Microgrid Control and Optimization #Smart Grid Energy Management #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2002.05057
openalex publication_date 2020/02/12 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
The complexity arising in AC microgrids from multiple interacting distributed\ngeneration units (DGUs) with intermittent supply behavior requires local\nvoltage-source inverters (VSIs) to be controlled in a distributed or\ndecentralized manner at primary level. In (Strehle et al., 2019), we use\npassivity theory to design decentralized, plug-and-play voltage and frequency\ncontrollers for such VSIs. However, the stability analysis of the closed-loop\nsystem requires a load-connected topology, in contrast to real grids where\nloads are arbitrarily located. In this paper, we expand our former approach by\nconsidering the more realistic and general case of nonlinear static AC loads\n(ZIP and exponential) at arbitrary locations within an AC microgrid.\nInvestigating the monotonicity of differentiable mappings, we derive sufficient\ninequality conditions for the strict passivity of these nonlinear static AC\nloads. Together with our plug-and-play VSI controller, this allows us to use\npassivity arguments to infer asymptotic voltage and frequency stability for AC\nmicrogrids with arbitrary topologies. An illustrative simulation validating our\ntheoretical findings concludes our work.\n