{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/on-existence-of-equilibria-voltage-balancing","title":"On Existence of Equilibria, Voltage Balancing, and Current Sharing in Consensus-Based DC Microgrids","arxiv_id":"2005.00068","date":"2020-04-30","proceeding":null,"authors":[],"abstract":"In this work, we present new secondary regulators for current sharing and\nvoltage balancing in DC microgrids, composed of distributed generation units,\ndynamic RLC lines, and nonlinear ZIP (constant impedance, constant current, and\nconstant power) loads. The proposed controllers sit atop a primary voltage\ncontrol layer, and exchange information over a communication network to perform\nsecondary control actions. We deduce sufficient conditions for the existence\nand uniqueness of an equilibrium point, and show that the desired objectives\nare attained in steady state. Our control design requires only the knowledge of\nlocal parameters of the generation units, facilitating plug-and-play\noperations. We provide a voltage stability analysis, and illustrate the\nperformance and robustness of our designs via simulations. All results hold for\narbitrary, albeit connected, microgrid and communication network topologies.","url_abs":"http://arxiv.org/abs/2005.00068v1","url_pdf":"http://arxiv.org/pdf/2005.00068v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"on-existence-of-equilibria-voltage-balancing","repo_url":"https://github.com/DecodEPFL/Consensus-Based-Current-Sharing-and-Voltage-Balancing-in-DC-Microgrids-with-Exponential-Loads","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"on-existence-of-equilibria-voltage-balancing","repo_url":"https://github.com/DecodEPFL/On-Existence-of-Equilibria-Voltage-Balancing-and-Current-Sharing-in-Consensus-Based-DC-Microgrids","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}