Abstract
This article explores the setup where large numbers of single-phase grid-forming inverters with droop control across distribution networks self-organize into a stable and balanced system with 120 phase offsets across aggregates in the absence of balanced three-phase generating resources or external communication. A suite of circuit- and system-theoretic notions are leveraged to derive a dynamical model for phase-angle differences across aggregates of inverters connected in the three phases. Focusing on this model, large-signal stability is established and the region of attraction of the phase-balanced equilibria is determined with the aid of a Lyapunov function. Experimental validation for a bench-top prototype network is included to support the analytical developments. Overall, the effort supports the vision of facilitating balanced operation of distribution networks with grid-forming inverters during service disruptions at the bulk transmission network.
Original language | English (US) |
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Pages (from-to) | 3623-3636 |
Number of pages | 14 |
Journal | IEEE Transactions on Power Electronics |
Volume | 39 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1 2024 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 1986-2012 IEEE.
Keywords
- Droop control
- Lyapunov stability
- grid-forming (GFM) inverters
- phase balancing
- single-phase inverters