Conditions for stability of droop-controlled inverter-based microgrids

We consider the problem of stability analysis for droop-controlled inverter-based microgrids with meshed topologies. The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired...

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Veröffentlicht in:Automatica (Oxford) 2014-10, Vol.50 (10), p.2457-2469
Hauptverfasser: Schiffer, Johannes, Ortega, Romeo, Astolfi, Alessandro, Raisch, Jörg, Sezi, Tevfik
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container_end_page 2469
container_issue 10
container_start_page 2457
container_title Automatica (Oxford)
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creator Schiffer, Johannes
Ortega, Romeo
Astolfi, Alessandro
Raisch, Jörg
Sezi, Tevfik
description We consider the problem of stability analysis for droop-controlled inverter-based microgrids with meshed topologies. The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired active power sharing, are derived in the paper. First, we prove that for all practical choices of these parameters global boundedness of trajectories is ensured. Subsequently, assuming the microgrid is lossless, a port-Hamiltonian description is derived, from which sufficient conditions for stability are given. Finally, we propose for generic lossy microgrids a design criterion for the controller gains and setpoints such that a desired steady-state active power distribution is achieved. The analysis is validated via simulation on a microgrid based on the CIGRE (Conseil International des Grands Réseaux Electriques) benchmark medium voltage distribution network.
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source Elsevier ScienceDirect Journals Complete
subjects Applied sciences
Automatic
Automatic Control Engineering
Computer Science
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Convertors
Droop control
Electrical engineering. Electrical power engineering
Electrical machines
Electrical power engineering
Engineering Sciences
Exact sciences and technology
Inverters
Microgrid control
Microgrid stability
Operation. Load control. Reliability
Port-Hamiltonian systems
Power electronics, power supplies
Power networks and lines
Power sharing
Smart grid applications
title Conditions for stability of droop-controlled inverter-based microgrids
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