Conditions for stability of droop-controlled inverter-based microgrids

By Johannes Schiffer, Romeo Ortega, Alessandro Astolfi, Jörg Raisch, Tevfik Sezi. at - Automatisierungstechnik, 2014

447 citations recorded by the source corpus.

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 Reseaux Electriques) benchmark medium voltage distribution network.

Subfields: Control and Systems Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/284ffc4b37ce5e2e62677111c3c93ecd32600ac1

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Citations in the corpus

Distributed Secondary Voltage and Frequency Restoration Control of Droop-Controlled Inverter-Based Microgrids (2015, background): “More detailed justification can be seen in [19] and [20].”
Voltage Stability and Reactive Power Sharing in Inverter-Based Microgrids With Consensus-Based Distributed Voltage Control (2016, background): “4 Then, an inverter at node i ∈ N can be represented as [6], [13]”
Foundations and Challenges of Low-Inertia Systems (Invited Paper) (2018, background): “Results on frequency stabilization via decentralized nonlinear droop control are presented [67], [69], [71].”
Understanding Small-Signal Stability of Low-Inertia Systems (2021, background): “A more general and rigorous approach towards synchronization and stability analysis of droop-based microgrids is taken in [15]–[17], where the appropriate conditions for synchronization, power sharing and voltage stability of droop-controlled inverters in islanded microgrids have been derived.”
Synchronization in complex networks and its application - A survey of recent advances and challenges (2014, methodology): “Owing to the emergence of microgrids in nowaday power grids, it becomes more important to utilize the droop controller to avoid circulating currents among the converters without using any critical communication (Guerrero et al., 2011; Schiffer et al., 2014; Simpson-Porco et al., 2013).”