On power sharing and stability in autonomous inverter-based microgrids

Schiffer, Johannes; Anta, Adolfo; Trung, Truong Duc; Raisch, Jörg; Sezi, Tevfik

doi:10.1109/cdc.2012.6426704

Cited by 32 publications

(35 citation statements)

References 30 publications

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“…Recalling (35) and the fact that R(x) ≥ 0, we see that to prove asymptotic stability it suffices to show thatalong the trajectories of the system (32) -the implication…”

Section: Resultsmentioning

confidence: 99%

“…Under the assumption of constant voltage amplitudes, analytic synchronization conditions for a lossy meshed microgrid with distributed rotational and electronic generation are derived in [36] using ideas from second order consensus algorithms. A decentralized LMI-based control design for lossy meshed inverter-based networks guaranteeing overall network stability for a nonlinear model considering variable voltage amplitudes and phase angles, while accounting for power sharing, is provided in [35].…”

Section: Introductionmentioning

confidence: 99%

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Conditions for stability of droop-controlled inverter-based microgrids

Schiffer¹,

Ortega²,

Astolfi³

et al. 2014

Automatica

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384

367

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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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“…Recalling (35) and the fact that R(x) ≥ 0, we see that to prove asymptotic stability it suffices to show thatalong the trajectories of the system (32) -the implication…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Conditions for stability of droop-controlled inverter-based microgrids

Schiffer¹,

Ortega²,

Astolfi³

et al. 2014

Automatica

Self Cite

384

367

View full text Add to dashboard Cite

show abstract

“…In that regard, and under the assumption of constant voltage amplitudes, analytic synchronization conditions for a lossy meshed microgrid with distributed rotational and electronic generation are derived in Schiffer et al (2013) using ideas from second order consensus algorithms. A decentralized LMI-based control design for lossy meshed inverter-based networks guaranteeing overall network stability for a nonlinear model considering variable voltage amplitudes and phase angles is provided in Schiffer et al (2012).…”

Section: Introductionmentioning

confidence: 99%

Stability of Synchronized Motions of Inverter–Based Microgrids Under Droop Control

Schiffer

Astolfi

Raisch

et al. 2014

IFAC Proceedings Volumes

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ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. Rome, Italy (e-mail: a.astolfi@ic.ac.uk) * * * * Max-Planck-Institut für Dynamik komplexer technischer Systeme, Germany (e-mail: raisch@control.tu-berlin.de) 3 Siemens AG, Germany (e-mail: tevfik.sezi@siemens.com) Stability of Synchronized Motions of Abstract:We consider the problems of frequency stability, voltage stability and power sharing in droop-controlled inverter-based microgrids with meshed topologies and dominantly inductive power lines. Assuming that the conductances in the microgrid can be neglected, a portHamiltonian description of a droop-controlled microgrid is derived. The model is used to establish sufficient conditions for local stability. Furthermore, we propose a condition for the controller parameters such that a desired steady-state active power distribution is achieved. The robustness of the stability condition with respect to the presence of conductances is analyzed via a simulation example based on the CIGRE benchmark medium voltage distribution network.

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“…flywheel, battery), it can increase and decrease its power output in a certain range. Then, an inverter with constant voltage amplitude and frequency droop control (6) can be modelled as [22] δ…”

Section: Modelling Of An Mdregmentioning

confidence: 99%

Synchronization of droop-controlled microgrids with distributed rotational and electronic generation

Schiffer

Goldin

Raisch

et al. 2013

52nd IEEE Conference on Decision and Control

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110

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Abstract-We consider the problem of frequency synchronization and power sharing in a lossy droop-controlled autonomous microgrid with distributed rotational and electronic generation (MDREG). At first, we establish equivalence of the dynamics of a regulated synchronous generator and a droopcontrolled inverter with low pass filter. We then give a necessary and sufficient condition for local synchronization of the microgrid by using ideas from graph theory and second order consensus algorithms. In addition, we show that sources in an MDREG can achieve a desired active power distribution via frequency droop control and provide synchronization conditions for a lossless microgrid as a special case. Our analysis is further validated via a simulation example of a lossy microgrid based on the CIGRE benchmark medium voltage distribution network.

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On power sharing and stability in autonomous inverter-based microgrids

Cited by 32 publications

References 30 publications

Conditions for stability of droop-controlled inverter-based microgrids

Conditions for stability of droop-controlled inverter-based microgrids

Stability of Synchronized Motions of Inverter–Based Microgrids Under Droop Control

Synchronization of droop-controlled microgrids with distributed rotational and electronic generation

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