Improving performance of droop-controlled microgrids through distributed PI-control

Tegling, Emma; Andreasson, Martin; Simpson-Porco, John W.

doi:10.1109/acc.2016.7525264

Cited by 32 publications

(71 citation statements)

References 28 publications

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“…Having validated (34), we now derive the exponential bound (33). By the Comparison Lemma, the use of convolution integral and bounding η(t) 2 by η(·) 2 ∞ , we arrive at…”

Section: Robustness Analysismentioning

confidence: 99%

Robust Decentralized Secondary Frequency Control in Power Systems: Merits and Tradeoffs

Weitenberg

Yan

Zhao

et al. 2019

IEEE Trans. Automat. Contr.

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Frequency restoration in power systems is conventionally performed by broadcasting a centralized signal to local controllers. As a result of the energy transition, technological advances, and the scientific interest in distributed control and optimization methods, a plethora of distributed frequency control strategies have been proposed recently that rely on communication amongst local controllers. In this paper we propose a fully decentralized leaky integral controller for frequency restoration that is derived from a classic lag element. We study steadystate, asymptotic optimality, nominal stability, input-to-state stability, noise rejection, transient performance, and robustness properties of this controller in closed loop with a nonlinear and multivariable power system model. We demonstrate that the leaky integral controller can strike an acceptable tradeoff between performance and robustness as well as between asymptotic disturbance rejection and transient convergence rate by tuning its DC gain and time constant. We compare our findings to conventional decentralized integral control and distributedaveraging-based integral control in theory and simulations.Erik Weitenberg received the B.Sc. degree in mathematics and the M.Sc. degree in mathematics with a specialization in algebra and cryptography from the University of Groningen, The Netherlands, in 2010 and 2012 respectively. He is currently working toward the Ph.D. degree in control of cyber-physical systems at Univeristy of Groningen. His current research interests include stability and robustness of networked and cyber-physical systems, with applications to power systems.Yan Jiang is currently working toward the Ph.D. degree at the Department of Electrical and Computer Engineering and the M.S.E.

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“…Having validated (34), we now derive the exponential bound (33). By the Comparison Lemma, the use of convolution integral and bounding η(t) 2 by η(·) 2 ∞ , we arrive at…”

Section: Robustness Analysismentioning

confidence: 99%

Robust Decentralized Secondary Frequency Control in Power Systems: Merits and Tradeoffs

Weitenberg

Yan

Zhao

et al. 2019

IEEE Trans. Automat. Contr.

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“…Recalling the fact that CL1 J = 0 J , the above equation is equivalent to (8). Next, we investigate under which conditions power sharing can be achieved with the control (4) in the presence of clock drifts.…”

Section: Steady-state Behaviour Of Distributed Secondary Control mentioning

confidence: 99%

“…Consensusbased exchange of the internal frequencies is not included, i.e., C = 0 J×J . Thus, supposing that the system (5) admits a synchronised motion, condition (8) in Lemma 1 reduces to…”

Section: A Pinning Gain At All Units No Consensus-based Exchange Ofmentioning

confidence: 99%

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Steady state evaluation of distributed secondary frequency control strategies for microgrids in the presence of clock drifts

Krishna

Hans

Schiffer

et al. 2017

2017 25th Mediterranean Conference on Control and Automation (MED)

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©2017 IEEE. This is an author produced version of a paper published in Proceedings of 25th Mediterranean Conference on Control and Automation. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Uploaded in accordance with the publisher's self-archiving policy.eprints@whiterose.ac.uk https://eprints.whiterose.ac.uk/ Reuse Unless 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.Steady state evaluation of distributed secondary frequency control strategies for microgrids in the presence of clock drifts* Abstract-Secondary frequency control, i.e., the task of restoring the network frequency to its nominal value following a disturbance, is an important control objective in microgrids. In the present paper, we compare distributed secondary control strategies with regard to their behaviour under the explicit consideration of clock drifts. In particular we show that, if not considered in the tuning procedure, the presence of clock drifts may impair an accurate frequency restoration and power sharing. As a consequence, we derive tuning criteria such that zero steady state frequency deviation and power sharing is achieved even in the presence of clock drifts. Furthermore, the effects of clock drifts of the individual inverters on the different control strategies are discussed analytically and in a numerical case study.

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“…If M i = 0 for a bus i ∈ V, then a Kron-reduced network containing only nodes with inertia can be obtained. The second assumption of constant damping has been previously used in [1], [10]. When it is not satisfied, the stability metric defined in the next section does not enjoy a closed-form expression, and only bounds can be derived.…”

Section: A Dynamic Power System Modelmentioning

confidence: 99%

Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation

Bhela

Deka

Nagarajan

et al. 2019

2019 American Control Conference (ACC)

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The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a variety of stability metrics, a unified framework based on the H2-norm of the system is presented. The proposed framework assesses the robustness of power grids to small disturbances and is used to study the optimal placement of new lines on existing networks as well as the design of radial (tree) and meshed (loopy) topologies for new networks. Although the design task can be posed as a mixed-integer semidefinite program (MI-SDP), its performance does not scale well with network size. Using McCormick relaxation, the topology design problem can be reformulated as a mixed-integer linear program (MILP). To improve the computation time, graphical properties are exploited to provide tighter bounds on the continuous optimization variables. Numerical tests on the IEEE 39-bus feeder demonstrate the efficacy of the optimal topology in minimizing disturbances.

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Improving performance of droop-controlled microgrids through distributed PI-control

Cited by 32 publications

References 28 publications

Robust Decentralized Secondary Frequency Control in Power Systems: Merits and Tradeoffs

Robust Decentralized Secondary Frequency Control in Power Systems: Merits and Tradeoffs

Steady state evaluation of distributed secondary frequency control strategies for microgrids in the presence of clock drifts

Designing Power Grid Topologies for Minimizing Network Disturbances: An Exact MILP Formulation

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