Distributed integral action: Stability analysis and frequency control of power systems

Andreasson, Martin; Sandberg, Henrik; Dimarogonas, Dimos V.; Johansson, Karl Henrik

doi:10.1109/cdc.2012.6426463

Cited by 57 publications

(43 citation statements)

References 16 publications

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“…1. In the present case, M −1 L with L as defined in (13) has only real eigenvalues at the chosen equilibrium point. Thus, by Proposition 4.7, the microgrid synchronizes for initial conditions around the desired oper- ating point if Assumption 4.5 holds.…”

Section: Power Sharingmentioning

confidence: 99%

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

Schiffer

Goldin

Raisch

et al. 2013

52nd IEEE Conference on Decision and Control

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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Section: Power Sharingmentioning

confidence: 99%

“…Second order consensus algorithms have been used to study synchronization of harmonic oscillators [12] and have recently also been applied to frequency restoration in conventional power systems [13].…”

Section: Introductionmentioning

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

110

View full text Add to dashboard Cite

show abstract

“…We extend the distributed frequency controller proposed in [10] to also minimize a quadratic generation cost function, besides regulating the bus frequencies towards a reference frequency under unknown load changes. We derive sufficient conditions based on the eigenvalues of the system matrix under which the power system is asymptotically stable.…”

Section: Introductionmentioning

confidence: 99%

Distributed vs. centralized power systems frequency control

Andreasson

Dimarogonas

Johansson

et al. 2013

2013 European Control Conference (ECC)

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Abstract-This paper considers a distributed control algorithm for frequency control of electrical power systems. We propose a distributed controller which retains the reference frequency of the buses under unknown load changes, while asymptotically minimizing a quadratic cost of power generation. For comparison, we also propose a centralized controller which also retains the reference frequency while minimizing the same cost of power generation. We derive sufficient stability criteria for the parameters of both controllers. The controllers are evaluated by simulation on the IEEE 30 bus test network, where their performance is compared.

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“…In reality, many practical individual systems, especially mechanical systems, can be presented as second-order multi-agent systems; for instance, networks of mass-spring systems [27], coupled pendulum systems [28], harmonic oscillators [29] and frequency control of power systems [30]. In [21], the authors pointed out that the existence of a directed spanning tree is a necessary rather than a sufficient condition to reach the second order consensus.…”

Section: Introductionmentioning

confidence: 99%

Consensus of Second Order Multi-Agent Systems with Exogenous Disturbance Generated by Unknown Exosystems

Zhang

Zhu

Liu

2016

Entropy

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This paper is concerned with consensus problem of a class of second-order multi-agent systems subjecting to external disturbance generated from some unknown exosystems. In comparison with the case where the disturbance is generated from some known exosystems, we need to combine adaptive control and internal model design to deal with the external disturbance generated from the unknown exosystems. With the help of the internal model, an adaptive protocol is proposed for the consensus problem of the multi-agent systems. Finally, one numerical example is provided to demonstrate the effectiveness of the control design.

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Distributed integral action: Stability analysis and frequency control of power systems

Cited by 57 publications

References 16 publications

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

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

Distributed vs. centralized power systems frequency control

Consensus of Second Order Multi-Agent Systems with Exogenous Disturbance Generated by Unknown Exosystems

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