Robust Decentralized Exciter Control With Linear Feedback

Zečević, A.I.; Nešković, Gordana; Šiljak, D. D.

doi:10.1109/tpwrs.2004.825829

Cited by 81 publications

(52 citation statements)

References 17 publications

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“…The proof draws inspiration from [20], [21] and [22]. Analyzing (II.5) under control (III.2) and considering (II.4) together with (III.1) gives:…”

Section: Theorem 34mentioning

confidence: 99%

“…, using the Schur complement and pre-and postmultiplying with W i [22], we can rewrite the condition onV as the following bilinear matrix inequalities (BMI) in W i and…”

Section: Theorem 34mentioning

confidence: 99%

“…Opposed to standard droop control our approach does guarantee zero steady-state frequency deviation. The proposed design merges ideas from decentralized control for large power systems of SGs [20], [21], [22] (where stabilizing control laws have been derived for nonlinear models of power systems) and droop control ideas (that target the requirement of power sharing). At the technical level, this is achieved by solving a decentralized output feedback problem for a desired range of the power sharing gains (to be defined by the user).…”

Section: Introductionmentioning

confidence: 99%

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On power sharing and stability in autonomous inverter-based microgrids

Schiffer

Anta

Trung

et al. 2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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Abstract-We consider the problem of voltage and frequency stability for an autonomous inverter-based microgrid. An LMIbased decentralized feedback control design is derived that stabilizes the system under the consideration of droop-like controllers aiming to achieve power sharing among the different generation units. We provide a design procedure that accounts for uncertainties in line impedances and loads while guaranteeing zero steady-state frequency deviation.

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“…The proof draws inspiration from [20], [21] and [22]. Analyzing (II.5) under control (III.2) and considering (II.4) together with (III.1) gives:…”

Section: Theorem 34mentioning

confidence: 99%

“…, using the Schur complement and pre-and postmultiplying with W i [22], we can rewrite the condition onV as the following bilinear matrix inequalities (BMI) in W i and…”

Section: Theorem 34mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On power sharing and stability in autonomous inverter-based microgrids

Schiffer

Anta

Trung

et al. 2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

show abstract

“…• For every i; j 2 ; i 6 = j, connect vertex i to vertex j by means of a directed edge if any of the conditions given below is satisfied:…”

Section: Resultsmentioning

confidence: 99%

“…If the dynamics of the exosystem is not known, but it is known that it belongs to a prescribed family of functions, the so called internal-model principle allows to reconstruct in some way this lack of information (see [1] and [2] for linear and nonlinear systems, respectively). For instance, an internal-model based control is able to cope with uncertainties affecting the amplitude and phase of an exogenous sinusoid, but it requires the knowledge of the frequency; in order to overcome this limitation, in [3] an adaptation mechanism has been used so that the natural frequencies of the internal model are tuned to match those of the unknown exosystem.…”

Section: The Carleman Approximation Approach To Solve a Stochastic Nomentioning

confidence: 99%

Time Complexity of Decentralized Fixed Mode Verification

Sojoudi

Lavaei

Aghdam

2011

Structurally Constrained Controllers

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971choose the initial condition of the original system to ensure the boundedness of the trajectory x(t). Taking the initial condition and observer gain as x(0) = (00:4; 1; 00:7; 00:5) T ,x(0) = 0, L = (l 1 ; l 2 ) with l1 = (4; 4; 0; 0) T , l2 = (0; 0; 4; 4) T , we have the simulation result in Fig. 1. Simulation demonstrates local error dynamics stability and the ease of implementation of the observer using multiple time scales. Control, vol. 2, no. 3, pp. 176-192, 1996. Time Complexity of Decentralized Fixed-Mode Verification Javad Lavaei and Somayeh SojoudiAbstract-Given an interconnected system, this note is concerned with the time complexity of verifying whether an unrepeated mode of the system is a decentralized fixed mode (DFM). It is shown that checking the decentralized fixedness of any distinct mode is tantamount to testing the strong connectivity of a digraph formed based on the system. It is subsequently proved that the time complexity of this decision problem using the proposed approach is the same as the complexity of matrix multiplication. This work concludes that the identification of distinct DFMs (by means of a deterministic algorithm, rather than a randomized one) is computationally very easy, although the existing algorithms for solving this problem would wrongly imply that it is cumbersome. This note provides not only a complexity analysis, but also an efficient algorithm for tackling the underlying problem.

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Decentralized output-feedback stabilization for interconnected discrete systems with unknown delays

Mahmoud¹

2010

Optim. Control Appl. Meth.

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The decentralized feedback stabilization problem of a class of nonlinear interconnected discrete-time systems is considered. This class of systems has unknown-but-bounded state-delay and uncertain nonlinear perturbations satisfying quadratic constraints that are functions of the overall state and delayed state vectors. A decentralized output feedback scheme is proposed and analyzed such that the overall closed-loop system guarantees global delay-dependent stability condition, derived in terms of local subsystem variables. Incorporating feedback gain perturbations, new resilient decentralized feedback scheme is subsequently developed. The proposed approach is formulated within the framework of convex optimization over linear matrix inequalities. Simulation results illustrate the effectiveness of the proposed decentralized output-feedback controllers.

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Robust Decentralized Exciter Control With Linear Feedback

Cited by 81 publications

References 17 publications

On power sharing and stability in autonomous inverter-based microgrids

On power sharing and stability in autonomous inverter-based microgrids

Time Complexity of Decentralized Fixed Mode Verification

Decentralized output-feedback stabilization for interconnected discrete systems with unknown delays

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