Sparsity-Promoting Optimal Wide-Area Control of Power Networks

Inter-area oscillations in bulk power systems are typically poorly controllable by means of local decentralized control. Recent research efforts have been aimed at developing wide-area control strategies that involve communication of remote signals. In conventional wide-area control, the control str...

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Bibliographic Details
Published in:IEEE transactions on power systems 2014-09, Vol.29 (5), p.2281-2291
Main Authors: DörIer, Florian, Jovanović, Mihailo R., Chertkov, Michael, Bullo, Francesco
Format: Article
Language:English
Subjects:
Alternating direction method of multipliers
Architecture
Coherence
Control systems
Design engineering
Generators
inter-area modes
Mathematical model
Networks
Optimal control
Oscillations
Oscillators
Power system dynamics
Robustness
Sparsity
sparsity-promoting control
Strategy
Uncertainty
wide-area control
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Summary:Inter-area oscillations in bulk power systems are typically poorly controllable by means of local decentralized control. Recent research efforts have been aimed at developing wide-area control strategies that involve communication of remote signals. In conventional wide-area control, the control structure is fixed a priori typically based on modal criteria. In contrast, here we employ the recently-introduced paradigm of sparsity-promoting optimal control to simultaneously identify the optimal control structure and optimize the closed-loop performance. To induce a sparse control architecture, we regularize the standard quadratic performance index with an l 1 -penalty on the feedback matrix. The quadratic objective functions are inspired by the classic slow coherency theory and are aimed at imitating homogeneous networks without inter-area oscillations. We use the New England power grid model to demonstrate that the proposed combination of the sparsity-promoting control design with the slow coherency objectives performs almost as well as the optimal centralized control while only making use of a single wide-area communication link. In addition to this nominal performance, we also demonstrate that our control strategy yields favorable robustness margins and that it can be used to identify a sparse control architecture for control design via alternative means.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2014.2304465