Sparsity-Promoting Optimal Wide-Area Control of Power Networks

作者：Doerfler Florian; Jovanovic Mihailo R; Chertkov Michael; Bullo Francesco

来源：IEEE Transactions on Power Systems, 2014, 29(5): 2281-2291.

DOI：10.1109/TPWRS.2014.2304465

• Alternating direction method of multipliers
• inter-area modes
• sparsity-promoting control
• wide-area control

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.

• 出版日期2014-9