Local and inter-area oscillations in bulk power systems are typicallyidentified using spatial profiles of poorly damped modes, and they aremitigated via carefully tuned decentralized controllers. In this paper, weemploy non-modal tools to analyze and control inter-area oscillations. Ourinput-output analysis examines power spectral density and varianceamplification of stochastically forced systems and offers new insights relativeto modal approaches. To improve upon the limitations of conventional wide-areacontrol strategies, we also study the problem of signal selection and optimaldesign of sparse and block-sparse wide-area controllers. In our design, wepreserve rotational symmetry of the power system by allowing only relativeangle measurements in the distributed controllers. For the IEEE 39 New Englandmodel, we examine performance tradeoffs and robustness of different controlarchitectures and show that optimal retuning of fully-decentralized controlstrategies can effectively guard against local and inter-area oscillations.
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机译：大容量电力系统中的本地和区域内振荡通常使用阻尼较弱的模式的空间轮廓来识别，并通过仔细调整的分散控制器来缓解。在本文中，我们采用非模态工具来分析和控制区域间振荡。我们的输入输出分析检查了随机受力系统的功率谱密度和方差放大，并提供了与模态方法相关的新见解。为了改善常规广域控制策略的局限性，我们还研究了信号选择以及稀疏和块稀疏广域控制器的优化设计问题。在我们的设计中，通过仅允许在分布式控制器中进行相对角度测量，我们保留了电源系统的旋转对称性。对于IEEE 39 New England模型，我们研究了不同控制体系结构的性能折衷和鲁棒性，并表明完全分散控制策略的最佳调整可以有效地防止局部和区域间的振荡。
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