论文标题

控制无损系统的基本限制

Fundamental limitations on the control of lossless systems

论文作者

Lindberg, Johan, Pates, Richard

论文摘要

在本文中,我们得出了$ H_2 $和$ h_ \ infty {} $性能的基本限制,这些{} $性能在控制无损系统时可以实现。结果应用于摇摆方程电源系统模型,在该模型中,该模型表明,$ H_2 $规范尺度的基本限制与系统中惯性的谐波平均值相反。这表明,随着更多的可再生能源的整合,电力系统可能会看到性能下降,进一步促使人们需要新的控制解决方案来帮助能源过渡。

In this paper we derive fundamental limitations on the levels of $H_2$ and $H_\infty{}$ performance that can be achieved when controlling lossless systems. The results are applied to the swing equation power system model, where it is shown that the fundamental limit on the $H_2$ norm scales with the inverse of the harmonic mean of the inertias in the system. This indicates that power systems may see a degradation in performance as more renewables are integrated, further motivating the need for new control solutions to aid the energy transition.

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