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arXiv · 2206.11636

Fundamental limitations on the control of lossless systems

Johan Lindberg·Richard Pates
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Abstract

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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Johan Lindberg, Richard Pates. 2022-06-23. Fundamental limitations on the control of lossless systems. https://arxiv.org/abs/2206.11636

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