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Fundamental limitations on the control of lossless systems

2022-06-23Code Available0· sign in to hype

Johan Lindberg, Richard Pates

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Abstract

In this paper we derive fundamental limitations on the levels of H_2 and H_ 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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