Papers › Fundamental limitations on the control of lossless systems
Fundamental limitations on the control of lossless systems
Johan Lindberg, Richard Pates
In this paper we derive fundamental limitations on the levels of H₂ 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 H₂ 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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