2022/06/23 by Johan Lindberg, Lindberg, Johan, Richard Pates +1
Engineering · Mathematics · #FOS: Electrical engineering #Numerical methods for differential equations #Power System Optimization and Stability #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2206.11636
openalex publication_date 2022/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.