arXiv (Cornell University)
Explicit formulas for the Variance of the State of a Linearized Power System driven by Gaussian stochastic disturbances
February 2023 • Xian Wu, Kaihua Xi, Aijie Cheng, Hai Xiang Lin, Jan H. van Schuppen, Chenghui Zhang
We look into the fluctuations caused by disturbances in power systems. In the linearized system of the power systems, the disturbance is modeled by a Brownian motion process, and the fluctuations are described by the covariance matrix of the associated stochastic process at the invariant probability distribution. We derive explicit formulas for the covariance matrix for the system with a uniform damping-inertia ratio. The variance of the frequency at the node with the disturbance is significantly bigger than the s…