Phase Model with Feedback Control for Power Grids
Tatsuma Matsuo, Hidetsugu Sakaguchi

TL;DR
This paper models power grid dynamics using a phase model with feedback control, demonstrating improved stability and failure prevention through local feedback proportional to generator output.
Contribution
It introduces a novel local feedback control method for power grids that enhances stability and prevents overload failures, supported by analysis and comparison with global feedback.
Findings
Failures are avoided until near full utilization ratio.
Temporal response to input power variations is suppressed.
Local feedback control improves grid stability.
Abstract
A phase model with feedback control is studied as a dynamical model of power grids. As an example, we study a model network corresponding to the power grid in the Kyushu region. The standard frequency is maintained by the mutual synchronization and the feedback control. Electric failures are induced by an overload. We propose a local feedback method in which the strength of feedback control is proportional to the magnitude of generators. We find that the electric failures do not occur until the utilization ratio is close to 1 under this feedback control. We also find that the temporal response for the time-varying input power is suppressed under this feedback control. We explain the mechanisms using the corresponding global feedback method.
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