Frequency Control of Power Systems under Uncertain Disturbances Based on
Input-Output Finite-Time Stability
Abstract
In modern power systems, the randomness and uncertainty of the
generation and loads greatly increase the balance discrepancy between
the power supply and demand, which introduces major potential security
hazards to the stable operation of power systems. In particular,
out-of-bounds frequencies emerge. To control the system frequencies, a
frequency control method based on the state space model for power
systems under small, uncertain disturbances is proposed in this paper.
Considering the general model of the power system frequency response
with the aim of improving the input‒output finite-time stability of the
system, the frequency deviation of the power system is controlled in a
closed loop. The Monte Carlo simulation of different systems shows that
the proposed method can effectively control the frequency deviation of
the power system. When the closed-loop system is disturbed by uncertain
power fluctuations, its frequency will always remain within the
allowable range to ensure the secure and stable operation of the power
system.