Minimization of Frequency Deviations in Power Network by using majorant functions

TL;DR

This paper proposes analytical estimations and an optimization algorithm to improve frequency control in power networks, aiming to minimize deviations and enhance convergence by tuning control parameters.

Contribution

It introduces conservative estimations of frequency deviations and a zero-order optimization method for parameter tuning to improve power network stability.

Findings

Analytical bounds for frequency deviations are derived.

A zero-order optimization algorithm effectively adjusts control parameters.

Improved control efficiency reduces frequency deviations and enhances convergence.

Abstract

Frequency control in power networks is designed to maintain power balance by adjusting generation, what allows to keep frequency at its nominal value (i.e. 50 Hz). If power disturbance occurs, it leads to frequency oscillations and deviation form nominal value, that are suppressed by the control. Behavior of the existing control depends on a number of parameters, that are currently chosen form the set, that guarantees control stability. But they can be adjusted within that set to increase control efficiency. The two main factors, that define efficiency are maximal frequency deviations and frequency convergence rate to equilibrium point. However frequencies functions on buses are highly oscillatory and have infinite amount of extremum. The aim of this work is firstly to present analytical conservative estimations of absolute values of frequencies deviations, in order to approximate dependence of frequency behavior on the control parameters and secondly present zero order optimization algorithm that would improve system dynamics by adjusting control parameters.