Comparative Study of Popular Objective Functions for Damping Power System Oscillations in Multimachine System

Table 3

Comparative improvement in dominant modes for different objective functions.

Objective functions	Dominant modes eigenvalues	Damping ratio (𝜁)	Frequency (𝜔)
𝐽1	−𝟎.𝟕𝟏𝟖𝟎−3.8405𝑖	0.1838	0.6112
	−2.0831−10.7434𝑖	0.1904	1.7099
	−3.2354−17.3224𝑖	0.1836	2.7570
𝐽2	−𝟎.𝟕𝟑𝟕𝟔+4.0867𝑖	0.1776	0.6504
	−2.2613+12.3786𝑖	0.1797	1.9701
	−3.0685+17.0267𝑖	0.1774	2.7099
𝐽3	−1.6484−4.8225𝑖	0.3234	0.7675
	−2.6479+18.0621𝑖	0.1451	2.8747
	−𝟎.𝟕𝟒𝟐𝟏+18.5663𝑖	0.0399	2.9549
𝐽4	−2.7588−11.0712𝑖	0.2418	1.7620
	−4.4346+13.9203𝑖	0.3035	2.2155
	−2.7934+17.2958𝑖	0.1594	2.7527
𝐽5	−𝟏.𝟐𝟒𝟖𝟕−3.3262𝑖	0.3515	0.5294
	−2.5901−6.5999𝑖	0.3653	1.0504
	−3.8229−16.0199𝑖	0.2321	2.5496