3.0 RESULTS AND DISCUSSION
This research examines the performance of an uncontrolled system with
low damping ratio, focusing on the Electromechanical Mode (EM) and Trace
(B𝐹1) eigenvalues. The damping ratio is improved by striping eigenvalues
and solving the popular Lyapunov equation. The control mechanism is
tested using computer Simulink, with the best response found to be ̵̶̶
20.53 and ̵̶̶ 10.98 (Fig: 3.2 to 3.3). The proposed controller effectively
dampens low frequency oscillations under normal operating conditions.
The system’s first input is a unit phase input from the controller, and
it provides effective oscillation damping to sudden shocks. The
controller can be adjusted by changing the rotor angle, mounting more
flywheels, and connecting additional reactance at the generator
terminal. The results demonstrate the effectiveness of the proposed
adaptive controller in the presence of parameter changes can be shown in
Fig. 3.3.
The eigenvalues of the uncontrolled system, where the Ammatrix displays eigenvalues, are examined first in the inquiry.
Λ(A) = [−0.0114 ± j0.8019, − 0.1951, − 0.0572, − 0.0772 ± j0.1146, −
0.274, −13.70]
The first two eigenvalues stand for the electromechanical mode (EM),
which is mostly related to rotor oscillations. Here is the formula for
determining the damping ratio in this mode: