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: