Low frequency oscillations appear when a small disturbance occurs in an interconnected multi-machine power system and becomes one of the major subjects concerning in power system studies. Due to small disturbances, power systems experience these poorly damped low-frequency oscillations. In the dynamic electrical power system stability, the positive damping oscillation is very important. By using the optimum gains that obtained from Riccati matrix method, these oscillations can be well damped and hence the system stability is enhanced. Riccati matrix method is used to enhance better system stability in damping oscillation power system. This research presents a design of a single machine to an infinite bus (SMIB) with additional optimum gain from Riccati matrix method to enhance the dynamic stability of power systems by improving the damping of the low frequency oscillations. Eigenvalues analysis and time domain analysis are applied to the overall system. MATLAB Simulink is used to design a Riccati matrix method to enhance the damping characteristic of power system to improve its stability. The dynamic simulations results are presented to show the effectiveness and robustness of the designed Riccati matrix method. Analysis and simulation have proved the effectiveness of a Riccati matrix method in order to improve the electrical power system dynamic stability.
