This work centers on robust compensating function scheme for adequate electrical power system stabilization. There has been high level of disturbances in the power line and lack of adequate compensation technique to cancel the effects of the resultant instability which has caused power failures. The problem was addressed by the consideration of disturbances in the power line during the design of the compensating function for the improvement of the power system performance and stability. H-Infinity synthesis robust compensating function design method was used to design an adequate compensator that can improve the performance and stability of the power system.  From the results, the H-infinity Synthesis Controlled Generating Plant (HCGP) recorded an overshoot of 0%, settling time of 1.04 seconds, tracking error of 0dB, gain margin of 21.7dB and phase margin of 79.6 degrees. The simulation was repeated by varying the value to k to -0.3, and the generating plant produced same results. This shows that the system can maintain performance and stability equilibrium even when there is change in its parameters. Since the HCGP satisfied the performance and stability robustness, therefore it was concluded that power system robust compensating function scheme for improved performance and stability robustness was achieved using H-Infinity synthesis method.

When a fault on a transmission line manifests itself, the reliability of the power system is often compromised. It is advantageous to be able to stop certain faults from happening or to identify their causes when they do. The system may be quickly returned to its regular functioning condition by knowing the location of any possible line faults. This study proposes a method for fault localization based on travelling waves. This technique makes use of the currents and voltages coming from the line, as well as the speed of propagation, capacitance, inductance, the length of the transmission line, and the change in time that the fault occurs, in order to locate the specific site of the problem. The Onitsha to New/Haven 96 km transmission line was employed as a case study, and Matlab/Simulink was used to model, simulate, and apply the travelling wave fault detection equation. After simulating several fault sequences, the locations of the single line to ground fault, double line to ground fault, line to line fault, and three phase fault were found to be 48.539625306645 km, 48.539625261133 km, 48.539624540792 km, and 48.539625285965 km, respectively.