This document summarizes research on using a STATCOM with hysteresis control to improve power quality on a power grid. It discusses how STATCOM can mitigate issues like voltage sags, swells, harmonics and reactive power fluctuations by supplying or absorbing reactive power as needed. The key aspects covered include: 1) Design of the DC capacitor and PI controller used in the STATCOM. 2) Using hysteresis current control and fuzzy logic control techniques to generate switching signals for the STATCOM. 3) Simulation results showing improved voltage profile and reduced harmonics with STATCOM during faults. 4) Conclusion that fuzzy logic control provides better damping and transient response than PI control for STATCOM applications.