Non-linear analytic approaches of power flow analysis and voltage profile improvement

Power-flow analysis or load flow analysis is a numerical analysis of the flow of electric power in an interconnected system. The goal of this analysis is to obtain complete information of angle and magnitude of voltage for each bus in a power system for specified load and generator real power and voltage conditions. Once the required information is achieved, real and reactive power flow on each branch as well as generator reactive power output can be analytically determined. Due to the nonlinear nature of this problem, numerical methods are employed to obtain a solution within an acceptable tolerance. In this paper, Gauss-Seidel, Newton-Raphson and Fast-Decoupled methods are compared with respect to their performances, convergence rates and outputs for IEEE 14 bus system. Further, fact controllers i.e., static VAR compensator for improvement in the voltage profile is also designed and implemented and a comparison will also be drawn between the voltage profiles with or without the absence of fact controllers.