Power Flow Program for 33-Node System Using Forward-Backward Sweep Method

This power flow program is specifically designed for 33-node systems and employs the forward-backward sweep method, demonstrating strong practical applicability. The algorithm effectively solves power flow problems in electrical systems, addressing voltage magnitude, phase angle, and current distribution under steady-state conditions. Power flow calculation serves as the foundation for power system analysis, making this method crucial for research and analytical purposes in electrical engineering. The implementation involves iterative forward and backward sweeps through the network topology. During the forward sweep, the program calculates branch currents starting from the terminal nodes toward the root node, while the backward sweep computes node voltages from the root node outward to the endpoints. For the 33-node system analysis, the method derives equations governing voltage profiles, phase angles, and current distribution across all nodes, ultimately determining the complete power flow distribution pattern. Key computational aspects include node admittance matrix formulation, convergence criteria handling, and power mismatch calculations. The forward-backward sweep method proves particularly efficient for radial distribution systems, making it an indispensable tool in modern power system analysis with implementation advantages in MATLAB/Python environments using sparse matrix operations and iterative solvers.