Forward-Backward Sweep Method

The Forward-Backward Sweep Method is a commonly used power system analysis technique for solving power flow problems in electrical networks. This algorithm involves establishing node and branch models of the power system, followed by iterative calculations to progressively determine voltage magnitudes and phase angles at each system node. The implementation typically requires handling node power balance equations, voltage balance constraints, and branch current balance conditions. In code implementation, the forward sweep calculates branch currents from leaf nodes to the root using Kirchhoff's Current Law, while the backward sweep computes voltage drops from the root to leaf nodes using Kirchhoff's Voltage Law. Key algorithmic components include: - Node admittance matrix formation - Convergence criteria handling (e.g., voltage tolerance checks) - Iterative power mismatch calculations - Radial network topology processing By employing the Forward-Backward Sweep Method, power system engineers can effectively analyze and resolve power flow distribution issues, thereby enhancing system stability and reliability. The method is particularly efficient for radial distribution systems due to its linear computational complexity relative to network size.