IEEE 33-Bus Power Flow Algorithm Implementation
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Resource Overview
MATLAB implementation for IEEE 33-bus system using forward-backward sweep method with matrix decomposition approach
Detailed Documentation
To solve the IEEE 33-node power system, we employ the forward-backward substitution method implemented in MATLAB. This algorithm involves decomposing the system of equations into lower triangular (L) and upper triangular (U) matrices through LU decomposition. The forward substitution phase solves L*y = b by iterating from the first equation to the last, while the backward substitution phase solves U*x = y by iterating from the last equation to the first. Key MATLAB functions used include lu() for matrix decomposition and custom iterative solvers for handling the triangular systems. The method ensures numerical stability and computational efficiency when dealing with large-scale power system matrices, enabling accurate modeling and analysis of power flow distributions, voltage profiles, and system losses for optimal power system performance validation.
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