Gauss-Seidel and Newton-Raphson Power Flow Calculation Using MATLAB

This article explores the implementation of Gauss-Seidel and Newton-Raphson power flow calculations using MATLAB. These numerical methods are essential for determining node voltages and phase angles in electrical power systems, providing critical insights into system operation and stability. The approach employs the Gauss-Seidel Newton iterative technique to solve nonlinear power flow equations inherent in power system modeling. The MATLAB implementation typically involves: - Initializing system parameters (bus admittance matrix, load/generation data) - Implementing iterative solvers with convergence criteria - Calculating power mismatches and Jacobian matrix updates for Newton-Raphson - Handling swing bus (slack bus) and voltage-controlled bus constraints Through these algorithms, we achieve more accurate predictions of system stability and fault tolerance capabilities, thereby enhancing grid security and operational reliability. The computational intensity of these methods requires appropriate software/hardware support, with MATLAB providing optimized matrix operations and visualization tools for power system analysis. This implementation enables deeper understanding of power system dynamics and supports more precise operational forecasting and safeguards. Key MATLAB functions often utilized include: - Matrix operations for Y-bus formation - While/for loops with tolerance checks for convergence - Polar-to-rectangular coordinate conversions - Jacobian matrix computation using partial derivatives - Power mismatch calculations at each iteration