Vector Programming Power Flow and Optimal Power Flow Algorithms

In this paper, we discuss vector programming approaches for power flow analysis and optimal power flow algorithms. These algorithms are critically important as they enable solutions to various problems in power system operations. Our implementation utilizes standardized IEEE test cases (4, 14, 30, 57, 118, and 300-bus systems) with comprehensive data packages and power flow computation programs. The algorithmic framework employs Newton-Raphson or fast-decoupled methods for power flow solutions, while optimal power flow implementations typically use linear programming or interior-point methods for constrained optimization. Through systematic experimentation and analysis, we gain deeper insights into power system behavior and establish foundations for further research. The data packages and computational programs have been meticulously designed and validated using MATLAB/Python implementations with proper initialization routines and convergence checks, ensuring accurate and reliable results. Key functions include bus admittance matrix formation, Jacobian matrix computation for power flow, and constraint handling for optimal power flow solutions. Researchers can confidently utilize these verified tools for power system studies, with the code structure supporting modular implementation of different algorithmic variations.