Optimal Power Flow Program Using Central Trajectory Following Interior Point Method

This program implements optimal power flow using the central trajectory following interior point method to achieve economic dispatch with minimal active power loss. The algorithm employs primal-dual interior point techniques with predictor-corrector steps to efficiently solve the nonlinear optimization problem. Key functions include power flow equations formulation, constraint handling for generator limits and voltage boundaries, and objective function minimization for system losses. The program has been tested using the IEEE 14-bus network benchmark, which includes 14 nodes, 5 generators, and 11 loads. The implementation features robust convergence criteria and sensitivity analysis for system parameters. Through optimization of power system operations, the program ensures efficient power distribution, reduces energy waste, and improves energy utilization rates. By utilizing advanced optimization algorithms and accurate network modeling, the program can precisely predict power system load demands and power flow distribution. This capability assists power companies in making informed decisions, ultimately enhancing system stability and reliability. The code structure includes modular components for power flow calculation, constraint management, and optimization iteration loops with comprehensive error handling.