Economic Load Dispatch via Quadratic Programming Optimization

This section discusses economic load dispatch achieved through quadratic programming. Economic load dispatch represents a critical operation in power systems, focusing on optimal distribution of electrical loads while ensuring operational efficiency and system stability. We demonstrate the application of quadratic programming algorithms in economic load dispatch scenarios, highlighting their advantages in handling convex cost functions with quadratic constraints. The implementation typically involves formulating generator cost functions as quadratic equations (e.g., C(P) = aP² + bP + c) and solving using MATLAB's quadprog function with linear equality constraints for power balance and inequality constraints for generation limits. Key algorithmic considerations include Hessian matrix formulation for cost coefficients and gradient computation for linear terms. While quadratic programming offers computational efficiency for convex problems, limitations arise with non-convex generator characteristics requiring mixed-integer programming extensions. Additional discussions cover related topics like electricity market mechanisms incorporating dispatch results, and environmental considerations through emission constraint integration. Through comprehensive analysis of these aspects, we enhance understanding of economic dispatch's significance and contribute to optimized power system development.