Power System Optimization Model Using Economic Load Dispatch

Using Lagrange multiplier method with Karush-Kuhn-Tucker conditions, this paper presents a practical method for analyzing the economic load dispatch of a power system. We develop a model having twelve thermal generators with three different types of cost functions. Cost function curves are represented with quadratic equations. The simplified model has been frame in linear programming model and solved using Lagrangian relaxation technique. Several plausible cases have been studied and simulation results are analyzed to prove the effectiveness of the model. Optimal solution of power output from each generator is presented, regarding both cost functions in correlation to different values of load demand. After the optimization the improvement on production cost is accounted to be 16.77% and on LMP is 1.33% over provided generating unit's data. These significant results are important decision support outline for power system market operator and associated stakeholder.