A Survey on Environmental Economic Load Dispatch using Lagrange Multiplier Method

The Economic Load Dispatch (ELD) is one of the most important optimization problems from the view point of power system to derive optimal economy. Classically, it is to identify the optimal combination of generation level of all generating units which minimizes the total fuel cost while satisfying the load. These classical ELD formulations have been solved by various methods like Lagrange method, Newton’s method etc. As the time progresses, the environmental constraints are becoming foremost important in deciding the operation of thermal units. Therefore, conventional load dispatch problem has to be solved to find the generation level that minimize the cost or minimize the emission level or their combination subjected to load balance. Even the environmental emission can be taken as the constraints in cost optimization problem. Therefore, an efficient and diversified model is needed to handle the above variations in the problem.