Keywords: economic dispatch, emission dispatch, Maclaurin series, genetic algorithms, GAs, valvepoint loading, emission constraints, fuel costs, emissions
Emission constrained economic dispatch with valvepoint effect using Maclaurin seriesbased Lagrangian method
This paper presents Lagrangianbased technique to solve economic emission load dispatch (EELD) of valvepoint loaded generating units considering emission constraint. The EELD problem has gained recent attention due to the deregulation of power industry and environmental regulations. In this paper, two conflicting functions (fuel cost and emission) are considered and formulated as a single objective optimisation problem by the weighted sum method. Based on the literature survey, it is found that cost function is taken as a quadratic function and solved for emission economic dispatch. Here, in cost function, a sine term is added to model the valvepoint effect and an exponential term is used to model the emission function. Using Maclaurin series, the sine and exponential terms are expanded and solved with Lagrangian multiplier method. The objective function is highly nonlinear and the feasibility of the proposed method is validated with IEEE 30bus system and tenunit system. Results obtained with the proposed approach are compared with genetic algorithm.