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Emission constrained economic dispatch with valve–point effect using Maclaurin series–based Lagrangian method

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This paper presents Lagrangian–based technique to solve economic emission load dispatch (EELD) of valve–point 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 valve–point 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 non–linear and the feasibility of the proposed method is validated with IEEE 30–bus system and ten–unit system. Results obtained with the proposed approach are compared with genetic algorithm.

Keywords: economic dispatch, emission dispatch, Maclaurin series, genetic algorithms, GAs, valve–point loading, emission constraints, fuel costs, emissions

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