Abstract -This paper presents a new method t o solve the problem o f economic power dispatch with piecewise quadratic cost function using the Hopfield neural network. Traditionally one convex cost function for each generator is assumed. However, it is more realistic t o represent the cost function as a piecewise quadratic function rather than one convex function. In this study, multiple intersecting cost functions are used for each unit. Through case studies, we have shown the possibility o f the application of the Hopfield neural network t o the ELD problem with general nonconvex cost functions. The proposed approach is much simpler and the results are very close t o those of the numerical method.
A similar formulation of the problem is addressed by Park et al. REF with hopfield neural networks.