Abstract: In order to solve the energy loss problem of the new energy connected to the large power grid，economic dispath is an effective method to realize fast economic dispatch of generating units with conventional energy． Considering the existence of power systems with multiple energy sources，an economic dispatch model of power systems with transmission loss is established． Based on the extended Lagrange-Hopfield neural network optimization algorithm，the multiplier neuron transmission rate parameter is introduced，and the improved extended Lagrange-Hopfield neural network algorithm is proposed． The convergence of the algorithm is proved theoretically，and the algorithm has fast convergence speed． Taking a project as an example， different transmission rate parameters are selected to verify that the property of the improved augmented Lagrange-Hopfield neural network algorithm is affected by transmission rate parameters． The method is feasible in engineering application and can converge rapidly．

Key words: economic dispatch, transmission loss, neural network, energy function