This paper presents a new algorithm and computation approach to solve the economic load dispatch (ELD) in electrical power systems. We applied a new power formula to solve the LLD problem. If production units cost Curves are represented property then ELD becomes More Correct. In this respect we assumed that production units have prohibited operating zones. Cost curves of the production units are generally accepted as piece-wise quadratic function. The power production is cheaper since we do not use the production units ill the prohibited operating zones. The proposed method and algorithm are compared to other ELD methods oil the standard test systems. The proposed method solve the dispatch problem faster than the other ELD methods.