Economic Dispatch (ED) is an important aspect in any power system. The conventional methods for solving ED include Lambda-Iterative, Newton-Raphson, Quadratic programming (QP), etc. However, conventional method cannot solved non quadratic function. The input-output characteristics of a generator produced highly non-linear leading so its challenging non-convex and non-smooth optimization problem. In this paper, combine QP and Particle Swarm Optimization (PSO) to solve economic dispatch with valve point effect. The initial PSO population is obtained from the QP. The convergence of QP-PSO has a good performance and near global minimum.