One of the main revolutions of the future power gird is the change of power source structure. The wide-spread integration of distributed energy resources bring severe challenges to the traditional dispatch and control framework. Cetre-free dispatch and control mechanism has become a trend for power system, especially active distribution network. State based potential game provieds a proper framework for establishing this mechanism. This paper studies a general design approach for distributed economic dispatch, which could not only tackle both the power balance constraint and power flow transfer limits, but also entail low communication and exchanged information, therefore it possesses robustness to the environment uncertainties and has values for engineering applications. Numerical studies based on IEEE 9 bus system has been verified the correctness and effectiveness of this approach.