Abstarct: Today, with the growth of population, the need for energy is more necessary than before, therefore, due to the reduction and harm of non-renewable energy sources, the use of new and renewable energy has been considered by communities. Proper analysis and control of these resources is very important for further utilization of new energies to supply energy to consumers. In this study, the focus is on optimizing the droop characteristic to improve the dynamic behavior of an independent microgrid. In this regard, a system consisting of two distributed generation sources are connected to common loads through inverter, filter, coupling inductance and line impedance. The microgrid design is performed baxsed on the droop characteristic. Then, to study the behavior of the microgrid, baxsed on the differential equations in the state space, at first the small signal model of all network components is determined separately and then by combining the equations, state space model of whole system is determined. A general matrix of the system is presented to investigate the system eigenvalues to droop coefficients and the proportional and integral coefficients of voltage and current controllers. By determining the effective parameters, to optimize the system behavior, an optimization method to optimize the values of droop characteristic coefficients and effective proportional integral coefficients of voltage and current controllers baxsed on a combined objective function consisting of two objective functions of two different type is presented. by different weighting coefficients, the results are examined and the behavior of the system will be evaluated according to the optimized coefficients. The optimization tool used for the optimization operation is a particle swarm algorithm (PSO). Evaluate the results to see the performance of the proposed model in MATLAB Simulixnk software.