With growing the penetration level of distributed generators, increasing of microgrids leads to born a new structure of power grids named interconnected microgrids. Thus, new challenges such as frequency control while power is exchanged between microgrids are introduced. This study is focused on providing a simplified model for load-frequency control in interconnected microgrids. State-space equations are used for this simplification. The final model describes an interconnected microgrids frequency response framework which is suitable for study on frequency control analysis and synthesis. Both original and simplified models are tested in MATLAB environment and the results showed that the simplified model can operate as well as the original model. Finally, the obtained frequency response model is realized and fitted to a load-frequency control block diagram structure.