Demand load management in the context of grid-connected microgrids is the scope of this paper. This issue is formulated as a power flow problem between distributed power sources with the objective of grid operational cost minimization. Under the assumption of time-varying demand loads at individual microgrids, a distributed algorithm of interactions among microgrids is proposed for power sharing within the grid. Numerical results demonstrate the outperformance of the proposed load management scheme in comparison with no power sharing scheme in terms of the grid operational cost.