This work aims to present and discuss an approach to restore the network electric equations solvability. The unsolvable power flow is modeled as a constrained optimization problem. The cost function is the least squares of the real and reactive power mismatches sum. The equality constraints are the real and reactive power mismatches at null injection buses and/or at those buses that must have their power demands totally supplied for technical or economical criteria. The mathematical model is solved by an algorithm based on the Augmented Lagrangian method considering the particular structure of the problem. Numerical results for a real equivalent system from the Brazilian South-Southeast region are presented in order to assess the performance of the proposed approach.