This paper proposes a revised Lambda-Gamma algorithm applied to the solution of a short-term hydrothermal planning problem. It is a Lambda-Gamma algorithm, which, in addition to the Newton-Raphson method for solving the coordination equations, also specifies the direction of adjustment of the Lambda and Gamma parameters according to the convergence conditions. This gives it the particularity of being more explicit, detailed and easy to implement. Next, the performance of this revised algorithm is compared with that of the Newton-Raphson Approximate algorithm for hydrothermal planning. From this comparison, it is found that the proposed algorithm outperforms and is more robust than the approximate Newton-Raphson algorithm given its convergence to a global minimum even when the practical constraints of generator power limits are taken into account. In addition, the conformity of the results obtained with those of the literature, allowed to validate the algorithm.