In this paper, three meta-heuristic techniques have been developed to propose a safe and economic grounding system for the future power plant of Labreg situated in Khenchela city (400km east of Algiers). The corresponding algorithms have been elaborated using particle swarm optimization (PSO), genetic algorithm optimization (GAO) and hybrid particle swarm genetic algorithm optimization (HPSGAO). The aim is to minimize the cost of the considered grounding system basing on the optimal decision of its construction and geometrical parameters in accordance with the security restrictions required by the ANSI/IEEE Std. 80-2000. A new mathematical model has been proposed for the cost function. This later includes number of conductors, conductor dimension, grid depth, number of rods, length of rods, total area of excavation and revetment. Results show that HPSGAO technique presents lower values of the cost than those obtained using GAO and PSO methods. The good accordance between HPSGAO technique safety parameters and CYMGrd code ones confirms the efficiency of proposed algorithms.