These days, rising energy costs along with general concerns about major environmental issues (global warming, climate change), result in more and more strict production constraints for the industrial sector, which is known to be the first energy consumer and greenhouse gas emitter in the world. There is therefore a growing industrial need to address the problems of production systems related to energy aspects.In this paper, a job-shop scheduling problem with energetic aspects is considered. The objective is to minimize production costs in terms of energy, while respecting a power peak limitation, along with more traditional production constraints. Two integer linear programming models are proposed for the addressed problem. In order to evaluate and compare the performance of these formulations, computational experiments are presented and numerical results are discussed and analysed.