Large scale distributed systems (high performance computing centers, networks, data centers) are expected to consume huge amounts of energy. In order to address this issue, shutdown policies constitute an appealing approach able to dynamically adapt the resource set to the actual workload. However, multiple constraints have to be taken into account for such policies to be applied on real infrastructures: the time and energy cost of switching on and off, the power and energy consumption bounds caused by the electricity grid or the cooling system, and the availability of renewable energy. In this paper, we propose models translating these various constraints into different shutdown policies that can be combined for a multi-constraint purpose. Our models and their combinations are validated through simulations on a real workload trace.