  In this paper we present a new analysis of energy consumption in cellular
networks. We focus on the distribution of energy consumed by a base station for
one isolated cell. We first define the energy consumption model in which the
consumed energy is divided into two parts: The additive part and the broadcast
part. The broadcast part is the part of energy which is oblivious of the number
of mobile stations but depends on the farthest terminal, for instance, the
energy effort necessary to maintain the beacon signal. The additive part is due
to the communication power which depends on both the positions, mobility and
activity of all the users. We evaluate by closed form expressions the mean and
variance of the consumed energy. Our analytic evaluation is based on the
hypothesis that mobiles are distributed according to a Poisson point process.
We show that the two parts of energy are of the same order of magnitude and
that substantial gain can be obtained by power control. We then consider the
impact of mobility on the energy consumption. We apply our model to two case
studies: The first one is to optimize the cell radius from the energetic point
of view, the second one is to dimension the battery of a base station in sites
that do not have access to permanent power supply.
