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Mobile devices that are permanently connected to IP networks are prone to have higher energy consumptions because unsolicited packets also force the device to move to a state where the consumption is higher. We consider a simplified model for the energy consumption based on the average consumptions in the different states and the time the device stays in each state. We perform discrete event simulations to obtain the energy consumption for different traffic scenarios and the simulation results are then fitted with simple models. We find that they give a relatively good description of the energy consumption behavior as a function of the T2 timer. Also, our results are consistent with measurements of the energy consumption for a mobile device connected to 3G networks with high or low data traffic profile.