Here is some information regarding power consumption of the STM32F4 System-On-Module (SOM). All numbers listed in this note are mA @ 3.3V.

Here are some measurements from various practical Linux configurations running on the STM32F4 SOM:

SOM Configuration	Test	Power Consumption
SOM-STM32F4-xETH	Linux running shell on serial console Linux idle at serial console	79
SOM-STM32F4	Linux running shell on serial console Ethernet enabled Linux copying a file from a development host over NFS	140
SOM-STM32F4	Linux running shell on serial console Ethernet enabled Linux idle at serial console	106

To provide an upper limit on possible power consumption of the module, here is the Theoretically Calculated Max Power Consumption of the STM32F4 System-On-Module (SOM-STM32F4 variant).