How much power does OSD335x use?

Power consumption of OSD335x depends highly on usage scenarios. The OSD335x-BAS/IND Power Application Note and Software Power Management with the OSD335x Family application notes will give you detailed information about OSD335x power consumption in various operating states.

Other helpful resources  are:

1. AM335x Power Consumption Summary: This wiki page provides current and power measurements for common system application usage scenarios. However, these measurements were made for a presently unsupported version of SDK. Updated power consumption data can be found here.
2. Power Estimation Tool: This entails modifying and submitting a spreadsheet specifying processor mode and peripheral usage of AM335x. Login to TI website is required and the results will be emailed to the email address used to login.