Historical data published on the Balancing Reporting Mechanism Service (BMRS) is available via the BMRA Data Archive on this site (formerly referred to as the "TIBCO Relay" Service).
A single flat file containing all the data for the previous day as well as four separate files for Final Point Notification (FPN), Maximum Import Limit (MIL), Maximum Export Limit (MEL) and System Sell and System Buy Price data is made available by 05:00 each morning.
You can use the portal to browse and download the available data, and the user guide also available here details how the data should be interpreted and processed.