An on-board power supply system (100) for a vehicle, comprising a battery pack (10) with a plurality of battery cells (2), at least one sub-grid (20, 30) which can be coupled to the battery pack (10) via contactors (SH+, SH−, SL+, SL−), and a control unit configured to in an initial calibration mode with open contactors (SH+, SH−, SL+, SL−):
- measure cell voltages (UZ) of the individual battery cells (2);
- calculate a pack voltage (UP) of the battery pack (10) using the measured cell voltages (UZ);
- measure a pack voltage (UP) of the battery pack (10);
- and
- calculate a first correction factor for the pack voltage (UP) using the calculated pack voltage (UP) and the measured pack voltage (UP).