| CPC B60L 58/19 (2019.02) [B60L 3/0046 (2013.01); B60L 58/21 (2019.02)] | 20 Claims |

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1. A battery system comprising:
a first positive terminal, a second positive terminal, and a negative terminal;
switches;
at least two battery modules, wherein each of the at least two battery modules includes at least three strings of battery cells, the at least three strings of battery cells configured to, at different times be:
connected in series and to the first positive terminal via first ones of the switches;
connected in parallel and to the second positive terminal via second ones of the switches; and
disconnected from both of the first and second positive terminals; and
a switch control module configured to:
during operation in a first power mode:
determine, using model predictive control based on SOCs of the strings, periods of phases, respectively; and
determine, using model predictive control based on the SOCs, periods for the strings, respectively, to be connected to the second positive terminal and the negative terminal during the phases;
during operation in a second power mode:
set the periods of the phases, respectively, to be equal in length; and
set the periods for the strings, respectively, to be equal in length; and
selectively actuate the switches based on the periods of the phases and the periods for the strings of battery cells.
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