Electric vehicles charging stations requires huge amounts of power from the grid, what can be alleviated with battery energy storage systems. Two-Level converter is the preferred topology for commercial BESS, but this topology do not offer modularity for the energy storage stage. This work proposes a parallelized Modular Multilevel Converter with partially rated storage systems with an overall control scheme that governs independently the active power reference of each BESS-SMs. The proposed control allows the operation with any amount of Dummy-SMs, which are SMs with floating capacitors in their DC-link without battery energy storage unit. This feature allows the converter to keep operating under batteries faults or disconnection, facilitating the integration of 2nd life batteries to BESS-SMs with different degradation levels. The intra-power balance and the control of the capacitors voltage of Dummy-SMs, is achieved through an hybrid sorting of carriers made in the modulation stage, where LS-PMW is used. This hybrid control strategy, allows the converter to operate each of its SMs as BESS or Dummy, depending of the connection or disconnection of its BESS.