This paper explores the parallel operation of interleaved series-pass partial power processing (PPP) DC-DC converters, designed to enable ultra-fast charging of electric vehicles. A phase-shifted full-bridge (PSFB) converter topology, specifically configured for partial power operation, is utilized in this work. An Input-Parallel, Output-Parallel (IPOP) architecture of PSFB converters configured for partial power operation is proposed to enhance system scalability and reliability. A small-signal averaged model is derived to understand the dynamic behaviour of the converter in partial power mode, highlighting the influence of leakage inductance, transformer turns ratio, and battery impedance. Building on this model, a cascaded control structure consisting of inner current-loop controllers and a centralized outer voltage-loop controller is proposed to ensure accurate current sharing across modules while enabling seamless transitions between constant-current (CC) and constant-voltage (CV) charging modes.