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This paper presents the event-driven modeling and simulation of a DC/DC Buck-Boost converter that operates through parallel charging and series discharging of its inductors. Treated as a hybrid system with three physically realizable topologies, the model captures the complete switching dynamics through zero-crossing detection, overcoming the limitations of the conventional averaged model. Three control schemes are implemented and compared open-loop with pulse-width modulation (PWM), peak current mode control (PCMC), and PCMC with proportional-integral control and compensation ramp (PCMC-PI). The results, validated against specialized commercial software, demonstrate the correct operation of the converter and its model, which can be implemented in various applications where voltage amplification requires values up to 100 V. The model constitutes the basis for, as an example, a modular solar battery charging system with maximum power point tracking, which is proposed in future work.