Formerly in the literature, a new interleaved-based boost converter was devised for multiple input voltage sources purposes. Nevertheless, when only a single input voltage source is connected to the 2-phase version of this converter, it can be seen as a compact interleaved boost with voltage multiplier (cIBVM). A brief description of cIBVM operation as well as the ideal modeling are already discussed in the literature for one specific range of duty-cycle. In this paper, we provide further analysis by considering the conduction and dynamic losses on the analytical model with a single voltage source. Moreover, we also obtained the analytical model considering the entire duty-cycle range showing that the converter can perform either a quadratic, a double or even a symmetric voltage gain depending solely on the switching strategy adopted. The analytical model was obtained using state-space representation and both its accuracy and the effectiveness of the results were validated from a Simulink-based cross validation and a complete sequence of experimental tests. INDEX TERMS DC-DC converters, high step-up conversion ratio, multiple operation modes.