Abstract— In this paper, a non-isolated quadratic and buck-boost converter based on the Zeta structure is proposed, and its operating principle and analysis of its steady-state is discussed. Also, the parameter design is presented, and on-idealities are considered in the power circuit to analyze – in detail – the real voltage gain and efficiency of the proposed converter. Moreover, a simulation prototype is implemented to validate the theoretical analysis, and a comparison of the proposed converter with other similar topologies and small-signal models is conducted. The results show that – unlike the classic buck-boost converters – the proposed converter has a positive output voltage and a quadratic voltage gain that is higher than the traditional Zeta converters. Also, it has advantages such as common ground characteristics between output/input voltage terminals, continuous input current, simple structure and high efficiency. Additionally, the voltage stresses across the power switches of the proposed converter are less than half of the output voltage or equal to the sum of the input and output voltages. Therefore, the low on-resistance power switches are employed to reduce power losses and improve efficiency. On top of that, the high quadratic voltage gain and positive output polarity features present the superiority of the proposed converter against other similar converters.