Multi-time Scale Stability Analysis of Boost Inverter Based on Floquet Theory

With the rapid development and application of clean energy, photovoltaic power generation has become a research hotspot. Where, the two-stage boost inverter is an important topology due to the low cost and high efficiency. However, due o the first stage is a DC-DC converter and the second stage is a DC-AC inverter, therefore, the two-stage boost inverter is a multi-time scale system, whose stability analysis is still a difficulty. In this paper, a Floquet based multi-time scale stability analysis is firstly proposed for this kind of boost inverter, the time domain model of the boost inverter is established firstly, and the steady solution for this time domain model is deduced by using harmonic balance method, further, the Floquet theory is adopted to judge the stability of the multi-time scale boost inverter. Finally, the simulation results is given to validate the correctness of the proposed method. The proposed method provides a new choice for multi-time scale power converters systems.