Stability Analysis of DC-DC Converters with Energy Balance Control

With variation of parameters, DC-DC converters may change from a stable state to an unstable state, which severely degrades the performances of the converter system. In this article, by establishing the state-space average model, the stability and bifurcation of a boost and a buck-boost converter with energy balance control (EBC) is studied, respectively. Then the stability boundary and stable parameter domains are accurately predicted. The obtained stability region provides a parameter regulating range for converter design. Furthermore, compared with the one-cycle control (OCC) method, the EBC possesses an extended stable parameter domain, while avoiding unstable behaviors such as Hopf bifurcation, Quasi-periodic Oscillation even chaos, etc. The theoretic analysis is well validated through simulation and experiment.