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.