Optimal Function Study of One-Cycle Control with Embedded Composite Function for Boost Converters

One-cycle control (OCC) is prized in power converter applications for its rapid dynamic response and effective disturbance suppression. While its core principle relies on the symmetry of the volt-second value of the inductor in each cycle, recent research shows that embedding a composite function can significantly expand the stable parameter domain of conventional OCC. This paper seeks to identify the optimal function for this enhancement. The logarithmic and arc-tangent functions are selected based on the required characteristics and analyzed using a state-space average model. Analysis of the stability boundaries demonstrates that with ln(u+1) embedded, the stability region of uref is effectively enlarged to more than 4uin. With tan−1u embedded, the stability region of uref is effectively enlarged to infinity. Therefore, embedding tan−1u can achieve optimal results, so it is considered the optimal function. This conclusion is conclusively validated by both simulation and experimental results.