Saddle-node bifurcation in the buck converter with constant current load

Occurrence or non-occurrence of saddle-node bifurcation in a buck converter with constant current load under current or voltage mode control is analyzed. The bifurcation critical conditions are derived. The required compensating ramp slope to avoid the bifurcation is also derived. The derived condition is useful to design a stable buck converter as a light emitting diode (LED) driver to avoid the bifurcation. The bifurcation occurs only in some control schemes. When the control scheme makes the converter operate like a current source, the bifurcation occurs. When the control scheme makes the converter operate like a voltage source, the bifurcation does not occur.