Analytical solution for output voltage ripple coefficient of BOOST converter

For a better engineering design, the paper is concerned primarily with the study of analytical solutions for output voltage ripple coefficient and the required minimum capacitance of BOOST converter using the relative inductance as an independent variable. Taking diode current as a current source, the analytical equation of output capacitor voltage is derived based on KCL. The output voltage ripple and its coefficient are calculated in three working modes. Furthermore, based on the analytical solution for OVRC, the analytical solution for the required minimum capacitance is presented. Both simulation and experiment are carried out, and results are obtained to verify the research. The achievements of this are able to be used in BOOST converter optimal design.