Buck Converter Design

Buck converter operation principle animation

On this page are presented basic design equations of the buck converter. Below the equations there
is an interactive online simulation circuit along with component selection steps. In addition to basic components the
circuit also contains eventual parasitic elements of the main converter components.

Key equations:

Continuous conduction mode (CCM):

Current ripple ratio : $r=\frac{I_{L_{ripple}}}{I_o}$

Voltage conversion ratio : $V_{o}=(V_{i}-V_{DS_{Q1}})*D-V_{D1}*(1-D)$

RMS current in input capacitor: $I_{C_{in}}=I_o*\sqrt{D*(1-D+\frac{r^2}{12})}$

RMS current in inductor: $I_{L1_{RMS}}=I_o*\sqrt{(1+\frac{r^2}{12})}$

RMS switch current: $I_{Q1_{RMS}}=I_o*\sqrt{D*(1+\frac{r^2}{12})}$

Average current in Diode: $I_{D1_{AVG}}=I_o*(1-D)$

Inductor curent ripple: $I_{L_{ripple}}=\frac{V_o+V_{D1}}{L*f_s}*(1-D)$

Output voltage ripple: $\frac{1}{2*C_o}*\frac{V_{i_{max}}-V_{o}}{L}*(\frac{V_o}{V_{i_{max}}}*\frac{1}{f_s})^2+I_{L_{ripple}}*ESR_{C_o}$

Suggested reading:
1. Buck-Converter Design Demystified
2. Understanding Buck Power Stages in Switchmode Power Supplies
3. Switching Power Supply Design and Optimization

Delicious Save this on Delicious

Open project to simulate circuit, see "Notes" for component selection info - the circuit is simulatable online