Final answer:
To design a step-up DC-to-DC boost converter, you need to calculate the values of the inductor (L) and the output capacitor (C) based on the given specifications. The inductance (L) can be calculated using the input voltage (Vs) and the switching frequency (f), and the output capacitor (C) can be calculated using the output voltage ripple (ΔVo) and the switching frequency (f). Once you have these values, you can simulate the final circuit using any Spice-based program to verify its performance.
Step-by-step explanation:
To design a step-up DC-to-DC boost converter, we need to calculate the values of the inductor (L) and the output capacitor (C) based on the given specifications. Here's how we can calculate them:
- Calculate the output current (Io) using the load power (Po) and the output voltage (Vo): Io = Po/Vo = 10 W / 24 V = 0.4167 A.
- Calculate the average inductor current (Iavg) using the output current and the variation in inductor current: Iavg = Io / (1 + ΔIL / 2) = 0.4167 A / (1 + 0.4 / 2) = 0.2976 A.
- Calculate the inductance (L) using the input voltage (Vs) and the switching frequency (f): L = (Vs × D) / (f × ΔIL) = (12 V × 0.6) / (100 kHz × 0.4 × 0.2976 A) = 0.539 μH.
- Calculate the output capacitor (C) using the output voltage ripple (ΔVo) and the switching frequency (f): C = (Io × ΔVo) / (f × ΔVo) = (0.4167 A × 0.01) / (100 kHz × 24 V × 0.01) = 1.736 μF.
Once you have these values, you can simulate the final circuit using any Spice-based program to verify its performance.