How to Calculate the Inductance of a Buck Converter
Release time:
2021-11-09
The inductor design in the buck circuit is critical, and it is closely related to the system efficiency, output voltage ripple (∆VOUT) and loop stability. This article will use MPQ2314 as an example to illustrate how to calculate the inductance of the buck converter, as well as other key parameters, such as inductor temperature rise current, saturation current DC resistance, operating frequency and magnetic loss.
The inductor design in the buck circuit is critical, and it is closely related to the system efficiency, output voltage ripple (∆VOUT) and loop stability. This article will use MPQ2314 as an example to illustrate how to calculate the inductance of the buck converter, as well as other key parameters, such as inductor temperature rise current, saturation current DC resistance, operating frequency and magnetic loss.
How the Buck Topology Works
In the buck topology, the working state of the upper tube (Q1) is divided into two processes: an inductor charging mode and an inductor discharging mode. In the inductor charging mode, Q1 is turned on, the inductor current (IL) increases, the inductor stores energy, and the output capacitor is charged. In the inductor discharging mode, Q1 is turned off, IL decreases and the inductor releases energy.
According to the relationship between the voltage and current at both ends of the inductor, the inductance (L) can be calculated, such as formula (1):
$$V = L \times dl / dt$$
where the voltage across the inductor is VIN-VOUT, dI is peak-to-peak IL(∆IL) (usually the maximum output current IOUT) 10% to 60%),dt is the on-time of Q1, which can be calculated by formula (2):
$$dt = D \times t_{sw}$$
The energy storage state of the inductor when Q1 is turned on can be analyzed by the formula (1).
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