Add an auxiliary voltage to a buck regulator
John Betten, Texas Instruments, Dallas, TX -- 10/31/2002

You often need more than one regulated output voltage in a
system. A frequently used and reasonably simple way to create this auxiliary
output voltage is to add a second winding to the output inductor, creating a
coupled inductor or a transformer, followed by a diode to rectify (peak-detect)
this output voltage. The biggest drawback of this approach is that the diode's
voltage drop varies with temperature and load current and can have a 2-to-1
variation, resulting in poor output-voltage regulation. This problem be-comes
more critical as output voltages decrease and may require the addition of a
linear regulator. The circuit shown in Figure 1 is an alternative approach that replaces this diode with Q2, a p-channel FET. The circuit works as follows:
During the conduction time of FET Q1, the voltage across the primary winding of transformer T1
clamps to the voltage, VOUT+VF1, where VF1
is the voltage drop across FET Q1. Through transformer action, the voltage on the secondary winding of inductor L1
is equal to the turns ratio between the windings times the voltage across the primary winding. The output capacitor on the auxiliary output, V02, then charges to the peak of the secondary-winding voltage. FET Q2
turns off when Q3
turns back on to prevent the output capacitor from discharging. The secondary voltage floats; you can add it to the main output voltage by tying one end of the secondary winding to the main output. You can also tie it to ground for an output voltage lower than V01, if desired. The equation that defines the auxiliary-output voltage for the circuit in Figure 1 is:

The second half of this equation represents a voltage-error term between FETs Q1 and Q2. To cancel out the error attributable to the FET voltage drops, you need to make the voltage drop of FET Q2 equal to VF2=VF1×(NS/NP), where NS/NP is the transformer's turns ratio. Because these FET voltages are a function of the output currents and the on-resistance of the FETs, you can select the on-resistance of FET Q2 by using the following equation:

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