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[Engineering Essentials]
Stop The Waste In Your Battery-Charger Conversion
As portable devices add functionality, the ability to recharge their batteries—and do so without wasting additional energy—becomes more important.

David Gunderson  |   ED Online ID #18317  |   March 13, 2008


SINGLE-SWITCH CONVERTER
There are several variations of SMPStopology chargers. The two most common are the single-switch converter (Fig. 3) and the synchronous switched converter (Fig. 4). Switched-mode converters work by varying the duty cycle (% on versus off) of the control switch (usually a MOSFET). An LC circuit filters this signal to produce the dc output. Current is measured by the voltage across RS:

VOUT = pulse-width modulation (PWM) duty cycle (D) × VIN

The waste heat dissipation is calculated by:

Dissipation = (D × RDS(ON) × IBAT2) + ((1– D) × VDIODE × IBAT) + ((RS + RIdc) × IBAT2) + TL

where TL (transition loss) depends on the MOSFET capacitance, drive efficiency, and switching frequency. Transition loss calculation is complex and relatively small for low switching frequencies.

So for the aforementioned 0.8-A charge current example targeted at the linear regulator, a FET with 0.02-O RDS(ON), a diode with 0.9-V forward drop, and an inductor with 0.002-O dc resistance results in:

D = (3.8 × 2)/12 = 0.63
Dissipation = (0.63 × 0.02 × 0.64) + (0.37 × 0.9 × 0.8) + ((0.47 + 0.002) × 0.64) = 0.008 + 0.27 + 0.3 = 0.58 W

Efficiency is 91% for 0.8-A charge current. If the charge current is 2 A, the loss increases to 3.3 W, and the efficiency is 83%.

The first loss factor is the on-resistance of the FET multiplied by the duty cycle percentage and the square of the current. Careful selection of a low on-resistance FET can minimize this factor. Yet “careful” is the operative word. As the charge current increases, RDS(ON) loss goes up with the square of the current. So at 2 A, the current factor is 4, but at 4 A, it increases to 16!

The second main loss factor is the loss across the commutating diode. This diode provides a current path to the output when the control switch is off. To minimize loss in this circuit, select a control FET with minimum RDS(ON), a diode with minimum forward voltage drop, and ensure that the duty cycle is high so the FET loss dominates. Consequently, on this type of charger, the input voltage should be only a bit higher than the maximum output voltage.

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