Syzygies
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For your consideration, here is a $1.30 charging circuit to go inside a PIMETA (or anywhere else one sees fit).
My design goal is to use 8 AAA cells, and be able to charge either from an iPod power supply or from a generic 15V wall wart. Short of building a full-blown fast charge controller such as Tangent's NiMh Battery Board, there are two standard ideas for trickle chargers: A three component LM317 charging circuit providing constant current, or a single component resistor charging circuit providing a current that decreases as the battery voltage rises.
With an LM317, there is a minimum voltage overhead of 1.6V for the regulator itself, plus 1.25V for the resistor that follows, and another 0.8V for the protection diode. Trickier-to-use low dropout regulators can reduce the 1.6V, I have designed fancier resistor networks that can reduce the 1.25V, and a Schottky diode can reduce the 0.8V. Nevertheless, it is impossible to charge 8 AAA cells from an iPod power supply using any variation of such a circuit, because we don't have enough voltage overhead.
A resistor circuit poses the opposite problem: They're great if you tune them perfectly for a given power supply, but your batteries will fry if you connect them too long to a higher voltage source. Here, a simple resistor circuit would rule out the option of using a generic 15V wall wart.
I should note that Tangent doesn't like resistor charge circuits. I hang on his every word that I can actually understand, but here I cannot fathom what his objection is. It's not like the batteries are "Yo-Yo diving", the charge curve has all of its derivatives monotone, and is far gentler than a fast charge that suddenly becomes a trickle charge. I've had great luck using resistor charge circuits; their utter simplicity makes me feel like a fool for having played around so long with LM317 resistor networks.
Here is the simplest schematic I can think of that solves the design problem I've posed here:
The resistor values are scaled to end up with a C/12.5 charge rate for AccuPower 1000mAh AAA cells, and would have to be increased to lower the current, for smaller capacity cells.
A representative parts list could be:
Wire Wound Resistors - Cement filled Ceramic
Xicon 5W 5% Cement Power Resistors 5 OHMS 5% TOL
Mouser Part #: 280-CR5-5.0, $0.39
Wire Wound Resistors - Cement filled Ceramic
Xicon 5W 5% Cement Power Resistors 15 OHMS 5% TOL
Mouser Part #: 280-CR5-15, $0.39
Central Semi Diodes*DO-201 12V 5.0W
Mouser Part #: 610-CZ5349B, $0.52
5 watts is of course massive overkill here, but distributes the heat very well. If you lower the watts to save weight, then do the heat and watt calculations.
If you're comfortable just solving the equations, then do so, and please don't let my graphical description of the circuit irritate you. Otherwise, one can understand this circuit in terms of the following graphic, which enables me to solve these equations while in the shower or driving:
In this graphic, width is resistance and height is voltage, so steeper slopes are higher currents.
The top dot on the left is an ideal 15V voltage source. The two lower dots on the left model different iPod power supplies, as ideal voltage sources followed by resistors. If anyone can provide me with more data points here, I'd be very appreciative. Before building this, you should certainly measure your iPod power supply to see if it behaves anything like either of mine.
The scale on the right is the per-cell voltage seen across a charging battery of 8 AAA cells. In my experience at room temperature with trickle charges, they tend to peak at 1.45V per cell. (Tangent models using 1.55V per cell for his fast charging circuit, which is different.)
To understand the current through a resistor charging circuit, stretch a rubber band between the battery voltage and the power supply, and read off the slope. This is exactly what the equations also say (if one takes the trouble to include a model for the power supply, which matters here), choose the approach that you find more comfortable.
Putting a Zener diode in the circuit is like hammering a nail into the middle of the graphic. The rubber band is forced to bend around the nail, protecting the battery from too high a current when using higher voltage power supplies.
As a bonus, the Zener diode serves to protect the amplifier capacitors. If someone takes out the batteries (or one comes loose) and turns the amp on while connected to a power supply, the voltage passed to the amp is limited by the Zener diode. I can safely use 16V caps, and a "15V nominal" power source that could be over 16V.
Here is how I plan to use this circuit, between two RadioShack 4 AAA holders, in a Hammond J16 case sawed down to nearly the size of a J12. The RadioShack battery holders are slightly smaller that any similar holder sold through the usual internet suspects; I doubt anything else will actually fit:
My design goal is to use 8 AAA cells, and be able to charge either from an iPod power supply or from a generic 15V wall wart. Short of building a full-blown fast charge controller such as Tangent's NiMh Battery Board, there are two standard ideas for trickle chargers: A three component LM317 charging circuit providing constant current, or a single component resistor charging circuit providing a current that decreases as the battery voltage rises.
With an LM317, there is a minimum voltage overhead of 1.6V for the regulator itself, plus 1.25V for the resistor that follows, and another 0.8V for the protection diode. Trickier-to-use low dropout regulators can reduce the 1.6V, I have designed fancier resistor networks that can reduce the 1.25V, and a Schottky diode can reduce the 0.8V. Nevertheless, it is impossible to charge 8 AAA cells from an iPod power supply using any variation of such a circuit, because we don't have enough voltage overhead.
A resistor circuit poses the opposite problem: They're great if you tune them perfectly for a given power supply, but your batteries will fry if you connect them too long to a higher voltage source. Here, a simple resistor circuit would rule out the option of using a generic 15V wall wart.
I should note that Tangent doesn't like resistor charge circuits. I hang on his every word that I can actually understand, but here I cannot fathom what his objection is. It's not like the batteries are "Yo-Yo diving", the charge curve has all of its derivatives monotone, and is far gentler than a fast charge that suddenly becomes a trickle charge. I've had great luck using resistor charge circuits; their utter simplicity makes me feel like a fool for having played around so long with LM317 resistor networks.
Here is the simplest schematic I can think of that solves the design problem I've posed here:
The resistor values are scaled to end up with a C/12.5 charge rate for AccuPower 1000mAh AAA cells, and would have to be increased to lower the current, for smaller capacity cells.
A representative parts list could be:
Wire Wound Resistors - Cement filled Ceramic
Xicon 5W 5% Cement Power Resistors 5 OHMS 5% TOL
Mouser Part #: 280-CR5-5.0, $0.39
Wire Wound Resistors - Cement filled Ceramic
Xicon 5W 5% Cement Power Resistors 15 OHMS 5% TOL
Mouser Part #: 280-CR5-15, $0.39
Central Semi Diodes*DO-201 12V 5.0W
Mouser Part #: 610-CZ5349B, $0.52
5 watts is of course massive overkill here, but distributes the heat very well. If you lower the watts to save weight, then do the heat and watt calculations.
If you're comfortable just solving the equations, then do so, and please don't let my graphical description of the circuit irritate you. Otherwise, one can understand this circuit in terms of the following graphic, which enables me to solve these equations while in the shower or driving:
In this graphic, width is resistance and height is voltage, so steeper slopes are higher currents.
The top dot on the left is an ideal 15V voltage source. The two lower dots on the left model different iPod power supplies, as ideal voltage sources followed by resistors. If anyone can provide me with more data points here, I'd be very appreciative. Before building this, you should certainly measure your iPod power supply to see if it behaves anything like either of mine.
The scale on the right is the per-cell voltage seen across a charging battery of 8 AAA cells. In my experience at room temperature with trickle charges, they tend to peak at 1.45V per cell. (Tangent models using 1.55V per cell for his fast charging circuit, which is different.)
To understand the current through a resistor charging circuit, stretch a rubber band between the battery voltage and the power supply, and read off the slope. This is exactly what the equations also say (if one takes the trouble to include a model for the power supply, which matters here), choose the approach that you find more comfortable.
Putting a Zener diode in the circuit is like hammering a nail into the middle of the graphic. The rubber band is forced to bend around the nail, protecting the battery from too high a current when using higher voltage power supplies.
As a bonus, the Zener diode serves to protect the amplifier capacitors. If someone takes out the batteries (or one comes loose) and turns the amp on while connected to a power supply, the voltage passed to the amp is limited by the Zener diode. I can safely use 16V caps, and a "15V nominal" power source that could be over 16V.
Here is how I plan to use this circuit, between two RadioShack 4 AAA holders, in a Hammond J16 case sawed down to nearly the size of a J12. The RadioShack battery holders are slightly smaller that any similar holder sold through the usual internet suspects; I doubt anything else will actually fit: