I wouldn't worry about the resistance of the diodes; for a circuit like this it's usually enough to confirm the resistance is high on one direction and low in the other, showing the device is working. Measuring the actual resistance requires an experimental set-up measuring amps whilst the volts are accurately varied over a range. As semiconductors don't obey Ohm's Law, the result is a curve on a graph, not needed in this case.
How well or badly Glyn's circuit behaves depends on the properties of the components:
- The Solar Cells deliver 2W at 5V, that is a maximum of 0.4A each, 0.8A total.
- BAT41 diodes support a maximum of 100mA. Therefore diodes are at least eight times too small to cope with the maximum output of the solar cells, which is a risk
- An AA-size NiMh cell has a capacity of about 1900mAh. Three of them in series (4.6V) will charge reasonably well from a 5V solar cell so that's OK.
- The power requirement of Glyn's flickering yellow LED is unknown, but the small tea-light type run for a claimed 100hours on a CR2032 cell. As the capacity of a CR2032 is about 230mAh, the current drawn by the LED might only be 2.5mA. It would run for about 760 hours on a NiMh AA.
So, if Glyn is using a small LED, and the AA batteries are fully charged at the outset, there's a good chance in normal service that the batteries will never discharge to the point that the solar cells will exceed 100mA output.
All good, unless 'normal service' doesn't happen. If the NiMh batteries go flat in storage, or deteriorate with age, then their resistance will drop massively, causing the Solar Cells to deliver a heavy current, with a high risk of popping a BAT41. (Cells don't obey Ohm's Law either!)
The component values really depend on the current drawn by the flickering LED. In the good old days, LEDs rarely consumed more than a few tens of milliamps, but modern devices can be much more powerful. It would help to know how much current in drawn by Glyn's LED.
From a 'common-sense' perspective the circuit is reasonable, but the operating conditions need to be defined and the sums done. Here common-sense has delivered a solution likely to work, perhaps for years, but – assuming a small LED – there's risk of failure depending on how it's operated. For example, the diodes are likely to fail if the batteries go flat in storage and the unit is suddenly exposed to bright sunlight. Or they might survive if the solar cell output is limited by weak sunshine and the batteries recharge slowly. As always common-sense relies too much for comfort on luck – real engineers work to requirements, do the maths, and set specifications!
Doesn't matter for Glyn's purposes, but – again assuming the LED is small – on the face of it the Solar Panels and Battery are both over-engineered; bigger and more expensive than needed to do the job.
A professional designing a commercial product like this would start from the current requirement of the Lamp, from that decide the capacity of the battery (perhaps assuming long Scottish nights and short winter days rather than Florida), and derive the size of the solar panels needed to charge the battery in the target conditions. The diodes would probably be rated to take the maximum charging current drawn by a completely flat battery from a Solar Panel at peak output.
For cheapness, diodes are fine, but if the device requirement included long-life, then a more or less clever recharger of the type recommended by Bruce Edney would be used. They extend battery life considerably by matching charging volts and amps to the batteries ideal recharge cycle. A requirement for long-life, say the light on a life-jacket, would trigger a bunch of other specifications, such as water-proofing, liable to push the price up considerably. Daft to pay safety-critical equipment prices for a garden ornament, or to expect a garden novelty to last forever!
Dave
Edited By SillyOldDuffer on 11/07/2022 10:53:40