Thanks for that little addition Tony.
Below is a chart of electronic efficiency vs motor voltage is based on tests that Stan Woithe in South Australia undertook a little while ago. These were done before the Easymax unit was around. I'd imagine that this unit would be somewhere close to the Boxhill unit.
To answer your questions with regards to gear ratios (and wheel sizes), like Tony mentioned, it really depends on what kind of solar panel you've got.
If you have a higher voltage panel with a lower current, it would be more suited to a higher gear ratio since the extra volts will mean that the motor (and therefore the wheel) will be able to spin faster. For this set up, too low a gear ratio would require more current and therefore result in a lower motor voltage and greater losses. Too low a gear ratio would also slow car acceleration.
On the other hand if you have a lower voltage panel with a higher current (or just a lower powered panel), a lower gear ratio would be required since there are less volts to work with. For this set up, too high a gear ratio will mean that the motor voltage will approach the panel's open circuit voltage, or exceed the max power voltage at which the power begins to drop off.
Because the electronics efficiency begins to level out towards higher motor voltages I wouldn't put too much emphasis on trying to get the perfect gear ratio (in terms of electronics) for a particular condition - all you have to do is be in the right area. You will only ever gain 1 or 2 percent in electronics efficiency (if at all) above a certain voltage and there are a lot of other things that are far more important to the overall performance of the car. No load motor losses also come into the mix of things with increasing motor rpm and will may in fact outweigh any increases in the efficiency of the electronics.
Remember all setups will still be subjected to the low power at the low voltage end of the spectrum at the start of a race. Just make sure you that you don't remain in this region.
As long as your setup doesn't drop off at the high end too much either (some top speed might be sacrificed for better acceleration) then there shouldn't be a problem.
I suggest that you go with a ratio of somewhere around 6:1 ratio with a 50 to 55mm wheel diameter (or the equivalent speed reduction) for most of your races if you are running with 14V to 15V max power voltage panel or similar (this is what I had).
The 6:1 ratio that I have was originally used for the older faulhaber 2233 4.5 volt motor that I had, but this had a smaller torque constant and higher speed constant than the new 2232 6V that replaced it so a 5:1 may actually be the way to go in good sunlight (or you could increase your panel voltage). I don't think that there will be a great deal of difference over 1 lap, but there may however be some difference over 2 laps, depending on the type of panel or electronics and conditions.
To maximise the overall efficiency of the cars in lower sunlights a gear change may be worth looking at but if, and to what extent, you will get an improvement in performance remains to be seen. The type of electronics that are being used will influence this result. It would probably be easiest to just run some on-track tests.
You can roughly calculate what kind of gear ratio would best suit a given sunlight by using your panel voltage, wheel size, motor speed constant and approximating your top speed in those conditions.
With the setup that I used, a gear change to an 8:1 when the sun drops to below maybe 40% would bring the motor voltage back up and closer to the panel's max power voltage again. Similarly a 10:1 would do the same for sunlights below maybe 15-20%.
As mentioned a little earlier, these changes should improve electronics efficiencies and lower resistive losses. The increase in motor rpm and no load motor losses must however also be considered.
It would certainly be worth going to a higher gear ratio if the cars are beginning to really struggle up the hill but those kind of conditions are not seen all that often at an event.
One risk that you take when changing gears (as occurs when you are running without electronics) is that you might gear for bad sunlight but then have the sun suddenly come out. This is particularly bad as you will then max out and have a much lower top speed. Being geared a bit on the low side is certainly better then on the high side.
I created a simulator based on some of Ian Gardner's 10 dicksmith cell panel (the type of panel that I used) dynamomter results in my last year of competition and it turned out that a gear ratio of around 5:1 to 6:1 for that type of panel was pretty close on the money. I still have the simulator and will be getting it up on the web once I get an accompanying document alongside with it explaining certain assumptions and calculations. This may still take a little while though.
If you want to somewhat accurately simulate the performance of your own car, you will probably need to run your own dynamometer tests with the panel and electronics that you hope to use. You'll also need to perform air drag, rolling resistance tests, etc.
An easier way to evaluate the performance of you car and my suggestion to you is to run some actual on-track car tests if you are able to. Having 2 similar cars to test against one another would be ideal.
miseli