Charriot said..
As was mentioned before, 20W solar would not need controller , it just introducing about 0.5 volt drop.
solar panels are always equiped with build in diode, means there is no reverse current when in dark.
also there is no adverse affect if load is connected or not.
they supply current or not, that's what they do.
It is irrelevant when the other devices or charges are connected the same time, in fact, it is advantage to have
them connected because solar can add to change even when engine is running.
It might be surprising but a 20W solar panel can easily overcharge and wreck a 12V battery if left connected unchecked. I have done it! The electrolyte will eventually evaporate, the plates will buckle and bingo a dead battery with a shorted cell. When they don't its by good luck. I contract design solar electronic equipment for a battery company and they make a lot lot of sales to boat owners (and farmers) who have wrecked their batteries by either overcharging them or running them flat to completely dead. A controller will not let either happen.
Its true many solar panels have blocking diodes but many don't. The 10W unit I tested today above does NOT have a blocking diode because its out of an array. If you have an array of 20 solar panels you don't want 20 x 0.6V drop and the consequent waste of power. So many solar panels I design with do NOT have blocking diodes. And Schottky diodes are only a minor improvement, 0.4V drop instead of 0.6V.
It really is relevant what devices are connected at the same time. Ohms law. If the load on the battery is more than the charge current coming in the battery will eventually go flat.
If the current entering the battery is significantly more than it can handle it will eventually become overcharged, the electrolyte will evaporate and the battery will be wrecked. If you add a load to the battery higher than the current entering the battery it will eventually go flat instead.
You are right that leaving the solar connected takes load off the engine. The alternator on Trek turns out 40A so the 8A I can get out of my solar is pretty good by comparison. Someone tried that on cars to make them more efficient, but the 1kW solar on the car roof is a bit sad compared to a 100kW petrol engine.