- when charging does the charger cut out when the bike is at full charge
Lithium battery charging is simple compared with the old NiCd/NiMH tech.
It just requires a constant voltage. A fully charged 3.6/3.7V (nominal) lithium cell will be 4.2V and charging higher than this can permanently damage it. Battery pack are made-up of a number of cells in series to reach the required voltage and this is expanded in parallel to increase the total energy (Watt Hours).
Unless you absolutely need the full capacity of a pack, it's always better to charge to a slightly lower voltage, say 4V - 4.1V. This will extend the life of the pack considerably. For storage (more than a few months) I would charge to the nominal voltage and repeat this every few months.
The capacity of the pack will be specified in either Watt Hours (Wh) or Amp Hours (Ah). The former is the total energy in the pack and is the Ah figure multiplied by the nominal voltage. It is safe to charge the pack at 1C, i.e. the 'A' in the Ah figure, but a well-designed pack can be fast charged at much higher currents (5C or even higher).
For instance, a 36V pack with a capacity of 5.6Ah will have an energy capacity of 201.6 Wh. It will be built with 20 individual lithium cells of 2800mAh capacity. 2 parallel sets of 10 cells in series. You could charge it safely by applying a voltage of 42V and a current of 5.6A. The battery management system (BMS) will (or should) take care of charging each individual set of parallel cells and will not allow any to exceed around 4.2V. You could leave it attached to the charger for months without a problem as the BMS will not draw any further current when all the cells are at capacity.
Of course, most packs are supplied with a charger that supplies a fixed voltage/current over which the user has no control. These are usually the Achilles heel of any lithium-powered system and will likely be cheap crap from the Far East rebranded with a sticker.
A good, switched DC supply can often be bought for pretty much the same sort of price as a replacement charger would cost and will allow a wide spectrum of voltage/currents and will permit much more flexibility.
I have been building lithium-ion battery packs for a few year for scuba diving applications. I don't own a e-bike, but if I did I'd almost certainly have had a crack at this too
