As posted in the first section, my primary consideration when selecting a lithium battery, for best value, would be to get the highest Amperes per Dollars invested.
But you also need to look at your intended usage and whether a given brand or model can adequately meet your needs or will it actually underperform if used the way you intend it to be used.
The next factor I take into account is the MAXIMUM CONTINUOUS DISCHARGE rating.
Any Lithium Battery with less than a 1C rating over the total capacity of the battery, is not something I would consider buying.
A SPECIAL NOTE, MAXIMUM CONTINUOUS DISCHARGE rating should NOT be “Time Limited”. Quite a few batteries have a “reasonable” Maximum Continuous Discharge rate, but only for a limited amount of time.
If you are buying a lithium battery that is intended to supply high currents for specific purposes, you want a battery that will supply that high current for the entire capacity of the battery.
In other words, if a 100Ah Lithium Battery is rated at a maximum “CONTINUOUS” discharge current rate of 100 amps, that should be for 1 hour, at which point, the BMS shuts the battery down when it has supplied its 100 amperes of capacity at a discharge current rate of 100 amps.
I find it somewhat strange that a battery will be rated at a MAXIMUM CONTINUOUS DISCHARGE rating, but only for say 30 minutes, or what ever. This is not the maximum “CONTINUOUS” discharge rate, it is the highest current discharge rate for a given limited time, so is not a genuine maximum “CONTINUOUS” discharge rating.
Some of the lithium batteries I tested, were tested with a discharge current of 400% of their rated capacity till they were flat ( BMS shut down ).
So unless a battery has its genuine MAXIMUM CONTINUOUS DISCHARGE rating specified, the real rating of the battery is at best, speculative. And this means you really do not know what the SAFE MAXIMUM CONTINUOUS DISCHARGE rating is.
If you are planning to do no more than boil a jug or run a juicer for a few minutes, all is fine with some sort of time limitation, but if you are planning on doing some serous cooking or want to run air conditioning or a heater, this time limited maximum, in my opinion, is just not good enough.
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