I think perhaps rather than focus on numbers per se, it might help if we work towards an agreed process for calculating the per kWh cost which anyone can use and plug in the values for the variables applicable in their individual case.
I have ideas but I think it would help to pull together the list of variables in the equation, e.g.:
- total purchase costs
- installation/commissioning costs
- maintenance costs
- capacity utilisation (average daily energy throughput divided by the battery capacity)
- expected degradation of capacity
- time frame for the system to be operational (will you be there 5 years, 10 years, 20?)
etc, etc
When we know what all the relevant variables are, then perhaps a more robust methodology can be developed to provide each use case a more reliable number with which they can compare to alternatives such as staying on grid.
The value of backup is different for everyone, so it wasn't included in the calculations
This is a tricky issue and I don't think we can just hand wave it away.
The grid does include the cost of redundancy in how it operates.
So if we are talking about a completely off-grid scenario, surely it will need some form of redundancy built in? Each user case will be different in why that redundancy is required, be it for periods of poor insolation, or anticipated maintenance etc, and what form that redundancy would take (be it alternative sources of energy to keep everything running through to "I don't care if I'm off line for two weeks waiting for a replacement doodad").
For example, my DIY LiFePO4 cost per kWh is ~$136 (including BMS, bus bars, fuses). Assuming 2500 cycles only, you get $0.054 per kWh cycled.
OK, that's one way to calculate it.
My question though is how much energy will actually be cycled through the battery? Because it is the actual total energy throughput which matters, not the battery's capacity.
Unfortunately, these calculations assume solar panels+battery or nothing. One needs to compare solar with batteries and solar without. Then batteries become almost an impossible proposition if the objective is saving money.
When looking at a grid-tied scenario, definitely. In a totally off-grid scenario then batteries are kinda non-optional.
Cycle battery once per day for 10 years, 55,600 kWh from 3650 cycles (approximate lifespan)
The total energy a battery is capable of cycling though, and what you actually end up cycling through it are two completely different things.
Back to my question above, how much energy will actually be cycled through the battery over a given period of time?
e.g.:
Let's say you do your energy audit and recognise that to manage through periods of poor insolation, and/or times of year where daily consumption is seasonally much higher the battery needs to be (say) 3x your average daily consumption.
That's great. Except for large parts of the year you won't use the full capacity of the battery every day. Indeed the capacity utilisation for a battery scoped for off-grid needs may well be quite low, 30-40% perhaps.
So while a battery might be XkWh in capacity, on average over a year (or decade) you may actually only use 35% of the capacity each day. There will be days you use it all, and days you barely draw down on it. What that capacity utilisation ratio is will be individually variable, but I would be very surprised if it is unity or higher for an off-grid scenario.
In my opinion the battery cost per kWh should be based on the actual energy throughput for your expected use case.
I'll give an example, in this case it involves grid-tied batteries but the same principle applies to off-grid.
A couple of years ago I surveyed a dozen or so owners of Tesla Powerall 2s. Most had the one battery (13.5kWh useable), and one had two of them. I asked them for the total energy throughput for a full year for their battery, and calculated the daily average. It turned out the average capacity utilisation was ~60% of actual capacity, with none above 80%, some under 50%. So the energy throughput cost per kWh was somewhat higher than based on one full cycle per day.
Now being grid tied systems, if the battery is fully discharged well it's no big deal, the grid keeps the lights on. But if you expect to be fully off-grid, well the likelihood is the battery size required would be much larger than what makes financial sense for a grid tied solution.