How does on-peak rate of the time-of-use tariff compare to non-time-of-use rates?
What are the rates?
Sounds like an AC battery could help.
Indiana electric rates average $0.16/kWh. Sounds like a battery may not help.
How much does electricity cost in Indiana? Learn what average electric rates and electric bills looks like in Indiana.
www.energysage.com
To actually charge a battery off-peak, operate from battery on-peak requires inverter able to supply all loads and starting surges. It should let you do everything without utility involvement.
An AC coupled battery, whether Tesla Powerwall or any other that is grid-interactive (blends its power with the grid) is easier to size, and cheaper. But because it operates in parallel with the grid, must have certain UL listings like 1741 (maybe -SA, -SB) and requires utility permission to operate. This is probably the best way to go.
The AC coupled battery can also provide backup to select critical loads, which would be wired downstream.
Tesla's newest Powerwall is a hybrid, optional PV input. It uses an external transfer switch which could be whole-house or just for select protected loads.
SolArk, EG4 18kpv, Midnight The One, Sunny Boy Smart Energy (and probably quite a few others) are options.
EG4 PowerPro battery costs $0.05/kWh (amortized over its cycle life). Paired with EG4 18kPV, $0.10/kWh. Buy electricity off-peak, and you may be close to the original $0.16/kWh. No savings. Two batteries with one inverter, $0.075/kWh.
Tesla PowerWall, I think 2x the EG4 cost.
You have to pencil out everything.
And my estimates assume battery lives its 6000 cycle claimed life, no costs for repairing anything, public utilities commission doesn't pull the rug out from under you (hint: they will.)
Just move to a state like California or Hawaii, then you can enjoy the savings PV and batteries can provide. And the weather. And the politics and taxes and general cost of living.