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Mini splits have been popular here for many years.
But what makes them very RE friendly is the "inverter powered" units.
They have an internal vfd (variable frequency drive). Less or near zero starting surge, and the ability to run at reduced rpm to keep power usage low and still run very efficiently.
No air ducts are a big help too (efficiency, less installation costs, etc.).
Try swapping the two weak batteries with batteries at the other end of the string.
For otherwise good battery installations, a few people here have rotated their batteries every few years because the batteries at one end of the string had low charging SG readings over time.
I don't understand why, but it works for them.
I agree that for larger battery banks, a higher voltage is usually better.
However, for smaller a.c. loads, it can be difficult to find lower wattage a.c. inverters at the higher bus voltages.
For a 3.3kwh per day system, 24 volt battery bus is usually much better than 12 VDC .
Germany's investment in the future gave them 3x higher electric rates (some of the German companies were moving to US to get cheaper energy), unstable wind power (they have to dump excess electricity in nearby countries and buy stable power from nuclear generating France). Are now tearing up the landscape for increased brown coal production to make up for closing nuclear power plants (because of Tsunami Flooding in Japan--Germany has no seaside nuclear plants). And they have not reduced their CO2 emissions (on average) since ~1995.
The modernization they made was to bring East Germany out of its poor industrial infrastructure and manufacturing state from when they were part of the Eastern Block.
Andy it only took $780,000,000 USD and 3x higher energy rates to get to this point.
To make all of this "seem to work"--They have kept their industries by making their population pay the costs:
However, average Germans are feeling the pain. Electricity costs are about three times higher than in the U.S., driven mostly by increases in energy taxes to pay for green energy. Heat is so expensive it’s called “the second rent.”
German industry, on the other hand, is exempt from green energy laws out of fear they would no longer be competitive. That’s shifted more of the cost onto residents and smaller businesses.
That is not sustainable.
Governments are not our friends... Look at the national debt and unfunded liabilities at the city, state, and federal levels in the US:
All of the above--Government promised and paid more (much in underfunded pension plans) than they could afford (and tax).
"The whole new regulatory reform is a joke," Madoff said during a telephone interview with New York magazine in which he discussed his disdain for the financial industry and for its regulators.
The interview was published on the magazine's website Sunday night.
Madoff did an earlier New York Times interview in which he accused banks and hedge funds of being "complicit" in his Ponzi scheme to fleece people out of billions of dollars. He said they failed to scrutinize the discrepancies between his regulatory filings and other information.
He said in the New York magazine interview the Securities and Exchange Commission "looks terrible in this thing," and he said the "whole government is a Ponzi scheme."
More or less, I suggest of your battery bank is over roughly 800 AH in capacity, I would suggest going up to next bus voltage (800ah@12volts becomes 400ah@24volts. Same energy storage).
Mostly because in a balanced system design, this keeps battery wiring to s reasonable diameter, and meshes well with 80-90 ampere solar charge controllers (1,000 ah battery bank with 100 amps charging needs 2x solar charge controllers, vs 1x at 500ah and 50 amps).
But you also need to see which batteries are available, what weight cells you can move around and such.
Also, what a.c. inverter you want and what features. 12 volt inverters are lower wattage, few features, and good for smaller systems.
More difficult to find a low wattage 48dcv input inverter.
Your system is on the edge of 12 or 24 volts. If you want a 3.3kwh per day system and full size fridge, a 24 volt system minimum would be nice.
If you have a bunch of 12vdc native loads, perhaps 12vdv battery bus would be better.
Note that many 12 VDC loads do not like 10.5-16.0 volt range that a typical of grid battery system runs at. A major reason o suggest 120 VAC loads and inverter instead (and make the system 1.18x larger to take care of the 85% efficient inverter).