It's a little better than that! 11000 Wh / 150 Wh = 73 .. call it 80-100 units with charging losses. That's about $20k in power packs.
But let's say you want to use this while out and about. Camping for example.
First understand that this is going to be pretty inefficient. Solar panels output DC, voltage and current will vary throughout the day and I'm not sure the smaller Goal Zero generators use a
MPPT charge controller. (The
larger ones do). Then you need to charge the internal AGM battery, then discharge it into the inverter to produce AC power, then convert it BACK into DC with the bike's onboard charger, then charge the internal battery.
The first limitation will be the inverter can only supply 80W continuous AC. The S ZF12.5 normally charges to 95% in 8.1 hours at 1300W; if you could dial the onboard charger down to 80W, then the bike would charge about 0.72% in 1 hour.
It's not clear how long the Yeti 150 would power a 80W load. Probably about an hour, lead acid doesn't like continuous steep discharges. After depleting the Goal Zero and charging the bike 0.72%, then you would need to charge the Goal Zero again. This will take 3-6 hours with the
Boulder 90W, which is about a day of sunlight.
So it'll take about half a year to charge the Zero, and the internal AGM battery will probably be cooked.
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But! Goal Zero also sells larger units, like the
Yeti 1250. This has a much larger 1250 Wh lead acid power pack and a beefier inverter, which can supply up to 1200W continuous. This is large enough to actually work, provided that you use a smaller 1 kW DeltaQ QuiQ external charger. The onboard 1.3 kW charger can pull up to about 1500W continuous at full load, so it's still a little large for the Yeti.
The 1 kW DeltaQ will deplete the Yeti 1250 in about an hour, and charge the Zero S ZF12.5 about 9%.
The same Boulder 90 will charge the Yeti 1250 in 27-54 hours of sunlight, which is give or take about 9 days. The Yeti can accept up to 240W of solar panels max across two inputs; two Boulder 90s would cut the charge time in half, to about 4.5 days. This averages out to about 2% per day, so the bike will be fully charged in about 2 months.
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Obviously this is a somewhat silly exercise, but it's interesting and it gets brought up from
time to
time. There are ways to do it better; the most efficient route will be to charge the bike battery directly with solar panels controlled by a MPPT charge controller. This might not even be terribly expensive; 1000W of solar panels cost less than the Yeti 1250 and could give the bike about a 50% charge on a nice sunny day. But, this requires that you leave the bike attached to the solar panels for a long time while it's out in the sun, when it'd be more fun to go riding!
If you have a Zero FX then you could conceivably leave one set of batteries charging while you ride around with the other. With a sufficiently large solar array you could charge as quickly as you discharge; Hollywood Electrics used a
solar array and a generator together to do just that in several M1GP endurance races in 2013.
Another option would be to build a large custom battery bank, charge that with solar, and then quickly charge the bike (need a DC to DC converter) when you come back to "base". This is sort of a scaled up version of the Yeti system.
Lightning Motorcycles does this; they have a 9-panel (about 2 kW) solar array mounted on a frame on top of a Dodge Sprinter van which can charge a 36 kWh battery pack inside the van. Their race bikes can charge from this larger battery pack between race sessions, and the solar panels can charge the internal battery pack in between races (likely 3-5 days).