Air Conditioning on battery pwr alone? Well, on paper. . .

Given restrictions on generator use in a lot of places, there would be some advantages to being able to get air conditioning over an 8 hour night (or so) using just battery power. It seems like it might be practical. Here are some back-of-the-envelope calculations put forward for discussion purposes:
How much heat do we have to remove?- A sleeping person gives off about 250 BTU/hr in heat. So, two people = 500 BTU per hour in cooling is needed just to keep them from heating up the sleeping area.
- Heat gain from the outside: If we assume it is 90 deg F outside at night and we want it to be 70 deg F inside, an R-10 wall (2" of rigid foam insulation) will pass 2 BTU per sq ft per hour. If we imagine a sleeping "capsule" with a queen-size bed and 4' high walls all around, that would be 148 sq ft, or 300 BTU required. But even in Dixie we can expect it to cool off a bit overnight, so let's assume that it will be 80 degrees outside in the morning (8 hours later), and at that point the heat gain will be just 150 BTU/hour through walls, ceiling, and floor.
So, we'll figure an average of 225 BTU/hour gain through the walls for the whole night, plus 500 BTU for the heat produced by the people. We'll round up to 750 BTU/hr on average, total. 8 hours of sleep = 6000 BTU of cooling required for the whole night. Note that there's not much point in going for "superinsulated" walls--the 2" of foam gets us to the point where the majority of the heat we're removing is coming from the two people, it's not heat gain from outside.
Now, that's not a huge amount of energy, and might make generator-free cool sleeping feasible.
A small A/C unit: A small 5000 BTU/hr AC window unit draws about 500 watts when it is running, which is a lot. But we need only 750 BTU/hr of cooling, so the unit will only need to run 9 minutes per hour, and in that time it will draw only 75 watt/hours. For the whole 8 hour night, that amounts to 600 watt/hours. For a 12V battery, that's 50 amp-hours, or about what a fully-charged Group 27 deep cycle battery can yield if drawn down to 50% of capacity. Now, there will be other losses (12VDC to 120VAC conversion, etc), but some of these could be addressed by using a DC air conditioner. Plus, the 5000+ BTU A/C unit can be used to cool the whole trailer during the day using a generator or shore power, the nighttime batteries can be recharged from the generator during "generator hours" each day, from the tow vehicle if on the road, etc. And a major "+" for this approach is that it will constantly be removing moisture from the air, which can make even higher temps much more comfortable.
So, real-world considerations that would need to be overcome:
1) Starting amperage on the AC unit would exceed most commonly-available inverters. Maybe a soft-start kit or some other workaround could help.
2) The heat-gain calculations didn't include the gained heat from ventilation air needed by our two sleepers (i.e. the fresh air brought into the sleeping are needs to be cooled). In addition to lowering the temperature of that air, we also need to remove excess moisture in it, which costs some power.
3) The duty cycle of AC unit as described above is very short during the night (9 minutes per hour), which means either frequent on-and-off or big temperature swings. The ideal air conditioning unit for this job might be something a lot smaller---maybe the "guts" of a household refrigerator could be adapted (and it would probably have a lower start-up current, too).
Apologies for the long, geeky post. Anyone with experience trying an overnight "minimalist" AC installation using just battery power?
Mark
How much heat do we have to remove?- A sleeping person gives off about 250 BTU/hr in heat. So, two people = 500 BTU per hour in cooling is needed just to keep them from heating up the sleeping area.
- Heat gain from the outside: If we assume it is 90 deg F outside at night and we want it to be 70 deg F inside, an R-10 wall (2" of rigid foam insulation) will pass 2 BTU per sq ft per hour. If we imagine a sleeping "capsule" with a queen-size bed and 4' high walls all around, that would be 148 sq ft, or 300 BTU required. But even in Dixie we can expect it to cool off a bit overnight, so let's assume that it will be 80 degrees outside in the morning (8 hours later), and at that point the heat gain will be just 150 BTU/hour through walls, ceiling, and floor.
So, we'll figure an average of 225 BTU/hour gain through the walls for the whole night, plus 500 BTU for the heat produced by the people. We'll round up to 750 BTU/hr on average, total. 8 hours of sleep = 6000 BTU of cooling required for the whole night. Note that there's not much point in going for "superinsulated" walls--the 2" of foam gets us to the point where the majority of the heat we're removing is coming from the two people, it's not heat gain from outside.
Now, that's not a huge amount of energy, and might make generator-free cool sleeping feasible.
A small A/C unit: A small 5000 BTU/hr AC window unit draws about 500 watts when it is running, which is a lot. But we need only 750 BTU/hr of cooling, so the unit will only need to run 9 minutes per hour, and in that time it will draw only 75 watt/hours. For the whole 8 hour night, that amounts to 600 watt/hours. For a 12V battery, that's 50 amp-hours, or about what a fully-charged Group 27 deep cycle battery can yield if drawn down to 50% of capacity. Now, there will be other losses (12VDC to 120VAC conversion, etc), but some of these could be addressed by using a DC air conditioner. Plus, the 5000+ BTU A/C unit can be used to cool the whole trailer during the day using a generator or shore power, the nighttime batteries can be recharged from the generator during "generator hours" each day, from the tow vehicle if on the road, etc. And a major "+" for this approach is that it will constantly be removing moisture from the air, which can make even higher temps much more comfortable.
So, real-world considerations that would need to be overcome:
1) Starting amperage on the AC unit would exceed most commonly-available inverters. Maybe a soft-start kit or some other workaround could help.
2) The heat-gain calculations didn't include the gained heat from ventilation air needed by our two sleepers (i.e. the fresh air brought into the sleeping are needs to be cooled). In addition to lowering the temperature of that air, we also need to remove excess moisture in it, which costs some power.
3) The duty cycle of AC unit as described above is very short during the night (9 minutes per hour), which means either frequent on-and-off or big temperature swings. The ideal air conditioning unit for this job might be something a lot smaller---maybe the "guts" of a household refrigerator could be adapted (and it would probably have a lower start-up current, too).
Apologies for the long, geeky post. Anyone with experience trying an overnight "minimalist" AC installation using just battery power?
Mark