This is "out of my head" with sleep calling.
By all means point out any errors for my attention.
That is probably an unrealistic expectation for solar powering a mobile camper - it MAY be OK for a camper in a fixed location.
A very rapid summing of your watt-hours per day requirement plus incidentals gives about 7000 watt-hour per day.
In winter in many locations winter equivalent full sun hours = sunshine hours == SSH is about 2 hours.
Some areas are far less and some rather more, so we need to know areas of use.
Average sun per day by month by geographical location can be found at http://www.gaisma.com.
SSH in my text can be found under Gaisma's kWh/metre_squared/day figure.
At 2 hours per day you need 7000/2 = 3500 Watts of solar panels.
A PV panel will give ABOUT 200 Watts per square meter of panel in full sun so you need 3500/200 ~= 18 square metres of panels.
That's 2m x 9m or about 6'6" x 30 feet.
A VERY large solar array.
Packing that up into a mobile unit would be interesting.
Setting it up permanently to supply a fix location camper would also be interesting.
It's likely that you can get a far more sensible, albeit not as cheap to operate, but cheaper to buy, system by using eg LPG for all heat sources practical.
Items that could realistically be replaced by gas powered equipment include:
Easily:
- Induction Cooktop - 1800W (1 hour a day)
- Space Heater - 1200W (few hours only in winter)
- Hot Water Heater - 1440W (1 hour a day)
- Kettle - 1500W (1 hour a day)
- Mini Clothes Dryer - 1300W (30 min - 1 hour)
Maybe
- Hair Dryer - 1875W (5-10 min a day)
- Clothing Steamer - 600W (30 min - 1 hour)
Leaving
- Blender - 175 W (30 min)
- Water Pump - 90W (30 min)
- iPhone, MacBook Air with Apple Studio Display, few LED lamps...
You could use as much solar as practical to offset some gas use.
Thermal solar heating may be useful.
SIZING FORMULA:
Per item:
Load = watts x hours per day
Sum all loads.
PV panel needs for total solar operation
Load_sum / Winter hours of sun per day x days without sun
Battery capacity = Load x days without sun x Safety multiplier
Safety multiplier
- for lead acid is 2 or more.
- For Lithium Ion is 1.2 - 1.5
Solar input:
SSH - Sunshine hours per day - average by month - for Prague
Total daily Watt-hour load / Full sun hours per day = solar panel watts.
The Gaisma page for Prague shows October to February SSH of under 2 hours per day. April to August is about 4 or more.
SO on an average day in given month divide the daily Watt-hours load by the SSH figures (kWh/m^2/day from table) to see solar panel watts needed
OR
Watt hours / day load = SSH x PV panel watts.
Example: In March SSH = 2.5 hours full equivalent sun per day, on average.
At 100% efficiency and load matched to panel and or battery:
- A 1000 Wh/day load would need a 1000/2.5 = 400 Watt panel.
Or
- A 300 watt panel would provide a 2.5 x 300 = 740 Wh load.
BUT efficincy is always under 100% and load to panel matching is never perfect. An MPPT (Maximum Power Point tracking) controller will help optimise panel energy transfer to the battery.
Assume that achievable energy available compared to theoretical maximum is 50%-90%.
