No reason for batteries and inverters at all. If you have, say a 2 KW heating element, and you just used a 2KW array, then it would only really work very well under perfect conditions. But solar panels are constant voltage devices (as long as the load is small enough..) if the solar panel is oversized, say 4 KW, then it would not deliver too much voltage to the heater - voltage is constant. Enphase uses this very idea in their microinverters, arguing that a panel almost never delivers full power, usually some fraction.
Like the guy sez - panels are CHEAP now! Especially if you can use an off-brand, or a non-UL panel. These things are going for a couple dozen cents a watt these days. As long as the safety systems are in place (disconnect, fuse, wire in conduit, DC rated thermostatic control on the heater, overtemp/overpressure valve on the water side) there isn't any reason this wouldn't work.
Like the guy sez - panels are CHEAP now! Especially if you can use an off-brand, or a non-UL panel. These things are going for a couple dozen cents a watt these days. As long as the safety systems are in place (disconnect, fuse, wire in conduit, DC rated thermostatic control on the heater, overtemp/overpressure valve on the water side) there isn't any reason this wouldn't work.
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