This question is similar to two others, here and here, but with a small difference.
To allow a bit of context: Suppose I have a winters day with lots of sunshine. I have an off-grid PV system, and the PV modules are making more power than can be used at the moment. My inverter is however limited to 1600VA, which limits what appliances I can use to dump this excess.
I also have a 3kw hot water cylinder, which presently runs from grid power. It has a standing loss of at least 2kwh a day, and there is a good 5kwh space between 55 and 85 centigrade (assuming 150 liters of water). It would make a good candidate for dumping excess, especially in winter when more hot water is used.
I can obviously not do this at full power due to the small inverter. In theory, however, the heating element has a power factor of 1 (or very very close), and if I drive it at half the voltage/current it would just take 4 times longer to get the same heat in there, but it should still work.
Traditionally you would do this with something that resembles a dimmer switch, some kind of PWM control, or you'd just rely on the thermal mass of the water and turn it full-on/full-off, but that can't be done here due to small inverter.
My question here: How does it affect overall required VA (because inverters are rated in VA, not watts) if you use something akin to a dimmer switch or PWM control? The overall average consumption may be below the inverter rating, but if it does so by creating extremely high current spikes at low duty cycles, I cannot imagine the inverter would like that very much.
I suppose you can shorten this question to: Can you use a dimmer switch (of sufficient capacity) to drive a large heating element from a small inverter. I have a feeling the answer is no. What are the alternatives?