I have the aforementioned inverter installed with 25 mm² cables, 40 cm from a 320 Ah LiFePO4 battery. It has Bluetooth and a Victron remote control.
In On mode, it works properly with a 700 W sandwich maker, a TV, phone chargers, etc.
But I was surprised when I connected a 380 W hairdryer: the overload alarm goes off and it stops inverting. It doesn’t switch off, and I stay connected via Bluetooth.
The voltage before switching on the load is 13.33 V. When I connect the hairdryer, the voltage drops to 12.96 V and the load is 381 W. After a second of running, the alarm goes off and it stops inverting.
I’ve confirmed that it does the same thing with a 47 W hair straightener. But it works properly with the 700 W sandwich maker.
A known issue … Some hairdryers work perfectly, while others only work on a higher setting. In short … it’s a very difficult and “dirty” load for an inverter, as it doesn’t draw a clean sine wave. Hairdryers often reduce the speed and heat using a simple diode and capacitor … So, two problems at once … a clipped or half sine wave, and a capacitive load … So it’s worth trying a higher heat setting. Otherwise, there’s really only one thing to do … Keep trying
If they are anything like my mother in law’s hair straighteners, those things have the most evil power regulation circuit in them (triac regulated), with an oscilloscope it’s easy to see why there would be an overload. Sharp spikes from triac firing, capacitor charging in the snubber circuit, or an asymmetric (half-wave) current will have something to do with it.
So the most likely explanation is the sine wave is being chopped up alot and there is back emf into the inverter.
If you run the sandwich machine (or other resistive load) and the hair dryer it very possibly won’t shut down. Or the hairdryer and straighteners not on a lower setting.
… Some hairdryers work perfectly, while others only work on a higher setting. In short … it’s a very difficult and “dirty” load for an inverter, as it doesn’t draw a clean sine wave. Hairdryers often reduce the speed and heat using a simple diode and capacitor … So, two problems at once … a clipped or half sine wave, and a capacitive load … So it’s worth trying a higher heat setting. Otherwise, there’s really only one thing to do … Keep trying 
