When UPS was disconnected from power source and 25W desk lamp was connected to it, all was normal:
But as soon as i have unplugged it and plugged in 95W fan, AVR "Normal" changed to up arrow:
Can somebody explain what does up arrow mean?
I have UPS with that same software and the AVR mode stands for automatic voltage regulation.
Basically the UPS has internal regulator which is supposed to provide stable voltage when the input voltage does out of a specified range.
The only reason I can think of now that could be causing the AVR to turn on is if somehow the inverter is producing too low voltage at the output so that it needs to pass through AVR. The UP arrow means that AVR is increasing voltage while the DOWN arrow means that AVR is decreasing voltage.
There's a high chance this is related to motors being inductive loads, which can be difficult for an inverter without any form of correction. Your lamp is a perfect example of a resistive load, so no power-factor correction is required at all. Devices with transformers (most the equipment you'd usually run on a UPS) start leaning into inductive, but a motor is the textbook example of a difficult load.
I must admit I've little idea why this is manifesting as AVR; usually AVR is used to correct for brownouts (undervoltages) in the supply, so shouldn't be required at all when running on battery.