Inverter Outperforms Old More Powerful Aircon

Answer to question re power use and effectiveness of inverter v overpowered older aircon split units. On this  warm cloudy Bangkok afternoon my new Mitusbishi uses about the same power as the old Trane with  three times the power rating, but delivers dry air. The Trane begins to cycle on and off when it reaches the set temperature. In the intervening periods with fan but no compressor the Trane blows moisture back out of the concealed wall unit  into the room raising the humidity in the room to higher than outside. It is also much more noisy.