If your question refers to loads with active power consumption independent to voltage and frequency variations in the supply grid, variable speed drives would be one example of constant power loads (in contrast to constant impedance loads, or constand current loads).
Moreover, directly connected asynchronous motors are showing little variation in active power consumption during voltage variations (as long as frequency remains constant), or in steady state low/medium voltage grids connected to the higher voltage levels via a transformer with automatic online tap changer that has not reached its limits yet.
If your question refers to the time characteristic of loads (intermittent, non intermittent), please disregard my answer.
Generally speaking, if a converter/inverter is switching fast enough and could regulate its output voltage/current tight enough, you get a constant load.
Generally there are three load based on power and torque: constant torque load, constant power load and fluid load.
1- Constant torque loads are the loads in which TL is not related to the speed and this is always or approximately remains constant at any speed. As example I can refer to Conveyor, agitator, extruder machine etc.
2- Constant power load is a type of load in which its torque is roughly proportional with speed. As practical example I can refer to the metal cutting machine spindle, milling machine, paper machine, film production line coiler, uncoiler, etc.
3- the third type of loads are called fluid loads in which their torque is proportional with square of the speed like all kinds of fans, pumps and oil pumps .
I believe that the question is regarding if the power is constant with speed of rotation of rotor or not. It is not involved with time variation of insolation.