What would you call the power given from stars since solar power is only the name of energy from the sun?

You are correct – Sol is our star

It would be able to be powered.

Light power
Radiant power
Photon power
Star Power

solar refraction, still solar energy to us only refracted by the stars..

I’d say stellar power.
(seems there are a few solar companies that use those two words in their titles)

photoelectric cells works too

we also have “Thermoelectric, or “thermovoltaic” devices convert a temperature difference between dissimilar materials into an electric current.”

would our solar cells still work under the conditions of another star…….. well. I’d say it depends on the star and the type it is.
I’d assume it would work in most situations just not as well as it would for the sun. these cells are taylor made to fit the radiation emitted by our sun.

Yes, it would be able to be powered by a star similar to our sun. And we would use the words stellar power, or stellar radiation. It comes from the Latin word stēlla, star.

Some stars have unique names, so we could probably use their names like we do with the sun. For example, we could use “proximian power” for Proxima Centauri. Most sun-like stars don’t have unique names, though, so it will be hard to do. Unique names are usually given to the brightest stars in the night sky, like Aldebaran, Arcturus, etc. When we speak of the power and radiation from these stars, we can use words “aldebaranian”, “arcturian”, etc.