Will our sun ever undergo a white dwarf supernova explosion? Why or why not?

No, our sun will not undergo a supernova explosion

Explanation:

Our sun is not massive enough to end in a supernova explosion.

A supernova occurs when a star stops producing nuclear reactions so it no longer generates pressure acting against its own gravity, and gravity wins by compressing the star and then exploding by ejecting the solar material.

Our sun has a mass nine times less than the mass necessary for a supernova explosion to take place.

The future of a star like the sun will be to expand into a red giant, and eventually contract into a white dwarf