Hmm It seems that it can be done , look at these two lniks
https://www.google.ca/search?q=alder+site%3Awww.nodiggardener.co.uk&oq=alder+site%3Awww.nodiggardener.co.uk&aqs=chrome..69i57.6775j0j4&sourceid=chrome&ie=UTF-8

Pruning a cut-leaf alder

The cut leaf alder at the bottom of my garden is getting very heavy and is causing dense shade. Many branches threaten to make large limbs in unsuitable directions

I have cut a lot of wood away but have retained the height of the alder

This reflects a common misconception. The canopy width matters a lot more when the tree is small then when it is large. A small tree has has a canopy low enough to get in the way of people and cars. A tall tree has a canopy well above car height. You actually WANT a tall tree to have branches that extend above the driveway. It will shade it in the summer and prevent it from heating up. Only issue is the power lines...is the tree far enough from those power lines?

Not familiar with this particular tree. Most deciduous trees can be trimmed to keep them small (think bonsai) but it is an ENORMOUS amount of work and can make the tree look goofy.

Check to see if this species is considered an invasive species in your state...it is in some parts of the US

no tree under power lines .. ken

I wouldn't plant anything like that near a power line. I would plant something of relatively low value, something you won't care about if it gets cut up. Maybe you could pollard an acer plantanoides?

Are you planting it under the power lines? If not, how close? Not completely clear on that.

You don't want a tree-sized alder on any site where there are space or moisture restrictions, or where if it broke off or fell over it would get in the way or could hit something. These are fast-growing, short-lived birch family trees which like them are damaged by much pruning.

An 'Imperialis' in Ontario, Canada was 40 ft. tall in 1975. Another, in Spokane was 36 ft. tall in 1992. One in Seattle was 40 ft. tall when cut down in 2005; a second Seattle example was 47 ft. tall when measured during or about the same year.

You could plant Speckled alder. It's not as ornamental but it is native and much smaller.

Speckled Alder under power lines