shift to or into sth

I have the following sentence:

"Optimization approaches can shift the load into times with low prices in the electricity market"

Can I use 'into' here or do I have to use 'to'? I'd appreciate every comment.

"Optimization approaches can shift the load into times with low prices in the electricity market" is not particularly idiomatic - it is too verbose: "Optimization can shift the load into periods with/of low electricity prices."

To something ~ as far as the beginning of something - He went to London = He went as far as the point at which London began.

Into is used with motion to indicate a change of state: "He walked into the room." = "His state changed from being outside the room to being inside the room" thus there is implied motion.

"The wizard turned the prince into a frog" There is a change of state without motion - he was human and became a frog.

You need to indicate the change of state from expensive electricity to cheap electricity.

To shift is a verb of motion and "into" = to a point within or inside periods with/of low electricity prices.