Sell electricity at spot prices, give consumers access to that spot price, and you'll see a lot of demand flatten simply through natural market forces.

Where I live, I pay five times more for electricity between peak hours of 2pm and 8pm than I do between off-peak hours of 10pm-8am. (The remaining hours are priced at a medium level.) This has changed my behaviour, in that I now tend to wait until bedtime before switching on the clothes dryer and dishwasher.