Focusing on enabling smart energy consumption for residential users, a smart energy strategy with incentives for residential users to participate in grid peak shaving is proposed. According to the load characteristics of household appliances, residential loads are classified into four categories, and corresponding mathematical models are established. Considering time constraints, electricity satisfaction constraints, and electricity bill satisfaction constraints, an optimization model for residential electricity consumption cost is established. Given that traditional time-of-use electricity pricing is inadequate in motivating residents to participate in grid peak shaving and valley filling, a peak shaving effect evaluation model is established based on cosine similarity, and a market incentive mechanism is proposed based on residents' contribution to peak shaving. Finally, the peak shaving effect is introduced into the Shapley value allocation to establish a cooperative game model between residential users and grid companies. Simulation results demonstrate that the proposed strategy can effectively reduce household electricity consumption costs while promoting active participation of residential users in grid peak shaving.