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Nowadays, energy saving in wireless communications has become a hot topic as energy consumption increasingly becomes a global environment problem. In this paper, we formulate an Energy Consumption Rating (ECR) minimization problem in a multi-layer network and provide analysis of its property and complexity. To solve this problem, we propose the Enhanced Mobility Load Balancing (EMLB) firstly. A heuristic and practical algorithm is then introduced, which transfers traffic using EMLB in vertical and horizontal directions and adaptively switches off/on some cells based on traffic load condition. The performance of the proposed algorithm is evaluated by comparing with existing static and dynamic schemes through system level simulations. The simulation results demonstrate that our proposed scheme not only has good system throughput performance, but also achieves significant power saving in typical traffic scenario.