Nowadays　the　rapid　growth　of　mobile　traffic　has　attracted　researchers＇　attention　on　the　power　efficiency　problem　in　the　Internet.　Given　the　outstanding　advantages　of　edge　cache　in　content　delivery　services,　researchers　are　attempting　to　apply　this　idea　to　reducing　network　power　consumption.　However,　the　power　efficiency　issue　in　the　existing　works　is　mainly　researched　under　the　background　of　the　access　networks　and　lack　of　in-depth　analysis　from　the　perspective　of　the　cooperation　between　content　providers　(CPs)　and　Internet　Service　Providers　(ISPs).　Therefore,　we　design　an　edge　cache-assisted　power-efficient　data　transmission　scheme　in　mobile　wireless　environments,　where　the　power　consumption　problem　of　ISPs　and　CPs　is　formulated　as　a　centralized　model.　Besides,　we　theoretically　analyze　this　power　efficiency　model　to　optimize　cache　allocation　and　content　distribution.　Simulations　are　conducted　in　the　different　network　scenarios　and　the　simulation　presents　that　the　performance　of　the　proposed　minimal　power　model　exceeds　that　of　the　current　Internet　solutions　without　deploying　edge　caches　in　the　wireless　networks.　©　2019　IEEE.