As　mobile　data　rapidly　grows,　power　efficiency　problem　becomes　an　increasing　concern　in　wireless　networks.　To　efficiently　reduce　energy　consumption,　nowadays　researchers　attempt　to　introduce　the　thought　of　＂edge　cache＂　into　Internet.　However,　the　power　efficiency　problem　in　the　existing　solutions　is　mainly　researched　under　the　background　of　the　access　networks　and　lack　of　in-depth　analysis　from　the　perspective　of　the　whole　network.　Therefore,　we　design　a　new　power　minimization　mechanism　for　content　distribution　applications　by　deploying　edge　caches　in　wireless　network　scenarios.　Then,　we　theoretically　analyze　the　optimal　power　efficiency　problem　to　realize　efficient　content　distribution　by　simultaneously　taking　into　account　the　effects　of　edge　cache　size,　popularity　distribution　of　network　contents,　network　topology,　and　the　number　of　different　contents.　Simulation　process　indicates　that　the　designed　model　can　significantly　reduce　power　consumption　in　comparison　to　traditional　Internet　solutions　without　deploying　edge　caches　at　the　edge　of　wireless　networks.