In　wireless　power　transfer　(WPT)　systems,　it　is　well　known　that　the　series-parallel　(SP)-compensated　topology　is　preferable　for　large　load　systems,　like　biomedical　implants　and　consumer　electronics,　etc.　However,　it　is　a　major　challenge　for　practical　SP-compensated　WPT　applications　to　obtain　efficient　and　stable　power　transfer　characteristics　under　the　variations　of　coupling　coefficient　and　resonant　frequency.　Therefore,　based　on　fractional-order　(FO)　circuit　theory,　this　paper　proposes　an　SP-compensated　FOWPT　system　with　coupling　independence　and　detuning　insensitivity.　Experimental　results　show　that　stable　output　power　is　maintained　with　a　constant　transfer　efficiency　in　a　wide　load　range,　and　when　the　resonant　frequency　of　the　receiver　is　detuned　+/-　5%,　the　fluctuations　of　output　power　and　transfer　efficiency　are　less　than　1%.　The　experiment　validates　the　effectiveness　of　the　proposed　system.