Dual　Active　Bridge　(DAB)　DC-DC　converters　are　widely　used　in　modern　electricity　systems,　energy　conversion　and　storage　applications,　due　to　the　advantages　of　electrical　isolation,　high　power　density,　wide　voltage　transfer　range　and　implementation　of　soft　switching.　Current　studies　about　DAB　focus　on　forward　power　transfer,　as　for　reverse　power　transfer,　only　the　basic　operating　characteristics　are　analyzed,　and　the　reverse　power　transfer　model　cannot　be　accurately　constructed　and　optimized　for　reverse　transfer　control.　During　the　research,　the　PSpice　and　MATLAB/Simulink　are　used　separately　to　verify　the　reliability　of　design.　However,　the　PSpice　and　MATLAB/Simulink　can　only　simulate　algorithm　or　device　separately.　This　paper　analyzes　the　reverse　power　transfer　and　soft-switching　characteristics,　establishes　an　optimized　control　model　with　minimum　current　stress　as　the　optimization　target,　and　conducts　co-simulation　based　on　PSpice-MATLAB/Simulink.　The　results　show　that　the　algorithm　can　effectively　reduce　the　inductor　current　stress　and　achieve　a　full　range　of　soft-switching　states.　Finally,　a　DAB　experimental　prototype　is　built,　and　the　experimental　results　coincide　basically　with　the　simulation　results,　which　verifies　the　accuracy　of　the　co-simulation　model　and　provides　a　reference　for　power　electronic　system　simulation.　©　2022　IEEE.