The　popularity　of　renewable　energy　sources　and　load　structure　changes　make　the　development　of　dual　active　bridge　(DAB)　dc-dc　converters　in　the　dc　distribution　system.　However,　due　to　the　fast　start　and　the　large　output　capacitors,　DAB　converters　suffer　from　inrush　current.　This　article　aims　to　design　a　current　shaping　scheme　with　a　fast　dynamic　response　to　startup　quickly　and　control　the　inrush　current.　First,　the　state-space　average　model　of　the　startup　process　and　its　simplification　are　analyzed.　It　presents　a　theoretical　basis　for　the　widely　used　vary-frequency　segmented　startup　scheme.　Then,　the　model　predictive　control　with　the　current　shaping　(MPC-CS)　scheme　that　features　fast　dynamic　response　is　presented.　Also,　single　objective　cost　function,　demarcation　method　between　operating　modes,　and　enhanced　preprocessing　modules　are　introduced　to　address　the　difficulties　increased　by　the　high　switching　frequency　using　wide　bandgap　devices.　Finally,　evaluations　and　comparisons　among　two　typical　schemes　and　MPC-CS　scheme　are　carried　out　on　simulations　and　a　full-silicon-carbide-based　DAB　converter　with　the　distributed　heterogeneous　controllers,　which　verify　the　practicality　of　the　MPC-CS.　©　2013　IEEE.