Extended　range　electric　vehicles　(EREVs)　are　an　effective　solution　to　solve　the　lack　of　driving　range　of　pure　electric　vehicles.　Reducing　the　fuel　consumption　of　EREVs　and　prolonging　the　service　lifetime　of　battery　play　a　positive　role　in　solving　environmental　pollution　and　energy　crisis.　In　this　paper,　hybrid　energy　storage　system　(HESS)　is　introduced　into　EREVs,　and　two　energy　management　strategies　based　on　HESS　are　proposed　to　reduce　fuel　consumption　and　prolonging　the　service　life　of　battery.　This　paper　proposes　two　energy　management　strategies　for　EREVs　based　on　a　HESS　to　reduce　fuel　consumption　and　the　amount　of　energy　flowing　through　the　battery.　HESS　adopts　the　rule　based　energy　management　strategy,　whereas　Auxiliary　power　unit　(APU)　adopts　the　equivalent　fuel　consumption　minimization　strategy　(ECMS)　or　the　rule-based　energy　management　strategy　as　its　first　and　second　hierarchical　energy　management　strategies　respectively,　both　of　which　are　embedded　into　the　charge　depleting/charge　sustaining　(CD/CS)　control　strategy.　A　simulation　model　for　an　EREV　is　built　in　AVL　Cruise　to　verify　the　effectiveness　of　these　strategies.　The　battery　charge　and　discharge　C-rate　and　the　energy　consumption　of　EREVs　without　HESS　under　the　ECMS　and　rule-based　energy　management　strategy　are　then　compared.　Results　show　that　under　the　first　hierarchical　energy　management　strategy,　the　average　discharge　C-rate　and　cumulative　ampere　hours　of　the　battery　are　the　lowest,　thereby　reducing　its　operating　load　and　extending　its　service　lifetime.　Meanwhile,　for　those　EREVs　without　HESS,　using　the　rule-based　energy　management　strategy　can　reduce　fuel　consumption　by　11.33%,　whereas　using　ECMS　increases　fuel　consumption　by　no　more　than　1.61%.　Therefore,　the　first　hierarchical　energy　management　strategy　proposed　in　this　study　can　effectively　extend　the　service　lifetime　of　the　battery　and　reduce　the　fuel　economy　of　EREVs.　(c)　2022　The　Author(s).　Published　by　Elsevier　Ltd.　This　is　an　open　access　article　under　the　CC　BY-NC-ND　license　(http://creativecommons.org/licenses/by-nc-nd/4.0/).