The　reinforced　concrete　(RC)　structures　usually　suffer　large　residual　displacements　under　strong　motions.　The　large　residual　displacements　may　substantially　reduce　the　anti-seismic　capacity　of　structures　during　the　aftershock　and　increase　the　difficulty　and　cost　of　structural　repair　after　an　earthquake.　To　reduce　the　adverse　residual　displacement,　several　self-centering　energy　dissipation　braces　(SCEBs)　have　been　proposed　to　be　installed　to　the　RC　structures.　To　investigate　the　seismic　responses　of　the　RC　structures　with　SCEBs　under　the　earthquake　excitation,　an　extended　Bouc-Wen　model　with　degradation　and　self-centering　effects　is　developed　in　this　study.　The　extended　model　realized　by　MATLAB/Simulink　program　is　able　to　capture　the　hysteretic　characteristics　of　the　RC　structures　with　SCEBs,　such　as　the　energy　dissipation　and　the　degradation,　especially　the　self-centering　effect.　The　predicted　hysteretic　behavior　of　the　RC　structures　with　SCEBs　based　on　the　extended　model,　which　used　the　unscented　Kalman　filter　(UKF)　for　parameter　identification,　is　compared　with　the　experimental　results.　Comparison　results　show　that　the　predicted　hysteretic　curves　can　be　in　good　agreement　with　the　experimental　results.　The　nonlinear　dynamic　analyses　using　the　extended　model　are　then　carried　out　to　explore　the　seismic　performance　of　the　RC　structures　with　SCEBs.　The　analysis　results　demonstrate　that　the　SCEB　can　effectively　reduce　the　residual　displacements　of　the　RC　structures,　but　slightly　increase　the　acceleration.