With　cooperative　adaptive　cruise　control　vehicles　(CACC)　development,　the　heterogeneous　traffic　flow　of　human-driven　vehicles　(HV)　and　CACC　will　appear　on　the　same　road.　Although　numerous　studies　have　carefully　analyzed　the　characteristic　of　the　heterogeneous　traffic　flow,　none　of　them　considered　the　effect　of　the　differences　in　acceptance　of　CACC　by　HV　drivers　on　the　heterogeneous　traffic　flow.　In　terms　of　the　differences　in　car-following　behaviors　of　HV　drivers　with　diverse　CACC　acceptances,　this　paper　deduces　the　capacity　and　stability　of　the　heterogeneous　traffic　flow　under　different　CACC　penetration　rates.　Firstly,　the　HV　driver＇s　car-following　behavior　model　with　different　CACC　acceptability　is　calibrated　through　a　questionnaire.　Then,　the　analytical　framework　of　the　fundamental　diagram　and　stability　of　the　heterogeneous　traffic　flow　is　derived,　according　to　the　differences　of　HV　drivers＇　acceptance　of　CACC.　Finally,　the　paper　analyzes　the　influence　factors　and　effects　of　the　heterogeneous　traffic　flow　capacity　and　stability.　The　results　indicate　under　different　CACC　penetration　rates,　the　improvement　of　HV　drivers＇　acceptance　of　CACC　increases　the　capacity　and　stability　of　the　heterogeneous　traffic　flow.　When　CACC　penetration　rate　is　lower　than　96.35%　and　HV　drivers＇　acceptance　level　of　CACC　is　lower　than　the　critical　ratio,　the　popularity　of　CACC　will　decrease　the　stability　of　traffic　flow.　When　the　penetration　rate　of　CACC　is　less　than　34.76%,　and　HV　drivers＇　acceptance　level　of　CACC　is　lower　than　the　critical　proportion,　the　popularization　of　CACC　will　decrease　the　capacity　of　heterogeneous　traffic.　(C)　2021　Elsevier　B.V.　All　rights　reserved.