A　model　for　a　novel　integrating　system　consisting　of　an　alkali　metal　thermoelectric　converter　and　a　non-recuperative　irreversible　Brayton　heat　engine　is　presented.　The　efficiency　and　power　output　density　of　the　overall　system　is　analyzed　at　light　of　the　main　characteristic　losses　in　each　subsystem:　the　thickness　of　the　electrolyte,　the　current　density　of　the　converter,　and　the　internal　losses　of　the　Brayton　cycle　coming　from　the　compressor　and　turbine.　A　detailed　study　on　the　behavior　of　the　overall　maximum　power　and　maximum　efficiency　regimes　is　also　presented.　An　analysis　on　compromise　performance　regimes　from　multi-objective　and　multi-parametric　optimization　techniques　based　on　the　Pareto　front,　for　both　the　subsystems　and　the　overall　system,　enhance　the　obtained　results.　The　numerical　results　of　the　present　model　are　compared　with　those　of　alkali　metal　thermoelectric　converter　working　alone　and　with　other　different　existing　hybrid　models.　It　is　found　that　the　exhaust　heat　discharged　by　the　converter　can　be　efficiently　utilized　by　an　irreversible　Brayton　heat　engine.　So,　the　maximum　efficiency　and　maximum　power　output　density　of　the　present　model　attain　41.7%　and　116×103　W/m2　which　increase　about　44.8%　and　158%　compared　to　the　values　of　the　alkali　metal　thermoelectric　converter　working　alone　and　20.5%　and　80.4%　when　compared　with　a　hybridized　configuration　including　a　thermoelectric　energy　converter.　©　2020　Elsevier　Ltd