With　the　rapid　development　of　new　energy　vehicles,　5G　facilities,　electric　aircraft,　and　new　energy　power　generation,　the　high-power-density　inverters　are　developed　rapidly.　A　comprehensive　optimization　method　combining　heatsink　and　inductance　filter　was　proposed　in　this　article.　Based　on　accurate　thermal　modeling　and　magnetic　modeling,　the　method　proposed　chose　an　optimized　switching　frequency　to　minimize　the　volume　of　the　inverters　by　compromising　the　design　of　the　heatsink　and　inductor　volume.　Among　them,　a　model　of　multichip　forced　air-cooling　heatsink　was　proposed　to　reduce　the　size　of　the　heatsink,　and　the　comprehensive　thermal　resistance　error　of　the　proposed　model　is　within　2%.　The　structure　of　the　grid-connected　filter　and　the　inductor　model　is　analyzed　showing　that　the　single　inductor　L-filter　has　a　smaller　size　and　more　stability　than　the　LCL-filter　at　a　high　switching　frequency.　The　comprehensive　optimization　method　proposed　was　implemented　by　380-V/50-kVar　SiC-static　var　generator　(SVG)　with　the　50-kHz　switching　frequency,　and　its　topology　is　a　two-level　inverter　with　a　single　inductor　filter.　This　SiC-SVG　reached　a　volume　of　30.2　L　(including　all　components　required　for　mainstream　products),　which　is　50%　lower　than　insulated　gate　bipolar　translator　(IGBT)-SVGs.　Its　efficiency　is　98.5%　at　full　load,　which　is　1.5%　higher　than　IGBT-SVGs.　The　experiments　and　temperature　rising　tests　at　full　load　proved　the　feasibility　of　the　comprehensive　optimization　method.