In　this　paper,　an　equivalent　circuit　model　of　electro-mechanical　converter　(EMC)　is　developed　using　Cauer　circuits,　which　can　be　used　to　improve　the　response　speed　of　high-speed　switching　valves　(HSVs),　and　this　model　can　replace　the　transient　analysis　method　of　finite　element　model　with　high　computational　cost　and　the　traditional　magnetic　circuit　model　that　cannot　accurately　reflect　the　eddy　current　and　skinning　effect　of　coils.　For　EMC　with　high-frequency　operation,　the　Cauer　circuit　can　be　used　to　describe　the　eddy　currents　on　the　physical　layer　and　the　skinning　effect　of　the　soft　magnetic　material.　In　this　paper,　a　multi-field　coupled　EMC　trapezoidal　circuit　simulation　model　is　developed,　and　the　reliability　of　the　model　is　verified　by　experiments.　The　model　can　be　used　to　analyze　the　energy　consumption　in　order　to　identify　the　main　optimized　components　of　the　EMC,　and　the　genetic　algorithm　is　selected　as　the　optimization　method　to　improve　the　structure,　which　leads　to　the　reduction　of　eddy　current　losses　and　the　improvement　of　the　overall　dynamic　response　of　the　EMC.　©　The　Author(s),　under　exclusive　licence　to　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature　2024.