The　current,　electromagnetic　force,　and　dynamic　displacement　of　the　high　speed　on/off　valve’s　electromechanical　converter　under　stable　working　cycle　are　significantly　different　from　those　under　the　initial　movement　cycle.　This　phenomenon　determines　whether　the　electromechanical　converter　can　continue　to　operate　stably,　and　it　also　leads　to　temperature　rise　and　high　energy　consumption　over　long　periods　of　time.　Therefore,　in　this　study　a　high-precision　model　is　proposed　that　can　fully　analyze　the　characteristics　of　the　electromechanical　converter　under　multiple　motion　cycles　with　the　consideration　of　the　effects　of　eddy　current　and　hysteresis.　Firstly,　the　hysteresis　loop　of　the　material　is　tested,　and　the　Jiles-Atherton　hysteresis　model　is　identified　based　on　the　test　data　and　verified　through　experiments.　Secondly,　the　fundamental　reasons　for　the　differences　in　current　and　electromagnetic　forces　between　initial　motion　and　stable　motion　are　analyzed.　On　this　basis,　a　new　law　of　dynamic　evolution　of　electromechanical　converters　under　multiple　motion　cycles　is　discovered.　Finally,　the　important　influence　of　hysteresis　characteristics　and　eddy　current　on　the　dynamic　performance　and　energy　loss　of　the　electromechanical　converter　under　multiple　motion　cycles　is　analyzed.　The　effects　of　frequency,　voltage,　and　external　resistance　on　the　dynamic　characteristics　and　energy　loss　of　electromechanical　converters　have　also　been　analysed.　The　results　indicate　that　as　the　voltage　increases,　the　response　time　decreases,　but　the　eddy　current　loss　increases.　An　increase　in　external　resistance　will　increase　response　time,　but　reduce　eddy　current　losses.　This　study　can　provide　a　theoretical　basis　for　further　improving　the　performance　of　electromechanical　converters.　IEEE