The　J-A　hysteresis　theory　is　widely　used　in　the　modeling　of　magnetic　characteristics　of　electromagnetic　current　transformers　(CTs),　but　there　is　a　large　error　in　the　model　when　considering　the　harmonics　excitation,　and　unfortunately,　the　harmonic　pollution　in　modern　power　grids　is　becoming　more　and　more　serious.　Considering　that　the　nonlinearity　error　of　the　CT　for　measurement　is　less　than　0.2S,　that　is,　the　ratio　error　at　100%　rated　current　is　＜　0.2%,　and　the　phase　error　is　＜　10′,　the　correction　of　the　magnetic　characteristics　of　each　harmonic　is　approximately　applicable　to　the　principle　of　linear　superposition.　Therefore,　this　article　uses　the　dung　beetle　algorithm　(DBA)　to　identify　the　parameters,　corrects　the　J-A　model　parameters　for　each　harmonic,　and　then　linearly　superimposes　the　magnetic　characteristics　of　each　harmonic　to　realize　the　magnetic　characteristics　modeling.　Taking　the　0.2S　permalloy　core　CT　as　an　example,　the　simulation　analysis　and　experimental　results　show　that　the　proposed　method　can　accurately　reflect　the　transmission　characteristics　of　the　CT　at　harmonic　excitation.　The　approximate　linear　superposition　of　the　multiple　harmonics　magnetic　characteristics　introduces　a　ratio　error　of　0.01%　and　a　phase　error　of　0.5′,　and　its　influence　can　be　ignored,　thus　confirming　that　the　correction　method　is　reasonable　and　effective.　　©　1963-2012　IEEE.