▁The ▁next ▁year , ▁she ▁returned ▁to ▁G E ▁in ▁the ▁Central ▁Station ▁Engineering ▁Department the ▁first ▁professional ▁female ▁elect rical ▁engineer ▁in ▁the ▁United ▁States . ▁She ▁retired ▁from ▁General ▁Electric ▁in ▁ 1 9 4 5 . ▁ ▁Her ▁background ▁in ▁mathematics ▁helped ▁her ▁achieve ▁fame ▁in ▁her ▁field . ▁On ▁February ▁ 8 , ▁ 1 9 2 6 , ▁as ▁the ▁first ▁woman ▁to ▁deliver ▁a ▁paper ▁at ▁the ▁American ▁Institute ▁of ▁Elect rical ▁Engine ers ' ▁( A IE E ) ▁annual ▁meeting , ▁she ▁showed ▁the ▁use ▁of ▁hyper bol ic ▁functions ▁for ▁calculating ▁the ▁maximum ▁power ▁that ▁a ▁line ▁could ▁carry ▁without ▁inst ability . ▁The ▁paper ▁was ▁of ▁importance ▁due ▁to ▁the ▁fact ▁that ▁the ▁transmission ▁lines ▁were ▁getting ▁longer , ▁leading ▁to ▁greater ▁loads ▁and ▁more ▁ch ances ▁for ▁system ▁inst ability ▁and ▁Clar ke ' s ▁paper ▁provided ▁a ▁model ▁that ▁applied ▁to ▁large ▁systems . Two ▁of ▁her ▁later ▁papers ▁won ▁awards ▁from ▁the ▁A IE E : ▁the ▁Best ▁Regional ▁P aper ▁Prize ▁in ▁ 1 9 3 2 ▁and ▁the ▁Best ▁National ▁P aper ▁Prize ▁in ▁ 1 9 4 1 . ▁ ▁In ▁ 1 9 4 3 , ▁Ed ith ▁Clar ke ▁wrote ▁an ▁influ ential ▁text book ▁in ▁the ▁field ▁of ▁power ▁engineering , ▁Circ uit ▁Analysis ▁of ▁A - C ▁Power ▁Systems , ▁based ▁on ▁her ▁notes ▁for ▁lect ures ▁to ▁G E ▁engine ers . ▁ ▁In ▁ 1 9 4 7 , ▁she ▁joined