东南大学《交流电机统一理论》课件第四章

Chapter4MotionEquationofElectro-mechanicalSystemanditsSolution•–––•–4-1•––•––•–––•––•–“”––•–––––4-2•––•x0mxK•0Kxdtxdm=+&•2xm21T&=2Kx21V=•)()()(Txdtdxm21xdtdxmdtddtxdmf2ma&&&&&∂∂=∂∂===VxKx21xKxf2K∂∂=∂∂==)(•––)(Txdtdfma&∂∂=VxfK∂∂=•0VxTxdtd=∂∂+∂∂)(&••VT−=λ0x)x(dtd=∂∂−∂∂λλ&•ieδuRvX=0X1Rφ•dtdiRiReuψ+=+−=•xWfmm∂∂='•xRKxdtxdmffffvRKmam&&++=++=•––––2mexm21T&=2mecKx21V=∫ψψ=0midWdiWi0m∫ψ='•–––2eRi21F=2vmecxR21F&=meceFFF+=•)('mWidtddtde∂∂=ψ=−)(2RRi21iRiu∂∂==xWfmm∂∂=')(memaTxdtddtxdmf&&∂∂==•mecKVxKxf∂∂==mecvRFxxRf&&∂∂==•=∂∂+−∂∂−∂∂=∂∂+∂∂0FxVWxTxdtduFiWidtdmecmecmmecem&&)()()(''•••mecmTWT+=mecTWTm+=''mecVV=•VT−=λ'•q–x•q–ix•Q•21kQqFqqdtdkkkk,)(==∂∂+∂λ∂−∂λ∂&&•–VTVT−=−=λ'•–0–0N21k0qqdtdkk...,)(==∂λ∂−∂λ∂&•N21kQqFqqdtdkkkk,...,)(==∂∂+∂λ∂−∂λ∂&&•––)(kqdtd&∂λ∂kq∂λ∂−•––kkkqRqF&&=∂∂kQ•0•––3––•–qkqk–qkxkkqkqkxkkikpkpkmkxkpkJkkkLkik••''mmeWTT+=∑==m1i2iimexm21T&jn1jjii00midWn1∑∫=ψ=,...,,...,'••mmeWTTT+=='∑∑===n1jn1kkjjkmiiL21W••emecWVV+=∑==m1i2iimecxK21V∑∫==n1jjjqq00edquWn1,...,,...,•∑∑∫====n1jj2jn1jjjqq00eCq21dquWn1,...,,...,•––),(),,(),,('tqVtqqTtqqkkkkk−=λ&&),(),,(),,(tqVtqqTtqqkkkkk−=λ&&4-4•–––•–1–2FRk–3T‘V–4N•–iL(x)mRux0x•1––•qi•x•qkqxiqkxuQk-mg•••2Ri21F=22xm21Li21T&+=0V=•22xm21Li21VT&+=−=λ•–k=1,dtdxdxdLidtdiLLidtdidtd+==∂λ∂)()(0q=∂λ∂RiiF=∂∂•uRidtdxdxdLidtdiL=++–k222dtxdmxmdtdxdtd==∂λ∂)()(&&dxdLi21x2=∂λ∂0iF=∂∂•mgdxdLi21dtxdm222−=−Homework•ReviewChapter4–Section4-1,4-2,4-4•Exercise–4-8,4-9,4-10ThanksThanksalotforyourattention