Generator stability analysis - Fractional tools application
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1 Generor by ny - Frcon oo ppcon Auhor : Ocvn ENACHEANU Dephne RIU Nco RETIERE SDNE Grenobe -67
2 Oune. Eecrc nework cone. Frcon moeng o ynchronou mchne. Se pce repreenon n by conon o ynchronou mchne neger orer 4. Se pce repreenon o ynchronou mchne h orer moe 5. Sm gn by conon o ynchronou mchne h orer moe 6. Concuon n perpecve. SDNE Grenobe -67
3 . Eecrc nework cone The eecrc nework oy Srong eveopmen o eecrc nework: rbuon nework on bor eecrc yem (eronuc nv uomobe ecor) Compey : number o o (ncreng o orer yem) ource very (DC AC) ncreng number o power eecronc converer SDNE Grenobe -67
4 . Eecrc nework cone Probem! Cc moeng o ynchronou mchne neue or mchne - converer ocon The eecrc nework hve o be rebe e n o prove goo uy o energy Nee or n ccure moeng o eecrc nework: Devce moe ccure rge reuency bn compc EDP euon Ineger orer moe wh rge number o prmeer Non neger orer moe wh reucon o prmeer SDNE Grenobe -67
5 . Frcon moeng o ynchronou mchne e J E H L b h Duon euon o mgnec e H( z ) H(z ) σµ z H( z ) H( h ) conon ne conon u me Non nne br Inne br e H(z τ z ) σµ τ [ ] e H(z τ ) H(z ) σµ z [ H(z )] Impc h orer Epc h orer SDNE Grenobe -67
![u me Non nne br Inne br e H(z τ z ) σµ τ [ ] e H(z τ )](/docs-images/56/7115868/images/page_5.jpg "H(z ) σµ z [ H(z )] Impc h orer Epc h orer SDNE Grenobe")
6 -67 SDNE Grenobe j R Z br e h L R h b ρ µ ρ Impence o conucve br H J E L j L j Z ron n L e L e µ µ σ Impence o ron hee H J E h L b e. Frcon moeng o ynchronou mchne
7 . Frcon moeng o ynchronou mchne Drngon generor: MA k 6 Hz r r r Z Z Z Z?? Prk moe?? Prk moe Impc moe Z Z L R Z Z L R Prmeer o be ene: L? R? L? R?. SDNE Grenobe -67
8 . Frcon moeng o ynchronou mchne Drngon generor: MA k 6 Hz r r r R Z Z Z L?? Prk moe?? Prk moe Epc moe Z e L e e Z e Re e e L Prmeer o be ene : L e? e R e? e L e? e r. Z e e Z r SDNE Grenobe -67
9 . Frcon moeng o ynchronou mchne Drngon generor: encon reu SDNE Grenobe -67
10 . Se pce repreenon n by conon o ynchronou chne neger orer Freuency reguon m Synchronou mchne Lne Lo Mebrook creron: c oo: e pce pproch F oge reguon F reuency pproch (Boe grm) F T () T() Z Z ou n Source Source Syem F Inermee bu Z oupu Z npu Lo Syem F SDNE Grenobe -67
11 . Se pce repreenon n by conon o ynchronou chne neger orer Pmcon. Pm? Lgne Synchronou mchne Lo con. Hypohe : Pmcon. Go: Frcon moe con. Frcon oo conrbuon on by ue Sm gn by conon Tme repone SDNE Grenobe -67
12 . Se pce repreenon n by conon o ynchronou chne neger orer Q r D r D D r Q Q D Q???? Prk moe Prk moe Se pce euon k A k B uk k [ ] T D Q A egenvue? egenvecor e? SDNE Grenobe -67
13 . Se pce repreenon n by conon o ynchronou chne neger orer Im Sm gn by conon Re( λ ) < Sbe nge(? ) Inbe Re nge( λ ) > π Egenvue???? 4? 5 Imgnry D Q Q D D D.59 P φ ψ P P : P φ φ φ k.486 P prcpon cor rgh egenvecor ψ ψ :.56 ψ k k Re Q?-.966 e egenvecor SDNE Grenobe -67
14 . Se pce repreenon n by conon o ynchronou chne neger orer Increng yem orer r r Q r D r Dn r Dk r D D r Qn rqk r Q Q Dn Dk D Qn Qk Q???? Prk moe Prk moe orre orre orre orre orre 5 Egenvue eur propre - moèe ener orre orre orre Imgnry Egenvue mgron Rée Re orre Egenvue mgron orre orre Rée -4 4 SDNE Grenobe -67
15 -67 SDNE Grenobe. Se pce repreenon o ynchronou mchne orer moe r r Z Z?? Z r?? R L Q Z r r Z Z r r λ λ [ ] [ ] [ ] T P T M T N... e... e e e... e D C e B A m m n e pce euon obervon euon e pce yem 5 L r r L R R r r λ λ
16 -67 SDNE Grenobe Chnge o vrbe: 6. Se pce repreenon o ynchronou mchne orer moe
17 -67 SDNE Grenobe λ η γ ϕ φ ε δ χ β α Conrucon o rcon yem n e pce orm 7. Se pce repreenon o ynchronou mchne orer moe
18 -67 SDNE Grenobe A Frcon pce e mr 8. Se pce repreenon o ynchronou mchne orer moe
19 . Sm gn by conon o ynchronou mchne orer moe Sm gn by conon n π nge( λ ) > nge( λ where n Im ) > 45 o Egenvue Sbe Inbe nπ Re Imgnry Rée Re 9 SDNE Grenobe -67
20 . Sm gn by conon o ynchronou mchne orer moe rcpon cor Egenvue Imgnry Re SDNE Grenobe -67
21 . Sm gn by conon o ynchronou mchne orer moe Empe o by nby yem.5 R> Egenvue Pmcon. con. Synchronou mchne.5 Lne eur propre - moèe non ener R> be R< nbe Egenvue Lo R> R< Imgnry Imgnry Re Re SDNE Grenobe -67
22 . Concuon n propec Concuon Ineger orer moe: Accure yem -> orer ncreng or by ue Non neger orer moe: Accure moe wh e prmeer vbe or rge reuency bn Sby uy wh pecc rcon yem meho Propec Tme repone o ynchronou mchne ung rcon echnue Epermen von ung m yem (on bor yem) SDNE Grenobe -67
23 Thnk you or your enon! SDNE Grenobe -67
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