Generator stability analysis - Fractional tools application



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Transcription:

Generor by ny - Frcon oo ppcon Auhor : Ocvn ENACHEANU Dephne RIU Nco RETIERE SDNE Grenobe -67

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

. 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

. 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

. 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

-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

. 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

. 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

. Frcon moeng o ynchronou mchne Drngon generor: encon reu SDNE Grenobe -67

. 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

. 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

. 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

. 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 -.6846 -.4.465.59 ψ -.6846 -.4.465 P P : P φ φ φ -.658. k.486 P prcpon cor rgh egenvecor ψ ψ :.56 ψ k k.844 -.99 Re Q?-.966 e egenvecor -.966 4.9 SDNE Grenobe -67

. 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.4.4.. orre orre orre orre orre 5 Egenvue eur propre - moèe ener.55.5.45.4.5 orre orre orre 5....5 Imgnry.. -. -. -. -...5 Egenvue mgron. -. -. -. -. -.9 -.8 Rée.5 -. -. -.4 -.4 -.5 -.5 -. -. -.5 -.5 -. -. -.5 -.5 -. -. -.5 -.5.5.5.. Re -.5 - -.5 orre Egenvue mgron orre orre 5 - -9.5-9 -8.5-8 -7.5 Rée -4 4 SDNE Grenobe -67

-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

-67 SDNE Grenobe 8 9 7 8 7 5 6 5 4 5 6 4 5 4 Chnge o vrbe: 6. Se pce repreenon o ynchronou mchne orer moe

-67 SDNE Grenobe λ η γ ϕ φ ε δ χ β α 6 6 6 6 6 6 6 8 6 8 7 7 6 6 6 6 5 6 5 4 4 6 6 6 6 6 6 5 5 4 6 6 7 7 5 5 6 6 7 7 5 5 5 9 5 4 9 4 9 9 9 9 9 9 9 6 9 6 5 9 5 9 9 9 9 9 8 8 7 4 64 6 6 9 6 9 6 6 6 5 6 5 6 6 6 6 5 6 4 6 5 4 5 4 4 4 4 4 9 9 6 6 5 5 Conrucon o rcon yem n e pce orm 7. Se pce repreenon o ynchronou mchne orer moe

-67 SDNE Grenobe 6 6 6 6 6 6 6 8 6 7 6 6 6 5 6 4 6 6 6 6 7 5 6 7 5 9 5 94 9 9 9 9 9 9 9 6 9 5 9 9 9 6 4 6 6 6 9 6 6 6 5 6 6 4 6 4 5 4 4 9 6 5 A Frcon pce e mr 8. Se pce repreenon o ynchronou mchne orer moe

. Sm gn by conon o ynchronou mchne orer moe Sm gn by conon n π nge( λ ) > nge( λ where n Im ) > 45 o.8.6.4 Egenvue Sbe Inbe nπ Re Imgnry. -. -.4 -.6 -.8 - - -.5 - -.5.5 Rée Re 9 SDNE Grenobe -67

. Sm gn by conon o ynchronou mchne orer moe rcpon cor Egenvue.8.6.4 7 4 5 Imgnry. -. -.4 -.6 7 4 5 6 7 8 4 5 -.8 - - -.5 - -.5.5 Re SDNE Grenobe -67

. 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.5 -.5 Imgnry.5 -.5 - - -.5 -.5 - - -.5 - -.5.5.5 Re - -5 5 Re SDNE Grenobe -67

. 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

Thnk you or your enon! SDNE Grenobe -67