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Estruturas de PLL (PhaseLocked Loop) monofásica e trifásica com alta rejeição a sub e interharmônicas

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2.2.1 Estrutura de Referência Síncrona Modificada (MSRF - Modified

Synchronous Reference Frames) ... 8

2.2.2 Método Utilizando Filtros Passa-Baixa (LPF-B - Low Pass Filter Based) ... 10

2.2.3 Método dos Vetores Filtrados no Espaço DESVF - Space Vector Filter) .... 11

2.2.4 Método dos Vetores Filtrados no Espaço DEModificado (MSVF - Modified Space Vector Filter) ... 12

2.2.5 Método Baseado no Filtro de Kalman Estendido (EKF - Extend Kalman Filter) 13 2.2.6 Método dos Mínimos Quadrados Recursivo (WLSE - Weighted Least-Square Estimation) ... 14

2.2.7 Transformada Discreta de Fourier Recursiva (RDFT - Recursive Discrete Fourier Transform) ... 15

2.2.8 Tabela Resumo dos Métodos Apresentados ... 17

0pWRGRVGH6LQFURQL]DomRHP0DOKD)HFKDGD 2.3.1 Estrutura Básica do PLL ... 18

2.3.2 Linearização para Pequenos Sinais ... 19

2.3.3 Detecção de Fase Baseado em Sinais em Quadratura ... 21

2.3.3.1 PLL tipo vq ... 22

2.3.3.2 PLL tipo vd ... 24

2.3.3.3 PLL Baseado no Delay de T/4 ... 24

2.3.4 PLL Tipo p e PLL Tipo q ... 25

2.3.5 Enhanced PLL (EPLL) ... 28

(15)

2.3.6.1 SOGI ... 30

2.3.6.2 SOGI-QSG ... 31

2.3.6.3 SOGI-FLL ... 33

2.3.7 DSOGI-FLL ... 36

2.3.8 SRF-PLL e DDSRF-PLL ... 38

2.3.8.1 SRF-PLL ... 38

2.3.8.2 DDSRF-PLL ... 39

2.3.9 Tabela Resumo dos Métodos Baseados em PLL Apresentados ... 42

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3.2.1.2 Motores Elétricos ... 48

3.2.1.3 Conversores de Frequência Estáticos Indiretos ... 49

3.2.1.4 Inversores Comutados pela Corrente de Carga ... 49

3.2.1.5 Inversores Fonte de Tensão ... 50

3.2.1.6 Tensões de Sinalização em Sistemas de Potência ... 50

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3.3.2 Estrutura Trifásica do PLL ... 59

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3.4.1.1 Filtro Adaptativo Adotado ... 67

3.4.2 Algoritmo do PLL para Sistemas Trifásicos ... 70

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4.3.2.1 Variação de Amplitude, da Frequência e da Fase do Sinal de Entrada ... 87

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4.4.2.1 Variação de Amplitude, da Frequência e da Fase do Sinal de Entrada ... 102

5HVXOWDGRV([SHULPHQWDLV 4.5.1 Resultados Experimentais do PLL para Sistemas Monofásicos ... 107

4.5.1.1 Resultados em Regime Permanente ... 107

4.5.1.2 Resultados em Regime Transitório ... 110

4.5.1.3 Resultados da Análise Comparativa ... 112

4.5.2 Resultados Experimentais do PLL para Sistemas Trifásicos ... 116

4.5.2.1 Resultados em Regime Permanente ... 116

4.5.2.2 Resultados em Regime Transitório ... 122

4.5.2.3 Resultados da Análise Comparativa ... 125

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2.2.8 Tabela Resumo dos Métodos Apresentados

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2 3// p XP VLVWHPD HP PDOKD IHFKDGD R TXDO SRVVXL XP RVFLODGRU LQWHUQR FRQWURODGRFXMDIXQomRpJHUDUXPVLQDOVLQFURQL]DGRFRPXPVLQDOSHULyGLFRH[WHUQRDWUDYpV GHXPFLUFXLWRIHFKDGRGHUHDOLPHQWDomR2kQJXORGHVLQFURQLVPRHDIUHTXrQFLDGDUHGHVmR LQIRUPDo}HV YLWDLV REWLGDV SHOR 3// $ ILP GH HVWLPDU HVWHV SDUkPHWURV YiULRV PpWRGRV IRUDPSURSRVWRV

(34)

2.3.1 Estrutura Básica do PLL

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v uA sen tZ I

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2.3.2 Linearização para Pequenos Sinais

2PRGHOROLQHDUL]DGRSDUDSHTXHQRVVLQDLVGR3//pGHPXLWDXWLOLGDGHSDUDVH DQDOLVDU VHXV SDUkPHWURV $QDOLVDQGR SDUD SHTXHQRV VLQDLV WHPVH TXH D PHVPD VH WRUQD

pd lf

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7HQGRVH HVVD DSUR[LPDomR R VLVWHPD SRGH VHU UHSUHVHQWDGR FRQIRUPH D )LJXUD(DVVLPHOHVHWRUQDXPVLVWHPDOLQHDUGHVHJXQGDRUGHPSRGHQGRVHUDQDOLVDGR FRPEDVHQDWHRULDGHFRQWUROHFRQYHQFLRQDO7(2'25(6&8 )LJXUD5HSUHVHQWDomRGRPRGHOROLQHDUL]DGR )RQWH3UySULR$XWRU

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2.3.3 Detecção de Fase Baseado em Sinais em Quadratura

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$SDUWLUGRH[SRVWRRXWUREORFRGHGHWHFomRGHIDVHpSURSRVWR)D]HQGRVHXPD PRGLILFDomRQREORFRGRGHWHFWRUGHIDVHWHPVHXPDPHOKRUDQRGHVHPSHQKRGHGHWHFomRGR 3// FRPR VHUi REVHUYDGRU SRVWHULRUPHQWH 3RGHVH HQFRQWUDU QD OLWHUDWXUD GLYHUVRV DOJRULWPRVSDUDJHUDURVVLQDLVHPTXDGUDWXUD6,/9$HWDO6$,728HWDO$V VDtGDVHPTXDGUDWXUDDSUHVHQWDPVLQDLVGHPHVPDDPSOLWXGHHIUHTXrQFLDRXVHMDRVVLQDLV VmRRVPHVPRVVHQGRTXHGHIDVDGRVGHƒ,VVRID]FRPTXHDFDSDFLGDGHGHILOWUDJHPGR VLVWHPDVHMDLQFUHPHQWDGD

(38)

)LJXUD3//FRPJHUDGRUGHVLQDOHPTXDGUDWXUD )RQWH3UySULR$XWRU 6HJXLQGRRGLDJUDPDGHEORFRVDSUHVHQWDGRQD)LJXUDWHPVHTXHRVLQDOGH HUURDSUHVHQWDRVHJXLQWHHTXDFLRQDPHQWR

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PLL tipo vq

$QDOLVDQGR D H[SUHVVmR REWLGD HP SRGHVH REVHUYDU TXH D PHVPD ID] SDUWH GD WUDQVIRUPDGD GH 3DUN $ WUDQVIRUPDGD GH 3DUN SDUD VLVWHPDV GH FRRUGHQDGDV QD UHIHUrQFLDVtQFURQDp FRV FRV d q

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(39)

%DVHDGR QD HVWUXWXUD DSUHVHQWDGD QD )LJXUD UHPRYHVH R EORFR 2&7 H DGLFLRQDVH XP QRYR EORFR FKDPDGR JHUDGRU GH IUHTXrQFLDkQJXOR GH IDVH *)$ RX HP LQJOrV)3*Frequancy/Phase-anlge Generator,VVRID]FRPTXHDVLQFURQL]DomRVHMDIHLWD EDVHDGDQDWUDQVIRUPDGDGH3DUNRTXHSRGHVHUFRQVLGHUDGRXPWLSRGHGHWHFWRUGHIDVH2 VLVWHPDpDSUHVHQWDGRQD)LJXUD )LJXUD3//7LSRYT )RQWH3UySULR$XWRU &RQVLGHUDQGRTXHRVLQDOGHHQWUDGDp

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2 VLQDO GH VDtGD SURYHQLHQWH GR JHUDGRU GH VLQDO HP TXDGUDWXUD SRGH VHU H[SUHVVRSHODVHJXLQWHHTXDomR FRV v sen v V v D DE E T T

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6LQWRQL]DQGR R FRQWURODGRU GR EORFR ) GH IRUPD D ID]HU vd HP UHJLPH

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(40)

PLL tipo vd

%DVHDGRQRPHVPRSULQFtSLRGR3//DQWHULRUHVWHFRQFHQWUDRYHWRUWHQVmRGD

UHGHWRGRQRHL[RGLUHWR2XVHMDvq %DVHDGRVHPHWHPVH

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PLL Baseado no Delay de T/4

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)LJXUD3//%DVHDGRQRdelay7 )RQWH3UySULR$XWRU

2.3.4 PLL Tipo p e PLL Tipo q

(VWHVDOJRULWPRV3//VmRHVWUXWXUDVUREXVWDVTXHSRGHPUHMHLWDUDOWRVQtYHLVGH KDUP{QLFRVHGHVHTXLOtEULRVSUHVHQWHVQDVWHQV}HVGRVLVWHPDHOpWULFR(VWH3//SURGX]XP VLQDOGHVDtGDVLQFURQL]DGRFRPDFRPSRQHQWHIXQGDPHQWDOGHVHTXrQFLDSRVLWLYDGRVLQDOGH HQWUDGD2DOJRULWPRGHVWHV3//pEDVHDGRQRSULQFtSLRGDWHRULDST(VVDWHRULDWUD]FRPR VHXV SLODUHV D DQiOLVH GDV SRWHQFLDV LQVWDQWkQHDV 2X VHMD HOD LQWURGX] QRYRV FRQFHLWRV GH SRWrQFLD LQVWDQWkQHD TXH QmR QHFHVVDULDPHQWH VmR FRQIOLWDQWHV FRP D WHRULD FRQYHQFLRQDO 6$662HWDO

2 GLDJUDPD GH EORFRV GR 3// WLSR S H GR 3// WLSR T VmR DSUHVHQWDGRV QDV )LJXUDV H UHVSHFWLYDPHQWH 9DOH UHVVDOWDU TXH RV YDORUHV GH HQWUDGD GHVWHV DOJRULWPRV WrP TXH VHU QRUPDOL]DGRV SDUD TXH R PpWRGR GH VLQFURQL]DomR IXQFLRQH DGHTXDGDPHQWH2EORFRabcDEFRUUHVSRQGHDWUDQVIRUPDGDGH&ODUNH

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dq vq vD vE T $WUDVR 7 p i k Ts § · ¨ ¸ ¨ ¸ © ¹ s vD Z T b v t abc

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(42)

)LJXUD'LDJUDPDGHEORFRV3//7LSRT )RQWH3UySULR$XWRU

1DV ILJXUDV DSUHVHQWDGDV DQWHULRUPHQWH WHPVH TXH DV WHQV}HV vD H vE FRUUHVSRQGHP D WUDQVIRUPDGD GH &ODUNH GDV WHQV}HV GH IDVH GR VLVWHPD FRPR SRGH VHU REVHUYDGRDVHJXLU a b c v v v v v D E ª º ª º

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(43)

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Referências

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