95-00202_06_15_9363_Manual_PFC_en

download 95-00202_06_15_9363_Manual_PFC_en

of 72

description

Reactive Power

Transcript of 95-00202_06_15_9363_Manual_PFC_en

  • Manual of Power Factor CorrectionPeter Riese

    Manual of Power Factor CorrectionPeter Riese

    ,QIRUPDWLRQ7DEOHV)RUPXODV(YHU\WKLQJRQWKHVXEMHFWRISRZHUIDFWRUFRUUHFWLRQ

    IRUHQJLQHHUVDQGXVHUV

  • 2

  • 3FRAKOSRZHUIDFWRUFRUUHFWLRQ3)&V\VWHPVPDNHDPDMRUFRQWULEXWLRQWRDFKLHYLQJHQHUJ\HIFLHQF\DQG UHGXFLQJ&22HPLVVLRQVDQGDUH WKXVDQ LQGLVSHQVDEOHFRPSRQHQWRIPRGHUQHOHFWULFDOLQVWDOODWLRQV

    $WSUHVHQWGD\HOHFWULFDOSRZHU WDULIIVDQ\ LQYHVWPHQW LQD3)&V\VWHPXVXDOO\SD\V IRU LWVHOIZLWKLQRQHWRWKUHH\HDUVRUHYHQOHVV$IWHUWKDWWLPHWKH3)&V\VWHPRIIHUVDQLPSURYHGHQHUJ\EDODQFHDQGDGGHGFRPSDQ\SURWDELOLW\PRQWKDIWHUPRQWK,WLVWKHUHIRUHDSDUWLFXODUO\OXFUDWLYHLQYHVWPHQWZKHQWKHV\VWHPKDVDORQJVHUYLFHOLIHWKHORQJHULWFRQWLQXHVWRRSHUDWHWKHJUHDWHULVWKHUHWXUQIRU\RXUFRPSDQ\FRAKO3)&V\VWHPVDUHUHQRZQHGIRUWKHLUORQJRSHUDWLQJOLIHF\FOHWKHSRZHUFDSDFLWRUVLQVWDOOHGLQWKHPEHLQJH[FHSWLRQDOO\ORQJOLYHG

    FRAKOSRZHUFDSDFLWRUVDUHFRQVWUXFWHGZLWKWKUHHIHDWXUHVFUXFLDOWRUHOLDELOLW\DQGVDIHW\ Q 6HOIKHDOLQJFDSDFLWRUOPIRUSURWHFWLRQDJDLQVWYROWDJHSHDNV Q 6HJPHQWHGFDSDFLWRUOPIRUPD[LPXPUHOLDELOLW\ Q 0HFKDQLFDOIXVHVWRGLVFRQQHFWWKHFDSDFLWRUVDIHO\IURPWKHSRZHUVXSSO\LIDQH[FHVVLYHLQWHUQDOSUHVVXUHGHYHORSVGXHWRRYHUORDGLQJRUDWWKHHQGRILWVVHUYLFHOLIH

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

    Q 2YHUFXUUHQWXSWRWLPHVWKHUDWHGFXUUHQWDVFRQWLQXRXVORDG Q 3HDNLQUXVKFXUUHQWXSWRWLPHVWKHUDWHGFXUUHQW Q $PELHQWWHPSHUDWXUHXSWR& Q 6HUYLFHOLIHXSWRKRXUV Q 8SWRVZLWFKLQJF\FOHVSHUDQQXP

    )RUPDQ\\HDUVWKHTXDOLW\RIRXUPDQXIDFWXUHGSURGXFWVKDVEHHQUHJLVWHUHGDQGGRFXPHQWHGERWKLQWKHIDFWRU\DQGLQWKHHOG)RUWKLVRXURZQLQWHUQDOSURGXFWVWDQGDUGVZKLFKDUHVLJQLFDQWO\PRUHGHPDQGLQJWKDQ(1KDYHEHHQDSSOLHGIRUTXDOLW\DVVHVVPHQW7KLVLVWKHRQO\ZD\LQZKLFKDPDQXIDFWXUHUFDQSURPLVHWKDWSURGXFWTXDOLW\UHPDLQVDWDSHUPDQHQWO\KLJKOHYHO1RWRQO\LQWKHPDQXIDFWXUHRIRXUSURGXFWVEXWDOVRGXULQJWKHHQWLUHOLIHF\FOHZHSD\SDUWLFXODUDWWHQWLRQWRFRQVHUYLQJUHVRXUFHVPLQLPL]LQJHQHUJ\FRQVXPSWLRQDQGSURWHFWLQJWKHHQYLURQPHQW

    7KHTXDOLW\RIRXUSURGXFWVDQGRXUH[SHUWLVH LQ WKHLUDSSOLFDWLRQDUH WKHEDVLV IRUSURYLGLQJ WKHEHVWSRVVLEOHEHQHWV WRRXUFXVWRPHUV7KLVPDQXDOGHVFULEHV WKH WHFKQLFDO IXQGDPHQWDOVRXUPDQXIDFWXULQJSKLORVRSK\DQGRXURQJRLQJFRPPLWPHQWIRULQWHUHVWHGUHDGHUV,WSURYLGHVWKHEDVLFNQRZOHGJHQHHGHGWRVHOHFWLQVWDOODQGRSHUDWHRXU3)&V\VWHPV

    7HQLQJHQ-XO\

    3HWHU+HUEVW0DQDJLQJ'LUHFWRUFRAKO Kondensatoren- und Anlagenbau GmbH

  • Contents

    Basic theory 7$FWLYHSRZHU $FWLYHDQGUHDFWLYHSRZHU 5HDFWLYHSRZHU $SSDUHQWSRZHU 3RZHUIDFWRUFRVDQGWDQ :K\FRUUHFWSRZHUIDFWRU"

    Correction methods 11,QGLYLGXDOSRZHUIDFWRUFRUUHFWLRQ *URXSSRZHUIDFWRUFRUUHFWLRQ &HQWUDOSRZHUIDFWRUFRUUHFWLRQ +\EULGSRZHUIDFWRUFRUUHFWLRQ

    Determination of required capacitor rating 147DULIIV $SSUR[LPDWHHVWLPDWHV 'HWHUPLQDWLRQRIUHTXLUHGFDSDFLWRUUDWLQJE\PHDVXUHPHQW 0HDVXUHPHQWVZLWKUHFRUGLQJRIDFWLYHDQGUHDFWLYHSRZHU

    Applications 21,QGLYLGXDOFRUUHFWLRQRIGLVFKDUJHODPSV *URXSSRZHUIDFWRUFRUUHFWLRQIRUGLVFKDUJHODPSV ,QGLYLGXDOSRZHUIDFWRUFRUUHFWLRQIRUWUDQVIRUPHUV ,QGLYLGXDOSRZHUIDFWRUFRUUHFWLRQIRUPRWRUV 3RZHUIDFWRUFRUUHFWLRQV\VWHPV

    Performance characteristics 303RZHUFDSDFLWRUV 5HDFWLYHSRZHUFRQWUROUHOD\V

    Installation 36&XUUHQWWUDQVIRUPHU 2YHUFXUUHQWSURWHFWLRQDQGFDEOHV ,QJUHVVSURWHFWLRQ

    Capacitor calculation formulas 42

  • Harmonics 44:KDWDUHKDUPRQLFV" +RZDUHKDUPRQLFVSURGXFHG" :KHQFDQGDQJHURXVQHWZRUNUHVRQDQFHVRFFXU" :KDWHIIHFWGRHVWKHQHWZRUNFRQJXUDWLRQKDYHRQWKHSUREOHPRIKDUPRQLFV" 9ROWDJHDQGFXUUHQWORDGVRQ3)&V\VWHPVZLWKRXWGHWXQLQJ

    Designing for networks with harmonics 500HDVXUHVWRFRXQWHUDFWH[SHFWHGUHVRQDQFHV

    Maximum permissible harmonic levels 53(IIHFWRI3)&V\VWHPVZLWKRXWGHWXQLQJ (IIHFWRIGHWXQHG3)&V\VWHPV 9HUVLRQVRIGHWXQHG3)&V\VWHPV 0RQLWRULQJ3)&V\VWHPVLQRSHUDWLRQ

    $FWLYHKDUPRQLFOWHUV 2SHUDWLQJSULQFLSOHRIWKHDFWLYHKDUPRQLFOWHU $SSOLFDWLRQV

    Active against harmonics 63

  • Basic theory%HIRUHYHQWXULQJ LQWR WKHGHWDLOV LQ WKHGHVLJQRISRZHU IDFWRUFRUUHFWLRQV\VWHPVZHZRXOGUVWOLNHWRSUHVHQWDEULHIUHIUHVKHURIEDVLFDOWHUQDWLQJFXUUHQWFLUFXLWWKHRU\

    Active power

    :LWKDSXUHO\UHVLVWLYHORDGZLWKQRLQGXFWLYHRUFDSDFLWLYHFRPSRQHQWVVXFKDVLQDQHOHFWULFKHDWHUWKHYROWDJHDQGFXUUHQWFXUYHVLQWHUVHFWWKH]HURFRRUGLQDWHDWWKHVDPHSRLQW)LJ7KHYROWDJHDQGFXUUHQWDUHVDLGWREHLQSKDVH7KHSRZHU3FXUYHLVFDOFXODWHGIURPWKHSURGXFWRIWKHPRPHQWDU\YDOXHVRIYROWDJH9DQGFXUUHQW,,WKDVDIUHTXHQF\ZKLFKLVGRXEOHWKDWRIWKHYROWDJHVXSSO\DQGLVHQWLUHO\LQWKHSRVLWLYHDUHDRIWKHJUDSKVLQFHWKHSURGXFWRIWZRQHJDWLYHQXPEHUVLVSRVLWLYHDVRIFRXUVHLVWKHSURGXFWRIWZRSRVLWLYHQXPEHUV

    ,QWKLVFDVH(-V) (-I) = (+P)

    $FWLYHRUUHDOSRZHULVGHQHGDVWKDWFRPSRQHQWRI WKHSRZHUWKDW LVFRQYHUWHGLQWRDQRWKHU IRUPHJ KHDW OLJKW PHFKDQLFDO SRZHU DQG LVUHJLVWHUHGE\WKHPHWHU

    :LWKDSXUHO\UHVLVWLYHRURKPLFORDGLWLVFDOFXODWHGE\PXOWLSO\LQJWKHHIIHFWLYHYDOXHRIYROWDJH>9@E\WKHFXUUHQW>,@

    [W] [V] [A]P V I==

    Active and reactive power

    ,QSUDFWLFHKRZHYHULWLVXQXVXDOWRQGSXUHO\UHVLVWLYHORDGVVLQFHDQLQGXFWLYHFRPSRQHQWLVDOVRSUHVHQW7KLVDSSOLHVWRDOOFRQVXPHUVWKDWPDNHXVHRIDPDJQHWLFHOGLQRUGHUWRIXQFWLRQHJLQGXFWLRQPRWRUVFKRNHVDQGWUDQVIRUPHUV3RZHUFRQYHUWHUVDOVRUHTXLUHUHDFWLYHFXUUHQWIRUFRPPXWDWLRQSXUSRVHV7KHFXUUHQWXVHGWRFUHDWHDQGUHYHUVHWKHPDJQHWLFHOGLVQRWGLVVLSDWHGEXWRZVEDFNDQGIRUWKDVUHDFWLYHFXUUHQWEHWZHHQWKHJHQHUDWRUDQGWKHFRQVXPHU

    $V)LJVKRZVWKHYROWDJHDQGFXUUHQWFXUYHVQRORQJHULQWHUVHFWWKH]HURFRRUGLQDWHDWWKHVDPHSRLQWV$SKDVHGLVSODFHPHQWKDVRFFXUUHG:LWKLQGXFWLYHORDGVWKHFXUUHQWODJVEHKLQGWKHYROWDJHZKLOHZLWKFDSDFLWLYHORDGVWKHFXUUHQWOHDGVWKHYROWDJH,IWKHPRPHQWDU\YDOXHVRISRZHUDUHQRZFDOFXODWHGZLWKWKHIRUPXOD(P) = (V) (I)DQHJDWLYHSURGXFWLVREWDLQHGZKHQHYHURQHRIWKHWZRIDFWRUVLVQHJDWLYH

    V V

    Fig. 1 Voltage, current and power curve for a purely resistive load (M = 0)

  • ,Q WKLV H[DPSOH SKDVH GLVSODFHPHQW KDV EHHQ FKRVHQ 7KLV FRUUHVSRQGV WR DQLQGXFWLYH FRV RI 3DUW RI WKH SRZHUFXUYHFDQEHVHHQWREHLQWKHQHJDWLYHDUHD

    7KHDFWLYHSRZHULQWKLVFDVHLVJLYHQE\WKHIRUPXOD

    Reactive power

    ,QGXFWLYH UHDFWLYHSRZHURFFXUV LQPRWRUVDQG WUDQVIRUPHUVZKHQ UXQQLQJXQGHUQRORDGFRQGLWLRQV LI WKH FRSSHU LURQ DQG ZKHUH DSSURSULDWH IULFWLRQDO ORVVHV DUH LJQRUHG:LWKFRAKO SRZHU FDSDFLWRUVZH FDQ WKLQN LQ WHUPVRI YLUWXDOO\ SXUH FDSDFLWLYH UHDFWLYH SRZHUVLQFHWKHVHGLVSOD\H[WUHPHO\ORZORVVHVOHVVWKDQ

    ,I WKHYROWDJHDQGFXUUHQWFXUYHVDUHRXWRISKDVHRQHKDOIRI WKHSRZHUFXUYH OLHV LQWKH SRVLWLYH DUHD ZLWK WKH RWKHU KDOI LQ WKHQHJDWLYH DUHD )LJ 7KH DFWLYH SRZHU LVWKHUHIRUH]HURVLQFHWKHSRVLWLYHDQGQHJDWLYHDUHDVFDQFHOHDFKRWKHURXW

    Reactive power LV GHQHG DV WKDW power ZKLFK RZV EDFN DQG IRUWK EHWZHHQ WKHgenerator and the consumer at the same IUHTXHQF\DVWKHVXSSO\YROWDJHLQRUGHUIRUWKH PDJQHWLFHOHFWULF HOG WR EXLOG XS DQGGHFD\

    Apparent power

    7KHDSSDUHQWSRZHULVFULWLFDOIRUWKHUDWLQJRIHOHFWULFSRZHUQHWZRUNV*HQHUDWRUVWUDQVIRUPHUVVZLWFKJHDUIXVHVFLUFXLWEUHDNHUVDQGFRQGXFWRUFURVVVHFWLRQVPXVWEHDGHTXDWHO\GLPHQVLRQHGIRUWKHDSSDUHQWSRZHUWKDWUHVXOWVLQWKHV\VWHP

    [W] [V] [A]P V I== cos

    [var] [V] [A]Q V I== sin

    V V

    Fig. 2 Voltage, current and power with a resistive and an inductive load

    VV

    Fig. 3 Voltage, current and power curves XQGHUDSXUHO\UHDFWLYHORDG

  • 7KHDSSDUHQWSRZHULVWKHSURGXFWREWDLQHGE\PXOWLSO\LQJ WKH YROWDJH E\ WKH FXUUHQWZLWKRXWWDNLQJLQWRDFFRXQWWKHSKDVHGLVSODFHPHQW

    7KH DSSDUHQW SRZHU LV JLYHQ E\ WKH YHFWRUDGGLWLRQRIDFWLYHSRZHUDQGUHDFWLYHSRZHU

    3RZHUIDFWRUFRVDQGWDQ

    7KHFRVLQHRIWKHDQJOHRISKDVHGLVSODFHPHQWSKDVHDQJOHEHWZHHQFXUUHQWDQGYROWDJHLVD FRQYHQLHQW SDUDPHWHU IRU FDOFXODWLQJ WKHDFWLYHDQG UHDFWLYH FRPSRQHQWV RI SRZHU YROWDJHDQGFXUUHQW,QHOHFWULFDOHQJLQHHULQJSUDFWLFHWKLVSDUDPHWHUKDVFRPHWREHWHUPHGWKHSRZHUIDFWRU

    7KHSRZHUIDFWRUDWIXOOORDGLVQRUPDOO\JLYHQRQWKHQDPHSODWHVRIWKHHOHFWULFDOPDFKLQHV

    7KH WDQJHQW WDQ RI WKH SKDVH DQJOH LV DFRQYHQLHQWZD\RIH[SUHVVLQJWKHUDWLRRIWKHUHDFWLYHWRWKHDFWLYHSRZHU

    7KHVH WZR HTXDWLRQV VKRZ WKH UHODWLRQVKLSEHWZHHQ WKH FRVLQH DQG WKH WDQJHQW RI WKHSKDVHDQJOH

    $VWKHSRZHUGLVWULEXWLRQV\VWHPPXVWEHGLPHQVLRQHGWRFDUU\WKHDSSDUHQWSRZHUHIIRUWVDUHPDGH WRNHHS WKLVDV ORZDVSRVVLEOH ,IDSSURSULDWHO\GLPHQVLRQHGFDSDFLWRUVDUH LQVWDOOHG LQSDUDOOHOZLWKWKHFRQVXPHUVWKHUHDFWLYHFXUUHQWFLUFXODWHVEDFNDQGIRUWKEHWZHHQWKHFDSDFLWRUDQGWKHFRQVXPHUV7KLVPHDQVWKDWWKHUHVWRIWKHGLVWULEXWLRQQHWZRUNLVQRWVXEMHFWHGWRWKLVDGGLWLRQDOFXUUHQW,IDSRZHUIDFWRURILVDFKLHYHGE\WKLVPHDVXUHWKHRQO\FXUUHQWRZLQJLQWKHGLVWULEXWLRQV\VWHPLVDFWLYHFXUUHQW

    [VA] [V] [A]S V I==

    [VA] [W] [var]S P Q== ++2 2Fig. 4 Power triangle

    >:@>9$@cos == PS

    >YDU@>:@tan == QP

    costan

    ==++

    11 2

    tancos

    == 1 12

  • 7KHUHDFWLYHSRZHUQCFRUUHFWHGE\WKHFDSDFLWRU LV JLYHQ E\ WKH GLIIHUHQFH EHWZHHQ WKHLQGXFWLYH UHDFWLYH SRZHUQ1 EHIRUH FRUUHFWLRQDQGWKHUHDFWLYHSRZHUQ2DIWHUFRUUHFWLRQLH

    QC = Q1 - Q2.

    Why correct power factor?

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

    Fig. 5 3RZHU WULDQJOH VKRZLQJ WKH HIIHFW RIFRUUHFWLRQ

    [var] [W]Q PC == (tan tan ) 1 2

    Fig. 6 Active and reactive power in the power distribution system: without PFC

    Fig. 7 Active and reactive power in the power distribution system: with PFC

    GEN$FWLYHSRZHU3

    5HDFWLYHSRZHU4

    $FWLYHSRZHU3

    5HDFWLYHSRZHU4

    FRVM

    GEN$FWLYHSRZHU3

    Saving

    $FWLYHSRZHU3

    Saving

    FRVM

    5HD

    FWLYHSR

    ZHU47KHEHQHWV

    Q &RVWHIIHFWLYHXWLOL]DWLRQRI *HQHUDWRUVXWLOLW\FRPSDQ\ 7UDQVIRUPHUV &DEOLQJ 6ZLWFKJHDU

    Q Reduced losses Q Lower voltage drops

    KHQFH Q Lower energy costs!

  • Correction methods

    Individual power factor correction

    ,QWKHVLPSOHVWFDVHDQDSSURSULDWHO\VL]HGFDSDFLWRULVLQVWDOOHGLQSDUDOOHOZLWKHDFKLQGLYLGXDOLQGXFWLYH FRQVXPHU7KLV FRPSOHWHO\HOLPLQDWHV WKHDGGLWLRQDO ORDGRQ WKH FDEOLQJ LQFOXGLQJWKHFDEOHIHHGLQJWKHFRPSHQVDWHGFRQVXPHU7KHGLVDGYDQWDJHRIWKLVPHWKRGKRZHYHULVWKDWWKHFDSDFLWRULVRQO\XWLOL]HGGXULQJWKHWLPHWKDWLWVDVVRFLDWHGFRQVXPHULVLQRSHUDWLRQ$GGLWLRQDOO\LWLVQRWDOZD\VHDV\WRLQVWDOOWKHFDSDFLWRUVGLUHFWO\DGMDFHQWWRWKHPDFKLQHVWKDWWKH\FRPSHQVDWHVSDFHFRQVWUDLQWVLQVWDOODWLRQFRVWV

    $SSOLFDWLRQV Q 7R FRPSHQVDWH WKH QRORDG UHDFWLYH

    SRZHURIWUDQVIRUPHUV Q )RUGULYHVLQFRQWLQXRXVRSHUDWLRQ Q )RUGULYHVZLWKORQJSRZHUVXSSO\FDEOHV

    RUFDEOHVZKRVHFURVVVHFWLRQDOORZVQRmargin for error

    $GYDQWDJHV Q 5HDFWLYH SRZHU LV FRPSOHWHO\ HOLPLQDWHG

    IURPWKHLQWHUQDOSRZHUGLVWULEXWLRQV\VWHP Q /RZFRVWVSHUNYDU

    'LVDGYDQWDJHV Q 7KH3)&V\VWHPLVGLVWULEXWHGWKURXJKRXW

    WKHHQWLUHIDFLOLW\ Q +LJKLQVWDOODWLRQFRVWV Q $ODUJHURYHUDOOFDSDFLWRUSRZHUUDWLQJLV

    UHTXLUHGDVWKHFRLQFLGHQFHIDFWRUFDQQRWEHWDNHQLQWRDFFRXQW

    Group power factor correction

    (OHFWULFDOPDFKLQHVWKDWDUHDOZD\VVZLWFKHGRQDWWKHVDPHWLPHFDQEHFRPELQHGDVDJURXSDQGKDYHDMRLQWFRUUHFWLRQFDSDFLWRU$QDSSURSULDWHO\VL]HGXQLWLVWKHUHIRUHLQVWDOOHGLQVWHDGRIVHYHUDOVPDOOHULQGLYLGXDOFDSDFLWRUV

    Fig. 8 Typical individual power correction

  • $SSOLFDWLRQV Q )RUVHYHUDOLQGXFWLYHFRQVXPHUVSURYLGHG

    WKDWWKHVHDUHDOZD\VRSHUDWHGWRJHWKHU

    $GYDQWDJHV Q 6LPLODUWRWKRVHIRULQGLYLGXDOSRZHUIDFWRU

    FRUUHFWLRQEXWPRUHFRVWHIIHFWLYH

    'LVDGYDQWDJHV Q 2QO\ IRU JURXSV RI FRQVXPHUV WKDW DUH

    DOZD\VRSHUDWHGDWWKHVDPHWLPH

    Central power factor correction

    7KH3)&FDSDFLWDQFHLVLQVWDOOHGDWDFHQWUDOSRLQWIRUH[DPSOHDWWKHPDLQORZYROWDJHGLVWULEXWLRQERDUG7KLVV\VWHPFRYHUVWKHWRWDOUHDFWLYHSRZHUGHPDQG7KHFDSDFLWDQFHLVGLYLGHGLQWRVHYHUDOVHFWLRQVZKLFKDUHDXWRPDWLFDOO\VZLWFKHGLQDQGRXWRIVHUYLFHE\DXWRPDWLFUHDFWLYHSRZHUFRQWUROUHOD\VDQGFRQWDFWRUVWRVXLWORDGFRQGLWLRQV

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

    $SSOLFDWLRQV Q &DQ DOZD\V EH XVHG ZKHUH WKH XVHUV

    LQWHUQDO SRZHU GLVWULEXWLRQ V\VWHP LV QRWXQGHUGLPHQVLRQHG

    $GYDQWDJHV Q &OHDUFXWHDV\WRPRQLWRUFRQFHSW Q *RRGXWLOL]DWLRQRILQVWDOOHGFDSDFLWDQFH Q ,QVWDOODWLRQXVXDOO\UHODWLYHO\VLPSOH Q /HVV WRWDO LQVWDOOHG FDSDFLWDQFH VLQFH

    WKHFRLQFLGHQFHIDFWRUFDQEHWDNHQ LQWRDFFRXQW

    Q /HVVH[SHQVLYHIRUSRZHUGLVWULEXWLRQV\VWHPVWURXEOHGE\KDUPRQLFVDVFRQWUROOHGGHYLFHVDUHVLPSOHUWRFKRNH

    'LVDGYDQWDJHV Q 5HDFWLYHFXUUHQWVZLWKLQWKHXVHUVLQWHUQDOSRZHUGLVWULEXWLRQV\VWHPDUHQRWUHGXFHG Q $GGLWLRQDOFRVWVIRUWKHDXWRPDWLFFRQWUROV\VWHP

    Fig. 9 Typical group power factor correction

    Fig. 10 Typical central PFC system

    UHDFWLYHSRZHUFRQWUROUHOD\

  • Hybrid power factor correction

    (FRQRPLF FRQVLGHUDWLRQV RIWHQ VKRZ WKDW LW LV DGYDQWDJHRXV WR FRPELQH WKH WKUHHPHWKRGVGHVFULEHGDERYH

    Fig. 11 Typical hybrid PFC system

    UHDFWLYHSRZHUFRQWUROUHOD\

  • Determination of required capacitor rating

    Tariffs

    8WLOLW\FRPSDQLHVDVDUXOHKDYH[HGWDULIIVIRUWKHLUVPDOOHUSRZHUFRQVXPHUVZKLOHLQGLYLGXDOVXSSO\FRQWUDFWVDUHQHJRWLDWHGZLWKWKHODUJHUFRQVXPHUV

    :LWKPRVWSRZHUVXSSO\FRQWUDFWVWKHFRVWVIRUHOHFWULFDOSRZHUFRPSULVH Q 3RZHU >N:@ PHDVXUHG ZLWK D PD[LPXP GHPDQG PHWHU HJ PRQWKO\

    PD[LPXPGHPDQGRYHUDPLQXWHSHULRG Q $FWLYHHQHUJ\ >N:K@ PHDVXUHG ZLWK DQ DFWLYH FXUUHQW PHWHU XVXDOO\ VSOLW LQWR

    UHJXODUDQGRIISHDNWDULIIV Q 5HDFWLYHHQHUJ\ >NYDUK@ PHDVXUHG ZLWK D UHDFWLYH FXUUHQW PHWHU VRPHWLPHV VSOLW

    LQWRUHJXODUDQGRIISHDNWDULIIV

    ,WLVQRUPDOSUDFWLFHWRLQYRLFHWKHFRVWVRIUHDFWLYHHQHUJ\RQO\ZKHQWKLVH[FHHGVRIWKHDFWLYHSRZHUORDG7KLVFRUUHVSRQGVWRDSRZHUIDFWRUFRV ,WLVQRWVWLSXODWHGWKDWWKHSRZHU IDFWRUPXVWQHYHUGLSEHORZ WKLVYDOXHRI ,QYRLFLQJ LVEDVHGRQ WKHSRZHU IDFWRUPRQWKO\DYHUDJH8WLOLW\FRPSDQLHV LQVRPHDUHDVVWLSXODWHRWKHUSRZHUIDFWRUVHJRU

    :LWKRWKHUWDULIIVWKHSRZHULVQRWLQYRLFHGDVN:EXWDVN9$,QWKLVFDVHWKHFRVWVIRUUHDFWLYHHQHUJ\DUHWKHUHIRUHLQFOXGHGLQWKHSRZHUSULFH7RPLQLPL]HRSHUDWLQJFRVWVLQWKLVFDVHDSRZHUIDFWRUFRV PXVWEHDLPHGIRU,QJHQHUDOLWFDQEHDVVXPHGWKDWLID3)&V\VWHPLVFRUUHFWO\GLPHQVLRQHGWKHHQWLUHFRVWVIRUUHDFWLYHHQHUJ\FDQEHVDYHG

    Approximate estimates

    $FFXUDWHPHWKRGV IRU GHWHUPLQLQJ WKH UHTXLUHG UHDFWLYH FDSDFLW\ DUHJLYHQ LQD VXEVHTXHQWVHFWLRQRIWKLVPDQXDO6RPHWLPHVKRZHYHULWLVGHVLUDEOHWRHVWLPDWHWKHDSSUR[LPDWHRUGHURIPDJQLWXGHTXLFNO\&DVHVPD\DOVRRFFXUZKHUHDQHQJLQHHUKDVSHUIRUPHGDQDFFXUDWHFDOFXODWLRQEXW LVWKHQXQFHUWDLQRIWKHUHVXOW LQFDVHVRPHZKHUHDPLVWDNHKDVRFFXUUHGLQKLVRUKHUUHDVRQLQJ7KLVFDQWKHQEHXVHGWRYHULI\WKDWWKHUHVXOWVFDOFXODWHGKDYHWKHULJKWPDJQLWXGH

    Consumer Capacitor rating

    0RWRUVZLWKLQGLYLGXDO3)& RIPRWRUUDWLQJ7UDQVIRUPHUVZLWKLQGLYLGXDO3)& RIWUDQVIRUPHUFDSDFLW\

    IRUROGHUWUDQVIRUPHUV&HQWUDO3)& RIWUDQVIRUPHUFDSDFLW\ZKHQDLPLQJIRUFRV

    RIWUDQVIRUPHUFDSDFLW\ZKHQDLPLQJIRUFRV

    Table 1 $SSUR[LPDWHHVWLPDWHVIRUWKHUHTXLUHGFDSDFLWRUUDWLQJ

  • Consumer list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

    Determination of required capacitor rating by measurement

    Measurement of current and power factor$PPHWHUVDQGSRZHUIDFWRUPHWHUVDUHRIWHQLQVWDOOHGLQWKHPDLQORZYROWDJHGLVWULEXWLRQERDUGEXWFODPSPHWHUVDUHHTXDOO\HIIHFWLYH IRUPHDVXULQJFXUUHQW0HDVXUHPHQWVDUHPDGH LQ WKHPDLQVXSSO\OLQHHJWUDQVIRUPHURULQWKHOLQHIHHGLQJWKHHTXLSPHQWZKRVHSRZHUIDFWRULVWREHFRUUHFWHG0HDVXULQJWKHYROWDJHLQWKHSRZHUGLVWULEXWLRQV\VWHPDWWKHVDPHWLPHLPSURYHVWKHDFFXUDF\RI WKHFDOFXODWLRQRU WKH UDWHGYROWDJH HJRU9PD\VLPSO\EHXVHGLQVWHDG

    7KHDFWLYHSRZHU3LVFDOFXODWHGIURPWKHPHDVXUHGYROWDJH9DSSDUHQWFXUUHQW,SDQGSRZHUIDFWRU

    ,IWKHWDUJHWSRZHUIDFWRUFRVKDVEHHQVSHFLHGWKHFDSDFLWRUSRZHUUDWLQJFDQEHFDOFXODWHGIURPWKHIROORZLQJIRUPXOD,WLVKRZHYHUVLPSOHUWRUHDGRIIWKHIDFWRUIIURP7DEOHSDJHDQGPXOWLSO\LWE\WKHFDOFXODWHGDFWLYHSRZHU

    RU

    ([DPSOH Q 0HDVXUHGDSSDUHQWFXUUHQW,S $ Q $FWXDOSRZHUIDFWRUFRVDFWXDO Q 7DUJHWSRZHUIDFWRUFRVtarget Q 9ROWDJH9 9

    [W] [V] [A]P V IS== 3 10 3cos

    [var] [W]Q PC actual t et== (tan tan )arg

    [var] [W]Q P fC ==

    )URP7DEOHZHREWDLQ)DFWRUI 5HTXLUHGFDSDFLWRUUDWLQJ

    P == 3 397 248 0 86 10 3.P kW 146 6.

    C k== ==146 6 0 17 24 9. . . var

  • 1RWH0HDVXUHPHQWVPDGHDVGHVFULEHGDERYHQDWXUDOO\ RQO\JLYHPRPHQWDU\ YDOXHV7KH ORDGFRQGLWLRQVFDQKRZHYHU YDU\ FRQVLGHUDEO\GHSHQGLQJRQ WKH WLPHRIGD\DQG WKHVHDVRQRI WKH\HDU0HDVXUHPHQWVVKRXOG WKHUHIRUHEHPDGHE\VRPHRQHZKR LV IDPLOLDUZLWK WKHLQVWDOODWLRQ6HYHUDOPHDVXUHPHQWVVKRXOGEHPDGHHQVXULQJWKDWWKHFRQVXPHUVZKRVHSRZHUIDFWRU LV WR EH FRUUHFWHG DUH DFWXDOO\ VZLWFKHG RQ 7KHPHDVXUHPHQWV VKRXOG DOVR EHPDGHTXLFNO\LISRVVLEOHUHDGLQJDOOLQVWUXPHQWVVLPXOWDQHRXVO\VRWKDWDQ\VXGGHQFKDQJHRIORDGGRHVQRWGLVWRUWWKHUHVXOWV

    Measurements with recording of active and reactive power

    0RUHUHOLDEOHUHVXOWVDUHREWDLQHGZLWKUHFRUGLQJLQVWUXPHQWV7KHSDUDPHWHUVFDQEHUHFRUGHGRYHUDORQJHUSHULRGRIWLPHSHDNYDOXHVDOVREHLQJLQFOXGHG5HTXLUHGFDSDFLWRUSRZHUUDWLQJLVWKHQFDOFXODWHGDVIROORZV

    4& UHTXLUHGFDSDFLWRUUDWLQJ4L PHDVXUHGUHDFWLYHSRZHU3 PHDVXUHGDFWLYHSRZHUWDQtarget WKH FRUUHVSRQGLQJ YDOXH RI

    WDQ DW WKH WDUJHW FRV FDQEH REWDLQHG IURP 7DEOH HJZKHQFRV WKHFRUUHVSRQGLQJWDQ

    Measurement by reading meters7KHDFWLYHDQGUHDFWLYHFXUUHQWPHWHUVDUHUHDGDWWKHVWDUWRIDVKLIW(LJKWKRXUV ODWHUERWKPHWHUVDUHUHDGDJDLQ,IWKHUHKDVEHHQDEUHDNLQRSHUDWLRQGXULQJWKLVWLPHWKHHLJKWKRXUVPXVWEHH[WHQGHGE\WKHGXUDWLRQRIWKLVEUHDN

    RM UHDFWLYH FXUUHQW PHWHU UHDGLQJ DWstart

    RM2 UHDFWLYH FXUUHQW PHWHU UHDGLQJ DWQLVK

    AM DFWLYHFXUUHQWPHWHUUHDGLQJDWVWDUWAM2 DFWLYHFXUUHQWPHWHUUHDGLQJDWQLVK

    8VLQJWKLVFDOFXODWHGYDOXHRI WDQDQGWKHWDUJHWFRVZHFDQWKHQREWDLQWKHIDFWRUI IURP7DEOH7KHUHTXLUHGFDSDFLWRUSRZHUUDWLQJFDQWKHQEHFDOFXODWHGIURPWKHIROORZLQJHTXDWLRQZKHUHNLVWKH&7UDWLRRIWKHFXUUHQWWUDQVIRUPHUVIRUWKHPHWHUV

    [var] [var] [W]Q Q PC L== ( tan )target

    RM RMAM AM

    2 1

    2 1

    == tan

    Q AM AM k fC ==

    ( )2 1

    8

  • ([DPSOH7KHIROORZLQJPHWHUUHDGLQJVKDYHEHHQREWDLQHG

    Q $FWLYHFXUUHQWPHWHUUHDGLQJV $0 $02

    Q 5HDFWLYHFXUUHQWPHWHUUHDGLQJV 50 502

    7KH PHWHUV ZRUN ZLWK FXUUHQW WUDQVIRUPHUVUDWHGDW$VRKHUHWKH&7UDWLRN

    Uncorrected Target cos ,QGXFWLYHL &DSDFLWLYHFtan cos 0.80i 0.85i 0.90i 0.92i 0.95i 0.98i 1.00 0.98c 0.95c 0.92c 0.90c0.30 0.32 0.34 0.36 0.38 0.40 0.42 0.44 0.46 0.48 0.50 0.52 0.54 0.56 0.58 0.60 0.62 0.64 0.66 0.68 0.70 0.71 0.72 0.73

    Table 2 )DFWRUI WDQDFWXDOWDQtarget

    )RUD WDUJHWFRVMRI7DEOHJLYHVDIDFWRUI 7KHFDSDFLWRUSRZHUUDWLQJLVWKXV

    tan . .. .

    . ==

    ==321 2 311 2124 6 115 3

    1 08

    Q

    kC ==

    ==

    ( . . ) .

    . var

    124 6 115 3 308

    0 65

    22 67

  • Uncorrected Target cos ,QGXFWLYHL &DSDFLWLYHFtan cos 0.80i 0.85i 0.90i 0.92i 0.95i 0.98i 1.00 0.98c 0.95c 0.92c 0.90c0.74 0.75 0.76 0.77 0.78 0.79 0.80 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.90 0.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.00

    Table 2 )DFWRUI WDQDFWXDOWDQtarget

    Determination of required capacitor rating from the utility companys invoice

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

  • Kilowatt-hour tariff:LWKWKHNLORZDWWKRXUWDULII

    Q 0D[SRWHQWLDOGHPDQG Q $FWLYHHQHUJ\ Q 5HDFWLYHHQHUJ\

    DUHLQYRLFHGDVVHSDUDWHLWHPV

    :LWKPRVWSRZHUVXSSO\FRQWUDFWVQRFKDUJH LVPDGHIRUUHDFWLYHHQHUJ\ LI LWVPDJQLWXGH LVXSWRRI WKHDFWLYHHQHUJ\2QO\DPRXQWV WKDWH[FHHGWKLVJXUHPXVWEHSDLG IRU7KLVFRUUHVSRQGVDSSUR[LPDWHO\ WRDFRVRI ,W LV UHFRPPHQGHGKRZHYHU WRXVHDVOLJKWO\KLJKHUJXUHHJIRUFDOFXODWLRQSXUSRVHVLQRUGHUWRKDYHDVPDOOPDUJLQRIUHVHUYHLQWKHFDSDFLWRUSRZHUUDWLQJ

    Specimen calculationXVLQJJXUHVIURPWKHXWLOLW\FRPSDQ\VLQYRLFH

    Q $FWLYHSRZHU N: Q $FWLYHHQHUJ\UHJXODUWDULII N:K Q 5HDFWLYHWDULIIRIISHDN NYDUK

    7KHDFWXDOYDOXHRIFRVFDQQRZEHREWDLQHGIURP7DEOHVLQFHWKHFDOFXODWHGWDQRIFRUUHVSRQGVWRDFRVDFWXDORI

    $IDFWRUf = 0.65LVWKHQREWDLQHGIURP7DEOHFRVtarget = 0.92

    7KHUHTXLUHGFDSDFLWRUSRZHUUDWLQJLVFDOFXODWHGIURP

    $FWLYHSRZHU[IDFWRUI

    ,QWKLVFDVHDFDSDFLWRUUDWLQJRINYDUPXVWEHVHOHFWHG,IDSRVVLEOHIXWXUHH[SDQVLRQRIWKHIDFLOLW\LVDOVRWREHWDNHQLQWRDFFRXQWWKHQDVRPHZKDWODUJHUFDSDFLWDQFHHJNYDUFRXOGDOVREHVHOHFWHG

    Demand tariff,QWKLVFDVHWKHXWLOLW\FRPSDQ\EDVHVLWVLQYRLFHRQWKHPD[LPXPDPRXQWRISRZHUGUDZQE\WKHXVHUGXULQJ WKHJLYHQPRQWK ,I LW LVQRW WKHDFWLYHSRZHUEXW WKHDSSDUHQWSRZHU WKDW LVPHDVXUHGIRUWKLVSXUSRVHLWLVDGYLVDEOHWRVHOHFWDFDSDFLWRUSRZHUUDWLQJWKDWZLOODFKLHYHDFRVRI

    Specimen calculationXVLQJJXUHVIURPWKHXWLOLW\FRPSDQ\VLQYRLFH

    Q 0D[LPXPDFWLYHSRZHU N: Q FRVDFWXDO

    tan ( )( )

    , v

    ==

    ==

    reactive power regularactive power regular

    k

    19 245 aar,

    .hkWh17 820

    1 08==

    99 0 65 64 35kW k ==. . var

    max.cos .

    active power kW

    kVA

    ==

    ==

    1040 62

    168

  • )URP7DEOHZLWKDQXQFRUUHFWHGFRVDFWXDO DQGDWDUJHWFRVtarget DIDFWRUIRILVUHDGRII

    7KHUHTXLUHGFDSDFLWRUSRZHUUDWLQJFDQWKHQEHFDOFXODWHG

    $FWLYHSRZHU[IDFWRUI

    )RUWKLVGXW\DUHDFWLYHSRZHUFRQWUROUHOD\ZLWKDFDSDFLWRUSRZHUUDWLQJRIWRNYDULVDUUDQJHGDVDVZLWFKHGYDULDEOHEDQN

    104 1 27 132 08kW k ==. . var

  • Applications

    Individual correction of discharge lamps

    'LVFKDUJHODPSVPXVWEHRSHUDWHGZLWKDEDOODVW WR OLPLW WKH FXUUHQW RZLQJ WKURXJK WKHP+LJKUHDFWDQFH WUDQVIRUPHUV DUH XVHGPDLQO\IRU ORZSUHVVXUH VRGLXP YDSRXU ODPSVZKLOHDOORWKHUGLVFKDUJHODPSVDUHWWHGZLWKFKRNHVDVEDOODVW7KLVLQGXFWLYHUHDFWDQFHUHVXOWVLQDSRZHUIDFWRUFRVMRIDERXWZLWKFKRNHVDQGDERXWZLWKKLJKUHDFWDQFHWUDQVIRUPHUV7KH electronic ballast IRU XRUHVFHQW ODPSVdoes not need power factor correction

    Note: 7KH QRQOLQHDU GUDZ RI WKHVH ODPSVSDUWLFXODUO\ZKHQ WKHUH LV D ODUJH QXPEHU RIWKHP PHDQV WKDW SUREOHPV ZLWK KDUPRQLFVDUH WREHH[SHFWHG VHH WKH VHFWLRQRQKDUPRQLFV

    6LQJOHSKDVH FDSDFLWRUV FDQ EH FRQQHFWHGLQSDUDOOHORU LQVHULHV WRFRUUHFW WKHUHGXFHGSRZHUIDFWRUFDXVHGE\LQGXFWLYHEDOODVW

    In a single-lamp circuit and a series circuit ZLWKWZRODPSVLQWDQGHPWKHFDSDFLWRULVFRQQHFWHGLQparallelZLWKWKHODPSVVRWKDWWKHUDWHGFDSDFLWRUYROWDJHLVHTXDO WRWKH230 V VXSSO\YROWDJH

    Note: &DSDFLWRUV DUUDQJHG LQ SDUDOOHO ZLWKWKH SRZHU VXSSO\ IRUP WRJHWKHU ZLWK WKH QHWZRUN LPSHGDQFH DQ RVFLOODWLQJ FLUFXLW 7KLVFDQ DPSOLI\ DQ\ KDUPRQLFV WKDW DUH SUHVHQWDQG FDXVH LQWHUIHUHQFH LQ DXGLRIUHTXHQF\UHPRWH FRQWURO V\VWHPV GHVFULEHG ODWHU LQWKLVPDQXDO

    Fig. 12 ,QGLYLGXDOFRUUHFWLRQZLWKWKHFDSDFLWRULQSDUDOOHOZLWKWKHODPSHJW\SH/30VKXQWFDSDFLWRUZLWK9UDWLQJ

    FDSDFLWRU

    FKRNH

    starter

    XRUHVFHQWWXEH

    Fig. 13 7ZRODPSVFRQQHFWHG LQ WDQGHPZLWKWKHFDSDFLWRULQSDUDOOHOZLWKWKHPHJW\SH/30VKXQWFDSDFLWRUZLWK9rating

    FDSDFLWRU

    FKRNH

    starter

    XRUHVFHQWWXEHXRUHVFHQWWXEH

    starter

  • 22

    7KH VRFDOOHG lead-lag circuit LV SDUWLFXODUO\FRVWHIIHFWLYH DQG QHHGV RQO\ RQH FDSDFLWRU IRU WZR ODPSV 2QH ODPS FLUFXLW UHPDLQVSXUHO\LQGXFWLYHZKLOHWKHVHFRQGEDOODVWLVLQVHULHVZLWKDFDSDFLWRUIRUFRPSHQVDWLRQ7KLVFDSDFLWRUPXVWEHGHVLJQHGIRUDKLJKHUUDWHGYROWDJH450 VVLQFHarranging it in series ZLWKWKHFKRNHLQFUHDVHVWKHYROWDJHDFURVVLW

    'LVWXUEDQFHVGXHWRUHVRQDQFHVXFKDVH[SHULHQFHGZLWKFDSDFLWRUVDUUDQJHGLQSDUDOOHOGRQRWRFFXU,QDGGLWLRQWKHULSSOHHIIHFWRIWKHWZRLQGLYLGXDOODPSVLVLPSURYHGWKXVUHGXFLQJWKHULVN RI D GDQJHURXV VWURERVFRSLF HIIHFW RQURWDWLQJPDFKLQHU\

    7KLV LV ZK\ PDQ\ SRZHU VXSSO\ FRPSDQLHVVWLSXODWHWKDWXVHUVDUUDQJHWKHFDSDFLWRUDQGEDOODVWLQVHULHVDQGWKLVPHWKRGLVJHQHUDOO\UHFRPPHQGHG

    Selection table for discharge lamps7KLVWDEOHLQGLFDWHVWKHFDSDFLWRUVVXLWDEOHIRUWKHYDULRXVW\SHVRIODPSV

    Note:,QWKHFDVHRIORZORVVEDOODVWVPDOOHUFDSDFLWRUVWKDQVSHFLHGLQWKHWDEOHDUHDUUDQJHGLQVHULHV7KHUHFRPPHQGHGFDSDFLWDQFHFDQYDU\IURPRQHODPSPDQXIDFWXUHUWRWKHQH[WEXWWKHFDSDFLWDQFHVWDWHGRQWKHFKRNHLVDOZD\VGHQLWLYH7KHVHDUHWKHFRPPRQHVWFDSDFLWRUVXVHGLQVHULHVZLWKORZORVVEDOODVWV

    Lamp power rating[W]

    Shunt cap. capacitance[F]

    Series cap. capacitance[F]

    P)9 P)9 P)9 P)9 P)9

    Fig. 14 6SOLWSKDVH OHDGODJ FLUFXLW ZLWK WKHFDSDFLWRU LQ VHULHV ZLWK WKH ODPSVHJ W\SH/30,VHULHVFDSDFLWRUZLWK9UDWLQJ

    Lamp power rating[W]

    Shunt cap. capacitance[F]

    Series cap. capacitance[F]

    )OXRUHVFHQWODPSV WR 9 WR 9 9 WR 9 9 WR 9 90HWDOKDOLGHODPSV 9 9 9 9 9 9 9 9

    FDSDFLWRU

    FKRNH

    starter

    XRUHVFHQWWXEHXRUHVFHQWWXEH

    starter

    FKRNH

    LQGXFWLYHKDOI FDSDFLWLYHKDOI

  • 23

    Lamp power rating[W]

    Shunt cap. capacitance[F]

    Series cap. capacitance[F]

    +LJKSUHVVXUHPHUFXU\ODPSV 9 9 9 9 9 9 9 /RZSUHVVXUHVRGLXPODPSV 9 9 9 9 9 9 9

    Lamp power rating[W]

    Shunt cap. capacitance[F]

    Series cap. capacitance[F]

    +LJKSUHVVXUHVRGLXPODPSV 9 9 9 9 9 9 9

    Group power factor correction for discharge lamps

    ,I VHYHUDO GLVFKDUJH ODPSV DUH VZLWFKHG RQand off together and they are arranged symPHWULFDOO\ D FRPPRQ WKUHHSKDVH FDSDFLWRUDVVHPEO\ZLWK D UDWHG YROWDJH RI 9 FDQEHXVHG

    &DSDFLWRUSRZHUUDWLQJ

    ZKHUH

    4F FDSDFLWRUSRZHUUDWLQJLQNYDUQ QXPEHURIODPSVGLVWULEXWHGEHW

    ZHHQWKHWKUHHSKDVHV& VKXQW FDSDFLWDQFH SHU ODPS LQ

    )([DPSOH XRUHVFHQWODPSVHDFKUDWHGDW: 24 7 F 0.015 = 2.52 kvar

    Fig. 15 *URXSFRUUHFWLRQIRUVHYHUDOGLVFKDUJHODPSV GLVWULEXWHG EHWZHHQ WKH WKUHHSKDVHV HJ ZLWK W\SH /.7 SRZHUFDSDFLWRUSOXVDFFHVVRULHV

    FDSDFLWRU

    star

    ter

    XRUHVFHQWWX

    EH

    FKRNHFKRNHFKRNH

    star

    ter

    star

    ter

    XRUHVFHQWWX

    EH

    XRUHVFHQWWX

    EH

    Q n CC == 0 015.

  • Individual power factor correction for transformers

    7KHXWLOLW\FRPSDQ\UHJXODWLRQVIRUWKHDOORZDEOHVL]HRIFDSDFLWRUVSHUPDQHQWO\FRQQHFWHGWRDWUDQVIRUPHUYDU\DFFRUGLQJWRUHJLRQ%HIRUHLQVWDOOLQJD3)&V\VWHPRIWKLVW\SHLWLVWKHUHIRUHDGYLVDEOHWRFRQVXOWWKHXWLOLW\FRPSDQ\FRQFHUQHG7KHPRGHUQGHVLJQRIWUDQVIRUPHUIHDWXUHVFRUHODPLQDWLRQVWKDWRQO\UHTXLUHDVPDOODPRXQWRISRZHUIRUUHYHUVDORIPDJQHWL]DWLRQ,IWKHFDSDFLWRUSRZHUUDWLQJLVWRRKLJKRYHUYROWDJHFRQGLWLRQVPD\RFFXUGXULQJQRORDGRSHUDWLRQ

    &DSDFLWRUVZLWKEXLOWLQIXVHVZLWFKGLVFRQQHFWRUVDUHZHOOVXLWHGIRUWKLVGXW\,IFDSDFLWRUVZLWKIXVH VZLWFKGLVFRQQHFWRUV DUH FRQQHFWHG GLUHFWO\ WR WKH WUDQVIRUPHU WHUPLQDOV WKH GHVLJQHUVKRXOGEHDZDUHRIWKHIDFWWKDWWKHOLQHVWRWKHFDSDFLWRUDUHGLPHQVLRQHGIRUWKHIXOOVKRUWFLUFXLWSRZHU

    Transformer nominal rating [kVA] Capacitor power rating [kvar]

    WR WR WR WR

    Table 3 $SSUR[LPDWHFDSDFLWRUUDWLQJVIRULQGLYLGXDOSRZHUIDFWRUFRUUHFWLRQRIWUDQVIRUPHUVDFFRUGLQJWRWKH*HUPDQ$VVRFLDWLRQRI(QHUJ\DQG:DWHU,QGXVWULHV%'(:

    7KHFDSDFLWRUZLWKIXVHVZLWFKFDQEHGLUHFWO\FRQQHFWHGWRWKHWHUPLQDOVRIWKHWUDQVIRUPHU7KLV PHDQV WKDW WKH OLQHV WR WKH FDSDFLWRUPXVWEHGLPHQVLRQHG IRU WKH IXOOVKRUWFLUFXLWSRZHU

    Note: 7KH IXVH VZLWFKHV DUH RSHUDWHG XQGHUSXUHO\ FDSDFLWLYH ORDG 7KH\ PXVW WKHUHIRUHQHYHUEHZLWKGUDZQZKHQXQGHUORDGRUGDQJHURXVDUFLQJPD\RWKHUZLVHRFFXU

    ,I LW LV SRVVLEOH WR GLVFRQQHFW WKH FDSDFLWRUHYHQ ZKHQ WKH WUDQVIRUPHU LV VZLWFKHG RQD SRZHU FDSDFLWRU ZLWK DQ DXWRPDWLF FLUFXLWEUHDNHUPXVWEHXVHG

    Fig. 16 7\SLFDO WUDQVIRUPHU ZLWK SHUPDQHQWSRZHUIDFWRUFRUUHFWLRQ

  • Individual power factor correction for motors

    7KHFDSDFLWRUSRZHUUDWLQJVKRXOGEHVRPHRIWKHPRWRUDSSDUHQWSRZHUZKHQUXQQLQJXQGHUQRORDGFRQGLWLRQV

    5HTXLUHGFDSDFLWRUSRZHUUDWLQJ

    ZKHUH, QRORDGPRWRUFXUUHQW

    7KLVSURGXFHVDSRZHUIDFWRURIDERXWXQGHUIXOOORDGDQGXQGHUQRORDGFRQGLWLRQV7KH*HUPDQ$VVRFLDWLRQRI(QHUJ\DQG:DWHU,QGXVWULHV%'(:UHFRPPHQGVWKHDSSUR[LPDWHFDSDFLWRUUDWLQJVLQ7DEOHEHORZIRULQGXFWLRQPRWRUVUXQQLQJDWPLQ7KHYDOXHVJLYHQLQWKHWDEOHVKRXOGEHLQFUHDVHGE\IRUPRWRUVUXQQLQJDWPLQRUE\IRUPRWRUVUXQQLQJDWPLQ

    Motor nominal rating [kW] Capacitor power rating [kvar]

    WR WR WR WR WR WR WR WR WR

    WR

    WR

    WR DSSUR[RIPRWRUSRZHU

    RU DERYH DSSUR[RIPRWRUSRZHU

    Table 4 $SSUR[LPDWHYDOXHVVSHFLHGE\ WKH%'(:IRU LQGLYLGXDOSRZHU IDFWRUFRUUHFWLRQof motors

    Note: ,Q WKH FDVH RI HOHFWULFDO PDFKLQHV ZLWK LQGLYLGXDO SRZHU IDFWRU FRUUHFWLRQ ZKHUH WKHFDSDFLWRULVGLUHFWO\FRQQHFWHGWRWKHPRWRUWHUPLQDOVWKHFDSDFLWRUSRZHUUDWLQJPXVWRQQRDFFRXQWEHRYHUGLPHQVLRQHG7KLVDSSOLHVLQSDUWLFXODULIWKHPRWRUKDVDKLJKFHQWULIXJDOPDVVZLWK WKH WHQGHQF\ WR UXQRQDIWHU LW LV VZLWFKHGRII7KHVKXQWFDSDFLWRU FDQ WKHQH[FLWH WKHPDFKLQHWRDFWDVDJHQHUDWRUSURGXFLQJGDQJHURXVRYHUYROWDJHV7KHVHFDQFDXVHGDPDJHQRWRQO\WRWKHFDSDFLWRUEXWDOVRWRWKHPRWRU

    ,QWKHVLPSOHVWFDVHWKHFDSDFLWRULVGLUHFWO\FRQQHFWHGWRWKHPRWRUWHUPLQDOV7KHUHLVQRQHHGWRSURYLGHVSHFLDORYHUFXUUHQWSURWHFWLRQIRUWKHFDSDFLWRUEHFDXVHWKHSURWHFWLRQRIWKHPRWRUDOVRFRYHUVWKHFDSDFLWRU,IDPRWRUSURWHFWLYHVZLWFKLVLQVWDOOHGLWLVDGYLVDEOHWRUHDGMXVWWKHFXUUHQWWULSVHWWLQJWRDORZHUYDOXH

    [var] [V] [A]Q V IC == 0 9 3 0.

  • 5HGXFHGWULSFXUUHQW

    ZKHUHIth QHZFXUUHQWWULSVHWWLQJLQ$I1 PRWRUUDWHGFXUUHQWDVSHUQDPH

    SODWHLQ$FRV FRVDVSHUQDPHSODWHFRV2 FRVZLWK3)&DSSUR[

    7KHFDSDFLWRUGLVFKDUJHVGLUHFWO\WKURXJKWKHORZ RKPLF UHVLVWDQFH RI WKHPRWRUZLQGLQJV6SHFLDOGLVFKDUJH UHVLVWRUVDUH WKHUHIRUHQRWDEVROXWHO\QHFHVVDU\

    Individual power factor correction for elevator and hoist motors(OHYDWRU DQG KRLVW PRWRUV ZRUN ZLWK VDIHW\GHYLFHV VXFK DV WKH EUDNH UHOHDVH PDJQHWZKLFK DFWXDWHV D TXLFNDFWLQJ EUDNH LI SRZHUIDLOXUH RFFXUV ,I WKH FDSDFLWRU ZHUH GLUHFWO\LQ SDUDOOHO ZLWK WKHPRWRU LWV UHVLGXDO HQHUJ\FRXOG GHOD\ WKLV HPHUJHQF\ EUDNLQJ RU HYHQSUHYHQWLWIURPEHLQJHIIHFWLYH7KHFDSDFLWRUVPXVWWKHUHIRUHRQO\EHFRQQHFWHGWRWKHFLUFXLWbefore WKH VZLWFKJHDU $ VHSDUDWH FRQWDFWRUVKRXOG EH SURYLGHG IRU WKH FDSDFLWRU ZLWK LWVRZQUDSLGGLVFKDUJHIDFLOLW\HIIHFWHGHLWKHUE\PHDQVRIDGLVFKDUJHFKRNHFRQQHFWHGGLUHFWO\WRWKHFDSDFLWRURUZLWKUDSLGGLVFKDUJHUHVLVWRUVVZLWFKHGLQE\WKHFDSDFLWRUFRQWDFWRU

    $QLQWHUORFNPXVWEHLQFRUSRUDWHGLQWKHFRQWUROV\VWHPWRSUHYHQWWKHFDSDFLWRUEHLQJVZLWFKHGLQDJDLQEHIRUHWKHGLVFKDUJHWLPHKDVH[SLUHG

    Fig. 17 7\SLFDO SHUPDQHQWO\ LQVWDOOHG SRZHUIDFWRUFRUUHFWLRQIRUDPRWRU

    I Ith N== coscos

    12

    N:LQGXFWLRQPRWRUUXQQLQJDWPLQ

    NYDUSRZHUFDSDFLWRUHJ/.1'

    Fig. 18 Elevator motor with own capaci-tor switching contactor and rapid discharge facility

    FRQWUROOHU GLVFKDUJH

    FKR

    NH

    EUDNHUHOHDVH

    mag

    net

  • %HFDXVHRIWKHIUHTXHQF\RIVZLWFKLQJDQGWKHUHVXOWDQWZHDUDQGWHDURIWKHFRQWDFWRUVLWLVDGYLVDEOH WRXVHFDSDFLWRUVHFWLRQVZLWKVROLGVWDWHVZLWFKHV7KHVHVZLWFK WKHFDSDFLWRUV LQDQGRXWDW]HURFXUUHQWUHVSRQVHWLPHVLQWKHRUGHURIPLOOLVHFRQGVEHLQJDWWDLQDEOH

    Star-delta switch,IPDQXDOO\RSHUDWHGVWDUGHOWDVZLWFKHVDUHWREHXVHGZLWKWKUHHSKDVHSRZHUFDSDFLWRUVDYHUVLRQ GHVLJQHG WR FRQWURO PRWRUV ZLWK LQGLYLGXDOSRZHU IDFWRU FRUUHFWLRQPXVWEHVHOHFWHG 7KH FRQWDFW EULGJHV PXVW EH GHVLJQHGVR WKDWZKLOHVZLWFKLQJ IURPVWDU WRGHOWDno UDSLG UHFORVLQJRFFXUV WRVZLWFK WKHFDSDFLWRULQWR SKDVH RSSRVLWLRQ 7KLV ZRXOG LQYROYHH[FHVVLYHO\ KLJK UHFKDUJLQJ FXUUHQWV ZKLFKFRXOGGDPDJHQRWRQO\ WKHFDSDFLWRUEXWDOVRWKHVZLWFK:KHQWKHVZLWFKLVLQWKH2))SRVLWLRQ PRWRU VZLWFKHG RII WKH QHXWUDO EULGJHPXVWQRWEHFORVHGVRWKDWWKHFDSDFLWRULVQRWVKRUWFLUFXLWHG

    Star-delta contactor groups:LWK VWDUGHOWD FRQWDFWRU JURXSV LW PXVW EHHQVXUHG MXVW DV ZLWK VWDUGHOWD VZLWFKHVWKDWQRUDSLGGLVFRQQHFWLRQRFFXUVGXULQJWKHFKDQJHRYHU IURP VWDU WR GHOWD LH WKH OLQHFRQWDFWRU PXVW UHPDLQ HQHUJL]HG :KHQ WKHPRWRU LV VZLWFKHGRII WKH VWDU EULGJHPXVW EHRSHQ 7KH FDSDFLWRU FDQ EH FRQQHFWHG WR WKHORDGVLGHRI WKH OLQH FRQWDFWRU RU WR WKH WHUPLQDOV89DQG:RIWKHPRWRUQRWKRZHYHUWRLWVWHUPLQDOV:8DQG9VLQFHWKHVHDUHVKRUWFLUFXLWHGE\WKHVWDUEULGJH

    Note: 7KH FDSDFLWRU SRZHU UDWLQJPXVW RQ QRDFFRXQW EH RYHUGLPHQVLRQHG 7KLV DSSOLHV LQSDUWLFXODU LI WKH PRWRU KDV D KLJK FHQWULIXJDOPDVVZLWKWKHWHQGHQF\WRUXQRQDIWHULWLVVZLWFKHG RII 7KH VKXQW FDSDFLWRU FDQ WKHQ H[FLWHWKHPDFKLQH WR DFW DV D JHQHUDWRU SURGXFLQJGDQJHURXVRYHUYROWDJHV)RUWKLVUHDVRQZKHQVWDUGHOWDVWDUWLQJLVXVHGWKHVWDUEULGJHVKRXOGQRWUHPDLQFORVHGZKHQWKHVZLWFKLV2)),IWKHPDFKLQHLVH[FLWHGDVDJHQHUDWRUZLWKWKHVWDU

    FRQQHFWLRQPDGHHYHQKLJKHUYROWDJHVWKDQWKRVHZLWKWKHGHOWDFRQQHFWLRQDUHWREHH[SHFWHG

    Fig. 19 Manually operated star-delta switch, special version for motors with individual power factor correction

    L1 L1U1

    U1

    V1

    W1

    W1

    V1

    V2

    V2

    L2 L2

    U2

    U2

    W2

    W2

    L3 L3

    L3

    L2M3~

    0 Y

    L1

    Fig. 20 Motor with individual power factor correction and star-delta contactor

    U1

    V1

    W1 V2

    U2

    W2

    L3

    L2M3~

    L1

    L1 L2 L3

    N Y

  • Power factor correction systems

    3)&V\VWHPVFRQVLVWRIWKHIROORZLQJFRPSRQHQWV

    Q 5HDFWLYHSRZHUFRQWUROUHOD\ Q %DQNVRIFDSDFLWRUVVZLWFKHG LQDQGRXWE\FRQWDFWRUVRUVROLGVWDWHVZLWFKHV

    Q )LOWHUUHDFWRUVLIUHTXLUHG Q $XGLRIUHTXHQF\ VXSSUHVVLRQ FLUFXLWV LIUHTXLUHG

    Q *URXSRYHUFXUUHQWSURWHFWLRQ Q $WKHUPRVWDWLFDOO\FRQWUROOHGFRROLQJ IDQLIOWHUUHDFWRUVLQVWDOOHG

    7KH FRPSRQHQWV FDQ HLWKHU EH DVVHPEOHGRQDPRXQWLQJSODWHRU LIDPRGXODUV\VWHPFDSDEOHRIEHLQJH[WHQGHGDWD ODWHUGDWH LVFDOOHGIRULQDFRQWUROFDELQHW

    3)&V\VWHPVDUHLQVWDOOHGLQSRZHUGLVWULEXWLRQQHWZRUNV ZKHUH WKH UHDFWLYH SRZHU GHPDQGXFWXDWHV FRQVWDQWO\ 7KH FDSDFLWRU SRZHUUDWLQJ LVGLYLGHG LQWRVHYHUDOVHFWLRQV WKDWFDQEHVZLWFKHGLQDQGRXWE\DQDXWRPDWLFUHDFWLYHSRZHU FRQWURO UHOD\ YLD FRQWDFWRUV RU VWHDG\VWDWHVZLWFKHVWRVXLWORDGFRQGLWLRQV

    $ FHQWUDOL]HG 3)& V\VWHP LV HDV\ WRPRQLWRU 6WDWHRIWKHDUW UHDFWLYH SRZHU FRQWURO UHOD\VHQDEOHVZLWFKVWDWXVFRVDFWLYHFXUUHQWUHDFWRUFXUUHQWDQGWKHKDUPRQLFVSUHVHQW LQWKHQHWZRUNWREHPRQLWRUHGFRQWLQXRXVO\8VXDOO\WKHWRWDOFDSDFLWRUSRZHUUDWLQJFDQEHOHVVWKDQZLWKLQGLYLGXDOSRZHUIDFWRUFRUUHFWLRQVLQFHWKHFRLQFLGHQFHIDFWRUFDQEHWDNHQLQWRDFFRXQWZKHQ GHVLJQLQJ WKH FRPSOHWH LQGXVWULDO IDFLOLW\ 2SWLPXP XVH LV WKXVPDGH RI WKH LQVWDOOHGFDSDFLWRUSRZHUUDWLQJ

    Fig. 21 Typical modular design of a PFC system

  • Fig. 22 Typical PFC system circuit

    Voltage path

    3-phase supply7RORDGFLUFXLW6XSSO\VLGH

    &XUUHQWWUDQVIRUPHU$WR$

    RSHQHGFRVM

    FORVHGFRVM2

    3RZHUVXSSO\

    &ORVHGWRJLYHDODUP

    $ODUP

    FRVM

  • Performance characteristics

    Power capacitors

    FRAKOW\SH/.7VHULHVSRZHUFDSDFLWRUVDUH3&%IUHH7KH\DUHPDQXIDFWXUHGZLWKDVHOIKHDOLQJGLHOHFWULF,IWKLVLVSXQFWXUHGGXHWRRYHUORDGFRQGLWLRQVHJRYHUYROWDJHWKHFDSDFLWRUHOHPHQWHIIHFWLYHO\UHSDLUVLWVHOI$VDQDGGLWLRQDOSURWHFWLYHPHDVXUHHYHU\FDSDFLWRUKDVDUHOLDEOHLQWHUQDOVDIHW\GHYLFHZKLFKUHVSRQGVWRH[FHVVLYHSUHVVXUH

    7KUHHNH\IDFWRUVDUHLPSRUWDQWLQWKHRSHUDWLRQRISRZHUFDSDFLWRUVLQSRZHUGLVWULEXWLRQV\VWHPV Q 5XJJHGFRQVWUXFWLRQ Q /RQJOLIHH[SHFWDQF\ Q 6DIHW\XQGHURYHUORDGFRQGLWLRQV

    3RZHU FDSDFLWRUV DUH FRPSRQHQWV ZLWK D YHU\ KLJK SRZHU GHQVLW\ nowadays a reactive power of some 16 kvar being accommodated in a volume of one litre! 7KLV LVDFKLHYHGE\DWWDLQLQJDYHU\ ORZGLVVLSDWLRQIDFWRUDQGDKLJKGHJUHHRIXWLOL]DWLRQRI WKHGLHOHFWULF7RDFKLHYHD ORQJVHUYLFH OLIHGHVSLWHWKLVKLJKHQHUJ\GHQVLW\SDUWLDOGLVFKDUJHVLHQHJOLJLEOHHOHFWULFDOGLVFKDUJHVZLWKLQWKHGLHOHFWULFPDWHULDOPXVWEHVXSSUHVVHG

    Current-carrying capacity,QSRZHUGLVWULEXWLRQV\VWHPVZKHUHKDUPRQLFVDUHSUHVHQWWKHXVHUKDVWRH[SHFWRYHUYROWDJHVZKHQUHVRQDQFHVRFFXUDQGLQSDUWLFXODUKLJKHUFXUUHQWORDGV

    ,IIRUH[DPSOHWKHWKKDUPRQLFLVSUHVHQWLQDQHWZRUNZLWKRIWKHQHWZRUNYROWDJHWKHUPVYDOXHRI WKDW YROWDJH LVRQO\ LQFUHDVHGE\EXW WKH FXUUHQW LQ WKH FDSDFLWRUV LVWLPHVWKHLUUDWHGFXUUHQW)RUWKLVUHDVRQDKLJKFXUUHQWFDUU\LQJFDSDFLW\LVHYHQPRUHLPSRUWDQWWKDQWKHRYHUYROWDJHFDSDFLW\

    $WDVXSSO\YROWDJHRI9FRAKORQO\XVHVSRZHUFDSDFLWRUVZLWKDUDWHGYROWDJHRIDWOHDVW97KHLUSHUPLVVLEOHFXUUHQWFDUU\LQJFDSDFLW\DPRXQWVWR

    Q XSWRWLPHVWKHUDWHGFXUUHQWFRQWLQXRXVO\DQG Q XSWRWLPHVWKHUDWHGFXUUHQWIRUWUDQVLHQWFXUUHQWSHDNV

    Overvoltage capacityFRAKOSRZHUFDSDFLWRUVKDYHWKHIROORZLQJORDGLQJFDSDFLW\DVSHU(1DQGDQG,(&DQG

    Rated voltage 300 V 400 V 440 V 480 V 525 V 615 V

    KGDLO\ 9 9 9 9 9 9PLQGDLO\ 9 9 9 9 9 9PLQGDLO\ 9 9 9 9 9 9PLQGDLO\ 9 9 9 9 9 9

    2.00

    1.00

    0.00

    -2.00

    -1.00

    FDSDFLWRUFXUUHQW

  • Service life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

    7KHVWDWHGOLIHH[SHFWDQF\RIRXU/.7SRZHUFDSDFLWRUVLVWRRSHUDWLQJKRXUVGHSHQGLQJRQFDSDFLWRUW\SH

    Safety characteristics at the end of the capacitors service life$QLPSRUWDQWVDIHW\FRQVLGHUDWLRQLVWRHQVXUHWKDWLQWKHHYHQWRIWKHFDSDFLWRUEHLQJRYHUORDGHGDQGDWWKHHQGRI LWVVHUYLFHOLIHQRGDQJHUWRSHUVRQQHORUGDPDJHWRRWKHUHTXLSPHQWFDQDULVH7KLVVDIHW\IHDWXUHLVRQO\RIIHUHGE\PRGHUQSRZHUFDSDFLWRUVZLWKDEXLOWLQLQWHUUXSWLQJGHYLFHWKDW

    Q LVDFWLYDWHGE\H[FHVVLYHLQWHUQDOSUHVVXUH Q GLVFRQQHFWVWKHFDSDFLWRUIURPWKHSRZHUVXSSO\DQG Q WKXVSUHYHQWVWKHFDSDFLWRUFDQEHLQJGHVWUR\HG

    %HFDXVHRIWKHKLJKSRZHUGHQVLW\RIPRGHUQFDSDFLWRUVFRAKOXVHVWKHPRVWVRSKLVWLFDWHGDQGHIIHFWLYHLQWHUUXSWLQJGHYLFHWKHDQJHGGLDSKUDJPOLG

    7KHDOXPLQLXPFDQDQGOLGDUHUROOHGWRJHWKHUDQGERQGHGZLWKDQHODVWLFVHDODQW

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

    FRAKOSRZHUFDSDFLWRUVWKHUHIRUHRIIHUDKLJKGHJUHHRIVDIHW\ZKHQRYHUORDGHGDQGDWWKHHQGRIWKHLUVHUYLFHOLIH

    Fig. 23 Sectional view through a FRAKO power capacitor showing the mechanical fuses under excess internal pressure

  • 32

    Reactive power control relays

    FRAKO UHDFWLYH SRZHU FRQWURO UHOD\V W\SHV(05 (05 6 DQG 50 XVHPLFURSURFHVVRUWHFKQRORJ\WRSHUIRUPFRPSOH[PDQDJHPHQWWDVNVJRLQJZD\EH\RQGWKHFRQWURORI WKHSRZHU IDFWRU LWVHOI WRDJLYHQFRVM VHWSRLQW7KHLU LQQRYDWLYHFRQWUROFKDUDFWHULVWLFVPHHW DOO WKH UHTXLUHPHQWV RI SUHVHQWGD\LQGXVWULDOSRZHUVXSSO\QHWZRUNVJLYLQJWKHVHFRQWUROUHOD\VXQLYHUVDODSSOLFDELOLW\

    7KHLU KLJK DFFXUDF\ DQG VHQVLWLYLW\ HYHQ LQQHWZRUNV EDGO\ DIIHFWHG E\ KDUPRQLFV DUHZRUWK\RIPHQWLRQDVLVWKHLUDELOLW\WRPDVWHUFRQWLQXRXVRUVSRUDGLFUHYHUVHRZRISRZHULQQHWZRUNVZLWKLQSODQWJHQHUDWRUV

    $OOFRPSRQHQWVRI WKH3)&V\VWHPDUHFDUHIXOO\PDQDJHGE\WKHVHFRQWUROUHOD\VDQGDUHSURWHFWHG IURPRYHUORDGV7KLV UHVXOWV LQ WKHOLIHH[SHFWDQF\RIWKHFRPSOHWHV\VWHPEHLQJFRQVLGHUDEO\H[WHQGHG

    .H\IHDWXUHVLQGHWDLO Q Accurate measurement of cos M even in networks badly affected by harmonics with

    0.02 A to 5 A in the measurement circuit.([DFWPHDVXUHPHQWRIWKHSRZHUIDFWRURIWKHIXQGDPHQWDORVFLOODWLRQHYHQZKHQWKHFXUUHQWVPHDVXUHGDUHYHU\VPDOOPHDQVWKDWKLJKSUHFLVLRQLVDFKLHYHGLQWKHFRVMFRQWUROORRS

    Q Adherence to the set cos M as minimum value, while at the same time avoiding over-correction under low-load conditions.7KHVH VHHPLQJO\ FRQWUDGLFWRU\ SURSHUWLHV DUH DFKLHYHG E\PHDQV RI WKH SDWHQWHG EHQWFRQWUROFKDUDFWHULVWLFZKLFKHQVXUHVWKDWXQGHUQRUPDOQHWZRUNORDGLQJWKHSRZHUIDFWRULVFRUUHFWHGWRPDLQWDLQLWVWDUJHWYDOXHEXWZKHQWKHORDGLQJLVORZRYHUFRUUHFWLRQRIWHQDSUREOHPZLWKFRQYHQWLRQDOV\VWHPVGRHVQRWRFFXU

    Q Measurement and monitoring of harmonics in low voltage networksWKWKWKDQGWKKDUPRQLFV7KLVPRQLWRULQJIXQFWLRQNHHSVWKHXVHUSHUPDQHQWO\LQIRUPHGDERXWWKHQHWZRUNSRZHUTXDOLW\DQGZDUQLQJVDUHJLYHQLQJRRGWLPHZKHQHYHUFULWLFDOSDUDPHWHUVJREH\RQGVHW OLPLWV7KLVHQDEOHVGLVWRUWLRQV LQWKHSRZHUGLVWULEXWLRQV\VWHPDQGXVHUFLUFXLWVWREHFRPEDWHGDWDQHDUO\VWDJHE\WDNLQJDSSURSULDWHPHDVXUHV

    Q Overcurrent trip function for excessive r.m.s. current input of PFC systems without reactors.,QDGGLWLRQWRSURYLGLQJRYHUORDGSURWHFWLRQIRU3)&V\VWHPVZLWKRXWUHDFWRUVWKHIXQFWLRQDOVRSURWHFWVWKHFRPSOHWHHOHFWULFDOV\VWHPDJDLQVWKDUPRQLFUHVRQDQFH'LVFRQQHFWLRQLVFDUULHGRXWLIWKHVHWOLPLWLVH[FHHGHGIRUPRUHWKDQVHFRQGV2YHUFXUUHQWGLVFRQQHFWLRQLVTXLFNHUWRDFWWKDQWKHSURWHFWLYHGHYLFHDWWKHGLVWULEXWLRQERDUGZKLFKRQO\DIIRUGVSURWHFWLRQDJDLQVWVKRUWFLUFXLWVEHFDXVHRIWKHKLJKFXUUHQWFDUU\LQJFDSDFLW\RIWKHFDSDFLWRUV

    Fig. 24 Type EMR 1100 reactive power control relay

    EMR 1101Energy Management System

    Reactive Power Control Relay

    FRAKO Germany

    Man

    Set

    IQ

    IP

    +

    IS

    Harm

    cos phi / Power Factor

    Ampere

    Harmonics

    Regeneration

    Alarm

    Manual

    Ind

    Cap

    1

    12

    6

    7

    2 3 4 5

    8 9 10 11

  • 33

    Q The speed of response is dependent on the power demand.+LJKORDGXFWXDWLRQVDUHUHVSRQGHGWRTXLFNO\ZKLOHORZORDGXFWXDWLRQVDUHFRPSHQVDWHGIRUPRUHVORZO\7KLV HQVXUHV WKDW RQO\ FRPSOHWHO\ GLVFKDUJHG FDSDFLWRU HOHPHQWV DUHVZLWFKHG LQWR WKHQHWZRUNSelective switching in relation to the power demand with the least possible number of switching operations - cyclic control for all stages of equal capacitance.

    o 7KLVFRPELQDWLRQRIFRQWUROFKDUDFWHULVWLFVUHVXOWVLQWKHORZHVWSRVVLEOHQXPEHURIVZLWFKLQJRSHUDWLRQVWKXVPLQLPL]LQJZHDUDQGWHDUDQGFRQWULEXWLQJWRDORQJHUVHUYLFHOLIHIRUWKH3)&V\VWHP

    o $WWKHVDPHWLPHFULWLFDOQHWZRUNFRQVWHOODWLRQVDUHDYRLGHGE\DGMXVWLQJWKHFDSDFLWRUSRZHUUDWLQJTXLFNO\DQGDFFXUDWHO\WRPHHWGHPDQGZKHQKHDY\ORDGFKDQJHVRFFXU7KLVFRQWUDVWVZLWKWKHFRQYHQWLRQDOVWHSE\VWHSSURFHVV

    o :KHQFRUUHFWLQJIRUODUJHUHGXFWLRQVLQORDGDSURORQJHGRYHUFRUUHFWLRQRILGOLQJWUDQVIRUPHUVLVSUHYHQWHG

    o ,QQHWZRUNVZLWKKDUPRQLFGLVWRUWLRQDWWHQXDWLRQRIWKHKDUPRQLFFXUUHQWVE\WKHOWHUFLUFXLWVLVHQVXUHGLQWKHVKRUWHVWSRVVLEOHWLPH7KLVLVDUHOLDEOHPHDQVRISUHYHQWLQJWKHPD[LPXPSHUPLVVLEOHOHYHORIKDUPRQLFGLVWRUWLRQEHLQJH[FHHGHGZKHQDFXUUHQWFRQYHUWHULVVXEMHFWHGWRKHDY\ORDGFKDQJHV

    Q No-volt and zero-current release. 7KLVVDIHW\IXQFWLRQGLVFRQQHFWVWKH3)&V\VWHPIURPWKHSRZHUVXSSO\LIWKHUHLVDEUHDNLQWKHYROWDJHRUFXUUHQWPHDVXUHPHQWFLUFXLW7KLVSUHFDXWLRQLVWRSUHYHQWYLROHQWVXUJHVVXFKDVWKHV\VWHPZLWKLWVHQWLUHSRZHUGHPDQGEHLQJVZLWFKHGLQWRWKHLGOLQJWUDQVIRUPHUIROORZLQJDWUDQVLHQWLQWHUUXSWLRQRIYROWDJH$IWHUWKHYROWDJHLVUHHVWDEOLVKHGWKHFRQWUROUHOD\ VZLWFKHV LQ WKH DSSURSULDWH QXPEHU RI FDSDFLWRU VWDJHV DJDLQ WR VXLW WKH SRZHUGHPDQG

    Q Power factor control for systems with plant generators operating in parallel with the utility companys supply network and feeding active energy into that network. 7KH FRQWURO UHOD\V XVH IRXUTXDGUDQWPHDVXUHPHQW IRU WKLV IXQFWLRQ ,Q DGGLWLRQ YDULRXVGLIIHUHQWFRQWUROFKDUDFWHULVWLFFXUYHVFDQEHVHOHFWHGIRUWKHimport and export of active energy7KLVHQVXUHVWKDWZKHQHOHFWULFDOHQHUJ\LVEHLQJGUDZQIURPWKHQHWZRUNQRRYHUFRUUHFWLRQRFFXUVDQGZKHQIHHGLQJHQHUJ\LQWRWKHQHWZRUNQRUHDFWLYHFXUUHQWLVGUDZQ2QO\ WKLVFRPELQDWLRQRIFRQWUROFKDUDFWHULVWLFVFDQHQVXUH WKDWQRFRVWVDUH LQFXUUHG IRUUHDFWLYHFXUUHQWZKHQHQHUJ\LVEHLQJIHGLQWRWKHVXSSO\QHWZRUNIRUSURORQJHGSHULRGVRIWLPH

    Q Fixed amounts of capacitance for power factor correction independent of load. )L[HG QXPEHUV RI VZLWFKHGLQ FDSDFLWRU VWDJHV FDQ EH VHW WKDW DUH QRW LQWHJUDWHG LQ WKHFRQWUROSURFHVVEXWUHPDLQSHUPDQHQWO\VZLWFKHGLQIRUDVORQJDVWKHRSHUDWLQJYROWDJHLVDSSOLHGWRWKHFRQWUROUHOD\$OOVDIHW\IXQFWLRQVVXFKDVWKHQRYROWDQG]HURFXUUHQWUHOHDVHSOXVWKHRYHUFXUUHQWWULSDUHDOVRHIIHFWLYHIRUWKH[HGVWDJHVWKDWKDYHEHHQSURJUDPPHG

    Q Two control programs which work separately, with changeover activated by an external contact.7ZRSURJUDPVFDQEHDVVLJQHGGLIIHUHQWFRVMVHWSRLQWVDQGGLIIHUHQWFRQWUROFKDUDFWHULVWLFFXUYHV7KLVHQDEOHVFHUWDLQUHTXLUHPHQWVE\WKHXWLOLW\FRPSDQ\WREHFRPSOLHGZLWKVXFKDVJUHDWHUSRZHUIDFWRUFRUUHFWLRQGXULQJWKHGD\DQGOHVVDWQLJKW

  • Start-up and operation Q Automatic adjustment to the power supply network and the PFC system to be controlled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

    Q Indication and messages.$OOYDULDEOHVPHDVXUHGE\WKHFRQWUROUHOD\FDQEHVKRZQLQWKHGLVSOD\:KHQLQRSHUDWLRQWKHGLVSOD\VKRZVWKHDFWXDOFRVMPHDVXUHGDWWKHORFDWLRQZKHUHWKHLQVWUXPHQWWUDQVIRUPHULVLQVWDOOHG7KHGLVSOD\FDQDOVREHVZLWFKHGRYHUWRVKRZWKHIROORZLQJPHDVXUHGYDULDEOHV

    o $SSDUHQWDFWLYHDQGUHDFWLYHFXUUHQWVRIWKHSKDVHFRQGXFWRUWKDWLVPRQLWRUHG o 5HODWLYHKDUPRQLFOHYHOVRIWKHWKWKWKDQGWKKDUPRQLFVLQUHODWLRQWRWKHYROWDJHPHDVXUHGLQWKHFRQQHFWHGFLUFXLW

    o 7KHSHDNVWKDWRFFXUZKHQVHWOLPLWVDUHH[FHHGHGRYHUFXUUHQWKDUPRQLFVDQGFRVMFDQDOVREHDFFHVVHGDQGGLVSOD\HG

    Q Counting and display of the switching cycles of each control contact and appropriate messaging when the set limit has been reached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

    Fig. 25 Control process with a classical reactive power control relay using step-by-step switching

    VWDJ

    HUHDFWLRQ

    UHDFWLYHSR

    ZHU

    dem

    and

    DSSUR[VHFRQGV DSSUR[VHFRQGV

    VWDJ

    HUHDFWLRQ

    UHDFWLYHSR

    ZHU

    dem

    and

    VHFRQGV VHFRQGV

    Fig. 26 Control process with FRAKO state-of-the-art reactive power control UHOD\V 50 (05 6 DQGEMR 1100

  • Indicated parameters, messages and alarms

    Information Communicated via Alarm contact

    $FWXDOFRVM LQGLFDWRU GLVSOD\$SSDUHQWDFWLYHUHDFWLYHFXUUHQWWUXHYDOXHV

    LQGLFDWRU GLVSOD\

    +DUPRQLFVWKWKWKWK LQGLFDWRU GLVSOD\+DUPRQLFVWKWKWKWK DODUP GLVSOD\/(' FORVHV2YHUFXUUHQW DGMXVWDEOHIURP,nom to ,nom

    DODUP GLVSOD\/(' FORVHV

    $FWXDOFRVMRXWVLGHFKDUDFWHULVWLFFXUYHZLWKLQGLFDWLRQRIH[WUDFDSDFLWLYHSRZHUQHHGHG

    DODUP GLVSOD\/(' FORVHV FDQEHGLVDEOHG

    1XPEHURIVZLWFKLQJF\FOHVSHUFRQWUROFRQWDFW

    LQGLFDWRU GLVSOD\

    6HWOLPLWIRUQXPEHURIVZLWFKLQJF\FOHVH[FHHGHG

    DODUP GLVSOD\/(' FORVHV

    1RPHDVXUHGYROWDJH DODUP GLVSOD\ FORVHV1RPHDVXUHGFXUUHQW message GLVSOD\&RQWUROUHOD\GHWHFWVQRFDSDFLWDQFHDWDQ\FRQWUROFRQWDFW

    DODUP GLVSOD\ FORVHV

    &DSDFLWRUVWDJHVVZLWFKHGLQ LQGLFDWRU /('1RRSHUDWLQJYROWDJH FORVHV

  • Installation

    Current transformer

    $ FXUUHQW WUDQVIRUPHU LV QHFHVVDU\ WR RSHUDWH3)&V\VWHPV7KLVLVnot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

    ,I IXUWKHU LQVWUXPHQWV QHHG WR EH SRZHUHGIURPWKHVDPHFXUUHQW WUDQVIRUPHU WKLVPXVWEH WDNHQ LQWR DFFRXQW ZKHQ VSHFLI\LQJ LWVUDWLQJ

    /RVVHVDOVRRFFXU LQ WKHFXUUHQW WUDQVIRUPHUZLULQJ DQG WKHVH PXVW DOVR EH WDNHQ LQWRDFFRXQW LI WKHUH DUH ORQJ OHQJWKV RI FDEOHEHWZHHQ WKH FXUUHQW WUDQVIRUPHU DQG WKHUHDFWLYHSRZHUFRQWUROUHOD\

    Power losses in copper conductorsIURPWKHFXUUHQWWUDQVIRUPHUZLWKDVHFRQGDU\FXUUHQWRI$

    Cross section

    [mm]

    Losses per metre of two-wire line[VA]

    Fig. 27 Correctly installed current transformer registers load current and capacitor current

    UHDFWLYHSRZHUFRQWUROUHOD\

    Fig. 28 Incorrect! The current transformer only registers the load current: the capacitor bank is switched in but not out again. The reactive power control relay gives the message C = 0 (no capacitor current can be measured)

    UHDFWLYHSRZHUFRQWUROUHOD\

  • Note:7KHFXUUHQWWUDQVIRUPHUPXVWEHLQVWDOOHGLQRQHRI WKH WKUHHSKDVHVVR WKDW WKHHQWLUHFXUUHQW WR WKHFRQVXPHUV UHTXLULQJ3)&DQGWKHFDSDFLWRUFXUUHQWRZWKURXJKLWDVVKRZQLQWKHGLDJUDPVRQWKHOHIW7KHWHUPLQDO3. LVFRQQHFWHG WR WKHVXSSO\VLGH WHUPLQDO3/WRWKHFRQVXPHUVLGH

    Caution::KHQWKHSULPDU\FLUFXLW LVEURNHQYROWDJHVXUJHVRFFXUZKLFKFRXOGGHVWUR\WKHFXUUHQWWUDQVIRUPHU7KHWHUPLQDOV6NDQG6OPXVWWKHUHIRUHEHVKRUWFLUFXLWHGEHIRUHWKHWUDQVIRUPHUFLUFXLWLVEURNHQ

    Overcurrent protection and cables

    :KHQLQVWDOODWLRQZRUNLVFDUULHGRXWWKHUHJXODWLRQV9'(DQG9'(RIWKH*HUPDQ$VVRFLDWLRQIRU(OHFWULFDO(OHFWURQLF,QIRUPDWLRQ7HFKQRORJLHVWKHJHQHUDOJXLGHOLQHVRIWKH%'(:*HUPDQ$VVRFLDWLRQRI(QHUJ\DQG:DWHU,QGXVWULHVDQGWKHFRQGLWLRQVRIVXSSO\RIWKHXWLOLW\FRPSDQ\FRQFHUQHGPXVWEHFRPSOLHGZLWK9'(3DUWVWDWHVWKDWFDSDFLWRUXQLWVPXVWEHVXLWDEOHIRUDFRQWLQXRXVUPVFXUUHQWRIWLPHVWKHFXUUHQWWKDWLVGUDZQDWWKHVLQXVRLGDOUDWHGYROWDJHDQGQRPLQDOIUHTXHQF\,IWKHFDSDFLWDQFHWROHUDQFHRI[&1 is DOVRWDNHQLQWRDFFRXQWWKHPD[LPXPDOORZDEOHFXUUHQWFDQUHDFKYDOXHVRIXSWR[,17KLVRYHUORDGFDSDELOLW\WRJHWKHUZLWKWKHKLJKLQUXVKFXUUHQWWRWKHFDSDFLWRUVPXVWEHWDNHQLQWRDFFRXQWZKHQGHVLJQLQJSURWHFWLYHGHYLFHVDQGFDEOHFURVVVHFWLRQV

    Note: FRAKOSRZHUFDSDFLWRUVRIIHUDFXUUHQWORDGFDSDFLW\RIXSWR[,1

    400 V / 50 Hz 525 V / 50 Hz 690 V / 50 HzPower Current OCP Cross

    sectionCurrent OCP Cross

    sectionCurrent OCP Cross

    section[kvar] [A] [A] [mm2] [A] [A] [mm2] [A] [A] [mm2]

    [ [ [ [ [ [

    [ [ [ [ [ [ [ [ [

    [ [ [ [ [ [

    [ [ [

    Table 5 2YHUFXUUHQW SURWHFWLRQ 2&3 DQG VXSSO\ FDEOH FURVV VHFWLRQV DFFRUGLQJ WR9'(3DUWOD\RXWPHWKRG&

    Fig. 29 Incorrect! The current transformer only registers the capacitor current: the capa-citor is not switched in. The reactive power control relay gives the message I = 0 (no current in transformer circuit)!

    UHDFWLYHSRZHUFRQWUROUHOD\

  • 400 V / 50 Hz 525 V / 50 Hz 690 V / 50 HzPower Current OCP Cross

    sectionCurrent OCP Cross

    sectionCurrent OCP Cross

    section[kvar] [A] [A] [mm2] [A] [A] [mm2] [A] [A] [mm2]

    [ [ [ [ [ [

    [ [ [ [ [ [

    [ [ [ [ [ [ [ [ [

    [ [ [ [ [ [ [ [ [

    [ [ [ [ [ [

    [ [ [ [ [ [

    [ [ [ [ [ [

    [ [ [ [ [ [ [ [ [

    [ [ [ [ [ [ [ [ [ [[ [ [ [[ [ [ [[ [[ [ [[ [[ [ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[ [[

    Table 5 2YHUFXUUHQW SURWHFWLRQ 2&3 DQG VXSSO\ FDEOH FURVV VHFWLRQV DFFRUGLQJ WR9'(3DUWOD\RXWPHWKRG&

  • Conductor cross section

    NYM NYY NYCY/NYCWY H05VV-F H07RN-F

    [mm2] [mm] [mm] [mm] [mm] [mm] [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [ [

    Table 6 2XWHUGLDPHWHUVRIFDEOHVDQGFRQGXFWRUV

  • 40

    NYM Light plastic-sheathed cableNYY Cable with plastic sheathNYCY Cable with concentric conductor

    and plastic sheathNYCWY Cable with concentric, waveconal

    conductor and plastic sheathH05VV-F

    cable (NLH. NMH)H07RN-F

    cable (NSH)

    Metric thread Pg Cable outer diameter Knockout diameter

    [mm]

    M 16 x 1.5 11 6.5 - 10.5 19.0

    - 13.5 8.0 - 12.5 21.0

    M 20 x 1.5 16 10.0 - 15.0 23.0

    M 25 x 1.5 21 12.0 - 20.0 29.0

    M 32 x 1.5 29 19.0 - 26.5 38.0

    M 40 x 1.5 36 29.0 - 34.0 49.0

    - 42 34.0 - 41.0 55.0

    M 50 x 1.5 48 40.0 - 45.0 60.0

    Table 7 Cable entry with cable glands

    Ingress protection

    numbers specify the protection against solid objects and liquids respectively. The following are the most frequently encountered combinations:

    Protection Against accidental contact

    Against solid objects Against liquids

    IP 00 none none none

    IP 10 against accidental or inadvertent contact

    over 50 mm diameter none

    IP 20objects up to 80 mm long

    over 125 mm diameter none

    IP 30 against tools and wires thicker than 2.5 mm

    over 25 mm diameter none

    IP 31 against tools and wires thicker than 2.5 mm

    over 25 mm diameter drops of water falling vertically

    IP 40 against wires or strips thicker than 1 mm

    over 1 mm diameter none

    Table 8 Common ingress protection codes

  • 41

    Protection Against accidental contact

    Against solid objects Against liquids

    IP 41 against wires or strips thicker than 1 mm

    over 1 mm diameter drops of water falling vertically

    IP 42 against wires or strips thicker than 1 mm

    over 1 mm diameter drops of water falling at up to 15 from the vertical

    IP 43 against wires or strips thicker than 1 mm

    over 1 mm diameter water sprayed at up to 60 from the vertical

    IP 54 complete protection dust deposits water splashed from all directions

    IP 65 complete protection dust ingress water jets from all directions

    Table 8 Common ingress protection codes

  • Capacitor calculation formulas

    &DSDFLWRUSRZHUUDWLQJ VLQJOHSKDVH

    Q C V fC n== 2 2

    ([DPSOH)DW9+]2 YDU NYDU

    &DSDFLWRUSRZHUUDWLQJ ZLWKGHOWDFRQQHFWLRQ

    Q C V fC n== 2 2 ([DPSOH[)DW9+]2 NYDU

    &DSDFLWRUSRZHUUDWLQJ ZLWKVWDUFRQQHFWLRQ

    Q C V fC n== ( / )3 22 ([DPSOH[)DW9+]2 NYDU

    &DSDFLWRUSKDVHFXUUHQW I QV

    C== 3

    Q I VC == 3or

    ([DPSOHNYDUDW9 $

    6HULHVUHVRQDQWIUHTXHQF\IrDQGGHWXQLQJIDFWRUSRIFDSDFLWRUVZLWKOWHUUHDFWRUV orf f

    pr n==

    1 p ffn

    r==

    2

    ([DPSOHS GHWXQLQJIDFWRULQ+]QHWZRUNfr +]

    &DSDFLWRUSRZHUUDWLQJ WKUHHSKDVHZLWKOWHUUHDFWRUV Q

    C V fpC

    n==

    3 2

    1

    2

    ([DPSOH[)DW9+]ZLWKGHWXQLQJIDFWRUS NYDU

  • &DOFXODWLRQRISRZHUIDFWRUFRVM and tan M

    orcos == PScos

    tan

    ==

    ++1

    1 2cos ==

    ++

    1

    12Q

    P

    or

    or ortan == QPtan

    cos

    ==

    1 12 tan ==

    1 12PS

    Key to symbols9 YROWDJH>9@ 4& FDSDFLWRUSRZHUUDWLQJ>YDU@, FXUUHQW>$@ & FDSDFLWDQFH>)@IDUDGfn QHWZRUNIUHTXHQF\>+]@ 3 DFWLYHSRZHU>:@fr VHULHVUHVRQDQWIUHTXHQF\>+]@ 6 DSSDUHQWSRZHU>9$@S GHWXQLQJIDFWRU>@ 4 UHDFWLYHSRZHU>YDU@

  • Harmonics

    What are harmonics?

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

    Linear loadsDUH Q 2KPLFUHVLVWDQFHVUHVLVWDQFHKHDWHUVOLJKWEXOEVHWF Q 7KUHHSKDVHPRWRUV Q &DSDFLWRUV

    Non-linear loadsKDUPRQLFVJHQHUDWRUVDUH Q 7UDQVIRUPHUVDQGFKRNHV Q (OHFWURQLFSRZHUFRQYHUWHUV Q 5HFWLHUVDQGFRQYHUWHUVHVSHFLDOO\ZKHQFRQWUROOLQJYDULDEOHVSHHGLQGXFWLRQPRWRUV Q ,QGXFWLRQDQGHOHFWULFDUFIXUQDFHVZHOGLQJHTXLSPHQW Q 8QLQWHUUXSWLEOHSRZHUVXSSOLHV836V\VWHPV Q 6LQJOHSKDVHVZLWFKHGPRGHSRZHUVXSSO\XQLWVIRUPRGHUQHOHFWURQLFORDGVVXFKDVWHOHYLVLRQV9&5V FRPSXWHUV PRQLWRUV SULQWHUV WHOHID[ PDFKLQHV HOHFWURQLF EDOODVWV FRPSDFW HQHUJ\VDYLQJODPSV

    (YHU\SHULRGLFVLJQDOZLWKD IUHTXHQF\I UHJDUGOHVVRI WKHZDYHIRUPFRQVLVWVRI WKHVXPRIWKHIROORZLQJ

    Q 7KHVLQHFRPSRQHQWRIWKHIUHTXHQF\INQRZQDVWKHIXQGDPHQWDOFRPSRQHQWRUK Q 7KHVLQHFRPSRQHQWVRIWKHLQWHJUDOPXOWLSOHVRIWKHIUHTXHQF\INQRZQDVWKHKDUPRQLFVKn Q ,QVRPHFDVHV'&FRPSRQHQWVFDQDOVREHSUHVHQW

    y h ht t t( ) ( ) ( ) ...== ++1 3

    Fig. 30a Analysing a periodic signal into its component harmonics

    += ...

    yW hW hW

  • +DUPRQLFVFDQEHGLYLGHGLQWR Q Even harmonicsQGWKWKHWFDVDUXOHRQO\RFFXUGXHWRVXGGHQORDGYDULDWLRQVRUIDXOWVLQFRQYHUWHUV

    Q Odd harmonicsUGWKWKHWF o Harmonics divisible by 3UGWKWKHWFRFFXU GXH WR DV\PPHWULFDO ORDGV DQG VLQJOHSKDVH VRXUFHV RI KDUPRQLFV 7\SLFDOVRXUFHV2IFHEXLOGLQJVKRVSLWDOVVRIWZDUHFRPSDQLHVEDQNVHWF)DFWRULHVZLWKSKDVHZHOGLQJHTXLSPHQW3UREOHP7KHKDUPRQLFFXUUHQWVLQWKHQHXWUDOFRQGXFWRUDUHFXPXODWLYH

    o Harmonics not divisible by 3WKWKWKWKHWFRFFXUGXHWRSKDVHVRXUFHVRIKDUPRQLFVWKDQGWKKDUPRQLFVIURPSXOVHFRQYHUWHUVWKDQGWKKDUPRQLFVIURPSXOVHFRQYHUWHUV3UREOHP7KHKDUPRQLFVDUHWUDQVPLWWHGYLDWKHWUDQVIRUPHU

    7KHWRWDOKDUPRQLFGLVWRUWLRQTHDLVWKHUHVXOWRIWKHYHFWRUDGGLWLRQRIDOOKDUPRQLFVSUHVHQWDQGLVDVDUXOHH[SUHVVHGDVDSURSRUWLRQRIWKHIXQGDPHQWDOIUHTXHQF\WKXVSURYLGLQJDTXLFNRYHUYLHZRIQHWZRUNSRZHUTXDOLW\

    (DFKKDUPRQLFFDQEHFRQVLGHUHGDVDQLQGLYLGXDOV\VWHPZLWKLWVRZQSKDVHDQJOH

    7KLVUHVXOWVLQDGLIIHUHQFHEHWZHHQFRVIXQGDPHQWDOIUHTXHQF\DQG3)SRZHUIDFWRURYHUDOOKDUPRQLFV

    Fig. 30b Cumulative effect of the 3rd harmonic current in the neutral conductor

    Q Phase L1

    Q Phase L2

    Q Phase L3

    o Current in the neutral conductor:

    &XUUHQWRIWKHUGKDUPRQLF+]

    &XUUHQWRIWKHIXQGDPHQWDOIUHTXHQF\+]

  • +DUPRQLFVDUHJHQHUDWHGQRWRQO\LQLQGXVWULDOLQVWDOODWLRQV EXW DOVR LQFUHDVLQJO\ LQ SULYDWHKRXVHKROGV

    $V D UXOH WKH GHYLFHV JHQHUDWLQJ WKHVH KDUPRQLFVRQO\IHHGLQWKHRGGRUGHUVVRWKDWLWLVRQO\WKHUGWKWKWKWKHWFKDUPRQLFVWKDWDUHHQFRXQWHUHG

    How are harmonics produced?

    Q ,QDFRPPHUFLDOIDFLOLW\VRZQORZYROWDJHQHWZRUNHVSHFLDOO\ZKHQYDULDEOHVSHHGGULYHVDUHLQVWDOOHG

    Q ,QHYHU\KRXVHKROGLQHYHU\WHOHYLVLRQFRPSXWHUDQGLQFRPSDFWHQHUJ\VDYLQJODPSVZLWKHOHFWURQLFEDOODVWV7KHVKHHUQXPEHURI WKHVH ORDGV LQ WKHHYHQLQJVZLWK WKHFXUUHQWV LQSKDVHJLYHVULVHWRKLJKOHYHOVRIKDUPRQLFVLQVRPHPHGLXPYROWDJHQHWZRUNV

    What is the level of these harmonics if no PFC system has yet been installed?D,QDIDFLOLW\VRZQORZYROWDJHV\VWHP

    GHSHQGLQJRQWKHSRZHURIWKHLQVWDOOHGFRQYHUWHUVDQGUHFWLHUV

    ,IIRUH[DPSOHDODUJHSXOVHFRQYHUWHULVLQVWDOOHGLQWKHQHWZRUNDQGLWVSRZHUUDWLQJLVRIWKHWUDQVIRUPHUQRPLQDOUDWLQJWKLVJLYHVULVHWRDERXW

    Q 4% of the 5th harmonic (250 Hz) and Q 3% of the 7th harmonic (350 Hz)

    Fig. 30c Network current and voltage superposed with the following har-PRQLFV RI WKH WK KDUPRQLFRI WKHWKKDUPRQLFDQGof the 11th harmonic

    &XUUHQW9ROWDJH

    Fig. 31 Line current of a converter for induction motors

    Fig. 32 &XUUHQWRIDSRZHUUHFWLHU

  • ,WLVPRUHXVXDOKRZHYHUIRUVHYHUDOVPDOOFRQYHUWHUVWKDWDUHQRWOLQNHGWRHDFKRWKHUWREHLQVWDOOHGLQDQHWZRUN7KHIDFWWKDWWKHFXUUHQWVWRWKHLQGLYLGXDOUHFWLHUVDUHQRWDOOLQSKDVHPHDQVWKDWWKHUHVXOWLQJKDUPRQLFYROWDJHVDUHOHVVWKDQLQWKHDERYHFDVH

    ,I IRUH[DPSOHVHYHUDOUHFWLHUVZLWKDFRPELQHGSRZHURIVRPHRI WKHWUDQVIRUPHUQRPLQDOUDWLQJDUHLQVWDOOHGWKLVJLYHVULVHWRVRPH

    Q 1 1.5% of the 5th harmonic and Q 0.7 1% of the 7th harmonic.

    7KHVHDUHDSSUR[LPDWHYDOXHVWRKHOSLQWKHLQLWLDODVVHVVPHQWRIZKHWKHUDGHWXQHG3)&V\VWHPQHHGVWREHLQVWDOOHG

    E,QWKHPHGLXPYROWDJHVXSSO\V\VWHP1RZDGD\VPRVW RI WKHVH V\VWHPV DUH DIIHFWHG SUHGRPLQDQWO\ E\ WKH GHYLFHV LQ SULYDWHKRXVHKROGVPDLQO\WHOHYLVLRQVHWVWKDWSURGXFHKDUPRQLFV7KLVLVUHDGLO\DSSDUHQWZKHQWKHGDLO\FXUYHIRUWKHWKKDUPRQLFLVH[DPLQHG

    7KH OHYHO RI KDUPRQLFV LQ WKH PHGLXP YROWDJHV\VWHPRIDPXQLFLSDOSRZHUVXSSO\ZLWKLQGXVWULDOORDGVRQZHHNGD\V

    ,Q GHQVHO\ SRSXODWHG DUHDV LQ WKH HYHQLQJVIUHTXHQFLHV RI DERXW4% 250 Hz and up to 1.5% 350 Hz FDQ EH VXSHUSRVHG RQ WKHPHGLXP YROWDJH VXSSO\ V\VWHP 7KH KLJKHUKDUPRQLFVDUHXVXDOO\QHJOLJLEOH

    What effect does a PFC system have on a network with harmonics?$3)&V\VWHPZLWKQRGHWXQLQJIRUPVDQRVFLOODWRU\FLUFXLWZLWKUHDFWLYHOLQHLPSHGDQFHV7KHUHVRQDQWIUHTXHQF\LVJLYHQE\DVLPSOHUXOHRIWKXPE

    ZKHUH

    SN VKRUWFLUFXLWSRZHUDWWKHSRLQWZKHUHWKHFRUUHFWLRQV\VWHPLVFRQQHFWHG4F FRUUHFWLRQV\VWHPFDSDFLWRUSRZHUUDWLQJ

    Fig. 33 Average and maximum levels of the WKKDUPRQLFDV

    $YHUDJ

    HDQ

    GPD[LPXP

    OHYHOV

    RIWK

    HWKKD

    UPRQ

    LFDV

    7LPHRIGD\

    3)&system

    &DEOH 7UDQVIRUPHU 0HGLXPYROWDJH

    f Hz SQr

    k

    C== 50

  • 7KHVKRUWFLUFXLWSRZHU6NDWWKHSRLQWZKHUHWKH3)&V\VWHPLVFRQQHFWHGLV Q GHWHUPLQHGHVVHQWLDOO\E\WKHWUDQVIRUPHU6nXN Q UHGXFHGE\VRPHE\WKHLPSHGDQFHRIWKHPHGLXPYROWDJHV\VWHP Q SRVVLEO\ JUHDWO\ UHGXFHGE\ ORQJ OHQJWKVRI FDEOHEHWZHHQ WKH WUDQVIRUPHUDQG WKH3)&V\VWHP

    ([DPSOH Q 7UDQVIRUPHUN9$XN Q 6KRUWFLUFXLWSRZHURIWKHPHGLXPYROWDJHV\VWHP09$6N09$ Q 3)&V\VWHPNYDULQVWDJHVQRWGHWXQHG

    Capacitor power rating (QC)

    Resonant frequency (fr)

    NYDU +]NYDU +]NYDU +]

    :KHQWKHFDSDFLWRUVWDJHVRIWKHFRUUHFWLRQV\VWHPDUHVZLWFKHGLQWKHQHWZRUNUHVRQDQWIUHTXHQF\IrFKDQJHVFRQVLGHUDEO\DQGLVUHSHDWHGO\FORVHWRWKHIUHTXHQF\RIDQHWZRUNKDUPRQLF

    ,IWKHQDWXUDOUHVRQDQFHRIWKLVRVFLOODWRU\FLUFXLWLVQHDUWRDQHWZRUNKDUPRQLFWKDWLVSUHVHQWLWLVWREHH[SHFWHGWKDWUHVRQDQFHZLOOLQFUHDVHWKHKDUPRQLFYROWDJHV8QGHUFHUWDLQFRQGLWLRQVWKHVHPD\EHPXOWLSOLHGE\DQDPRXQWDSSURDFKLQJWKHQHWZRUN4IDFWRULQLQGXVWULDOV\VWHPVDERXW

    When can dangerous network resonances occur?

    )URP)LJLWFDQEHVHHQWKDWLWLVSRVVLEOHWRDVVHVVZKHWKHUUHVRQDQFHSUREOHPVFDQRFFXUZLWKKDUPRQLFV6LPSOHUXOHVVXIFHIRUWKLV

    ,IWKHUHVRQDQWIUHTXHQF\LV Q EHORZDERYHDQHWZRUNKDUPRQLFWKHODWWHUZLOOEHDPSOLHGLQDQHWZRUNZLWKDKLJK4IDFWRUHJLQWKHHYHQLQJVDQGDWQLJKWby a factor of up to 4

    Q DERYHDQHWZRUNKDUPRQLFWKHODWWHUZLOOEHDPSOLHGLQDQHWZRUNZLWKDKLJK4IDFWRUby up to 2.5

    Q DERYHDQHWZRUNKDUPRQLFWKHODWWHUZLOOEHDPSOLHGRQO\VOLJKWO\by a factor of up to about 1.7

    Fig. 34 $PSOLFDWLRQ IDFWRU IRUKDUPRQLFYRO-tages in PFC system without detu-ning in the low voltage network

    )5$.21HWZRUNDQDO\VLV

  • ,QDQHWZRUNZLWKQRKDUPRQLFJHQHUDWRURILWVRZQEXWZLWKSURQRXQFHGKDUPRQLFVSUHVHQWLQWKHPHGLXPYROWDJHV\VWHPWKHIROORZLQJFDQRFFXU

    Q DWDUHVRQDQWIUHTXHQF\EHORZ+]UHVRQDQFHSHDNVRIWKHWKKDUPRQLF Q at a resonant frequency below 300 Hz - dangerous resonance peaks of the 5th harmonic +].

    :KDWHIIHFWGRHVWKHQHWZRUNFRQJXUDWLRQKDYHRQWKHSUREOHPRIKDUPRQLFV"

    7KH QHWZRUN VKRUWFLUFXLW SRZHU GHWHUPLQHV WKH UHVRQDQW IUHTXHQF\ DQG ZKHUH KDUPRQLFJHQHUDWRUVDUHSUHVHQWLQWKDWQHWZRUNWKHDPSOLWXGHRIWKHKDUPRQLFVLQWKHQHWZRUNYROWDJH

    Q If the network short-circuit powerDWWKHSRLQWZKHUHWKH3)&V\VWHPLVFRQQHFWHGLVtoo lowWKLVFDXVHVSUREOHPV

    Q If the short-circuit power is changed radicallyGXH WRDOWHUHGVZLWFKLQJFRQGLWLRQV WKLVFDXVHVSUREOHPV

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

    Voltage and current loads on PFC systems without detuning

    :KHQUHVRQDQFHRFFXUVWKHQHWZRUNUPVYROWDJHRQO\LQFUHDVHVVOLJKWO\EXWWKHUPVYDOXHRIWKHFDSDFLWRUFXUUHQWLQFUHDVHVFRQVLGHUDEO\,QWKHFDVHRIUHVRQDQFHZLWKWKHIWKKDUPRQLFWKLVFDQUHDFKDOHYHORIVD\LQZKLFKFDVH

    Q 7KHQHWZRUNUPVYROWDJHLQFUHDVHVE\ Q 7KHFUHVWZRUNLQJOLQHYROWDJHLQFUHDVHVE\GHSHQGLQJRQSKDVHDQJOH Q The r.m.s. value of the capacitor current increases by 25%!

    ,QWKHFDVHRIUHVRQDQFHZLWKWKHWKKDUPRQLFWKLVFDQUHDFKDOHYHORIVD\LQZKLFKFDVH Q 7KHQHWZRUNUPVYROWDJHLQFUHDVHVE\ Q 7KHSHDNYDOXHRIWKHPDLQVYROWDJHLQFUHDVHVE\ Q The r.m.s. value of the capacitor current increases by 50%!

    For this reason a high current-carrying capacity is one of the most important quality characteristics for a capacitor!

    FRAKO capacitors can withstand an overcurrent up to 2.7 times the rated current as a continuous load!

  • Designing for networks with harmonicsWhat must be done if resonance is possible but rather unlikely?$FRQVLGHUDEOHSURSRUWLRQRILQVWDOODWLRQVEHLQJGHVLJQHGWRGD\IDOOLQWRWKLVFDWHJRU\HJ

    Q 1RLQWHUQDOKDUPRQLFJHQHUDWRUVLQVWDOOHGLQWKHQHWZRUNQRKDUPRQLFVLQWKHPHGLXPYROWDJHV\VWHPEXWDUHVRQDQWIUHTXHQF\EHORZ+]

    Q ,I FKDQJHVDUHPDGH LQ WKHQHWZRUN FRQJXUDWLRQ IRU H[DPSOH GXULQJPDLQWHQDQFHZRUNWKHUHVRQDQWIUHTXHQF\FDQIDOOEHORZ+]+DUPRQLFVDUHSUHVHQWLQWKHPHGLXPYROWDJHGLVWULEXWLRQV\VWHP

    Q ,WLVSODQQHGWREXLOGLQVWDOODWLRQVZLWKUHFWLHUVDWDODWHUGDWH

    7RSURWHFWDQLQVWDOODWLRQZLWKRXWGHWXQLQJIURPWKHRFFXUUHQFHRIUHVRQDQFHHYHQLIWKLVPD\RQO\KDSSHQRFFDVLRQDOO\LWLVKLJKO\DGYDQWDJHRXVWRXVHWKHEMA 1101 Mains Monitoring Instrument7KLVGHYLFHPRQLWRUVDOOWKUHHSKDVHVRIWKHSRZHUVXSSO\V\VWHPVKXWVWKHLQVWDOODWLRQGRZQ LI D GDQJHURXV OHYHO RI KDUPRQLFV LV H[FHHGHGDQG VZLWFKHV LW DXWRPDWLFDOO\ LQ DJDLQZKHQWKLVOHYHOIDOOVEHORZWKHFULWLFDOYDOXH7KHSHDNYDOXHVWKDWKDYHRFFXUUHGDUHVWRUHGKRZHYHUDQGFDQEHUHWULHYHGYLDWKH(0$EXVLQWHUIDFH

    )RUGLVWULEXWLRQV\VWHPVWKDWDUHV\PPHWULFDOO\ORDGHGWKHEMR 1100 Power Factor Control RelayFDQDOVREHLQVWDOOHG7KLVLQVWUXPHQWPRQLWRUVWKHV\VWHPWRGHWHFWDQ\UHVRQDQFHWKDWPD\RFFXU7KH(05SRZHUIDFWRUFRQWUROUHOD\GHWHUPLQHVWKHKDUPRQLFYROWDJHVLQWKHPHDVXUHGSKDVHDQGFDOFXODWHVWKHUPVFXUUHQWWRWKHFDSDFLWRUV,IDSURJUDPPHGPD[LPXPOLPLW LVH[FHHGHGWKH LQVWDOODWLRQ LVVKXWGRZQDQGVZLWFKHGLQZKHQWKH OHYHO IDOOVEHORZLWVFULWLFDOYDOXH

    ,QFDVHVRIWKLVGHVFULSWLRQ3)&V\VWHPVWKDWFDQEHUHWURWWHGZLWKGHWXQLQJDUHRIWHQinstalled.

    Planning for PFC systems in networks with harmonics7KHEHVWLQIRUPDWLRQRQWKHRSHUDWLRQDOFKDUDFWHULVWLFVRIDSODQQHG3)&V\VWHPLVREWDLQHGE\DFRPELQDWLRQRIWZRSODQQLQJDFWLYLWLHV

    Q 0HDVXULQJWKHKDUPRQLFYROWDJHVDQGFXUUHQWVRYHUVHYHUDOGD\VZLWKQR3)&V\VWHPLQVWDOOHG Q 7KHRUHWLFDOFDOFXODWLRQRIWKHQHWZRUNUHVRQDQFHFKDUDFWHULVWLFV

    ,QWKHPHDVXUHGQHWZRUNWKHIROORZLQJKDUPRQLFOHYHOVDUHWREHH[SHFWHGZLWK3)&

    Maximum value of measurement without power factor correction multiplied by the resonance factor from the network analysis.

  • ([DPSOH$Q DYHUDJHVL]H ORZ YROWDJH V\VWHP ZLWK D N9$ WUDQVIRUPHU 7KH LQVWDOODWLRQ FRPSOHWHZLWKWKH3)&V\VWHPLVFRQQHFWHGYLDWZRPORQJFDEOHV ODLG LQSDUDOOHOHTXLYDOHQW WRWKHLPSHGDQFHRIDPFDEOH2QO\SXUHO\RKPLF ORDGV PD\ EH WDNHQ LQWR DFFRXQW DVHTXLSPHQWVXFKDVLQGXFWLRQPRWRUVKDYHQRGDPSLQJHIIHFWRQKDUPRQLFV:LWKDNYDULQVWDOODWLRQDQGDOOFDSDFLWRUVHFWLRQVVZLWFKHGLQWKHWKKDUPRQLF+]LVDPSOLHGE\DIDFWRURIDERXW$WNYDUWKHWKKDUPRQLFLVDPSOLHGE\DIDFWRURIDERXW

    'XULQJWKHGD\ZLWKLQFUHDVHGQHWZRUNGDPSLQJWKHVHIDFWRUVDUHORZHUEXWLQWKHHYHQLQJVDQGDWZHHNHQGVWKHDPSOLFDWLRQIDFWRUIRUWKHWKFDQEHKLJKHU

    Measures to counteract expected resonances

    ,IKDUPRQLFVZLWKKLJKYROWDJHOHYHOVVXFKDV

    RIWKH UGKDUPRQLF +] RIWKH WKKDUPRQLF +] RIWKH WKKDUPRQLF +] RIWKH WKKDUPRQLF +] RIWKH WKKDUPRQLF +]

    GXHWRUHVRQDQFHLQGXFHGDPSOLFDWLRQDUHDQWLFLSDWHGZKHQSODQQLQJD3)&V\VWHPVHULRXVGLVUXSWLRQVFDQRFFXULQWKHORZYROWDJHGLVWULEXWLRQV\VWHP

    Q 3UREOHPVZLWK,7V\VWHPVDQG&1&PDFKLQHV Q 'DPDJHWRUHFWLHUVDQGRUFRQYHUWHUV Q 8QFRQWUROOHGWULSSLQJRIDYDULDEOHFDSDFLWRUEDQNDQGFLUFXLWEUHDNHUV Q 6KXWGRZQRI3)&V\VWHPVZLWKRXWGHWXQLQJ Q 9ROWDJHSHDNVLQWKHGLVWULEXWLRQV\VWHP Q ,QFUHDVHGHGG\FXUUHQWORVVHVLQWUDQVIRUPHUVDQGLQGXFWLRQPRWRUV

    ,IWKHOHYHORILQGLYLGXDOKDUPRQLFVZLWKQR3)&V\VWHPDPRXQWVWRPRUHWKDQWKDQGKLJKHUKDUPRQLFVRU WKKDUPRQLFDQG WKH UHVRQDQW IUHTXHQF\RI WKHQHWZRUNFDQEHFORVHWRWKHVHKDUPRQLFVWKHQLWPXVWEHDVVXPHGWKDWWKHVHSHUPLVVLEOHOLPLWVZLOOEHH[FHHGHGE\UHVRQDQFHLQGXFHGDPSOLFDWLRQ

    ,QVLWXDWLRQVRIWKLVW\SHRQO\GHWXQHG3)&V\VWHPVVKRXOGEHXVHGLQRUGHUQRWWRMHRSDUGL]HWKHUHOLDELOLW\RIWKHORZYROWDJHGLVWULEXWLRQV\VWHP

    )5$.21HWZRUNDQDO\VLV

    Fig. 35 $PSOLFDWLRQ RI KDUPRQLF YROWDJHVas a function of the capacitor stages switched in FRAKO - Mains Analysis

  •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

    7KHGHWXQHGFLUFXLWLVFKDUDFWHUL]HGHLWKHUE\WKHFDSDFLWRUFKRNHUHVRQDQWIUHTXHQF\IrRUE\WKHUHODWLYHYROWDJHGURSSDWWKHFKRNH7KHVHWZRSDUDPHWHUVDUHUHODWHGE\WKHIROORZLQJIRUPXOD

    ([DPSOHS fr +]

    )5$.21HWZRUNDQDO\VLV

    Fig. 36 Damping of harmonic voltages as a function of the detuned capacitor sections

    Detuning reduces the resonant frequency to a value below 250 Hz. All harmonics above the resonant frequency of the detuned system are attenuated.

    f Hzpr

    == 50 1

  • Maximum permissible harmonic levels$QXPEHURIVWDQGDUGVFDQEHFRQVXOWHGZKHQDVVHVVLQJSRZHULQVWDOODWLRQTXDOLW\WKHUHOHYDQWVWDQGDUGGHSHQGLQJRQWKHSDUWLFXODUDSSOLFDWLRQ)RUQRUPDOORZYROWDJHQHWZRUNVFRQQHFWHGWRSXEOLFGLVWULEXWLRQQHWZRUNVWZRVWDQGDUGVDUHJHQHUDOO\DSSOLFDEOH

    Q EN 50160 9ROWDJH FKDUDFWHULVWLFV RI HOHFWULFLW\ VXSSOLHG E\ SXEOLF GLVWULEXWLRQ QHWZRUNVFRYHUVKDUPRQLFYROWDJHVXSWRWKHWKRUGHU

    Q EN 61000-2-2&RPSDWLELOLW\OHYHOVIRUORZIUHTXHQF\FRQGXFWHGGLVWXUEDQFHVDQGVLJQDOOLQJLQSXEOLFORZYROWDJHSRZHUVXSSO\V\VWHPVFRYHUVKDUPRQLFYROWDJHVXSWRWKHWKRUGHU

    EN 50160 EN 61000-2-2 EN 50160 EN 61000-2-2(YHQKDUPRQLFV 2GGKDUPRQLFV

    2 +] PXOWLSOHVRI +] 3 +] +] +] +] +]

    +] +] +] +] +] 33 +] +] +] +] +] +] 2GGKDUPRQLFV22 +] QRWPXOWLSOHVRI

    +] +] +] +] +] +] +] +] 32 +] +] +] +] +] 23 +] +] +] +] +] +] +] +] +] +] +] +] +] +] +]

    7KHVDPHIRUERWKVWDQGDUGV7RWDOKDUPRQLFYROWDJHGLVWRUWLRQTHDvmax. 8%7RWDOKDUPRQLFFXUUHQWGLVWRUWLRQTHDimax. 20%

    +] +]

    Table 9 &RPSDULVRQRIPD[LPXPSHUPLVVLEOHKDUPRQLFOHYHOVDFFRUGLQJWR(1DQG(1

  • Designing for networks with audiofrequency remote control systems

    7KHLPSHGDQFHRIWKHGHWXQHGFDSDFLWRUDW+]LVVPDOOHUWKDQWKHLPSHGDQFHRIWKHFDSDFLWRUZLWKRXWGHWXQLQJE\DIDFWRU[

    7KHGHWXQHG3)&V\VWHPKDVWKHIROORZLQJFKDUDFWHULVWLFVIRUWKHWKKDUPRQLF Q $FFHSWRUFLUFXLWFKDUDFWHULVWLFVZKHQ[! Q 5HMHFWRUFLUFXLWFKDUDFWHULVWLFVZKHQ[

    :LWK VWURQJDFFHSWRU FLUFXLW FKDUDFWHULVWLFV VHULHV UHVRQDQW FLUFXLW WKHPD[LPXPDOORZDEOHOHYHORIWKH+]KDUPRQLFPXVWEHOLPLWHGVRDVQRWWRRYHUORDGWKHOWHUUHDFWRU

    S fr +] [ 9PD[ S fr +] [ 9PD[ S fr +] [ 9PD[ S fr +] [ 9PD[

    ([DPSOH,IRIWKHWKKDUPRQLFLVVXSHUSRVHGRQWKHQHWZRUNYROWDJHDGHWXQHG3)&V\VWHPDWWHQXDWHVWKHWKKDUPRQLFDVIROORZV

    DW GHWXQLQJ E\ [ +]+] [ 0.27 x In DW GHWXQLQJ E\ [ +]+] [ 0.48 x In DW GHWXQLQJ E\ [ +]+] [ 0.08 x In

    ,n V\VWHPUDWHGFXUUHQWDW+]

    :KHQ GHVLJQLQJ D GHWXQHG 3)& V\VWHP WKH IROORZLQJ IDFWRUV PXVW DOZD\V EH WDNHQ LQWRDFFRXQW

    Q &DSDFLWRUVZLWKDQGZLWKRXWGHWXQLQJPXVWQHYHUEHRSHUDWHGLQSDUDOOHORQWKHVDPHORZYROWDJHV\VWHP

    Q 3DUDOOHORSHUDWLRQRIOWHUFLUFXLWV\VWHPVZLWKGLIIHUHQWGHWXQLQJIDFWRUVSLVSRVVLEOHEXWWKHORDGLQJRIWKHOWHUFLUFXLWVLVGLIIHUHQWDQGVKRXOGEHDFFXUDWHO\DQDO\VHGDWKLJKOHYHOVRIKDUPRQLFV

    Q ,IWKHORZYROWDJHV\VWHPVDUHHOHFWULFDOO\LVRODWHGWUDQVIRUPHUVQRWFDSDEOHRIEHLQJFRXSOHGDWWKHORZYROWDJHVLGHWKHQLIUHTXLUHGRQHQHWZRUNFDQEHGHWXQHGZKLOHWKHRWKHUV\VWHPKDVSRZHUIDFWRUFRUUHFWLRQZLWKRXWGHWXQLQJ

    Q 7KHW\SHRILQVWDOODWLRQVHOHFWHGPXVWFRPSO\ZLWKWKHUHTXLUHPHQWVRIWKHXWLOLW\FRPSDQ\FRQFHUQHG

    Power factor correction in networks with audiofrequency remote control systems$XGLRIUHTXHQF\$)UHPRWHFRQWUROV\VWHPVDUHLQVWDOOHGLQXWLOLW\FRPSDQ\VXSSO\QHWZRUNVLQRUGHUWRSHUIRUPVZLWFKLQJIXQFWLRQVVXFKDVWDULIIFKDQJHRYHUE\PHDQVRIVSHFLDOUHFHLYHUVLQWKHFRQVXPHUVFLUFXLW7RGRWKLVFRQWUROYROWDJHVDWDKLJKIUHTXHQF\$)SXOVHVDUHVXSHUSRVHGRQWKHSRZHUGLVWULEXWLRQV\VWHP7KHVHIUHTXHQFLHVDUHXVXDOO\ LQ WKHUDQJHRIWR+]

  • ,QRUGHUQRWWRLQWHUIHUHZLWKWKHIXQFWLRQLQJRIWKHVHUHPRWHFRQWUROV\VWHPVWKHFRQWUROYROWDJHOHYHOPXVWQRWEHXQGXO\GLVUXSWHGE\WKHFXVWRPHUVLQVWDOODWLRQ7RHQVXUHWKLVPHPEHUVRIWKH*HUPDQ$VVRFLDWLRQRI(QHUJ\DQG:DWHU,QGXVWULHV%'(:2HVWHUUHLFKV(QHUJLHDQLQGHSHQGHQWDGYRFDF\JURXSIRUWKH$XVWULDQHOHFWULFLW\LQGXVWU\DQGWKH$VVRFLDWLRQRI6ZLVV(OHFWULFLW\&RPSDQLHV96(SURGXFHGMRLQWUHFRPPHQGDWLRQVIRUSUHYHQWLQJLPSHUPLVVLEOHGLVWXUEDQFHVLQ$)UHPRWHFRQWUROV\VWHPV

    $Q LPSHGDQFH IDFWRU D LV XVHG IRU WKHDVVHVVPHQW RI QHWZRUNV ZLWK 3)& V\VWHPVLQVWDOOHG

    At an impedance factor D* QRLQWHUIHUHQFHis to be expected with remote control systems.

    Effect of PFC systems without detuning

    $3)&V\VWHPZLWKRXWGHWXQLQJWRJHWKHUZLWKWKHUHDFWLYHQHWZRUNLPSHGDQFHVFRQVWLWXWHVDQRVFLOODWRU\ FLUFXLWZKRVH UHVRQDQW IUHTXHQF\ Ir GHFUHDVHVZLWK LQFUHDVLQJ3)&SRZHU UDWLQJ'XHWRWKHUHVRQDQWIUHTXHQF\WKHLPSHGDQFHRIWKHRVFLOODWRU\FLUFXLW LVDWDYHU\ORZYDOXHDQGFDQFRQVLGHUDEO\DWWHQXDWHWKHYROWDJHOHYHORIWKH$)FRQWUROV\VWHP

    :KHQ WKH SRZHU FRUUHFWLRQ V\VWHP LV IXOO\VZLWFKHGLQDQLPSHGDQFHIDFWRUZLOORQO\VXIFHIRUDUHPRWHFRQWUROIUHTXHQF\RI+]

    ,IWKHLPSHGDQFHIDFWRUFDQQRWEHPDLQWDLQHGDQ$)UHMHFWRUFLUFXLWPXVWEHLQVWDOOHGLQVHULHVZLWKWKH3)&V\VWHP$Q$)UHMHFWRUFLUFXLWLVDQDQWLUHVRQDQWFLUFXLWFRQVLVWLQJRIDEORFNLQJFKRNHDQGDUHVRQDQFHFDSDFLWRU,WLVGHVLJQHGIRUWKHQRPLQDOUDWLQJRIWKH3)&V\VWHPDQGLWV UDWHGYROWDJH$Q$) UHMHFWRU FLUFXLW LQFUHDVHV WKH LPSHGDQFHRI WKH3)&V\VWHPDW WKDWIUHTXHQF\WRDQLPSHGDQFHIDFWRU

    :LWK WKH 3)& V\VWHP VZLWFKHG LQ DQ LPSHGDQFH IDFWRU RI LV DFKLHYHG ZLWKFHUWDLQW\ IRU D UHPRWH FRQWURO IUHTXHQF\ RI+]

    The impedance factor D* is the ratio of the impedance of the transformer plus PFC system to the transformer's rated impe-dance.

    )5$.21HWZRUNDQDO\VLV

    Fig. 37 ,PSHGDQFHIDFWRUDVDIXQFWLRQRIthe switched-in capacitor stages

    )5$.21HWZRUNDQDO\VLV

    Fig. 38 ,PSHGDQFH IDFWRU DV D IXQF-tion of the switched-in capacitors when in series with an AF rejector circuit for +]

  • Critical remote control frequencies in the range 270 to 425 Hz3ODFLQJDQ$)UHMHFWRUFLUFXLWLQVHULHVZLWKWKH3)&V\VWHPFKDQJHVLWVUHVRQDQWIUHTXHQFLHV,QSDUWLFXODUD3)&V\VWHPZLWKQRGHWXQLQJKDVDVHFRQGVHULHVUHVRQDQWIUHTXHQF\EHORZWKHEORFNHGUHPRWHFRQWUROIUHTXHQF\,QWKH$)UDQJHWR+]GDQJHURXVUHVRQDQFHLQGXFHGDFFHQWXDWLRQRIKDUPRQLFVFDQRFFXU

    7KHIROORZLQJUXOHVWKHUHIRUHDSSO\LQWKHVHFDVHV,I $) UHMHFWRU FLUFXLWV LQ WKH UDQJH +] WR+] DUH DUUDQJHG LQ VHULHVZLWK 3)& V\VWHPV ZLWKRXW GHWXQLQJ WKHUH LV DQ LQFUHDVHGOLNHOLKRRG RI UHVRQDQFH LPPHGLDWHO\ QHDU WRWKHWKDQGWKKDUPRQLFV,QRUGHUWRSUHYHQWERWKWKH$)UHMHFWRUFLUFXLWDQGWKH3)&V\VWHPEHLQJRYHUORDGHGWKHOHYHORIWKHWKKDUPRQLF+]DQG WKHWKKDUPRQLF +]PXVWQRWH[FHHGHDFKRIWKHUDWHGVXSSO\YROWDJH,IKLJKHUOHYHOVGRRFFXUGHWXQHG3)&V\VWHPVPXVWEHLQVWDOOHG

    Effect of detuned PFC systems

    &KRNLQJ3)&V\VWHPVUHGXFHVWKHUHVRQDQWIUHTXHQF\DVDOUHDG\GHVFULEHGHDUOLHULQGHWDLOWRDYDOXHEHORZ+]$OOKDUPRQLFVDERYHWKHUHVRQDQWIUHTXHQF\RIWKHGHWXQHGFLUFXLWDUHQRORQJHUDPSOLHGEXWDWWHQXDWHG7KLVJLYHVDGHTXDWHLPSHGDQFHIDFWRUVIRUUHPRWHFRQWUROIUHTXHQFLHVVXIFLHQWO\IDUDZD\IURPWKHUHVRQDQWIUHTXHQF\RIWKHGHWXQHGFLUFXLW

    'HSHQGLQJRQWKHH[DFWGHVLJQRIWKHFLUFXLWUHPRWHFRQWUROIUHTXHQFLHVFDQEHUHOLDEO\EORFNHGZKHQXVLQJGHWXQHG3)&V\VWHPVHYHQZLWKRXW KDYLQJDQ$) UHMHFWRU FLUFXLW ,Q YLHZRIWKHPD[LPXPUHOLDELOLW\UHTXLUHGRI3)&V\VWHPVDQGWKHLQWHUIHUHQFHIUHHWUDQVPLVVLRQRIUHPRWHFRQWUROVLJQDOVFDOOHGIRUE\XWLOLW\FRPSDQLHVZHUHFRPPHQGWKHIROORZLQJIRUDFRUUHFWLRQIDFWRUUDWLRVRIWUDQVIRUPHUSRZHUWR3)&FDSDFLWRUSRZHUUDWLQJRIXSWR

    Utility company remote control frequency[Hz]

    Rejector circuit SHUFHQWDJHGHWXQLQJ

    WR S Ir +] ZLWK$)UHMHFWRUFLUFXLW WR S Ir +] ZLWK$)UHMHFWRUFLUFXLWMost cost-effective circuits S Ir +] ZLWKRXW$)UHMHFWRUFLUFXLW S Ir +] ZLWKRXW$)UHMHFWRUFLUFXLW S Ir +] ZLWKRXW$)UHMHFWRUFLUFXLW

    )5$.21HWZRUNDQDO\VLV

    Fig. 39 $PSOLFDWLRQ RI WKH KDUPRQLFVZKHQusing a PFC system without detu-ning with an AF rejector circuit for +]

  • )RU IUHTXHQFLHV +] DQ LPSHGDQFHIDFWRUD LV DFKLHYHG ZLWK FHUWDLQW\ LQWKLVFDVHHYHQZLWKRXWDQ$)UHMHFWRUFLUFXLW

    7KHLPSHGDQFHIDFWRUDLVUHDFKHGZLWKFHUWDLQW\LQDOOVWDJHV

    ,Q WKLV FDVH DV ZHOO WKH LPSHGDQFH IDFWRU DLVUHDFKHGZLWKFHUWDLQW\LQDOOVWDJHV

    )RUDOOIUHTXHQFLHV+]LHDOOFRPPRQO\XVHG UHPRWH FRQWURO IUHTXHQFLHV WKH LPSHGDQFHIDFWRUDLVUHDFKHGZLWKFHUWDLQW\LQDOOVWDJHV

    7KHVHUHFRPPHQGDWLRQVZHUHLVVXHGLQDQGDUHEDVHGRQ\HDUVRISUDFWLFDOH[SHULHQFHE\WKHPHPEHUVRI%'(:2HVWHUUHLFKV(QHUJLHDQG96(

    )5$.21HWZRUNDQDO\VLV

    Fig. 40 Example 1 Impedance factor D* as a function of number of switched-in FDSDFLWRUVZLWKGHWXQLQJ

    Fig. 41 ([DPSOH ,PSHGDQFH IDFWRU D* as a function of number of switched-in FDSDFLWRUVZLWKGHWXQLQJSOXV$)UHMHFWRUFLUFXLWIRU+]

    )5$.21HWZRUNDQDO\VLV

    )5$.21HWZRUNDQDO\VLV

    Fig. 42 Example 3 Impedance factor D* as a function of number of switched-in FDSDFLWRUVZLWKGHWXQLQJSOXV$)UHMHFWRUFLUFXLWIRU+]

    )5$.21HWZRUNDQDO\VLV

    Fig. 43 ([DPSOH ,PSHGDQFH IDFWRU D* as a function of number of switched-in FDSDFLWRUVZLWKGHWXQLQJ

  • Versions of detuned PFC systems

    1.) DQGGHWXQLQJ3)&V\VWHPVZLWKGHWXQLQJKDYHDSURYHQWUDFNUHFRUGIRUPRVWLQGXVWULDODSSOLFDWLRQV7KHUHVRQDQWIUHTXHQF\LVDWDQRSWLPXPOHYHOWRVXSSUHVVWKHKDUPRQLFVPDLQO\WKHWKDQGWKHQFRXQWHUHGLQGXVWU\ZKLOHDWWKHVDPHWLPHRIIHULQJHQRXJKPDUJLQVRDVWRQRWEHFRPHRYHUORDGHG)RULQGXVWULDOQHWZRUNVWKDWDUHPRUHRUOHVVV\PPHWULFDOO\ORDGHGZLWKQRUPDO OHYHOVRIKDUPRQLFVDQG UHPRWHFRQWURO IUHTXHQF\DERYH+] WKLV LV WKH LGHDOVROXWLRQ

    9HUVLRQVZLWKGHWXQLQJDUHIRUQHWZRUNVXVLQJDUHPRWHFRQWUROIUHTXHQF\RI+]

    2.) WRGHWXQLQJ$YHUVLRQZLWKWRGHWXQLQJLVDQLQH[SHQVLYHYDULDQWZLWKQR$)UHMHFWRUFLUFXLWIRU GLVWULEXWLRQ V\VWHPVZLWK UHPRWH FRQWURO IUHTXHQFLHVRI WR +]7KHHVVHQWLDOGLVDGYDQWDJHRIWKLVYHUVLRQLVLQLWVORZDEVRUSWLRQFDSDELOLW\IRUKDUPRQLFV,QORZYROWDJHQHWZRUNVZLWKKLJKOHYHOVRIWKHWKKDUPRQLFWKHXVHRIWKHVHYHUVLRQVVKRXOGQRWEHFRQVLGHUHGHVSHFLDOO\IRUV\VWHPV!NYDU,QVWHDGDYHUVLRQZLWKS RUDQGDQ$)UHMHFWRUFLUFXLWVKRXOGEHVHOHFWHG

    /RZYROWDJHQHWZRUNVZLWKH[WUHPHO\KLJKOHYHOVRIWKHUGKDUPRQLF+]DUHKRZHYHUDQH[FHSWLRQ7KHUGKDUPRQLFLVSURGXFHGDVDUXOHE\DKLJKO\DV\PPHWULFDOO\ORDGHGORZYROWDJHQHWZRUNHJRSHUDWLRQRIVLQJOHSKDVHHTXLSPHQWVXFKDVZHOGLQJVHWV836V\VWHPVODUJHQXPEHUVRIODPSVZLWKHOHFWURQLFEDOODVWVRUFRPSXWHUVDQGRWKHURIFHHTXLSPHQWZLWK$&DGDSWHUV

    +LJKOHYHOVRIWKHUGKDUPRQLFDUHWKHUHIRUHRIWHQIRXQGLQRIFHFRPSOH[HVEDQNVKRVSLWDOVGHSDUWPHQWVWRUHVHWF7RSUHYHQWUHVRQDQFHRFFXUULQJDWWKLVIUHTXHQF\GHWXQLQJDWDUHVRQDQWIUHTXHQF\EHORZ+]PXVWEHXVHGLQVXFKFDVHV7KHYHUVLRQZLWKGHWXQLQJLVWKHPRVWVXLWDEOHIRUWKLVYHUVLRQVZLWKRUGHWXQLQJPXVWnotEHXVHGLQWKHVHQHWZRUNV

    3.) WRGHWXQLQJ$VDUXOHWKLVYHUVLRQLVXVHGEHFDXVHRILWVLQFUHDVHGDEVRUSWLRQRIKDUPRQLFV,IKRZHYHUDKLJKOHYHORIKDUPRQLFVIURPWKHPHGLXPYROWDJHGLVWULEXWLRQV\VWHPLVIHGWRWKHQHWZRUNWKHXVHRIWKHWRGHWXQHGYHUVLRQVKRXOGQRWEHFRQVLGHUHGLQRUGHUWRSUHYHQWRYHUORDG FRQGLWLRQV DQG LQVWHDG D YHUVLRQZLWK S VKRXOG EH VHOHFWHG$W H[WUHPHOHYHOVRIKDUPRQLFVVSHFLDOO\FXVWRPL]HGOWHUFLUFXLWVFDQDOVREHGHVLJQHG

    4.) &RPELQHGGHWXQLQJ7KLV3)&V\VWHPYDULDQW LV FRQVWUXFWHGZLWK OWHU FLUFXLW VWDJHVRIGLIIHUHQW UHVRQDQW IUHTXHQFLHVDVDUXOHDQG7KHQXPEHUDQGUDWLQJVRIWKHOWHUFLUFXLWVWDJHVDUHVHOHFWHGVRWKDWWKHSRZHUUDWLRDSSURDFKHV&RPELQHGGHWXQHGFLUFXLWVFDQEHXVHG LQQHWZRUNVZLWKXWLOLW\FRPSDQ\ UHPRWHFRQWURO IUHTXHQFLHV LQ WKH UDQJH WR+]DVDVLPSOHUYDULDQWLQVWHDGRIXVLQJGHWXQHGV\VWHPVZLWK$)UHMHFWRUFLUFXLWV

  • Three important disadvantages of combined detuning must, however, be taken into DFFRXQW

    Q ,QRUGHUWRPDLQWDLQWKHEORFNLQJIDFWRUZLWKFHUWDLQW\WKHSULQFLSOHRIXQLIRUPXVHIRUPLQLPXPZHDU DQG WHDU F\FOLF VZLWFKLQJ RI DOO XQLWVPXVW EH VXSSUHVVHGZLWK YDULDEOHEDQNVRIFDSDFLWRUV

    Q 7KHDEVRUSWLRQHIIHFWRQKDUPRQLFVLVORZHUWKDQZLWKGHWXQHGV\VWHPVZLWK$)UHMHFWRUFLUFXLWV

    Q 2QHKDOIRIWKHV\VWHPKDVDORZDEVRUSWLRQHIIHFWZKLOHWKHRWKHUKDOIDFWVDVDOWHUFLUFXLWIRU+]OLNHDQDFFHSWRUFLUFXLW:LWKDKLJKSURSRUWLRQRIKDUPRQLFVLQWKHPHGLXPYROWDJHGLVWULEXWLRQV\VWHPRU LQ WKH IDFLOLW\VRZQQHWZRUNRQHKDOI RIWKHOWHUFLUFXLWVHFWLRQVLVDOZD\VXQGHUIXOOWKHUPDOORDGZKLOHWKHRWKHUKDOILVQRW7KHVHORDGLQJFRQGLWLRQVLQHYLWDEO\UHVXOWLQGLIIHUHQWOLIHH[SHFWDQFLHV)RUWKLVUHDVRQDFRPELQHGFKRNLQJFLUFXLW LVRQO\DGYLVDEOHZKHQLW LVQHFHVVDU\WRXVHFKRNLQJWRSUHYHQWUHVRQDQFHRFFXUULQJ$Q$)EHWZHHQDQG+] LVSUHVHQWEXWRQO\DORZSURSRUWLRQRIKDUPRQLFYROWDJHPD[LVDQWLFLSDWHG

    7KH WHFKQLFDOO\ PRUH VRSKLVWLFDWHG VROXWLRQ LV WR XVH D XQLIRUPO\ GHWXQHG YHUVLRQ ZLWKS :LWK WKLV V\VWHP WKHKDUPRQLFVDUH VXSSUHVVHGXQLIRUPO\RYHUDOO WKH FDSDFLWRUVWDJHVDQGDOOWKHDGYDQWDJHVRIPRGHUQFRQWUROWHFKQRORJ\DSSOLHGWRUHDFWLYHSRZHUFRQWUROUHOD\VFDQEHIXOO\H[SORLWHG

    Monitoring PFC systems in operation

    7KHPDLQWHQDQFHRI3)&V\VWHPVDIWHUWKHLULQVWDOODWLRQLVMXVWDVLPSRUWDQWDVWKHSODQQLQJDQGGHVLJQZRUNEHIRUHKDQG2QFHD3)&V\VWHPKDVEHHQFRPPLVVLRQHGLWLVIUHTXHQWO\IRUJRWWHQDERXW7KHXVHULVXVXDOO\QRWUHPLQGHGRIWKHIDFWWKDWWKHFDSDFLWRUFRQWDFWRUVDUHFRPSRQHQWVVXEMHFWWRZHDUXQWLOWKHXQSOHDVDQWHIIHFWVRIFRQWDFWRUIDLOXUHKDYHEHHQH[SHULHQFHG

    Contactors are subject to high stress levels when switching capacitive loads. &KDWWHULQJVZLWFKLQJFRQWDFWVUHVXOWLQKLJKFKDUJLQJDQGGLVFKDUJHFXUUHQWVLQWKHFDSDFLWRUVDQGKHDY\ZHDUDQGWHDURIWKHVZLWFKLQJFRQWDFWVWKHPVHOYHV5HSODFLQJWKHFRQWDFWRUVLQJRRGWLPHFRQVLGHUDEO\SURORQJVWKHVHUYLFHOLIHRIWKH3)&V\VWHPSwitching cycle countersKDYHEHHQLQWHJUDWHGLQWRVWDWHRIWKHDUWUHDFWLYHSRZHUFRQWUROUHOD\VVXFKDVWKH50(056DQG(05LQRUGHUWRJLYHearlyLQIRUPDWLRQRQWKHZHDURIWKHFRQWDFWRUV7KHUHDFWLYHSRZHUFRQWUROUHOD\LQGLFDWHVWKHRSWLPXPSRLQWLQWLPHZKHQWKHFRQWDFWRUVVKRXOGEHUHSODFHGDQGWKXVKHOSVWRFXWFRVWV)RUSUHYHQWLYHPDLQWHQDQFHSXUSRVHVWKHXVHUFDQGLVSOD\WKHFXPXODWLYHWRWDORIVZLWFKLQJF\FOHVIRUHDFKLQGLYLGXDOVWDJH

    &KDQJHGFRQGLWLRQVLQWKHQHWZRUNFDQDOVRUHVXOWLQGLVWXUEDQFHVLQWKHHQWLUHORZYROWDJHSRZHUV\VWHP7KHSXUSRVHRIQHWZRUNPRQLWRULQJLVWRLGHQWLI\WKHVHGLVWXUEDQFHVDWDQHDUO\VWDJHPower quality monitoring instruments of the EM-PQ series RIIHU \RX WKH RSWLRQ RI HDUO\DODUPVEHIRUHWKHV\VWHPRUV\VWHPFRPSRQHQWVIDLO$OOSDUDPHWHUVUHOHYDQWWRVDIHW\DQGUHOLDELOLW\LQPHGLXPDQGORZYROWDJHV\VWHPVWKHWHPSHUDWXUHVRIVHQVLWLYHV\VWHPFRPSRQHQWVDQGWKHFRQVXPSWLRQRIDFWLYHDQGUHDFWLYHHQHUJ\DUHUHJLVWHUHGDQDO\VHGDQGPRQLWRUHG

  • $FWLYHKDUPRQLFOWHUVWhat must be done if the harmonic factor is high, but the reactive power demand is small?%DVLFDOO\WKHUHDUHVHYHUDOVROXWLRQVWROLPLWKDUPRQLFFXUUHQWVFDXVHGE\WKHRSHUDWLRQRIORDGVWKDWJHQHUDWHWKHP

    7KHPRVWZHOONQRZQPHDVXUHVWRVROYHWKLVSUREOHPE\PHDQVRI Q VHYHUDOSDVVLYHOWHUVWXQHGWRZRUNWRJHWKHUWXQHGDFFHSWRUFLUFXLWVRU Q WKHDVVHPEO\RIKLJKO\QRQOLQHDUORDGVDQGVHQVLWLYHFRQVXPHUVLQWRVHSDUDWHJURXSVIHHGLQJHDFKJURXSWKURXJKDVHSDUDWHWUDQVIRUPHU

    +RZHYHUWKHVHVROXWLRQVLQYROYHWZRPDLQGLVDGYDQWDJHV Q ,PSURYHPHQWRIWKHV\VWHPGLVWXUEDQFHFKDUDFWHULVWLFVDSSOLHVRQO\WRWKHSDUWLFXODULQVWDOODWLRQLQYROYHG(DFKVXEVHTXHQWH[WHQVLRQFDQPHDQWKDWWKHLQLWLDOLQYHVWPHQWEHFRPHVZRUWKOHVV

    Q ,WLVRIWHQYHU\GLIFXOWWRLPSOHPHQWWKHVHVROXWLRQVLQSUDFWLFHIRUDQH[LVWLQJLQVWDOODWLRQ

    ([FHVVLYHO\KLJKKDUPRQLFVOHYHOVRIWHQRFFXUGXHWRWKHXVHRIFDSDFLWRUVZLWKQRGHWXQLQJLQQHWZRUNVWKDWDUHGLVWRUWHGE\KDUPRQLFV

    7RGD\WKHPRVWFRVWHIIHFWLYHVROXWLRQIRUWKHVHSUREOHPVLVVWLOOWKHXVHRIKHDY\GXW\FRAKO OWHUFLUFXLWV\VWHPV

    )RUSUREOHPVZLWK Q H[FHVVLYHO\KLJKOHYHOVRIWKHUGWKDQGWKKDUPRQLFVDQGWKHKLJKQHXWUDOFRQGXFWRUFXUUHQWWKH\JLYHULVHWRRU

    Q WKH GHPDQG IRU WXQHG DFFHSWRU FLUFXLWV WRPDLQWDLQ WKH KDUPRQLF FXUUHQW UHWXUQHG WR WKHPHGLXPYROWDJHV\VWHPXQGHUDVSHFLHGOLPLWRU

    Q ORZGHPDQGIRUUHDFWLYHSRZHUEXWKLJKKDUPRQLFFXUUHQWVIRUH[DPSOHGXHWRDODUJHSURSRUWLRQRIFRQYHUWHUFRQWUROOHGLQGXFWLRQPRWRUVWKH26)0DFWLYHOWHURUDFRPELQDWLRQRIDFRAKOOWHUFLUFXLWV\VWHPZLWKDQDFWLYHOWHULVWKHRSWLPXPVROXWLRQ

    7KHGHFLVLYHDGYDQWDJHRIDQDFWLYHKDUPRQLFOWHUOLHVLQWKHIDFWWKDWWKHFRUUHFWLRQRIQHWZRUNGLVWXUEDQFHVVWLOOUHPDLQVHIIHFWLYHLIVXEVHTXHQWH[WHQVLRQVDUHPDGHWRWKHLQVWDOODWLRQ7KHH[LELOLW\RIWKHFRAKODFWLYHOWHUPHDQVWKDWWKHUHTXLUHGQRPLQDOVL]HFDQEHVHOHFWHGTXLWHVLPSO\IURPWKHFXUUHQWGHPDQG$Q\DGGLWLRQDOGHPDQGGXHWRH[WHQVLRQVRIWKHLQVWDOODWLRQFDQEHPHWDWDQ\WLPHE\DGGLQJIXUWKHUFRPSRQHQWV

    2SHUDWLQJSULQFLSOHRIWKHDFWLYHKDUPRQLFOWHU

    7KHDFWLYHOWHULVLQVWDOOHGLQSDUDOOHOWRWKHKDUPRQLFJHQHUDWRUV,WDQDO\VHVWKHKDUPRQLFFXUUHQWSURGXFHGE\WKHQRQOLQHDUORDGVDQGVXSSOLHVDRXWRISKDVHFRPSHQVDWLQJFXUUHQWHLWKHURYHUWKHHQWLUHVSHFWUXPIURPWKHQGWRWKHWKKDUPRQLFRUIRUDVSHFLDOO\VHOHFWHGKDUPRQLF7KLVDFWLRQQHXWUDOL]HVWKHFRUUHVSRQGLQJKDUPRQLFFXUUHQWVFRPSOHWHO\DWWKHSRLQWRIFRQQHFWLRQSURYLGHGWKDWWKHV\VWHPKDVEHHQDSSURSULDWHO\GLPHQVLRQHG

  • 7KHFRPELQDWLRQRIKDUPRQLFOWHUDQGKDUPRQLF ORDGDSSHDUV WR WKHQHWZRUNDVDQRYHUDOOOLQHDUORDGGUDZLQJDVLQXVRLGDOFXUUHQW,QVWDOODWLRQLVTXLWHVLPSOH$WKUHHSKDVHIHHGHUZLWKRUZLWKRXWDQHXWUDOFRQGXFWRUQHHGVWREHDYDLODEOH7KHFXUUHQWWUDQVIRUPHULVWKHQLQVWDOOHGLQWKHOLQHWRWKHQRQOLQHDUORDG

    Applications

    7\SLFDODSSOLFDWLRQVDUHLQ Q /RZYROWDJHV\VWHPVZLWKPDQ\FRQYHUWHUVWKDWDUHXQGHUDQREOLJDWLRQWRUHWXUQRQO\OLPLWHGKDUPRQLFFXUUHQWVWR WKHSUHFHGLQJQHWZRUNZKHUH IRUH[DPSOH ORQJVSXU OLQHVWRUHPRWHLQVWDOODWLRQVDUHLQYROYHG

    Q 0RGHUQFRQYHUWHUGULYHVWKDWUHWXUQKLJKOHYHOVRIKDUPRQLFVWRWKHGLVWULEXWLRQV\VWHPEXWZLWKRQO\DORZGHPDQGIRUUHDFWLYHSRZHU,QDORZYROWDJHQHWZRUNZLWKDN9$WUDQVIRUPHUDQGPDQ\VPDOOLQGXFWLRQPRWRUVLQXVHLWLVTXLWHSRVVLEOHWKDWD3)&V\VWHPUDWHGDWNYDULVQHFHVVDU\:KHQPRGHUQFRQYHUWHUVDUHXVHGWKHGHPDQGVWLOODPRXQWVWRVRPHNYDU

    Q /RZYROWDJHV\VWHPVZLWKD ODUJHSURSRUWLRQRI WKHUGKDUPRQLFGXH WR WKHXVHRIVLQJOHSKDVHORDGV7KHVHORZYROWDJHQHWZRUNVGLVSOD\DQH[WUDRUGLQDULO\KLJKFXUUHQWLQWKHQHXWUDOFRQGXFWRUZKLFKVKRXOGEHDSSUR[LPDWHO\$ZKHQWKHORDGLVGLVWULEXWHGQHDUO\V\PPHWULFDOO\%HFDXVHRIWKHHOHFWURQLFORDGVKRZHYHUWKHKDUPRQLFFXUUHQWVLQWKHWKUHHSKDVHVDUHDGGHGWRJHWKHULQWKHQHXWUDOFRQGXFWRULQDGGLWLRQWRDQ\LPEDODQFHLQWKHRKPLFORDGV7KLVLVEHFDXVHWKHUGWKDQGWKK