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ȥ

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  • Ŵ or ե饤ȤǤǤȸƤФΤ򴬤դΡ
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  • ȥ󥹤ˤѰ2ĤꡢӤۤʤΤʤζʽǤ϶̤Ƥ뤬ȤߤϤޤäƱʤΤǡȤǤϤɤȥ󥹤ȤƲ᤹롣
  • ȥ󥹤ȤϡήȯѤȡήȯѡżͶƳˤȤȤ߹碌ȤߤŻʤǤ롣ե󥹤Υ顼ȥꥹΥץ2ͤǡ1882ǯȯ줿
    • 㤨СŰ6Vŵ100VФľ񹳴Ҥŵ˲äŰ6Vˤʤ褦ˤȤؤ̵椬¿ʤȤȥ󥹤Ȥ̵̤ۤȤɤʤŵή0.5AȤСԤξ100VŰ0.5AήʤФʤʤȥ󥹤Ȥ100V¦ήϤ鷺0.03AǺѤࡣ
  • ȾƳʤܳФ⤷ƤΤФơŸȥ󥹤ˤ礭Ѳʤ
  • Żʤǡޤ˷ߤǤͳϡѰ郎Ʊ˼¸Ǥ뤳Ȥˤʤ롣
  • ˥եȥץ餬¿Ȥ롣ϤޤŰã˻ȤǻҤǡϤãǤʤ

ȥ󥹤ư

[ˡ§]
1ŰV11ήI1N12ŰV22ήI2N2ȤȡΩġ
V_1~:~V_~2~=~N_1~:~N_2~=~I_2~:~I_1

[]

1켡˸ήŰ뤳Ȥˤäơ켡¦ήi1ή졢«դ롣

ήi1ϻѲΤǡ켡¦ˤϼͶƳe1

e1礭ϡήŰ礭ȤۤƱˤʤ롣

2«դˤäơ󼡥¦ˤͶƳe2

ΤȤ켡δN1󼡥δN2ȤȡμʼͶƳϤμ򴬤ܤ̡ˡ

  • e_1~=~-~N_1~\frac{d~\phi}{dt}
  • e_2~=~-~N_2~\frac{d~\phi}{dt}

2Ĥμ顢롣

\frac{e_1}{e_2}~=~\frac{-~N_1~\frac{d~\phi}{dt}}{-~N_2~\frac{d~\phi}{dt}}
\frac{e_1}{e_2}~=~\frac{N_1}{N_2}

[̾]ͶƳϤμϼ̤Ǥ롣

E=4.44~Nf~\phi_m

Ȥäơ1ȥ2Τ줾ͶƳ뵯ϤͤȡΤ褦ˤʤ롣

  • e_1=4.44~N_1~f~\phi_m
  • e_2=4.44~N_2~f~\phi_m

ǡfϥ1˷ҤäƤŸμȿmŴ̤뼧«κͤǤ롣ϤɤΥǤⶦ̤롣

äơϤϼΤ褦˷׻Ǥ롣

\frac{e_1}{e_2}~=~\frac{4.44~N_1~f~\phi_m}{4.44~N_2~f~\phi_m}~=~\frac{N_1}{N_2}

[]ȥ󥹤δδ򾯤ʤȡˤѤϰ¤ʤ뤬ŴˤѤ⤯ʤ롣

ͶƳϤμϼ̤Ǥ롣

E=4.44~Nf~\phi_m

ƱͶƳE뤿ˤϡN򾮤ȡȿfϰȤơ«κͦm礭ɬפ롣
ѰŴμ«κͤ礭ȡ䤬Ŵ˰¤롣˰¤֤ǻȤ³ȡ«ŰήΥդ԰ˤʤäƤޤ

«κͤ礭ʤäƤ⡢Ŵ˰¤ʤ褦ˤ뤿ˤϡŴƼ«򤿤̤褦ˤʤФʤʤΤǤ롣

ȥ󥹤»

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  • 1Υȥ󥹤ˤ路2ĤδꡢŸ¦δ¦δ󼡴Ȥ
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ľ

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  • ľϡŴѰѤ롣
    • 켡󼡴ŴӤμ֤롣

Ŵ

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  • ˤϡŴ»򾯤ʤ뤿ˡ0.230.35mmǹġʥǴͭ3.5%١ˤѤ롣
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¾°

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ॻȳΥ롣
̤Υȥ󥹤ʤɤ¿Ѥ롣

Ѵ

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Ŵ»

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    • ̩ˤϰ㤦̵»ȤäŴ»»ȤäƼ»ͤФ褤
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    • Ĥޤꡢȥ󥹤2¦٤³ʤǤȯ»

[]Ŵ»Piҥƥꥷ»ܲή»

ҥƥꥷ»

  • ҥƥꥷ롼פˤ»

[ˡ§]P_h~=~K_h~f~B_m^{1.6}~\sim~K_h~f~B_m^2~\,\[W~/~kg\]

  • KhŴˤäޤҥƥꥷ
  • fȿ[Hz]
  • Bm缧«̩١[T]

ή»

  • «ѲˤꡢŴ뱲ήˤ»

[ˡ§]P_e~=~K_e~t^2~f^2~B_m^2~\,~\[W/kg\]

  • KeŴĤθΨˤäޤ
  • fȿ[Hz]
  • Bm缧«̩١[T]
  • tŴĤθ[m]

Ƽ»

  • ήή뤳Ȥˤꡢ񹳤»
  • ٤γΨˤ2㤹롣
    • 㤨Сٻ100%١ˤƼ»1Ȥȡ50%ٻ»1/4Ǥ롣

[]Ƽ»Pc»ʥ塼Ǯ

»

  • 񹳤ˤ»I2

ɺͷ»

  • ήή줿Ȥϳ켧«ˤ»

ȥ󥹤θΨ

  • ΨϽϤϤɽ롣
¬Ψºݤ¬ꤷƻФ롣
§Ψʤ줿§˽ä»ꤷФ롣
  • ѰθΨϵΨѤΤɸǤ롣

Ψ

[]ΨǤȤȡΩġ

{ʽϡ/ϡ}100
{ʽϡ/ʽϡ»}100
=~\frac{Output~\,~\[kW\]}{Output~\,~\[kW\]~+~Loss~\,~\[kW\]}~\times~100~\,~\[%\]
{ʽϡ/ʽϡŴ»Ƽ»}100
{ϡ»/ϡ}100

ٻθΨ

[]ٻΥȥ󥹤θΨǤϡμǷ׻Ǥ롣
\eta~=~\frac{W~\cos{\theta}}{W~\cos{\theta}~+~P_i~+~~P_{cn}}~\times~100~\,~\[%\]

  • Wȥ󥹤̡[kVA]
  • cosȡΨ
  • PiŴ»[kW]
  • Pcn١١˻Ƽ»[kW]

ٻθΨ

[]ΨΤȤΥȥ󥹤θΨϡμǷ׻Ǥ롣
\eta_{\alpha}~=~\frac{\alpha~P~\cos{\theta}}{\alpha~P~\cos{\theta}~+~P_i~+~P_c}~\times~100~\,~\[%\]
=~\frac{\alpha~P~\cos{\theta}}{\alpha~P~\cos{\theta}~+~P_i~+~\alpha^2~P_{cn}}~\times~100~\,~\[%\]

  • Ψ
    • [kVA]/Ѱ [kVA]
  • Pȥ󥹤̡[kVA]
  • PcnƼ»[kW]
    • 2PcΨΤȤƼ»
  • PiŴ»[kW]
  • cosȡ٤Ψ

[]

\eta_{\alpha}
=~\frac{Output~\,~\[kW\]}{Output~\,~\[kW\]~+~Loss~\,~\[kW\]}~\times~100~\,~\[%\]ʢȥ󥹤θΨǤ
=~\frac{\alpha~P~\cos{\theta}}{\alpha~P~\cos{\theta}~+~P_i~+~\alpha^2~P_c}~\times~100~\,~\[%\]ʢϡPcos [kW]»Ŵ»ˡܡΨΤȤƼ»ˡPiܦ2Pc [kW]ˡ

[]10[kVA]Ŵ»100[W]Ƽ»250[W]Ѱ郎롣ʤ1/2٤ˤΨ[%]ͤϡŸ3

[]

  • P=10 [kVA]
  • Pi=100 [W]=0.1 [kW]
    • [kW]ѴƤȡ
  • Pc=250 [W]=0.25 [kW]
  • =1/2
  • cos=80 [%]=0.8

\eta_{\alpha}
=~\frac{\alpha~P~\cos{\theta}}{\alpha~P~\cos{\theta}~+~P_i~+~\alpha^2~P_{cn}}~\times~100
=~\frac{\frac{1}{2}~10~\cdot~0.8}{\frac{1}{2}~10~\cdot~0.8~+~0.1~+~(\frac{1}{2})^2~0.25}~\times~100
=\frac{4}{4~+~0.1~+~0.0625}\times~100
=\frac{4}{4.1625}\times~100
\approx~0.9609~\times~100
\approx~96.1

Ψˤȥ󥹤θΨѲ롣
ǹΨˤʤȤΨϼ̤Ǥ롣

[]Ŵ»PiˤΨˤƼ»ʦ2PcˤȤˡǹΨˤʤ롣

[]

\eta_{\alpha}~=~\frac{\alpha~P~\cos{\theta}}{\alpha~P~\cos{\theta}~+~P_i~+~\alpha^2~P_{cn}}~\times~100
\eta_{\alpha}~=~\frac{P~\cos{\theta}}{P~\cos{\theta}~+~\frac{P_i}{\alpha}~+~\alpha~P_{cn}}~\times~100ʢʬ졦ʬҤdz

ǡPcosȤϦͤˤ餺Ǥ뤿ᡢǤˤ뤿ˤʬ(\frac{P_i}{\alpha}~+~\alpha~P_{cn})ǾˤʤФ褤

\frac{P_i}{\alpha}~\times~\alpha~P_{cn}~=~P_i~P_{cn}ȤʤǤ롣
ΤᡢǾ*1ꡢ2(\frac{P_i}{\alpha}~+~\alpha~P_{cn})ǾȤʤΤϡ2Ȥ¨\frac{P_i}{\alpha}~=~\alpha~P_{cn}ΤȤǤ롣

äơǹΨȤʤΨϼ̤Ǥ롣

\frac{P_i}{\alpha}~=~\alpha~P_{cn}
P_i~=~\alpha^2~P_{cn}
\alpha~=~\sqrt{\frac{P_i}{P_{cn}}}

[]ǹΨȤʤΨϤ狼äΤǡmaxͤϼΤ褦ˤʤ롣

\eta_{max}~=~\frac{\alpha~P~\cos{\theta}}{\alpha~P~\cos{\theta}~+~2P_i}~\times~100

or

\eta_{max}~=~\frac{\alpha~P~\cos{\theta}}{\alpha~P~\cos{\theta}~+~2~\alpha^2~P_{cn}}~\times~100

Ψ

[]ȥ󥹤1ΨΨȤdȤȡμǷ׻Ǥ롣
\eta_{d}~=~\frac{\alpha~W~\cos{\theta}~\times~T}{\alpha~W~\cos{\theta}~\times~T~+~P_i~\times~24~+~\alpha^2~P_{cn}~\times~T}~\times~100~\,~\[%\]

  • T٤Φܤ٤DZž֡[h]

ȥ󥹤μ

¤ˤʬ

ŴڤʤƤĤ

ŴڤƤĤ

Ѥˤʬ

ڤ֤餤Ѱ

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Ѱ

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[]⡼Ѱ

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Ѱ

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  • ΤȤơdz̵ǡ̵SF6ϻեòβ˥ðѰ
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  • dz
  • ʥڡ

ǽˤʬ

Ÿȥ󥹡̾Υѥȥ󥹡

  • E-IŴȤäŴȥ󥹤ȡåȥȤäŴȥ󥹤2ब롣
  • ̾1¦Ÿ³2¦ɬפŰƤ롣
  • Űϡ1¦2¦ΥδǷޤ롣

ǥȥ

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  • ɤΥȥ󥹤1¦2¦ߡߦȡԡ椬ɽƤ롣

ȥ

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ɥȥ

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  • ̿طǤϸŤѤƤ

Υåȥȥ

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  • ⡼ɤȥΡޥ⡼ɤΥΥ˸̤롣

ȥ

  • 1Ű2ŰŰʬƱǤѰ

[]

6,000V3,000Vɤⰵ*2
420V210Vɤ㰵

ȥȥ󥹤ȹȥȥ

ȿ⤤Ȥˤϥ̵ȤŬե饤ȥ줿ȥȥ󥹤Ȥ롣

  • ȥȥ
    • AC100V򤽤Τޤήľή(DC140V)Ѥ塢ȥС50kHzʾιȸήѴ롣 ȥ󥹤Ѱơήľή롣 ȤΤȥ󥹤Ū˥ѥȤˤʤ롣
      • 㡧åŸ
  • ȥȥ
    • AC100Vȥ󥹤ǤޤɬפŰѴƤήľή롣 ñȥ󥹤Ȥư뤿Ť礭
      • 㡧꡼Ÿ

ŰĴ

ԡ2¦ʤˤ1¦¿ˤδ֤˥ȥ󥹤򶴤ळȤˤꡢ1礭Ϥä롣Ǵ10:1Ȥ롣ԡΥԡ󥹤8ǤȤ2㤹Τ8102800Ѵ줿ΤȤʤ롣̤Ȥơȥ󥹤ʤΤȤ٤100ܡ8008100ܡˤ礭ϤФ롣

ʤŰμȿ㤤Τǡϩ˻Ȥȥ󥹤ȥȥȤ

ȥ󥹤α

Ѱ

  • ŤƤŰŵѤŰ˲롣

ưз

  • ФΤϡ10,000Vι⤤ŰɬפǤ롣ŰХץ饰ˤŵβв֤Фȯ롣
    • ιŰΤѰܤǤ롣ư֤ŸΥХåƥ꡼ľή12VǤꡢ10,000VޤǾ뤿ˡ2¦δ1¦800ܤˤ⤷ʤФʤʤ餤ľήʤΤǡήΤ褦Ϣ³ŪήήȤϤǤʤ³ŪŸåON/OFFȤߤɬפˤʤ롣ΤդƤΤǤ롣ư֤ǤϥβžˤäƥåON/OFFΤǤ롣

ACץ

  • Ѥ100Vθή򡢤줾ε郎ưŰľήѴ뵡ǽġ

Ѥŵ

Ƥ100V򼡤˼ͤѴΤŸȥ󥹤ܤǤ롣

Ž

  • ȯŽǺ줿VȤŰŵϡĤŽ̤äƽ㤤ŰѴ졢ǸξˤѰ*3ǡ100VޤDzƳƲۤƤ롣

ȥ󥹤θξ

    • ȥȥ󥹤δϺ٤Τǡˤäڤ뤳Ȥ⤢롣
  • 쥢硼
    • Ÿȥ󥹤ǤϡƱΤܿꡢŴĤȥ硼Ȥꤹ뤳Ȥ⤢롣
  • پ»
    • Ÿȥ󥹤ϸΨ100%ǤϤʤ»ʬȯǮ뤳Ȥˤʤ롣ȯǮΤΤϰ۾ǤϤʤ٤򤫤ꡢ쥢硼ȤäꤹȰ۾˲٤徺ȤˤdzƤޤȤ⤢롣

ȥ󥹤γƼ

񹳤¬

  • ȥ󥹤ΰ켡󼡴񹳤ϡƴľήήήŰ߲¬ꤷƵ롣

Ѱˤ¬

  • ȥ󥹤δϡ켡ŬŰV1ä̵üŰV2¬ꤷơŪ˼μǵ롣

\frac{V_1}{V_2}~\approx~\frac{E_1}{E_2}~=~\frac{N_1}{N_2}~=~a

  • ȲöȽ̤
  • ȥ󥹤ñȤǻѤ¾٤ä˱뤿ᡢĤΥȥ󥹤³Ʊž뤳Ȥ롣
    • Τ褦ʾ硢֥ȥ󥹤ζסĤޤְ켡󼡴ͶƳϤдطפΤɬפ롣Τ褦ʤȤ˶Ԥ롣

[]켡󼡴Τ줫ǸäƵդ³򤷤Ƥޤȡ2ѰŰεϤ󼡴ˤäƷIJϩƱľ³뤳Ȥˤʤ롣

ξ硢Υԡ󥹤ϾΤǡ礭ʽ۴ήήơ»롣

  • ȥ󥹤ζϡβϩ˼褦üҵU,V,u,v֤ˤäơȲöʬव롣
  • 2ĤŰV1,V2Ѥơ켡üU,VŰäƹԤ롣

η̡ȽˤꡢöȽ̤ǽȤʤ롣

[1]V1V2ξ硢\dot{E}_1\dot{E}_2Ǥä礦ˡ

[2]V1V2ξ硢ö\dot{E}_1\dot{E}_2ä礦ˡ

[]ܤΥȥ󥹤ϡɸǤ롣

̵ٻ

  • ̵»Ŵ»ˤ弧ή¬ꤹ
  • ¦켡¦üҴ֤ŰV1näơϤή¬ꤹ롣
    • ΤȤϷWλؼPi̵»ĤޤŴ»ǤꡢήAλؼI0弧ήǤ롣

û

  • »Ƽ»ˤûԡ󥹤¬ꤹ
  • ¦û켡¦ήI1nή褦ŰV1säŰήϤ¬ꤹ롣
    • ΤȤŰVλؼV1sʤԡŰȸƤ֡ˤϡήI1nήƤȤΰ켡󼡴Υԡ󥹤ˤŰ߲ɽƤ롣
    • ϷWλؼPsʤԡ󥹥åȸƤ֡ˤϡ٤򤫤Ȥ»ĤޤƼ»Pcnɽ
  • Ѱΰ켡󼡴ιԡ󥹡ʤûԡȸƤ֡ˤϡ\frac{V_{1s}}{I_{1s}}ǵ롣

%Z,p,qη׻

  • ûˤꡢȥ󥹤Υѡȥԡ%Zѡpѡȥꥢq뤳ȤǤ롣

ûϩʰ켡¦

%Z
=\frac{I_{2n}~\sqrt{R_2^2~+~Z_2^2}}{V_{2n}}~\times~100
=\frac{a~I_{1n}~\cdot~\frac{1}{a}~\sqrt{R_1^2~+~Z_1^2}}{\frac{V_{1n}}{a}}~\times~100ʢ贬=aꡢR_1~=~r_1~+~a^2~r_2~=~a^2(\frac{r_1}{a^2}~+~r_2)=a^2R_2,~\,~X_1~=~x_1+a^2x_2~=~a^2~X_2
=\frac{I_{1n}~\cdot~\sqrt{R_1^2~+~Z_1^2}}{V_{1n}}~\times~100
=\frac{V_{1s}}{V_{1n}}~\times~100~\,~\[%\]ʢˡ§V=IZꡢV_{1s}=I_{1n}~\sqrt{R_1^2~+~X_1^2}ˡ(*)

p
=\frac{I_{2n}~R_2}{V_{2n}}~\times~100
=\frac{a~I_{1n}~\cdot~\frac{R_1}{a}}{\frac{V_{1n}}{a}}
=\frac{I_{1n}~R_1}{V_{1n}}~\times~100
=\frac{I_{1n}^2~R_1}{V_{1n}~I_{1n}}~\times~100
=\frac{P_{cn}}{W}~\times~100
=\frac{P_s}{W}~\times~100~\,~\[%\](**)

äơѡȥꥢq[%]ϼΤ褦˷׻Ǥ롣

q
=~\sqrt{%Z^2~-~p^2}
=~\sqrt{(\frac{V_{1s}}{V_{1n}})^2~-~(\frac{P_s}{W})^2}~\times~100~\,\[%\]ʢ(*)(**)

ʸ

  • ŵΤȤ狼ŵ
  • ظƤ狼Υλˡк
  • ؿ޲򡡤ϤƳؤŵϩ
  • إ饯饯ˤ4β򤤤ƳФ꽸
  • ؼŵεΡ
  • Ÿ3盧꡼ˡ
  • زǡŸ3˥塼꡼


*1 Ǿϡ2ĤοABˤĤơABʤСA=BΤȤA+BϺǾȤʤפǤ롣
*2 ŵѴǤϡήˤäƤϡ600VʲΤΤ㰵600VĶ7,000VʲΤΤⰵ7,000VĶΤ̹ⰵȤ
*3 ǶǤϾ֤ƤΤ⤢롣