J. Inst. Electrostat. Jpn.

, 31, 2 (2007) 66 71៊ᄬ㔚ᵹߦࠃࠆ᳓࠻࡝࡯ᬌ಴ߩࠪࡒࡘ࡟࡯࡚ࠪࡦદ⮮ ᷕ㧖,1㧘㋈ᧁ 㓷ผ**㧘㋈ᧁ ᥍ᒾ㧖㧘ศ᧛ ᣹**
㧔2006 ᐕ 4 ᦬ 11 ᣣฃઃ㧘2006 ᐕ 11 ᦬ 22 ᣣฃℂ㧕Simulation of Water Tree Detection by Loss Current
Atsushi ITO*,1, Masafumi SUZUKI**, Haruhiko SUZUKI* and Noboru YOSHIMURA**(Received April 11, 2006 ; Accepted November 22, 2006)

Degradation of XLPE cable by water trees is still one of the serious factors of the cable accident.
Therefore, not only the prevention of water tree but also the detection of water tree at early stage is very
important. Until now, a lot of methods which can detect water trees have been studied. In thesetechniques, the loss current measurement is paid to attention as a method that can detect water trees by
nondestructive. Many studies have been carried out including numerical simulations, in order to understandthe mechanisms of loss current generation and the relationship between the progress of water tree and theloss current. In the previous studies, the shape of water tree was not considered though the length of watertree had been considered in the simulation of loss current measurements. However, water tree changes it’sshape by the situation, therefore, in water tree’s simulation, it is necessary to consider not only the length ofwater tree but also it’s shape. In the present paper, we examined the possibility of the detection of watertree by the loss current measurement while changing the shape and the length of water tree.
䋱㪅 䈲䈛䉄䈮

᳓࠻࡝࡯⊒↢⹜ᢱߩ៊ᄬ㔚ᵹࠍ᷹ቯߒߚ႐ว㧘៊ᄬ㔚ᵹ᨞ᯅࡐ࡝ࠛ࠴࡟ࡦ㧔XLPE㧕ࠤ࡯ࡉ࡞ߦ߅ߌࠆ᳓࠻࡝࡯ᵄᒻߦᱡ߇⷗ࠄࠇ㧘ߎߩࠃ߁ߥᵄᒻߩᱡߺߦࠃࠆ㜞⺞ᵄ߇ഠൻߪ㧘੹ߥ߅ࠤ࡯ࡉ࡞੐᡿ߩਥⷐߥේ࿃ߩ৻ߟߣߥߞߡ⊒↢ߔࠆ㧚․ߦ㜞⺞ᵄߩ߁ߜᦨᄢߢ޽ࠆ╙㧟㜞⺞ᵄ㔚ᵹߣ޿ࠆ㧚ࠤ࡯ࡉ࡞ߩ⛘✼⎕უߦ઻߁஗㔚੐᡿ߪ␠ળ⊛ߦ߽ᄢ᳓࠻࡝࡯ኸᴺ㧘੤ᵹ⎕უ㔚࿶╬ߣߩ㑆ߦߪ⋧㑐㑐ଥ߇޽ࠆ߈ߥ໧㗴ߣߥࠆߎߣ߆ࠄ㧘᳓࠻࡝࡯ߩ⊒↢ᛥ೙ߪ൩⺰ߩߎߣ⸒ࠊࠇߡ޿ࠆ㧚៊ᄬ㔚ᵹߩᱡߺߪ᳓࠻࡝࡯ߩ㕖✢ᒻߥ㔚ߣ㧘ᣢ⸳ߩࠤ࡯ࡉ࡞ߦ߅޿ߡᣧᦼߦ᳓࠻࡝࡯ߩ⊒↢ࠍ⍮ࠆ᳇વዉ․ᕈߦ⿠࿃ߔࠆߣ⠨߃ࠄࠇ㧘ߎߩࠃ߁ߥ⃻⽎ࠍ⺑᣿ߎߣߪᭂ߼ߡ㊀ⷐߢ޽ࠆ㧚ߎߩߚ߼㧘⋥ᵹṳࠇ㔚ᵹ㧘⺃㔚ߔࠆߚ߼ࠪࡒࡘ࡟࡯࡚ࠪࡦᚻᴺࠍ฽߻ᄙߊߩ⎇ⓥ߇ߥߐࠇ․ᕈ㧘ᱷ⇐㔚⩄ߥߤߦᵈ⋡ߒߚ㕖ᵴ✢ߢߩഠൻ⸻ᢿᴺ߿⋥ߡ޿ࠆ㧚଀߃߫㧘Ꮉ੗ࠄߪ᳓࠻࡝࡯ߩ㕖✢ᒻߥ㔚࿶㧙㔚ᵹᵹ㊀⇥㧘ᵴ✢ tanǬ㧘៊ᄬ㔚ᵹߥߤߦ⌕⋡ߒߚᵴ✢ߢߩഠൻ․ᕈࠍ෺ᦛ✢㑐ᢙ߿ᄙ㗄ᑼߦࠃࠅࡕ࠺࡞ൻߒ㧘᳓࠻࡝࡯⊒⸻ᢿᴺ߇⎇ⓥߐࠇߡ޿ࠆ㧚ߎࠇࠄߩഠൻ⸻ᢿᴺߩਛߢ,៊ᄬ↢⹜ᢱࠍᧂഠൻㇱߣഠൻㇱߩ㧞ጀ߆ࠄߥࠆࡑࠢࠬ࠙ࠚ࡞㧙

㔚ᵹ᷹ቯᴺߪᵴ✢⁁ᘒߢ㕖⎕უߦࠃࠅ᳓࠻࡝࡯ᬌ಴ߩน⢻ࡢࠣ࠽࡯ဳߩ⺃㔚૕ߣߺߥߒߡ៊ᄬ㔚ᵹߩ⸃ᨆࠍ⹜ߺߡ߅ᕈ߇޽ࠆᚻᴺߣߒߡᵈ⋡ߐࠇߡ޿ࠆ㧚ࠅ㧘ࡕ࠺࡞ߩࡄ࡜ࡔ࡯࠲ࠍㆡಾߦ⸳ቯߔࠆߣㆊ෰ߦႎ๔ߐࠇߡ޿ࠆ៊ᄬ㔚ᵹߩ․ᓽ߇ౣ⃻ߢ߈ࠆߎߣࠍ᣿ࠄ߆ߦߒߡࠠ࡯ࡢ࡯࠼㧦᳓࠻࡝࡯㧘╬ଔ࿁〝㧘ࠪࡒࡘ࡟࡯࡚ࠪࡦ㧘៊ᄬ㔚ᵹ* ⑔ፉᎿᬺ㜞╬ኾ㐷ቇᩞ㔚᳇Ꮏቇ⑼㧔970-8034 ޿ࠊ߈Ꮢᐔ਄⨹Ꮉሼ㐳የ 30㧕
Fukushima National College of Technology, 30 Nagao
Kamiarakawa Taira, Iwaki, 970-8034, Japan** ⑺↰ᄢቇᎿቇ⾗Ḯቇㇱ㔚᳇㔚ሶᎿቇ⑼㧔010-8502 ⑺↰Ꮢᚻᒻቇ࿦↸ 1-1㧕Engineering and Resource Science, Akita University 1-1
Tegata Gakuenmachi, Akita 010-8502, Japan
1atsuito@fukushima-nct.ac.jp޿ࠆ 1)㨪4)㧚
ߒ߆ߒߥ߇ࠄ㧘᳓࠻࡝࡯ߪߘߩ⊒↢▎ᚲ߿⊒↢᧦ઙߦࠃࠅߘߩᒻ⁁ࠍ᭽‫ߦޘ‬ᄌ߃ࠆ㧚ᓥߞߡ㧘╩⠪ࠄߪ᳓࠻࡝࡯ߩિ߮ߣ៊ᄬ㔚ᵹߩ㑐ଥߩߺࠍ⼏⺰ߔࠆߩߢߪߥߊ㧘ߘߩᒻ⁁ߩ㆑޿߹ߢ߽⠨ᘦߒߚࠪࡒࡘ࡟࡯࡚ࠪࡦ߇ᔅⷐߢ޽ࠆߣ⠨߃╬ଔ࿁〝ࡕ࠺࡞ࠍ↪޿ߚ⎇ⓥࠍⴕ޿㧘᳓࠻࡝࡯ߩિ߮߇หߓߢ޽ߞߡ߽ߘߩᒻ⁁߇⇣ߥࠆߣⷰኤߐࠇࠆ៊ᄬ㔚ᵹᵄᒻߦ㆑޿߇޽ࠆน⢻ᕈࠍ⷗಴ߒߚ 5)㧚

67 (27)ߘߎߢ㧘ᧄ⎇ⓥߢߪ᳓࠻࡝࡯ߩᣧᦼ⊒⷗ࠍ⋡⊛ߣߒ㧘❑㐳ߩᬦ౞ᒻ㧔L1:L2=1:0.5㧕ߦ᳓࠻࡝࡯߇⊒↢ߒߚࡕ࠺࡞

⒳‫ߩޘ‬ᒻ⁁ߩ᳓࠻࡝࡯ߩિዷࠍᮨᡆߒ㧘ߎࠇߦታല୯߿๟ࠍ⠨߃ߚ㧚ᮮ㐳ߩᬦ౞ᒻᒻ⁁ߪ㧘᳓࠻࡝࡯ߩᒻ⁁ߣ៊ᄬ㔚ᵄᢙߩ⇣ߥࠆᱜᒏᵄ੤ᵹ㔚࿶ࠍශടߒߚ႐วߤߩࠃ߁ߥ៊ᵹߩ㑐ଥࠍᲧセߔࠆߚ߼ߦ઒ቯߐࠇߚ㧚߹ߚ㧘઒ቯߒߚࡕ

ᄬ㔚ᵹ߇ᓧࠄࠇࠆ߆ࠍࠪࡒࡘ࡟࡯࡚ࠪࡦߒ㧘ߎߩ⚿ᨐ߆ࠄ

࠺࡞(b)ߣ(c)ߦ߅޿ߡᬦ౞ߩ⍴ゲߣ㐳ゲߩᲧ߇⇣ߥࠆ߇㧘ߎࠃࠅᣧߊ᳓࠻࡝࡯ࠍᬌ⍮ߢ߈ࠆ᧦ઙࠍ᣿ࠄ߆ߦߔࠆߎߣࠍ

ߎߢߪ⍴ゲߣ㐳ゲߩᲧ₸ߦࠃࠆ៊ᄬ㔚ᵹߩ㆑޿ࠍᬌ⸛ߔࠆ

⋡⊛ߣߒߚ㧚ߩߢߪߥߊ㧘ᒻ⁁ߩ㆑޿ߦࠃࠆ៊ᄬ㔚ᵹߩ㆑޿ߦ⌕⋡ߒߚߚ߼㧘ࡕ࠺࡞૞ᚑߩኈᤃߥᲧ₸ࠍណ↪ߒߚ㧚ߥ߅㧘᳓࠻࡝࡯ߩ㐳ߐߪߘࠇߙࠇߩࡕ࠺࡞ߦ߅޿ߡ㔚ᭂ㑆㐳ߦኻߒߡ䋲㪅 ╬ଔ࿁〝䊝䊂䊦5)ߣห᭽ߦ࿑㧝ߦ␜ߔࠃ߁

20㧑㧘40㧑㧘60㧑㧘80㧑߹ߢિዷߒߚࡕ࠺࡞ࠍ⠨߃ߚ㧚ߎ

ߥෘߐ 1mm ߩ XLPE ⹜ᢱߦ᳓࠻࡝࡯߇⊒↢ߒߚ⁁ᘒࠍᮨߎߢ㧘᳓࠻࡝࡯ౝߦ฽߹ࠇࠆࠗࡦࡇ࡯࠳ࡦࠬ Z ࠍᣂߚߦ㔚ᡆߔࠆ㧚⹦⚦ߪవߩ⺰ᢥߦ⹦ߒߊㅀߴࠄࠇߡ޿ࠆߩߢߎߎ࿶ଐሽဳᛶ᛫ߦ឵߃㧘࿁〝ࠪࡒࡘ࡟࡯࠲(PSpice)ࠍ↪޿ߡ⸃ߢߪഀᗲߔࠆ߇㧘⹜ᢱߩෘߐߪ᏷ߦᲧߴߡ⭯ߊ㧘㔚⇇ߪ❑ᨆࠍⴕߞߚ㧚ߥ߅㧘㔚࿶ଐሽဳᛶ᛫ߩ㔚࿶㧙㔚ᵹ․ᕈߪᧄ

ᣇะߢ޽ࠆߚ߼㧘᳓࠻࡝࡯ࠍ࿑㧝ߩࠃ߁ߦ਄ㇱ᳓㔚ᭂࠍ฽੗ࠄߩ⽾ㅢ᳓࠻࡝࡯ߩ㔚࿶㧙㔚ᵹ․ᕈߩታ᷹୯ 8)ࠃࠅ᳿ቯ

߻㔚⇇ߦᐔⴕߥᢿ㕙ߦᛩᓇߒߚ 2 ᰴరࡕ࠺࡞ߢ⠨߃ࠆߎߣߒߚ 5)㧚

ᧄ⎇ⓥߦ߅޿ߡ߽㧘వߩ⺰ᢥߦߔࠆ㧚߹ߚ㧘XLPE ⹜ᢱߪᮮᣇะߦ 60 ಽഀ㧘❑ᣇะߦ30 ಽഀߐࠇߡ߅ࠅߘࠇߙࠇߩႺ⇇ㇱಽߦᛶ᛫ R ෸߮ࠦࡦ࠺䋳㪅 ⸘▚⚿ᨐ䈫ᬌ⸛ࡦࠨ C ߩਗ೉࿁〝߆ࠄߥࠆࠗࡦࡇ࡯࠳ࡦࠬ Z ࠍ㈩⟎ߔࠆ㧚೨ㅀߩࠃ߁ߦ᳿ቯߐࠇߚ 3 ⒳㘃ߩᒻ⁁㧘4 ⒳㘃ߩિ߮㧔⸘ᛶ᛫ R ෸߮ࠦࡦ࠺ࡦࠨ C ߩ୯ߪ XLPE ⹜ᢱߩታ᷹࠺࡯࠲ࠍ12 ⒳㘃㧕ߩ᳓࠻࡝࡯ࡕ࠺࡞ߘࠇߙࠇߦኻߒߡ㧘ᱜᒏᵄ੤ᵹ

ၮߦ㧘R=1.0Tǡ㧘C=0.012pF ߣ᳿ቯߐࠇߚ㧚㔚࿶ߩ๟ᵄᢙࠍ 50Hz㧘100Hz㧘200Hz㧘400Hz㧘600Hz㧘800Hz㧘

6)

7)

ታ㓙ߩ CV ࠤ࡯ࡉ࡞ߢߪ㧘ౝ↰ࠄ 㧘ᾢỈࠄ ߩႎ๔ߦ߽

1kHz㧔7 ㅢࠅ㧕㧘ታല୯ࠍ 1kV㧘2kV㧘4kV㧘6kV㧘8kV㧘10kV޽ࠆࠃ߁ߦ㧘ᒻ⁁߇౞ᒻߦㄭ޿᳓࠻࡝࡯߿㔚⇇ᣇะߦ⚦㐳

㧔6 ㅢࠅ㧕ߣᄌ߃ߚ㧘ว⸘ 42 ⒳㘃ߩ㔚࿶ශട᧦ઙߢ៊ᄬ㔚ߊિ߮ߚ᳓࠻࡝࡯ߥߤ߇ⷰኤߐࠇߡ޿ࠆ㧚᳓࠻࡝࡯ᒻ⁁ߪ㧘ᵹࠍ᳞߼ߚ㧚એਅߦ㧘᳓࠻࡝࡯ߩᒻ⁁ߏߣߦ߹ߣ߼ߡ⚿ᨐߘߩ⊒↢⿠ὐ߿㔚࿶ශട᧦ઙߥߤߦࠃࠅ᭽‫ߦޘ‬ᄌൻߔࠆߣࠍᢛℂߔࠆ㧚ᕁࠊࠇࠆ߇㧘ᧄ⎇ⓥߢߪ਄⸥ߩႎ๔ߦ޽ࠆᒻ⁁ࠍෳ⠨ߦ㧘䋳㪅䋱 ౞ᒻ䊝䊂䊦◲නൻߩߚ߼ XLPE ⹜ᢱߦ࿑㧞(a)ߩࠃ߁ߦ౞ᒻߦ᳓࠻࡝࡯

࿑㧟ߦ▚಴ߐࠇߚ៊ᄬ㔚ᵹߩ৻଀ߣߒߡ㧘᳓࠻࡝࡯߇㔚ᭂ߇ ⊒ ↢ 㧘 િ ዷ ߒ ߚ ࡕ ࠺ ࡞ 㧘 (b) ߩ ࠃ ߁ ߦ ᮮ 㐳 ߩ ᬦ ౞ ᒻ㑆ߩ 20㧑߹ߢિዷߒߚ႐วߦ๟ᵄᢙ 200Hz㧘ታല୯ 1kV㧘
2kV㧘

㧔L1:L2=1:1.5㧕ߦ᳓࠻࡝࡯߇⊒↢ߒߚࡕ࠺࡞㧘(c)ߩࠃ߁ߦ

4kV㧘6kV㧘8kV㧘10kV ߩ㔚࿶ࠍශടߒߚ႐วࠍ␜ߔ㧚࿑ࠃࠅ㧘ߎߩ๟ᵄᢙ㧔200Hz㧕ߦ߅޿ߡߪ㧘៊ᄬ㔚ᵹߩ୯ߪ߶߷ශട㔚

XLPE

O
OO

࿶ߦᲧ଀ߒߡჇടߒߡ޿ࠆ੐߇ಽ߆ࠆ㧚߹ߚ㧘ߎߩ࿑߆ࠄߪ៊ᄬ㔚ᵹᵄᒻߩᄢ߈ߥᱡߺߪ⹺߼ࠄࠇߥ޿㧚៊ᄬ㔚ᵹ߇ᱡ߻ᄢ߈ߥේ࿃ߣߒߡ㧘╙ 3 㜞⺞ᵄߩሽ࿷߇ᜰ៰ߐࠇߡ߅ࠅ㧘ߎ

OOߩ╙ 3 㜞⺞ᵄߩሽ࿷ࠍᬌ⍮ߔࠆߎߣߢ㧘᳓࠻࡝࡯ߩሽ࿷ࠍᬌ⍮ߢ߈ࠆน⢻ᕈ߇޽ࠆ㧚࿑㧝 ᳓࠻࡝࡯ߩ᭎⇛࿑ߘߎߢ㧘ᧄ⎇ⓥߢߪᓧࠄࠇߚ៊ᄬ㔚ᵹᵄᒻࠍࡈ࡯࡝ࠛᄌ឵ߒ㧘Fig.1 Schematics of water tree.

(b)ᮮ㐳ᬦ౞ᒻࡕ࠺࡞࿑㧞 ᳓࠻࡝࡯ࡕ࠺࡞Fig.2 Water tree model.

䋦㪇㪍㪇㪏䋦䋦㪇㪏㪇㪋䋦㪇㪉䋦䋦㪇㪏

䋦(a)౞ᒻࡕ࠺࡞㪇㪍䋦䋦䋦䋦㪇㪋㪉㪣㪇㪍㪇㪉㪈㪣㪇㪋㪉㪣㪉㪣䋦㪈㪣㪈㪣㪇㪉╙ 3 㜞⺞ᵄߩ୯ࠍၮᧄᵄߢഀࠆߎߣߢ╙ 3 㜞⺞ᵄߩᲧ₸ࠍ᳞(c)❑㐳ᬦ౞ᒻࡕ࠺࡞

68 (28)31㪈㫂㪭㪉㫂㪭㪋㫂㪭㪍㫂㪭㪏㫂㪭㪈㪇㫂㪭㪈㪅㪇㪜㪄㪇㪏㪇㪅㪇㪇㪍㪇㪅㪇㪇㪎㪇㪅㪇㪇㪏㪇㪅㪇㪇㪐㪉㪌㪩㪸㫋㫀㫆䋨䋦䋩㪉㪅㪇㪜㪄㪇㪏㪣㫆㫊㫊 㪺㫌㫉㫉㪼㫅㫋䋨㪘䋩2007㪊㪇㪊㪅㪇㪜㪄㪇㪏㪇㪅㪇㪜㪂㪇㪇㪇㪅㪇㪇㪌㪄㪈㪅㪇㪜㪄㪇㪏

2㪉㪇㪈㪌
㪈㪇
㪌㪇㪅㪇㪈

㪇

㪌㪇 㪈㪇㪇㪉㪇㪇㪋㪇㪇 㪍㪇㪇㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐䋨㪟㫑䋩㪄㪉㪅㪇㪜㪄㪇㪏㪄㪊㪅㪇㪜㪄㪇㪏㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼䋨㪭䋩㪈㫂㪈㫂(a) Water tree expanded to 20%㪫㫀㫄㪼䋨䌳䋩࿑㧟 ៊ᄬ㔚ᵹᵄᒻާ200Hz㧘20㧑િዷި
Fig.3 Loss current waveform.

㪊㪇╙ 3 㜞⺞ᵄߩᲧ₸ࠍශട㔚࿶ߩ๟ᵄᢙ㧘ታല୯ࠍࡄ࡜ࡔ࡯࠲ߣߒߡ␜ߔ㧚ߎࠇࠄߩ࿑ࠃࠅ㧘޿ߕࠇߩ᳓࠻࡝࡯િዷഀวߢ㪩㪸㫋㫀㫆䋨䋦䋩㪉㪌߼ߚ㧚࿑㧠(a)㨪(d)ߦ᳓࠻࡝࡯߇ 20%㨪80㧑߹ߢિዷߒߚ㓙ߩ㪉㪇㪈㪌㪈㪇߽ශട㔚࿶߇㜞޿߶ߤ㧘߹ߚ๟ᵄᢙ߇㜞޿߶ߤ╙ 3 㜞⺞ᵄߩ㪌ഀวߪᄢ߈ߊߥߞߡ߅ࠅ㧘៊ᄬ㔚ᵹᵄᒻߩᱡ߇ᄢ߈ߊߥߞߡ㪇޿ࠆ੐߇ಽ߆ࠆ㧚ߎࠇߪ᳓࠻࡝࡯߇㕖✢ᒻߥ㔚᳇વዉ․ᕈࠍ

㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐䋨㪟㫑䋩㪈㫂㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼䋨㪭䋩㪈㫂ᜬߞߡ޿ࠆߚ߼ߢ㧘ශട㔚࿶ࠍ਄ߍࠆߎߣߦࠃࠅ㔚ᵹ߇㕖✢(b) Water tree expanded to 40%ᒻߦჇടߒߚߚ߼ߢ޽ࠆ㧚ห᭽ߦ๟ᵄᢙࠍ਄ߍࠆߎߣߦࠃࠅ
ᧂഠൻߩ XLPE ㇱಽߩ㔚࿶ಽᜂ߇ᷫࠅ㧘᳓࠻࡝࡯ഠൻㇱߩ㔚࿶ಽᜂ߇਄᣹ߒ㧘㔚ᵹ߇㕖✢ᒻߦჇടߔࠆߎߣߦࠃࠅᱡߺ߽㪊㪇㪉㪌߹ߚߪ๟ᵄᢙߩჇടߦኻߔࠆ╙ 3 㜞⺞ᵄߩഀวߩჇടߪ㘻๺㪉㪇௑ะ߇⷗ࠄࠇࠆ㧚଀߃߫િዷഀว߇ 20㧑ߩ႐วߦ߅޿ߡශട
㔚࿶ࠍ 10kV ߣߒߚ႐ว㧘๟ᵄᢙ߇ 100Hz ߆ࠄ 600Hz ߹ߢߪ㪩㪸㫋㫀㫆䋨䋦䋩ᄢ߈ߊߥࠆ㧚ߒ߆ߒ㧘หߓિዷഀวߢᲧセߔࠆߣ㧘ශട㔚࿶㪈㪌㪈㪇

╙ 3 㜞⺞ᵄߩᲧ₸߇ᄢ߈ߊჇടߒߡ޿ࠆߩߦ㧘600Hz એ਄ߢ㪌ߪჇട௑ะ߇㊰ൻߒߡ޿ࠆ㧚ห᭽ߦශട㔚࿶ߩ๟ᵄᢙࠍ 1kHz㪇ߦ࿕ቯߔࠆߣ㧘ශട㔚࿶߇ 1kV ߆ࠄ 6kV ߹ߢߪ╙ 3 㜞⺞ᵄߩᲧ₸߇ᕆჇߒߡ޿ࠆ߇㧘ߘࠇએ਄ߢߪ߿߿㊰ൻߩ௑ะ߇⷗ࠄ㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐䋨㪟㫑䋩㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼䋨㪭䋩㪈㫂㪈㫂(c) Water tree expanded to 60%ࠇࠆ㧚᳓࠻࡝࡯િዷߦኻߔࠆ╙ 3 㜞⺞ᵄߩᲧ₸ߩᄌൻࠍ⷗ࠆߣ㧘㪊㪇Ⴧടߒߡ޿ࠆ㧚ߎࠇ߆ࠄ᳓࠻࡝࡯ߩિዷߣ╙ 3 㜞⺞ᵄߩᲧ₸㪉㪌ߦߪ㑐ㅪ߇޽ࠆ੐߇⏕⹺ߐࠇࠆ㧚಴᧪ࠆߛߌ᳓࠻࡝࡯⊒↢ߩ㪉㪇ೋᦼᲑ㓏ߢߎࠇࠍ៊ᄬ㔚ᵹߩᱡ߆ࠄᬌ಴ߔࠆߎߣࠍ⋡⊛ߣߔࠆߣ㧘៊ᄬ㔚ᵹߩ᷹ቯߪ಴᧪ࠆߛߌ㜞޿㔚࿶㧘๟ᵄᢙߢⴕ߁੐߇ᦸ߹ߒ޿㧚ߒ߆ߒ㧘ታ↪ᕈࠍ⠨߃ࠆߣ಴᧪ࠆߛߌශട㔚࿶෸߮๟ᵄᢙߪᛥ߃ߚ޿㧚᳓࠻࡝࡯ߩ㔚᳇․ᕈߪ᭽‫ࠆ޽ߢޘ‬߇㧘੹࿁઒ቯߒߚ᳓࠻࡝࡯ߢߪ 200Hz㧘6kV ޽ࠆ޿ߪ 100Hz㧘
8kV ⒟ᐲߩශട㔚࿶ߢၮᧄᵄߦኻߔࠆ╙ 3 㜞⺞ᵄߩᲧ₸߇ 1%ࠍ⿥߃㧘៊ᄬ㔚ᵹߩᱡ߆ࠄ᳓࠻࡝࡯ሽ࿷ߩᬌ⍮ߩน⢻ᕈ߇޽ࠆߣ⠨߃ࠄࠇࠆ㧚㪩㪸㫋㫀㫆䋨䋦䋩

޿ߕࠇߩශട㔚࿶᧦ઙߦ߅޿ߡ߽᳓࠻࡝࡯િዷߦ઻޿Ყ₸ߪ

㪈㪌㪈㪇㪌
㪇

㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐䋨㪟㫑䋩㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼䋨㪭䋩㪈㫂㪈㫂(d) Water tree expanded to 80%࿑㧠 ╙ 3 㜞⺞ᵄߩᲧ₸Fig.4 Ratio of third harmonics.

69 (29)䋳㪅䋲 ᮮ㐳ᬦ౞ᒻ䊝䊂䊦㪉㪌࿑㧡ߦ▚಴ߐࠇߚ៊ᄬ㔚ᵹߩ৻଀ߣߒߡ㧘᳓࠻࡝࡯߇㔚㪉㪇ടߒߚ႐วࠍ␜ߔ㧚ߎߩ᧦ઙߪ࿑㧟ߦ␜ߒߚ౞ᒻߩ᳓࠻࡝࡯ࡕ࠺࡞ߦട߃ߚ㔚࿶ߣหߓߢ޽ࠆ㧚࿑㧡ࠃࠅ㧘ᮮ㐳ߩᬦ㪩㪸㫋㫀㫆䋨䋦䋩ᭂ㑆ߩ 20㧑߹ߢિዷߒߚ႐วߦ๟ᵄᢙ 200Hz ߩ㔚࿶ࠍශ㪈㪌㪈㪇౞ᒻ᳓࠻࡝࡯ࡕ࠺࡞ߢ߽િዷഀว߇ 20㧑ߩ႐วߪ㧘៊ᄬ㔚㪌ᵹߪ߶߷ශട㔚࿶ߦᲧ଀ߒߡჇടߒߡ޿ࠆ੐߇ಽ߆ࠆ㧚߹㪇ߚ㧘⋡ⷞ߆ࠄߪᄢ߈ߥᵄᒻߩᱡߺߪ⹺߼ࠄࠇߥ޿㧚㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐䋨㪟㫑䋩㪏㫂㪋㫂㪈㫂 㪭㫆㫃㫋㪸㪾㪼䋨㪭䋩㪈㫂㪊㪅㪇㪜㪄㪇㪏㪇㪅㪇㪇㪍㪇㪅㪇㪇㪎㪇㪅㪇㪇㪏㪇㪅㪇㪇㪐㪉㪌㪄㪉㪅㪇㪜㪄㪇㪏㪄㪊㪅㪇㪜㪄㪇㪏㪉㪇㪇㪅㪇㪈㪩㪸㫋㫀㫆䋨䋦䋩㪣㫆㫊㫊 㪺㫌㫉㫉㪼㫅㫋䋨㪘䋩㪈㪅㪇㪜㪄㪇㪏㪇㪅㪇㪜㪂㪇㪇㪇㪅㪇㪇㪌㪄㪈㪅㪇㪜㪄㪇㪏(a) Water tree expanded to 20%

㪈㫂㪭
㪉㫂㪭
㪋㫂㪭
㪍㫂㪭
㪏㫂㪭
㪈㪇㫂㪭

㪉㪅㪇㪜㪄㪇㪏㪈㪌㪈㪇㪌㪫㫀㫄㪼䋨䌳䋩㪇

࿑ 5 ៊ᄬ㔚ᵹᵄᒻާ200Hz㧘20㧑િዷި
Fig.5 Loss current waveform.

㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇
㪝㫉㪼㫈㫌㪼㫅㪺㫐㩿㪟㫑㪀㪈㫂㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼㩿㪭㪀㪈㫂(b) Water tree expanded to 40%ߎߎߢ߽㧘౞ᒻߩ᳓࠻࡝࡯ࡕ࠺࡞ߩ⸃ᨆߣห᭽ߦ㧘៊ᄬ㔚ᵹᵄᒻࠍࡈ࡯࡝ࠛᄌ឵ߒ㧘╙ 3 㜞⺞ᵄߩၮᧄᵄߦኻߔࠆ
㪉㪌Ყ₸ࠍ᳞߼ߚ㧚⚿ᨐࠍ࿑㧢(a)㨪(d)ߦ␜ߔ㧚᳓࠻࡝࡯ߩિዷ㪉㪇ࠃࠆ╙ 3 㜞⺞ᵄߩഀวߩᄌൻߪ᭎ߨ౞ᒻߩ᳓࠻࡝࡯ࡕ࠺࡞
ߩ႐วߣห᭽ߢ㧘᳓࠻࡝࡯߇િ߮ࠆ߶ߤ╙ 3 㜞⺞ᵄߩഀว㪩㪸㫋㫀㫆䋨䋦䋩

ߦኻߔࠆ╙ 3 㜞⺞ᵄߩഀวߩᄌൻ㧘㔚࿶ශട᧦ઙߩ㆑޿ߦ㪈㪌㪈㪇ߪჇടߒ㧘ශട㔚࿶୯߿๟ᵄᢙ߇Ⴧടߔࠆ߶ߤ╙ 3 㜞⺞ᵄ㪌ߩഀวߪჇടߔࠆ㧚߹ߚ㧘࿑㧠ߦ␜ߒߚ౞ᒻߩ᳓࠻࡝࡯ࡕ

㪇࠺࡞ߩ╙ 3 㜞⺞ᵄߩᲧ₸ߣᲧセߔࠆߣ㧘଀߃߫ 200Hz㧘6kV㪌㪇 㪈㪇㪇
㪉㪇㪇㪋㪇㪇 㪍㪇㪇㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐㩿㪟㫑㪀ߩ᧦ઙߦ߅޿ߡ㧘᳓࠻࡝࡯߇ 20%િዷߒߚ႐วߪ౞ᒻࡕ࠺

㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼㩿㪭㪀㪈㫂㪈㫂(c) Water tree expanded to 60%

࡞ߢ╙ 3 㜞⺞ᵄߩᲧ₸߇ 1.40 ߢ޽ߞߚ߽ߩ߇ᮮ㐳ᬦ౞ࡕ࠺࡞ߢߪ 0.92㧘80%િዷߒߚࡕ࠺࡞ߢߪ౞ᒻࡕ࠺࡞ߩ႐วߩ
9.78%߇ᮮ㐳ᬦ౞ࡕ࠺࡞ߢߪ 7.95%ߣ㧘หߓ᳓࠻࡝࡯િዷഀ
㪉㪌วߦ߅޿ߡ㧘ᮮ㐳ᬦ౞ᒻ᳓࠻࡝࡯ࡕ࠺࡞ߩ╙ 3 㜞⺞ᵄߩᲧ㪉㪇ߢ᳓࠻࡝࡯ㇱಽߩ㔚࿶ಽᜂ߇ᷫዋߒߚߚ߼㧘㔚࿶㧙㔚ᵹ․ᕈߩ㕖✢ᒻᕈ߇ᷫዋߒߚߚ߼ߢ޽ࠆ㧚ߎࠇࠃࠅ㧘หߓ᳓࠻㪩㪸㫋㫀㫆䋨䋦䋩

₸ߪ߿߿ᷫዋߒߡ޿ࠆ㧚ߎࠇߪ㧘᳓࠻࡝࡯߇ᐢ߇ߞߚߎߣ

㪈㪌㪈㪇࡝࡯ߩિዷഀวߢ޽ߞߡ߽㧘᳓࠻࡝࡯߇㔚⇇ߦု⋥ߥᣇะ㪌ߦᐢ߇ࠅߥ߇ࠄિዷߒߚ႐วߦߪ៊ᄬ㔚ᵹᵄᒻߩᱡ߇ዋߥ

㪇ߊߥࠆ੐߇ಽ߆ࠆ㧚៊ᄬ㔚ᵹߩᱡ߆ࠄ᳓࠻࡝࡯ሽ࿷ߩ᦭ή㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐㩿㪟㫑㪀㪈㫂㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼㩿㪭㪀㪈㫂ࠍᬌ⍮ߒࠃ߁ߣߔࠆ㓙ߦߪߎߩ㆑޿ߪ㊀ⷐߢ޽ࠅ㧘㔚⇇ߦኻߒߡု⋥ᣇะߦᐢ߇ߞߚ᳓࠻࡝࡯ߪᬌ಴߇ᄙዋ㔍ߒߊߥ(d) Water tree expanded to 80%ࠆน⢻ᕈ߇޽ࠆ㧚࿑㧢 ╙ 3 㜞⺞ᵄߩᲧ₸౞ᒻࡕ࠺࡞ߩ႐วߣห᭽ߦ㧘᳓࠻࡝࡯ߩೋᦼᲑ㓏ߢߩᬌ

Fig.6 Ratio of third harmonics.

70 (30)3122007಴ߩน⢻ᕈࠍᬌ⸛ߔࠆߚ߼㧘િዷഀว 20㧑ߩ႐วߦᵈ⋡ߔ㪊㪌ࠆߣ㧘200Hz㧘6kV ߩ㔚࿶ࠍශടߒߡ៊ᄬ㔚ᵹࠍ᷹ቯߒߚ㪊㪇႐ว㧘╙ 3 㜞⺞ᵄߩᲧ₸ߪ౞ᒻࡕ࠺࡞ߩ႐วࠃࠅ 10%߶ߤน⢻ᕈߪ޽ࠆߣ⠨߃ࠄࠇࠆ㧚㪉㪌㪩㪸㫋㫀㫆䋨䋦䋩

ૐਅߔࠆ߇㧘ၮᧄᵄߦኻߒߡ 0.9%⒟ᐲߪ޽ࠅ㧘߹ߛᬌ಴ߩ

㪉㪇
㪈㪌
㪈㪇

䋳㪅䋳 ❑㐳ᬦ౞ᒻ䊝䊂䊦㪌ᰴߦ㧘࿑㧞(c)ߦ␜ߒߚ❑㐳ߦિዷߒߚ᳓࠻࡝࡯ࡕ࠺࡞ߦ

㪇ߟ޿ߡห᭽ߦ៊ᄬ㔚ᵹᵄᒻߩ⸃ᨆࠍⴕߞߚ㧚ߎߩࡕ࠺࡞ߢ
ߪ㐳ㄝ㧔L1㧕ߣ⍴ㄝ㧔L2㧕ߩᲧ߇ 1:0.5 ߢ޽ࠅ㧘᳓࠻࡝࡯㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐䋨㪟㫑
䋩

㪈㫂

㪏㫂
㪋㫂
㪭㫆㫃㫋㪸㪾㪼䋨㪭䋩㪈㫂(a) Water tree expanded to 20%ߩ㕙Ⓧߪ౞ᒻࡕ࠺࡞ߩ 1/2㧘ᮮ㐳ᬦ౞ᒻࡕ࠺࡞ߩ 1/3 ߣߥࠆ㧚▚಴ߐࠇߚ៊ᄬ㔚ᵹߩ৻଀ߣߒߡ㧘ߎࠇ߹ߢߣห᭽ߦ㧘᳓࠻࡝࡯߇ 20%િዷߒߚ႐วߦ㧘200Hz㧘1kV ߆ࠄ 10kV ߩ㪊㪌㔚࿶ࠍශടߒߡ▚಴ߒߚ៊ᄬ㔚ᵹᵄᒻࠍ࿑㧣ߦ␜ߔ㧚࿑ࠃ㪊㪇ࠅ៊ᄬ㔚ᵹߩ୯ߪශട㔚࿶ߦ߶߷Ყ଀ߒߡჇടߒߡ޿ࠆ㧚࡞ߣᲧセߒߡ㧘៊ᄬ㔚ᵹߩᄢ߈ߐߦߪ߶ߣࠎߤᄌൻ߇ߥ޿㧚㪩㪸㫋㫀㫆䋨䋦䋩߹ߚ㧘࿑㧟ߩ౞ᒻ᳓࠻࡝࡯ࡕ࠺࡞㧘࿑㧡ߩᮮ㐳ᬦ౞ᒻࡕ࠺㪉㪌㪉㪇㪈㪌㪈㪇ߎࠇ߆ࠄ㧘៊ᄬ㔚ᵹߩᄢ߈ߐߪߘߩ⊒↢ೋᦼᲑ㓏ߢߪ㧘᳓㪌࠻࡝࡯ߩ㕙Ⓧߩᓇ㗀ߪ߶ߣࠎߤฃߌߕ㧘િዷഀวߦࠃߞߡ㪇㪋㪇㪇 㪍㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐䋨㪟㫑 㪏㪇㪇䋩ߩߺ᳿ቯߐࠇࠆߣ⠨߃ࠄࠇࠆ㧚ᰴߦ౞ᒻ߅ࠃ߮ᮮ㐳ᬦ౞ᒻ᳓࠻࡝࡯ࡕ࠺࡞ߣห᭽ߦ៊ᄬ㪏㫂㪋㫂㪈㫂 㪭㫆㫃㫋㪸㪾㪼䋨㪭䋩㪌㪇 㪈㪇㪇㪉㪇㪇㪈㫂(b) Water tree expanded to 40%㔚ᵹᵄᒻߦ߅ߌࠆ╙ 3 㜞⺞ᵄߩၮᧄᵄߦኻߔࠆᲧ₸ࠍ㧘᳓࠻࡝࡯િዷഀวߏߣߦ࿑㧤ߦ␜ߔ㧚❑㐳ߩᬦ౞ᒻ᳓࠻࡝࡯
ࡕ࠺࡞ߦ߅ߌࠆ╙ 3 㜞⺞ᵄߩഀวߪ㧘వ⒟ߣห᭽ߦ 200Hz㧘㪊㪌

6kV ߩ᧦ઙࠍ଀ߦขࠆߣ㧘᳓࠻࡝࡯߇ 20%િዷߒߚ႐ว

㪊㪇

1.99㧘80%િዷߒߚ႐ว 13.17 ߣઁߩ౞ᒻ߿ᮮ㐳ᬦ౞ᒻ᳓࠻ߣߥߞߡ޿ࠆ㧚❑㐳ᬦ౞ᒻࡕ࠺࡞ߢߪ㧘᳓࠻࡝࡯ㇱߩ㕙Ⓧ㪉㪌㪩㪸㫋㫀㫆䋨䋦䋩

࡝࡯ࡕ࠺࡞ߩߘࠇࠃࠅᄢ߈ߊ㧘 40%㨪100㧑⒟ᐲᄢ߈ߥ୯

㪉㪇㪈㪌㪈㪇ߪઁߩࡕ࠺࡞ߦᲧߴߡዊߐ޿߇㧘᳓࠻࡝࡯ㇱߩ㔚࿶ಽᜂ߇㪌㜞޿㧔㔚⇇߇㓸ਛߔࠆ㧕ߚ߼ߦ㧘㔚࿶㧙㔚ᵹ․ᕈߩ㕖✢ᒻ㪇ᕈ߇ᒝߊ⴫ࠇߚ⚿ᨐߢ޽ࠆߣ⠨߃ࠄࠇࠆ㧚㪌㪇 㪈㪇㪇㪉㪇㪇 㪋㪇㪇㪍㪇㪇 㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐㩿㪟㫑㪀㪏㫂㪋㫂㪈㫂 㪭㫆㫃㫋㪸㪾㪼㩿㪭㪀㪈㫂ߎߩ⚿ᨐ߆ࠄ㧘㔚⇇ᣇะߦ㍈ߊિዷߒߚ᳓࠻࡝࡯ߢߪ៊
(c) Water tree expanded to 60%ᄬ㔚ᵹߩᱡ߇ᄢ߈ߊ㧘៊ᄬ㔚ᵹᵄᒻߩᱡ߆ࠄ᳓࠻࡝࡯ߩᬌ㪊㪅㪇㪜㪄㪇㪏㪈㫂㪭㪉㫂㪭㪋㫂㪭㪍㫂㪭㪏㫂㪭㪈㪇㫂㪭㪈㪅㪇㪜㪄㪇㪏㪇㪅㪇㪜㪂㪇㪇㪇㪅㪇㪇㪌㪇㪅㪇㪇㪍㪇㪅㪇㪇㪎㪇㪅㪇㪇㪏㪇㪅㪇㪇㪐㪄㪈㪅㪇㪜㪄㪇㪏㪊㪌㪊㪇㪉㪌㪇㪅㪇㪈㪩㪸㫋㫀㫆䋨䋦䋩㪣㫆㫊㫊 㪺㫌㫉㫉㪼㫅㫋䋨㪘䋩㪉㪅㪇㪜㪄㪇㪏㪉㪇㪈㪌㪈㪇㪌㪄㪉㪅㪇㪜㪄㪇㪏㪇㪄㪊㪅㪇㪜㪄㪇㪏㪫㫀㫄㪼䋨䌳䋩㪌㪇 㪈㪇㪇㪉㪇㪇㪋㪇㪇 㪍㪇㪇㪏㪇㪇㪝㫉㪼㫈㫌㪼㫅㪺㫐㩿㪟㫑㪀㪈㫂㪏㫂㪋㫂㪭㫆㫃㫋㪸㪾㪼㩿㪭㪀㪈㫂(d) Water tree expanded to 80%
࿑ 7 ៊ᄬ㔚ᵹᵄᒻާ200Hz㧘20㧑િዷި

࿑ 8 ╙ 3 㜞⺞ᵄߩᲧ₸Fig.7 Loss current waveform.

Fig.8 Ratio of third harmonics.

71 (31)❑㐳ᬦ౞ᒻࡕ࠺࡞ߩ㗅ߦᄢ߈ߊߥߞߡ߅ࠅ㧘ߎࠇߪ᳓࠻࡝಴ࠍⴕ߁㓙ߦߪᗵᐲ⦟ߊᬌ⍮ߢ߈ࠆߣ⠨߃ࠄࠇࠆ㧚ߎࠇࠄߩ⚿ᨐࠍ߹ߣ߼ࠆߣ㧘៊ᄬ㔚ᵹᵄᒻߦ߅ߌࠆ╙ 3࡯ߩ㕙Ⓧߩ㑐ଥߣหߓߊߥߞߡ޿ࠆ㧚㜞⺞ᵄߩഀวߣ᳓࠻࡝࡯ߩિ߮ߦߪ৻ቯߩ㑐ଥ߇޽ࠅ㧘᳓࠻࡝࡯߇ㅴዷߔࠆߦߟࠇߡ╙ 3 㜞⺞ᵄߩഀว߇Ⴧടߔࠆ੐䋴㪅 䉁䈫䉄߇ಽ߆ࠆ㧚ߒ߆ߒ㧘ߘߩᄌൻߪ᳓࠻࡝࡯ߩᒻ⁁ߦࠃࠅ⇣ߥᧄ⎇ⓥߢߪ㧘᳓࠻࡝࡯ߩሽ࿷ࠍߘߩ⊒↢ೋᦼߦ៊ᄬ㔚ᵹࠅ㧘㔚⇇ߦု⋥ߥᣇะߦᐢ߇ߞߚ᳓࠻࡝࡯ߪ㔚⇇ᣇะߦ㍈ߩᱡ߆ࠄᬌ಴ߔࠆน⢻ᕈߦߟ޿ߡᬌ⸛ߔࠆߚ߼㧘ᒻ⁁ߩ⇣ߊિዷߒߚ᳓࠻࡝࡯ࠃࠅ៊ᄬ㔚ᵹߩᱡ߇ዊߐߊ㧘᳓࠻࡝࡯ߥࠆ 3 ⒳㘃ߩ᳓࠻࡝࡯ࡕ࠺࡞ߦ߅޿ߡ╬ଔ࿁〝ࡕ࠺࡞ࠍ↪

ߩᬌ಴߇㔍ߒ޿੐߇ಽ߆ࠆ㧚޿ߚࠪࡒࡘ࡟࡯࡚ࠪࡦࠍⴕߞߚ㧚߹ߚ㧘᳓࠻࡝࡯ߩિ߮ߩ߹ߚ㧘੹࿁઒ቯߒߚ᳓࠻࡝࡯ࡕ࠺࡞ߢߪ㧘޿ߕࠇ߽ 200Hz㧘 ߺߥࠄߕ㧘ߘߩᒻ⁁ߦࠃࠅ៊ᄬ㔚ᵹᵄᒻߦ㆑޿߇⷗ࠄࠇࠆ
6kV ⒟ᐲߩ㔚࿶ࠍශടߒߡ៊ᄬ㔚ᵹࠍ᷹ቯߔࠆߎߣߢ㧘╙߆ࠍ⏕⹺ߒߚ㧚᳓࠻࡝࡯ߩિ߮߿ᒻ⁁ߪ⊒↢⿠ὐ߿㔚࿶ශ

3 㜞⺞ᵄߩᲧ₸߇ 1%ࠍ⿥߃㧘᳓࠻࡝࡯⊒↢ߩᲧセ⊛ೋᦼᲑട᧦ઙߢ᭽‫ߦޘ‬ᄌൻߔࠆߚ߼㧘ᧄ⎇ⓥߢᓧࠄࠇߚ⚿ᨐߪో㓏ߦ߅޿ߡ㧘᳓࠻࡝࡯ሽ࿷ߩ᦭ή߇ᬌ⍮ߢ߈ࠆߩߢߪߥ޿

ߡߩ᳓࠻࡝࡯ᒻ⁁ߦኻߒߡㆡ↪ߢ߈ࠆࠊߌߢߪߥߊ㧘ᒻ⁁߆ߣ⠨߃ࠄࠇࠆ㧚ࠍᮨᡆߒߚ৻ㇱߩ᳓࠻࡝࡯ᒻ⁁ߦኻߒߡ␜ߐࠇߚߎߣߢ޽䋳㪅䋴 ᳓䊃䊥䊷ᒻ⁁䈫៊ᄬ㔚ᵹᵄᒻࠆ㧚એਅߦᧄ⎇ⓥߢᓧࠄࠇߚᚑᨐࠍ߹ߣ߼ࠆ㧚ߎࠇ߹ߢߪ᳓࠻࡝࡯ᬌ಴ߩน⢻ᕈࠍតࠆߚ߼㧘᳓࠻࡝࡯(1)᳓࠻࡝࡯⊒↢ߩೋᦼᲑ㓏㧔િዷഀว 20㧑㧕ߢߪ㧘៊ᄬ㔚િዷഀว 20㧑ߩೋᦼᲑ㓏ߦߟ޿ߡਥߦ⼏⺰ߒߡ߈ߚ㧚ߎߩᵹᵄᒻࠍࡈ࡯࡝ࠛᄌ឵ߒߚ⚿ᨐ㧘㔚⇇ᣇะߦ⚦ߊિዷߒߚ߼࿑㧟㧘࿑ 5㧘࿑㧣ߩ៊ᄬ㔚ᵹᵄᒻߦߪ⋡ⷞߢߩᄢ߈ߥ

ߚ᳓࠻࡝࡯ߪᐢߊિዷߒߚ᳓࠻࡝࡯ߦᲧߴ╙ 3 㜞⺞ᵄߩᱡߪ⏕⹺ߢ߈ߥ޿㧚৻ᣇߢ╩⠪ࠄߪ᳓࠻࡝࡯ߩિዷഀว߇

ഀว߇ᄢ߈޿੐߇ಽ߆ߞߚ㧚หߓߢ߽㧘ᒻ⁁ߦࠃࠅ៊ᄬ㔚ᵹߩᱡߺ߇⇣ߥࠆߎߣࠍႎ๔

(2)઒ߦ╙ 3 㜞⺞ᵄߩၮᧄᵄߦኻߔࠆഀว߇ 1%⒟ᐲߣߥࠆ

ߒߚ 5)㧚ߎߩߚ߼㧘੹࿁઒ቯߒߚࡕ࠺࡞ߢ߽ߎߩ⃻⽎߇⃻᧦ઙࠍ᳞߼ࠆߣ㧘ᧄ⎇ⓥߢ↪޿ߚࡕ࠺࡞ߢߪ 200Hz㧘6kVࠇࠆ߆⏕⹺ߒߚ㧚ߎߎߢߪᲧセ⊛ᱡߩᄢ߈ߥ㧘᳓࠻࡝࡯િ⒟ᐲߩශട㔚࿶߇ᔅⷐߣᕁࠊࠇࠆ㧚ߒ߆ߒ㧘೨ㅀߩࠃ߁

ዷഀว߇ 80㧑㧘ශട㔚࿶ߩ 10kV㧘๟ᵄᢙ 1kHz ߩ႐วߦߟ

ߦ᳓࠻࡝࡯ߩᒻ⁁ߦࠃࠅ╙ 3 㜞⺞ᵄߩഀวߪ⇣ߥࠅ㧘㔚޿ߡ㧘౞ᒻ㧘ᮮ㐳࡮❑㐳ᬦ౞ᒻߩ᳓࠻࡝࡯ࡕ࠺࡞ߩ៊ᄬ㔚⇇ᣇะߦ⚦ߊિዷߒߚ᳓࠻࡝࡯ߢߪ㧘ᄙዋૐ޿㔚࿶ߢ߽ᵹࠍ࿑㧥ߦ␜ߔ㧚࿑ࠃࠅ㧘޿ߕࠇߩࡕ࠺࡞ߦ߅޿ߡ߽៊ᄬ

╙ 3 㜞⺞ᵄߩഀวߪ 1%ߦߥࠆ㧚ታ㓙ߩࠤ࡯ࡉ࡞ߦ߅޿㔚ᵹᵄᒻߪᱜᒏᵄߩࡇ࡯ࠢ߇ߟ߱ࠇ㧘ੑߟߩࡇ࡯ࠢ߇⷗ࠄߡߤߩࠃ߁ߥ᧦ઙ߇ᦨㆡ߆ߪᦝߦᬌ⸛ߔࠆᔅⷐ߇޽ࠆ㧚ࠇࠆࠃ߁ߦߥߞߡ޿ࠆ㧚ߒ߆ߒ㧘౞ᒻߩ᳓࠻࡝࡯ࡕ࠺࡞ߣ

(3)᳓࠻࡝࡯߇ 80%⒟ᐲㅴዷߔࠆߣ㧘៊ᄬ㔚ᵹᵄᒻߪ㧘િዷᮮ㐳ᬦ౞ᒻࡕ࠺࡞ࠍᲧセߔࠆߣ㧘ᮮ㐳ᬦ౞ᒻࡕ࠺࡞ߩᣇ߇ഀว߇หߓߢ߽᳓࠻࡝࡯߇⊒↢ߒߡ޿ࠆ㕙Ⓧ㧔૕Ⓧ㧕߇ᓟࠈߩࡇ࡯ࠢ߇⓭಴ߒߡ޿ࠆ㧚৻ᣇ㧘౞ᒻࡕ࠺࡞ߣ❑㐳ᬦჇടߔࠆ߶ߤჇ߃ࠆ㧚߹ߚ㧘᳓࠻࡝࡯ߩᒻ⁁߇⇣ߥࠆߣ౞ᒻࡕ࠺࡞ߩᲧセߢߪ㧘❑㐳ᬦ౞ᒻࡕ࠺࡞ߩ៊ᄬ㔚ᵹߪ೨ᵄᒻߩᒻ⁁ߪᄢ߈ߊ⇣ߥࠆ㧚ߩࡇ࡯ࠢ߇ࠃࠅ⓭಴ߒߡ޿ࠆ੐߇ಽ߆ࠆ㧚ߎߩࠃ߁ߦ㧘੹ෳ⠨ᢥ₂࿁ߩࠪࡒࡘ࡟࡯࡚ࠪࡦ߆ࠄ߽᳓࠻࡝࡯ߩિዷഀว߇หߓߢ1)Ꮉ੗ੑ㇢㧘ຠᎹẢ৻㧘ਛ᧛ୃᐔ㧘Ỉ੖㇢㧦㔚ቇ⺰ A,119߽㧘ߘߩᒻ⁁߇⇣ߥࠆߣ៊ᄬ㔚ᵹᵄᒻߪ⇣ߥࠆ੐߇⏕⹺ߐࠇߚ㧚߹ߚ㧘㔚ᵹ୯ߪ㧘ᮮ㐳ᬦ౞ᒻࡕ࠺࡞㧪౞ᒻࡕ࠺࡞㧪3)Ꮉ੗ੑ㇢㧦㕒㔚᳇ቇળ⹹,24(2000)245

㪈㪅㪌㪜㪂㪇㪇㪺㫀㫉㪺㫃㪼㪼㫃㫃㫀㫇㫊㪼㩿㫎㫀㪻㪼㪀㪼㫃㫃㫀㫇㫊㪼㩿㫅㪸㫉㫉㫆㫎㪀

Loss current(µA)

㪈㪅㪇㪜㪂㪇㪇4)ਛ᧛ୃᐔ㧘દ᧲ೣᐘ㧘Ꮉ੗ੑ㇢㧘ຠᎹẢ৻㧘ᶏ⠧ᴧᐽశ㧦㔚ቇ⺰ A,120 (2000),1114㪌㪅㪇㪜㪄㪇㪈5)㋈ᧁ㓷ผ㧘દ⮮ᷕ㧘ศ᧛᣹㧦㔚ቇ⺰ A,125(2005)367
㪈㪅㪉㪈㪅㪋㪈㪅㪍㪈㪅㪏㪉㪅㪇6)ౝ↰సᏆ㧘ጟᧄ㆐Ꮧ㧦㔚ቇ⺰ A,124(2004)9357)ᾢỈቁᄦ, ၳ↰᣽ᒄ㧘᧖ጊ⌀৻㧘ᯅ⹣ବᚑ㧘⼱ᕡᄦ㧦㪄㪈㪅㪇㪜㪂㪇㪇㔚ቇ⺰ B,117(1997)1538

㪄㪈㪅㪌㪜㪂㪇㪇㪄㪉㪅㪇㪜㪂㪇㪇2)Ꮉ੗ੑ㇢㧘⩆ፉߺࠁ߈㧘᧘ ⧷㧘ຠᎹẢ৻㧘ᶏ⠧ᴧᐽశ㧘ਛ᧛ୃᐔ㧘Ỉ੖㇢㧦㔚ቇ⺰ A,120 (2000),92㪉㪅㪇㪜㪂㪇㪇

㪇㪅㪇㪜㪂㪇㪇㪈㪅㪇㪄㪌㪅㪇㪜㪄㪇㪈

(1999),92Time(ms)࿑㧥 ฦࡕ࠺࡞ߩ៊ᄬ㔚ᵹᵄᒻ
Fig.9 Loss current waveform of each model.

8)ᧄ੗⷗ੑ㧘ᒄᵤ⎇৻㧘⚦ᳯൎᐢ㧘ᓼਣ੉㢬㧘᧻↢ືᴦ㧦㔚᳇ቇળ⺃㔚࡮⛘✼᧚ᢱ⎇ⓥળ⾗ᢱ㧘DEI-95-37(1995)