ᚑくᄢቇℂᎿቇ⎇ⓥႎ๔
J. Fac. Sci. Tech., Seikei Univ.
Vol.46 No.1 (2009) pp.13-18

ࡃ࡞ࠢ㜞᷷⿥㔚ዉ૕ߩ᝝ᝒ⏛᧤ࠍ↪޿ߚᒝ⏛ᕈ૕ߩ⏛᳇ᶋ਄ታ㛎ᮘญ ᶭ㚍 㧘⍹ㇹጟ ⁴ 㧘ੑࡁች ᤩ 

Magnetic Levitation Experiment of Ferromagnetic Block using
Trapped Field in Bulk High Temperature Superconductors
Ryoma HIGUCHI㧖1, Takeshi ISHIGOHKA㧖2, Akira NINOMIYA㧖3,ABSTRACT㧦 By trapped field in bulk high temperature superconductor (HTS), restoring force acts
between iron and bulk superconductor so as to keep the position between them constant. If we could㩷
utilize this force, it would be possible to realize a low cost magnetic levitation transport system without
using high cost rare earth permanent magnets. In order to confirm this idea, the authors carried out anexperiment to levitate an iron block in the space between two bulk superconductors as the first step. The
experimental result confirmed this levitation principle. In this paper, an experimental result of levitation
experiment is presented.
Keywords㧦magnetic levitation, high temperature superconductor, iron block, pinning effect㧔Received March 2, 2009㧕ࠆ㧔࿑ 1㧕‫ߢࡓ࠹ࠬࠪߩߎޕ‬චಽߥᶋ਄ജߣ቟ቯᕈ߇ᓧࠄࠇ㧝㧚ߪߓ߼ߦࠇ߫㧘᳗ਭ⏛⍹ࠍ቟ଔߥ㋕ߦ⟎߈឵߃ࠆߎߣ߇ߢ߈㧘ࠃࠅ 㜞᷷⿥㔚ዉ(High Temperature Superconductor㧦 HTS)ࡃ࡞

ૐࠦࠬ࠻ߩ⏛᳇ᶋ਄ࠪࠬ࠹ࡓࠍ᭴ᚑߔࠆߎߣ߇಴᧪ࠆ‫ޕ‬ࠢ૕ࠍ↪޿ߚᔕ↪ߩ߭ߣߟߦᶋ਄ᔕ↪߇޽ࠆ‫ߪࠇߎޕ‬㧘⿥ᧄⓂߢߪࡃ࡞ࠢ૕ߣᒝ⏛ᕈ૕ߣߩ㑆ߦ௛ߊᓳరജߩේ㔚ዉ૕ߣ᳗ਭ⏛⍹ߩ⚵ߺวࠊߖߦࠃࠅ቟ቯߥᶋ਄ࠍታ⃻ℂࠍታ㛎⊛ߦ⺞ߴࠆߚ߼㧘ᶋ਄૕ߦ⋥ᓘ 10-20mm,㜞ߐߐߖࠆߣ޿߁߽ߩߢ޽ࠅ㧘㕖ធ⸅߆ߟ⢻േ೙ᓮߥߒߦ቟ቯ

10-20mm ߩエ㋕⵾ߩ㋕౞ᩇࠍ૶↪ߒ㧘㋕౞ᩇߩᶋ਄ታ㛎ᶋ਄ߐߖࠄࠇࠆߎߣ߆ࠄ㧘㔚ജ⾂⬿ࡈ࡜ࠗࡎࠗ࡯࡞ߩゲฃߣࡃ࡞ࠢ૕㑆ߦᶋ਄ߒߡ޿ࠆ㋕౞ᩇߦ௛ߊ㔚⏛ജ߅ࠃ߮ߌ߿㧘ャㅍⵝ⟎╬߳ߩᔕ↪߇ᬌ⸛ߐࠇߡ޿ࠆ‫ߒ߆ߒޕ‬㧘⿥㋕౞ᩇ๟ㄝߩ⏛᧤ኒᐲߩ᷹ቯታ㛎ࠍⴕߞߚߩߢߘߩታ㛎㔚ዉ૕ߣ᳗ਭ⏛⍹ࠍ↪޿ߚᶋ਄ࠪࠬ࠹ࡓࠍャㅍⵝ⟎╬ߦ⚿ᨐߦߟ޿ߡႎ๔ߔࠆ‫ޕ‬ᔕ↪ߔࠆ႐ว㧘゠㆏ㇱߦᏗ࿯㘃♽ߩ᳗ਭ⏛⍹ࠍ↪޿ࠆߣ㜞ଔߥࠪࠬ࠹ࡓߦߥߞߡߒ߹޿㧘ታ↪ൻߪ࿎㔍ߢ޽ࠆ‫ޕ‬ ߎࠇߦኻߒ㧘᧲੩ᄢቇ߿਄ᥓᄢቇߩࠣ࡞࡯ࡊߦࠃࠅ⏛᳇൨㈩ᶋ਄[1]-[3]߿ Mixed-Ǵ[4],[5] ╬ߩᶋ਄ࠪࠬ࠹ࡓ߇ᣢߦឭ᩺ߐࠇߡ޿ࠆ߇㧘ߎࠇࠄߩ⎇ⓥࠍෳ⠨ߦߒߡ⪺⠪╬ߪ㧘㜞᷷⿥㔚ዉࡃ࡞ࠢ૕ߣᒝ⏛ᕈ૕(㋕)ߣߩ㑆ߦ௛ߊᓳరജࠍ೑↪ߒߚᶋ਄ࠪࠬ࠹ࡓߩ⎇ⓥࠍㅴ߼ߡ߈ߚ[6]-[9]‫ࠇߎޕ‬߹ߢߩߣߎࠈ㧘ࡃ࡞ࠢ૕ߣ㋕ࠍ↪޿ߚᶋ਄ࠪࠬ࠹ࡓߦ߅޿ߡ㧘㧞ߟߩ⌕⏛ߒߚࡃ࡞ࠢ૕ߩ㑆ߦࡃ࡞ࠢ૕ࠨࠗ࠭ࠃࠅᲧセ⊛ዊߐ޿㋕ࡉࡠ࠶ࠢࠍⓨਛᶋ਄ߐߖࠆߎߣߦᚑഞߒߡ޿
*1㧦Ꮏቇ⎇ⓥ⑼㔚᳇㔚ሶᎿቇኾ᡹ୃ჻ቇ↢*2࿑㧝 㧞ߟߩࡃ࡞ࠢ૕㑆ߦᶋ਄ߔࠆǾ*OO ㋕౞ᩇ㧦ࠛ࡟ࠢ࠻ࡠࡔࠞ࠾ࠢࠬቇ⑼ᢎ᝼(ishigoka@st.seikei.ac.jp)*3㧦ࠛ࡟ࠢ࠻ࡠࡔࠞ࠾ࠢࠬቇ⑼ഥᢎ㧙㧙*65 ࡃ࡞ࠢ૕ߣᒝ⏛ᕈ૕ߣߩ㑆ߦ௛ߊᓳరജ㧞㧚ේ ℂHTS ࡃ࡞ࠢ૕ߣᒝ⏛ᕈ૕ߩ㑆ߦ௛ߊᓳరജߩ⊒⃻ේᒝ⏛ᕈ૕ߦ௛ߊ⏛᳇ജ

ℂߦߟ޿ߡߪ[2],[3]ߩᢥ₂ߥߤߢㅀߴࠄࠇߡ޿ࠆߩߢ㧘࿑ 2 ߪ㋕ࡉࡠ࠶ࠢߦ Z ゲ⽶ߩะ߈ߦ⏛᳇ജ߇ടࠊߞߡ

ߎࠇࠄߩᢥ₂ࠍ߽ߣߦ⺑᣿ߔࠆ‫ޕ‬޿ࠆߣ߈ߩ⏛᧤✢ߩ᭎ᔨ࿑ߢ޽ࠆ‫ߪ✢᧤⏛ޕ‬ᒝ⏛ᕈ૕⴫

࿑ 4 ߦ␜ߔࠃ߁ߦ㧘⌕⏛ߒߚ⿥㔚ዉ૕ߪౝㇱߩ⏛᧤߇㕙ߦኻߒߡု⋥ߦߥࠆࠃ߁ߦଚ౉ߒ㧘⏛᧤߇ଚ౉ߒߚᒝࡇࡦᱛ߼ߦࠃࠅᒝߊ࿕ቯߐࠇߡ޿ࠆߩߢ㧘ᒝ⏛ᕈ૕ࠍ㆙⏛ᕈ૕⴫㕙ߦߪ⏛᧤✢ߣᐔⴕߥᣇะߦᒁߞᒛࠅᔕജ߇௛ߊ߆ࠄࡃ࡞ࠢ૕ߦㄭߠߌߡ޿ߊߣ㧘޽ࠆ૏⟎߆ࠄᒝ⏛ᕈߊ‫ޕ‬࿑ 2 ߢߪ㋕ࡉࡠ࠶ࠢߩᏀ㕙ߦଚ౉ߔࠆ⏛᧤ߩ✚㊂ߩ

૕ߩ YZ 㕙ߦଚ౉ߔࠆ⏛᧤߇ᷫዋߒ㧘ߘࠇߦߣ߽ߥߞߡᣇ߇ฝ㕙ࠃࠅ߽ᄙ޿ߩߢ㧘㋕ࡉࡠ࠶ࠢో૕ߣߒߡߪᏀะᒝ⏛ᕈ૕ߣࡃ࡞ࠢ૕ߣߩ㑆ߦ௛ߊജ㧔ๆᒁജ㧕߽ᷫዋߔ߈(Z ゲ⽶ߩะ߈)ߩജࠍฃߌࠆߎߣߦߥࠆ‫ޕ‬ࠆ‫ࠢ࡞ࡃߪߢ߹߹ߩߎޕ‬૕ߣᒝ⏛ᕈ૕ߩ㑆ߦߪๆᒁജߒ߆௛߆ߥ޿߇㧘࿑ 1 ߦ␜ߔࠃ߁ߦ㧘⌕⏛㊂߇߶߷╬ߒ޿ࡇࡦ࠾ࡦࠣലᨐߣ⿥㔚ዉࡃ࡞ࠢ૕ߩ᳗ਭ⏛⍹ൻ

2 ߟߩࡃ࡞ࠢ૕ࠍ৻ቯߩ㑆㓒ߢኻะߐߖࠆߎߣߦࠃࠅ㧘㜞᷷⿥㔚ዉࡃ࡞ࠢ૕ౝㇱߦߪࡇࡦ࠾ࡦࠣ࠮ࡦ࠲࡯ߣ๭ᒝ⏛ᕈ૕ࠍࡃ࡞ࠢ૕㑆ߩਛᄩઃㄭߦ଻ᜬߒࠃ߁ߣߔࠆᓳ߫ࠇࠆᓸ⚦ߥᏱ㔚ዉ⋧߇ಽᢔߒߡ߅ࠅ㧘ᄖㇱ⏛⇇ࠍട߃రജ߇௛߈ᒝ⏛ᕈ૕ࠍⓨਛߦᶋ਄ߐߖࠆߎߣ߇ߢ߈ࠆ‫ޕ‬ߡ޿ࠆ⁁ᘒߢ⿥㔚ዉ૕ࠍ಄ළߒ㧔ࡈࠖ࡯࡞࠼ࠢ࡯࡞㧕⿥߹ߚ㧘࿑ 4 ߩ਄ਅᣇะ(Y ᣇะ)ߦߟ޿ߡߪ㧘⏛᧤Ḯౝ㔚ዉ⁁ᘒߣߔࠆߣࡇࡦ࠾ࡦࠣ࠮ࡦ࠲࡯๟࿐ࠍᵹࠇࠆ⿥㔚ㇱߩ⏛᧤߇࿕ቯߐࠇߡ޿ߥߊߡ߽ਛᄩઃㄭߦᚯߘ߁ߣߔዉ㔚ᵹߦࠃࠅ㧘ᄖㇱ⏛⇇ࠍขࠅ㒰޿ߡ߽ౝㇱߦ౉ࠅㄟࠎࠆജ߇௛ߊߩߢ㧘ㅢᏱߩ᳗ਭ⏛⍹ߢ߽቟ቯߔࠆ‫ߚߩߎޕ‬ߛ⏛᧤ࠍߣߤ߼ࠆߎߣ߇಴᧪ࠆ㧔⌕⏛㧕‫ࡦࡇࠍࠇߎޕ‬ᱛ߼߼㧘ᧄⓂߢߪ Z ゲᣇะߩ቟ቯᕈߦߟ޿ߡㅀߴࠆ‫ޕ‬ലᨐߣ๭߮㧘ߎߩലᨐߦࠃࠅ⿥㔚ዉ૕ࠍ᳗ਭ⏛⍹ൻߔࠆ㧟㧚ታ㛎ᣇᴺߎߣ߇಴᧪ࠆ‫ޕ‬᳗ਭ⏛⍹ൻߐࠇߚ⿥㔚ዉ૕ౝㇱߩ⏛᧤ߪࡇࡦᱛ߼ߦࠃࠅᒝߊ࿕ቯߐࠇߡ߅ࠅ㧘৻⥸ߩ᳗ਭ⏛⍹㧔ࡈ *65 ࡃ࡞ࠢ૕ߩ⌕⏛ᣇᴺࠚ࡜ࠗ࠻⏛⍹߿ࡀࠝࠫ࠙ࡓ⏛⍹╬㧕ߪౝㇱߩ⏛᧤߇࿕ቯ࿑ 5 ߦታ㛎ߢ૶↪ߒߚ HTS ࡃ࡞ࠢ૕ࠍ㧘࿑ 6 ߦ⌕⏛ᣇߐࠇߡ޿ߥ޿ߣ޿߁㆑޿߇޽ࠆ‫ޕ‬ᴺߩ᭎ᔨ࿑ࠍ␜ߔ‫ޕ‬ታ㛎ߦ૶↪ߒߚࡃ࡞ࠢ૕ߪᣂᣣ㐅⵾ߩ Gd-QMG bulk ߢኸᴺߪ⋥ᓘ 66mm㧘㜞ߐ 20mm(Ǿ66H20)ߢ޽ࠆ‫ޕ‬ᐳᮡߪ࠺ࠞ࡞࠻ᐳᮡ♽ࠍ૶↪ߒ㧘ࡃ࡞ࠢ
૕ߩ C ゲࠍ࿑ 5 ߩ Z ゲߣ৻⥌ߐߖ㧘ab 㕙ࠍ XY 㕙ߣߒߚ‫ޕ‬ࡃ࡞ࠢ૕ߩ⌕⏛ߦߪ࿑ 6 ߦ␜ߔ C ᒻߩࠦࠕࠍᜬߟࡢࠗࠬ

ဳ㔚⏛⍹(WEM)ࠍ૶↪ߒߚ‫ޕ‬࿑ ᒝ⏛ᕈ૕ߦ௛ߊ⏛᳇ജ⌕⏛ᣇᴺࠍએਅߦ␜ߔ‫ޕ‬1) 2 ߟߩࡃ࡞ࠢ૕ࠍ಄ළኈེ㑆ߩࠢ࡝ࠕ࡜ࡦࠬ߇

20mm ߦߥࠆࠃ߁ߦኻะߐߖߡ㔚⏛⍹ߩ⏛ᭂ㑆ߦ࠮࠶࠻‫ޕ‬2) 㔚⏛⍹ߦ 5A ߩ㔚ᵹࠍᵹߒ⏛ᭂ㑆ߦ৻ቯߩ⏛⇇ࠍട߃ߚ⁁ᘒߦ଻ߜ㧘ᶧ૕⓸⚛ߦࠃࠅ಄ළ(ࡈࠖ࡯࡞࠼ࠢ࡯࡞)ߔࠆ‫ޕ‬3) ⌕⏛ᓟࡃ࡞ࠢ૕ࠍ಄ළኈེߏߣ⏛ᭂ㑆߆ࠄขࠅ಴࿑ ⿥㔚ዉ૕ߩ᳗ਭ⏛⍹ൻߒߘࠇߙࠇߩታ㛎ࠍⴕ߁‫ޕ‬ߥ߅㧘ߎߩ㔚⏛⍹ߩ⏛ᭂߪ⋥ᓘ 80mm ߩ౞ᩇ⁁ߢ޽ࠅ㧘⏛ᭂ㑆ߩࠡࡖ࠶ࡊ߇ 68.5mm ߩߣ߈㧘⏛ᭂ㑆ਛᄩઃㄭߢ࿑ ᓳరജߩ⊒⃻ේℂ

⚂ 35[mT/A] ߩ Z ゲᣇะ⏛⇇߇ടࠊࠆࠃ߁ߦߥߞߡ޿ࠆ‫ޕ‬㧙㧙ࠫࠍ૶↪ߒߚ‫ޕ‬㔚⏛ജߪ㋕౞ᩇࠍᧁ⵾ߩࠬ࠹ࠖ࠶ࠢߦၒ
߼ㄟߺ㧘ߎߩᧁ⵾ࠬ࠹ࠖ࠶ࠢࠍࡠ࡯࠼࠮࡞ߦ࿕ቯߒߡ᷹
ቯߒߚ(࿑ 8)‫᧤⏛ޕ‬ኒᐲߩ᷹ቯߦߪ᧲⦼⵾ߩࡎ࡯࡞࠮ࡦࠨ

THS119 ࠍ㧞ߟ૶↪ߒ㧘㋕౞ᩇᏀฝ㕙ߦု⋥ߦ౉ߞߡߊ
ࠆ⏛᧤(ゲᣇะ⏛⇇)ࠍ᷹ቯߒߚ(࿑ 9)‫ߪࠨࡦ࠮࡞࡯ࡎޕ‬㋕౞ᩇ XY 㕙ߦㄭធߐߖߡ(〒㔌 0.5mm ⒟ᐲ)Ꮐฝ㕙ߦ㈩⟎ߒ㧘ᓘᣇะ(X ᣇะ)ߦᴪߞߡ⒖േߐߖゲᣇะ⏛⇇ࠍ᷹ቯߔࠆߎߣߦࠃࠅ XY 㕙ߦ౉ߞߡߊࠆ⏛᧤ࠍ⺞ߴߚ‫ޕ‬࿑  ታ㛎ߦ૶↪ߒߚࡃ࡞ࠢ૕ߣᐳᮡߩቯ⟵࿑ ㋕౞ᩇߦ௛ߊ㔚⏛ജߩ᷹ቯⵝ⟎㠽⍑࿑࿑ *65 ࡃ࡞ࠢ૕ߩ⌕⏛ᣇᴺߩ᭎ᔨ࿑࿑ ⏛᧤ኒᐲߩ᷹ቯ㠽⍑࿑࿑ 㔚⏛ജ߅ࠃ߮⏛᧤ኒᐲߩ᷹ቯ᭎ᔨ࿑㧠㧚ታ㛎⚿ᨐ㔚⏛ജ߅ࠃ߮⏛᧤ኒᐲߩ᷹ቯᣇᴺ
࿑ 7 ߦ㔚⏛ജ߅ࠃ߮⏛᧤ኒᐲ᷹ቯߩ᭎ᔨ࿑ࠍ␜ߔ‫ޕ‬࿑㋕౞ᩇߩᶋ਄ታ㛎 ࿑ 10 ߦ㋕౞ᩇߩ㜞ߐࠍ৻ቯߦߒߡ Gap ߣ㋕౞ᩇߩᓘ

7 ਛߩ Gap ߪࡃ࡞ࠢ૕಄ළኈེ㑆ߩ〒㔌ߢ㧘g ߪ㋕౞ᩇࠍᄌ߃ߡࡃ࡞ࠢ૕㑆ߦᶋ਄ߐߖߚߣ߈(g ߪ 5mm ߦ࿕ቯ)߇ࡃ࡞ࠢ૕㑆ߩਛᄩߦᶋ਄ߒߡ޿ࠆߣ߈ߩ㋕౞ᩇ⴫㕙ߣߩታ㛎⚿ᨐࠍ␜ߔ(Ꮐ߆ࠄ㗅ߦǾ10,15,20mm ߩ㋕౞ᩇ)‫ޕ‬಄ළኈེ㑆ߩ〒㔌ߢ޽ࠆ‫ޕ‬㋕౞ᩇࠍࡃ࡞ࠢ૕㑆ߩਛᄩ߆࿑ 10(a)ࠃࠅ㧘Ǿ10,15H15mm ߩ㋕౞ᩇߢߪ㋕౞ᩇゲ

ࠄ Z ゲᣇะߦᄌ૏ߐߖߚߣ߈ߩ㋕౞ᩇߦ௛ߊ㔚⏛ജࠍࡠᣇะߣࡃ࡞ࠢ૕ߩゲᣇะ߇ᐔⴕߩ⁁ᘒߢᶋ਄ߒߡ޿ࠆ

࡯࠼࠮࡞ߢ᷹ቯߒߚ‫ߚ߹ޕ‬㧘㋕౞ᩇᏀฝ㕙ߦု⋥ߦ౉ߞ߇㧘Ǿ20H15mm ㋕౞ᩇߢߪ㋕౞ᩇゲᣇะߣࡃ࡞ࠢ૕

ߡߊࠆ⏛᧤ࠍࡎ࡯࡞࠮ࡦࠨ(h1 ߅ࠃ߮ h2)ߢ᷹ቯߒߚ‫ޕ‬㋕ߩゲᣇะ߇ု⋥ߩ⁁ᘒߢᶋ਄ߒߡ޿ࠆߎߣ߇ಽ߆ࠆ‫ޕ‬Ǿ20౞ᩇ߅ࠃ߮ࡎ࡯࡞࠮ࡦࠨߩ૏⟎೙ᓮߦߪਃゲ⒖േࠬ࠹࡯H15mm ㋕౞ᩇߢߪ㧘⋥ᓘ߇㜞ߐࠃࠅᄢ߈ߊߥߞߡ߅

㧙㧙ࠅߎߩࠃ߁ߦᶋ਄ߒߚᣇ߇ࡃ࡞ࠢ૕㑆ߩ⏛᳇ᛶ᛫߇ዊߐ

ߢ㧘Gap:25mmߢߩ㔚⏛ജߪᓳరജ․ᕈࠍ␜ߐߥߊߥࠆ‫ޕ‬ߊߥࠆ‫ࠄ߆ߣߎߩߎޕ‬㧘ࡃ࡞ࠢ૕㑆ߢᶋ਄ߔࠆ㋕ߪࡃ࡞࿑ 12 ߪ㧘㜞ߐ߇หߓߢ⋥ᓘߩ⇣ߥࠆ㋕౞ᩇࠍࡃ࡞ࠢ૕

ࠢ૕㑆ߩ⏛᳇ᛶ᛫߇ᦨዊߦߥࠆࠃ߁ߥᆫ൓ࠍߣࠆߣ޿߁

㑆ߦᶋ਄ߐߖߚߣ߈ߩ㔚⏛ജߩ᷹ቯ⚿ᨐߢ޽ࠆ‫ޕ‬㋕౞ᩇߎߣ߇⸒߃ࠆ‫ޕ‬࿑ 10(b)ࠃࠅ㧘㋕౞ᩇ㜞ߐ߇ 20mm ߩ႐วࠨࠗ࠭ߪǾ10,15H20mm ߢ Gap ߪ 30, 34mm ߢታ㛎ࠍⴕߞߚ‫ޕ‬࿑ 12 ࠃࠅ㧘௛ߊ㔚⏛ജߪǾ15mm ߩ㋕౞ᩇߩᣇ߇ߪ㧘㋕౞ᩇᓘ߇ᄢ߈ߊߥࠆߦߟࠇߡ㋕౞ᩇ߇Ꮐ஥ߦነߞ
ߡ޿߈Ǿ20mm ߩߣ߈಄ළኈེߦធ⸅ߒߡ޿ࠆߎߣ߇ಽ߆

⧯ᐓᄢ߈޿߇㧘㔚⏛ജߩᐔⴧὐ(㔚⏛ജ߇ 0 ߦߥࠆࡐࠗࡦࠆ‫ࠄ߆ߣߎߩߎޕ‬㧘㋕ࡉࡠ࠶ࠢࠨࠗ࠭߇ᄢ߈ߊߥࠆߣࡃ࡞࠻)ߪǾ10mm ߩ㋕౞ᩇߩᣇ߇ࡃ࡞ࠢ૕㑆ߩਛᄩࠃࠅߦࠢ૕ゲᣇะߩ቟ቯᕈ߇ᖡߊߥࠆߣ޿߁ߎߣ߇⸒߃ࠆ‫ޕ‬ߥߞߡ޿ࠆߣ޿߁ߎߣ߇ಽ߆ࠆ‫ߚ߹ޕ‬㧘Gap ߇ 30mm ߩߣ߈ߪ㋕౞ᩇࠍ㔚⏛ജߩᐔⴧὐߦ⇐߼ࠃ߁ߣߔࠆᓳరജ
․ᕈ߇⴫ࠇߡ޿ࠆ߇㧘Gap ࠍ 34mm ߦߔࠆߣߎߩ․ᕈ߇
ߥߊߥࠆ‫ߩࠄࠇߎޕ‬ታ㛎⚿ᨐ߆ࠄ㧘㋕౞ᩇࠨࠗ࠭ࠍᄢ߈
ߊߔࠆߎߣߦࠃߞߡゲᣇะᓳరജ߇ᄢ߈ߊߥߞߚࠅ㧘቟ቯᕈ߇ะ਄ߔࠆߣ޿߁ലᨐߪ޽߹ࠅߥ޿ߣ޿߁ߎߣ߇㔚(a) Gap:25mm, iron cylinder size:Ǿ10,15,20H15mm⏛ജߩ᷹ቯ⚿ᨐ߆ࠄ߽ಽ߆ࠆ‫ޕ‬(b) Gap:30mm, iron cylinder size:Ǿ10,15,20H20mm
࿑  ㋕౞ᩇߩ㜞ߐߦࠃࠆᶋ਄⁁ᘒߩᄌൻ㔚⏛ജߩ᷹ቯ⚿ᨐ
࿑11ߦǾ10H10mmߩ㋕౞ᩇߦ௛ߊ㔚⏛ജࠍ㔚⏛⍹ߩ⏛ᭂ㑆޽ࠆ޿ߪ⌕⏛ߒߚࡃ࡞ࠢ૕㑆ߢ᷹ቯߒߚ⚿ᨐࠍ࿑  Ǿ*OO ߩ㋕౞ᩇߦ௛ߊ㔚⏛ജߩᲧセ␜ߔ‫ޕ‬ᮮゲߪ㋕౞ᩇߩZゲᣇะߩᄌ૏૏⟎ߢ޽ࠅ㧘ᄌ૏0ߪ㋕౞ᩇ߇ࡃ࡞ࠢ૕㑆ߩਛᄩߦ૏⟎ߒߡ޿ࠆߣ޿߁ߎߣࠍ␜ߒߡ޿ࠆ‫❑ޕ‬ゲߪ㋕౞ᩇߦ௛ߊ㔚⏛ജߢ޽ࠅ㧘Zゲߩᱜߩะ߈ࠍ㧘㔚⏛ജߩᱜߣቯ߼ߡ޿ࠆ‫ߚ߹ޕ‬㧘ࡄ࡜ࡔ
࡯࠲ਛߩWEMߣߪㅢᏱߩ㔚⏛⍹ߩ⏛ᭂ㑆ߢ᷹ቯߒߚ㔚⏛ജࠍ␜ߒߡ޿ࠆ‫ޕ‬࿑11ߢ㋕౞ᩇࠍⓨਛߦᶋ਄ߐߖࠆࠃ
߁ߥ㔚⏛ജ(ᓳరജ)߇௛ߊߩߪ㧘ࡃ࡞ࠢ૕㑆(Gap)ࠍ
20mmߦߒߚߣ߈ߢ޽ࠆ‫ߩߎޕ‬㔚⏛ജߪࡃ࡞ࠢ૕⴫㕙ߦㄭߠߊߦߟࠇߡജߩ௑߈߇Ⴧടߒߡ޿ߊ‫ࠢ࡞ࡃޕ‬૕㑆ࠍ
25mmߦߔࠆߣ㋕౞ᩇߩᄌ૏ᣇะߣหᣇะߦ㔚⏛ജ߇ടࠊߞߡ޿ࠆߩߢ㧘ⓨਛߦߪᶋ਄ߖߕߤߜࠄ߆ߩࡃ࡞ࠢ૕
಄ළኈེߦߊߞߟ޿ߡߒ߹߁‫ߒߛߚޕ‬㧘㔚⏛⍹ߩ႐วߪ࿑ ㋕౞ᩇߩ⋥ᓘߦࠃࠆ㔚⏛ജߩᲧセᄌ૏ᣇะߩ㔚⏛ജ߇න⺞ߦჇടߒߡ޿ߊߩߦኻߒߡ㧘ࡃ࡞ࠢ૕㑆ߢታ㛎ࠍⴕߞߚ႐วߦߪ㋕౞ᩇ߇ࡃ࡞ࠢ૕ߦㄭ
ߠߊߦᓥߞߡ㧘ᄌ૏ᣇะߩ㔚⏛ജ߇ᷫዋߒߡ޿ߊߣ޿߁

⏛᧤ኒᐲߩ᷹ቯ⚿ᨐ㆑޿߇޽ࠆ‫ߪࠇߎޕ‬㧘ࡃ࡞ࠢ૕㑆ߩࠡࡖ࠶ࡊࠍᐢߍߚ႐

⏛᧤ኒᐲߩ᷹ቯߦߪǾ15H20mm ߩ㋕౞ᩇࠍ૶↪ߒ

วߢ߽2.3ߢ␜ߒߚࡃ࡞ࠢ૕⴫㕙ߦㄭߠ޿ߚᣇߩ㋕౞ᩇ⴫ߚ‫ࠢ࡞ࡃޕ‬૕㑆ߩ Gap ࠍ 30mm ߦߒߡᓳరജ․ᕈࠍ߽ߚ㕙ߦᶐ౉ߔࠆ⏛᧤߇ዋߥߊߥߞߡ޿ߊ⃻⽎߇⃻ࠇߡ޿ࠆߎߣࠍ␜ߒߡ޿ࠆ‫ߒ߆ߒޕ‬㧘Gap:20mmߩᤨߣ㆑޿㧘㋕౞ᩇ⴫㕙߆ࠄ㆙޿ᣇߩࡃ࡞ࠢ૕߆ࠄߩᓇ㗀߇ዊߐߊߥࠆߩߖ㧘㋕౞ᩇᏀฝ㕙ߦ౉ߞߡߊࠆ⏛᧤ࠍ 2 ߟߩࡎ࡯࡞࠮ࡦࠨ h1(࿑ 7 Ꮐ㕙ߦ㈩⟎), h2(࿑ 7 ฝ㕙ߦ㈩⟎)ߢ᷹ቯߒߚ‫ޕ‬
࿑ 13 ߪ⏛᧤ኒᐲಽᏓࠍ␜ߔ߽ߩߢ㧘ᮮゲߪࡎ࡯࡞࠮ࡦࠨ㧙㧙࿑ 15 ߦᮮゲࠍ㋕౞ᩇߩࡃ࡞ࠢ૕㑆ਛᄩ߆ࠄߩゲᣇะ૏⟎㧘❑ゲߪฦ૏⟎ߢߩゲᣇะߩ⏛᧤ኒᐲ㧘ࡄ࡜ࡔ࡯࠲ߪ㋕౞ᩇߩࡃ࡞ࠢ૕㑆ਛᄩ߆ࠄߩᄌ૏㊂ߢ޽ࠆ‫ޕ‬࿑ 13(a)ߩᄌ૏㊂㧘❑ゲࠍゲᣇะߩ⏛᧤ኒᐲ㧘ࡄ࡜ࡔ࡯࠲ࠍࡎ࡯ߢߪ㧘㋕౞ᩇ߇ Z=㧙1.5mm ߩ૏⟎ߦ޽ࠆߣ߈㋕౞ᩇߩࠛ࡞࠮ࡦࠨ૏⟎ߣߒߡ⴫ߒߚࠣ࡜ࡈࠍ␜ߔ‫ޕ‬X=㧙3, 0 ߩ૏࠶ࠫ(X=r7.5mm ߩ૏⟎)ࠃࠅౝ஥ߩ㋕౞ᩇਛᄩઃㄭߢߩ⟎ߢߪࡃ࡞ࠢ૕ߦㄭߠ޿ߚᣇߩ⏛᧤ኒᐲߪਅ߇ࠅ㧘㆙ߑ⏛᧤ኒᐲ߇৻⇟ૐߊߥࠅ㧘ࠛ࠶ࠫࠃࠅᄖ஥ߩㇱಽߢߪ⏛߆ߞߚᣇߩ⏛᧤ኒᐲߪ਄߇ߞߡ޿ߊߩߦኻߒ㧘X=㧙7(ࠛ᧤ኒᐲ߇৻⇟㜞ߊߥߞߡ޿ࠆߩߦኻߒߡ㧘࿑ 13(b)ߢߪߘ࠶ࠫઃㄭ)ߢߪߘߩㅒߩ௑ะߦߥߞߡ޿ࠆ‫ߚ߹ޕ‬㧘X=0 ߣߩㅒߦߥߞߡ޿ࠆ‫ߩߎޕ‬㧘㋕౞ᩇਛᄩઃㄭߢ⿠ߎࠆߎߩ

X=-3 ߩ․ᕈࠍᲧセߔࠆߣ X=0 ߩᣇ߇ゲᣇะᄌ૏ߦኻߔ

⏛᧤ኒᐲߩᷫዋ߇㜞᷷⿥㔚ዉࡃ࡞ࠢ૕ߣᒝ⏛ᕈ૕ߣߩ㑆ࠆ⏛᧤ኒᐲߩ௑߈߇ᄢ߈ߊߥߞߡ޿ࠆ‫ࠄ߆ࠇߎޕ‬㧘ᓳరߦ௛ߊᓳరജߦߥߞߡ޿ࠆߣ⠨߃ࠄࠇࠆ‫ޕ‬ജߩ⊒⃻ߪ㋕౞ᩇਛᄩઃㄭߢ㗼⪺ߢ޽ࠆߎߣ߇ಽ߆ࠆ‫ޕ‬(a) left side࿑  㔚⏛⍹ߩ⏛ᭂ㑆ߢ᷹ቯߒߚ⏛᧤ኒᐲಽᏓ࿑ )CROO ߩߣ߈ߩ㋕౞ᩇᏀฝ㕙ߩ⏛⇇ᄌൻ(b) right side࿑  Ǿ*OO ㋕౞ᩇᏀฝ⴫㕙ߩ⏛᧤ኒᐲಽᏓ
࿑ 14 ߦߪ㔚⏛⍹ߩ⏛ᭂ㑆ߦǾ10H10mm ߩ㋕౞ᩇࠍ
㈩⟎ߒ㧘㋕౞ᩇߩゲᣇะᄌ૏ߦኻߔࠆ㋕౞ᩇฝ㕙ߩ⏛᧤ኒᐲࠍᓘᣇะߦᴪߞߡ᷹ቯߒߚ⚿ᨐࠍ␜ߔ‫߈ߣߩߎޕ‬㔚⏛⍹ߩ⏛ᭂ㑆ߩ Gap ߪ 23mm ߢബ⏛㔚ᵹߪ 5A ߢ޽ࠆ‫ޕ‬

࿑ 14 ࠃࠅ㧘⿥㔚ዉࡃ࡞ࠢ૕ࠍ૶↪ߒߚߣ߈ߩታ㛎⚿ᨐߣ⇣ߥࠅ㧘㋕౞ᩇ߇ㄭߠ޿ߚߎߣߦࠃࠆ⏛᧤ߩᷫዋߪ⷗ࠄࠇߥ߆ߞߚ‫ࠄ߆ࠇߎޕ‬㧘৻᭽ߥ⏛⇇ਛߢ߽ㅢᏱߩ᳗ਭ⏛⍹࿑ )CROO ߩߣ߈ߩ㋕౞ᩇᏀฝ㕙ߩ⏛⇇ߩᄌൻ߿㔚⏛⍹ߢߪゲᣇะߩᓳరജߪᓧࠄࠇߥ޿ߎߣ߇ಽ߆ࠆ‫ޕ‬㧙㧙

EEE Transactions on Applied Superconductivity, ࿑ 16 ߪ Gap ࠍ 30mm ߆ࠄ 34mm ߹ߢᐢߍߡⴕߞߚߣVol. 9, No.2, June 1999߈ߩ⚿ᨐߢ޽ࠆ‫ޕ‬ᓳరജߩరߣߥࠆ㋕౞ᩇߩធㄭߦࠃࠆ

=? T. Takao, A. Niiro, S. Suzuki, M. Hashimoto, H.

⏛᧤ኒᐲߩᷫዋߪߺࠄࠇࠆ߇㧘Gap ߩᐢ߇ࠅߦ઻޿㋕౞Kamijo, and H. Fujimoto “Experimental andᩇ߆ࠄ㆙޿ᣇߩࡃ࡞ࠢ૕߆ࠄߩᓇ㗀߇ዊߐߊߥࠅ㧘ࡃ࡞

Numerical Analysis of Lift Force in Magneticࠢ૕߆ࠄ㔌ࠇߡ޿ࠆᣇߩ⏛᧤ኒᐲ߽ᷫዋߒߡ޿ࠆ‫ߩߎޕ‬

Levitation System” IEEE Transactions on Applied⚿ᨐ߆ࠄ㧘ࡃ࡞ࠢ૕㑆ߩᢙ mm ߩ㆑޿߇㋕ࡉࡠ࠶ࠢߩᶋ

Superconductivity, Vol. 15, No.2, June 2005

਄ߦᄢ߈ߊᓇ㗀ߔࠆߣ޿߁ߎߣ߇޿߃ࠆ‫ޕ‬=? ᮘญᶭ㚍㧘ੑࡁች ᤩ㧘⍹ㇹጟ ⁴‫ޟ‬㜞᷷⿥㔚ዉࡃ㧡⚿ ⺰࡞ࠢ૕ߣ㋕࡟࡯࡞㑆ߩࡇࡦ࠾ࡦࠣജࠍ↪޿ߚ⏛᳇ᶋ਄ⵝ⟎ߩ⹜૞‫╙ޠ‬࿁ᐕᐲ⑺ᦼૐ᷷Ꮏቇ࡮⿥㔚 ᧄ⎇ⓥߢߪ⌕⏛ߒߚ 2 ߟߩࡃ࡞ࠢ૕㑆ߦ㋕౞ᩇࠍᶋ਄

ዉቇળ⻠Ṷ᭎ⷐ㓸0Q2RR

ߐߖ㧘ࡃ࡞ࠢ૕ߣ㋕ߩ㑆ߦ௛ߊᓳరജࠍ㔚⏛ജߣ⏛᧤ኒ=? ᮘญ ᶭ㚍㧘ੑࡁች ᤩ㧘⍹ㇹጟ ⁴‫ޟ‬㜞᷷⿥㔚ዉࡃᐲߩਔ㕙߆ࠄታ㛎⊛ߦᬌ⸛ߒߚ‫᧤⏛ޕ‬ኒᐲߩ᷹ቯ⚿ᨐ߆࡞ࠢ૕ߩ᝝ᝒ⏛⇇ࠍ೑↪ߒߚ㋕ࡉࡠ࠶ࠢߩᶋ਄ታ

ࠄ㧘ࡃ࡞ࠢ૕ߦ㋕౞ᩇ߇ㄭߠߊߦߟࠇߡࡃ࡞ࠢ૕ߦኻะ㛎‫╙ޠ‬79࿁2008ᐕᐲ⑺ᦼૐ᷷Ꮏቇ࡮⿥㔚ዉቇળ㧘ߔࠆ㋕౞ᩇߩ⴫㕙㧔XY 㕙㧕ߦု⋥ߦଚ౉ߔࠆ⏛᧤߇ૐ0Q2R=? Ryomaᷫߔࠆ⃻⽎߇޽ࠆ੐߇⏕߆߼ࠄࠇߚ‫ߪ⽎⃻ߩߎޕ‬ㅢᏱߩ

Higuchi, Akira Ninomiya, and Takeshi

Ishigohka, “Levitation Experiment of Iron Block᳗ਭ⏛⍹ߣ㋕౞ᩇߩ㑆ߦߪ⃻ࠇߥ޿⃻⽎ߢ޽ࠅ㧘ᓳరജusing Pinning Flux in HTS Bulk Material.” IEEEߩ⊒⃻ߩၮ␆ߣߥࠆ⃻⽎ࠍⵣઃߌࠆ߽ߩߢ޽ࠆ‫ߚ߹ޕ‬㧘

Transactions on Applied Superconductivity. Aug,ߎߩ⃻⽎ߪ㋕౞ᩇߩਛᄩߦㄭ޿ㇱಽߢ㗼⪺ߦߥߞߡ޿ࠆߣ޿߁ߎߣ߇ಽ߆ߞߚ‫߅ߥޕ‬㧘ߎࠇࠄߩ⃻⽎ߦߟ޿ߡߪ
[9]

੹ᓟℂ⺰⊛ᬌ⸛ࠍട߃ߡ޿߈ߚ޿‫ޕ‬

2008 in Chicagoᮘญ ᶭ㚍㧘ੑࡁች ᤩ㧘⍹ㇹጟ ⁴‫ޟ‬㜞᷷⿥㔚ዉ૕ߩ᝝ᝒ⏛⇇ࠍ೑↪ߒߚ㋕ࡉࡠ࠶ࠢߩᶋ਄ታ㛎‫ޠ‬㔚᳇ቇળ⿥㔚ዉᔕ↪㔚ജᯏེ⎇ⓥળ, ASC-09-19, 2009ᐕ⻢ ㄉ2᦬ ᧄ⎇ⓥㆀⴕߦᒰߚࠅ㧘ᄙᄢߥߏេഥࠍ㗂޿ߚ(⽷)㋕㆏ᛛⴚ✚ว⎇ⓥᚲߩ਄᪯ᒄ⾆ඳ჻ߦᷓ⻢↳ߒ਄ߍࠆ‫ޕ‬ෳ⠨ᢥ₂[1]

H. Ohsaki, M. Takabatake, and E. Masada, “StableMagnetic Levitation of Soft Ferromagnetic

Materials by Flux Pinning of Bulk Superconductors”
IEEE Transactions on Magnetics, Vol. 33, No. 5,
September 1997=? ᄢፒ ඳਯ㧘㜞⇗ ᐙ↢㧘 ᱜ↰ ⧷੺ ‫ࠢ࡞ࡃޟ‬⿥㔚ዉ૕ߩ,E$․ᕈࠍ⠨ᘦߒߚ⏛᳇൨㈩ᶋ਄ߩ․ᕈ
⸃ᨆ‫⿥ ޠ‬㔚ዉᔕ↪㔚ജᯏེวห⎇ⓥળ #5%
.&RR
=? ╴੗㩷 ᐘ㓶䋬㩷 ᮘญ㩷 ବ㇢㩷 䇸㜞᷷⿥㔚ዉ૕䈫エ⏛ᕈ૕䉕⚵䉂ว䉒䈞䈢⏛᳇ᶋ਄ᯏ᭴䈱ᡷ⦟䇹㩷 ૐ᷷Ꮏቇ,8QNRR
[4]

Y. Fukasawa, and H. Ohsaki, “Three-Dimensional

Structure of Magnetic Field in the Mixed- ǴLevitation System using Bulk Superconductors”㧙㧙