平成26年度 研究成果報告書 第22号

公 益 財 団 法 人
応用科学研究所
平成 26 年度研究成果報告書
第 22 号
2014FY RESEARCH REPORT
No.22
2015
RESEARCH INSTITUTE FOR APPLIED SCIENCES
目 次
1.研究員による成果
高耐熱性材料の開発に関する研究 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 長江 正寛
1
各種金属材料(鉄鋼材料、高融点金属等)の表面処理に関する研究 ‥‥‥‥‥‥‥‥ 長江 正寛
2
久保研究室の成果 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 久保 愛三
3
Influence of enveloping stressed volume and
trochoidal interference on durability of gear teeth ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 久保 愛三
4
Crush of wear debris by tooth engagement,and tooth flank damage ‥‥‥‥‥‥‥‥ 久保 愛三
14
秋山研究室の成果 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 秋山 雅義
24
NbC 粒分散強化型工具の対熱間炭素鋼作用特性 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 秋山 雅義
25
2.特別研究員による成果
超電導技術の国際標準化 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 長村 光造
35
銀被覆ビスマス系線材の機械的特性評価 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 長村 光造
37
超伝導臨界電流の一軸圧縮 / 引張歪依存性とその非対称性 ‥‥‥‥‥‥‥‥‥‥‥‥ 長村 光造
39
核融合炉用超伝導線材の量子ビームを用いた応力・歪効果に関する研究 ‥‥‥‥‥‥ 長村 光造
42
文化財・美術品等の保存と普及のためのアーカイブ作成法の研究・開発 ‥‥‥‥‥‥ 井手 亜里
44
金属流体電磁ポンプとマルチグリッド法による電磁流体有限要素解析 ‥‥‥‥‥‥‥ 島崎 眞昭
46
3.共同研究員による成果
高温超伝導大電流導体の電磁特性についての基礎研究 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 雨宮 尚之
51
自動車用ガスディスチャージランプ ∼始動メカニズム解明∼ ‥‥‥‥‥‥‥‥‥‥ 植月 唯夫
54
安全情報を伝えるメディアの研究(その 2) ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 尾池 和夫
57
メガソーラー用インバーターにおける制御アルゴリズム開発 ‥‥‥‥‥‥‥‥‥‥‥ 太田 快人
平田 研二
59
搬送装置及び電源装置の制御技術の開発 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 太田 快人
平田 研二
61
新規プロトン伝導性電解質を用いた中温燃料電池に関する基礎研究 ‥‥‥‥‥‥‥‥ 小久見善八
62
SiC 結晶のキャリヤ寿命評価と再結合過程の解析 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 木本 恒暢
65
液体水素容器内の可視化システム開発 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 白井 康之
67
電力系統の分散制御に関する基礎研究 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 萩原 朋道
69
電力変換技術を適用した電力ネットワークの安定性に関する研究 ‥‥‥‥‥‥‥‥‥ 引原 隆士
71
大規模分散電源による電力系統の安定化 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 舟木 剛
73
マイクロ波帯次世代無線LANの適用評価研究 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 村田 英一
75
遮断器用真空バルブの絶縁設計に関する基礎研究 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 山本 修
77
二次電池による需給制御に関する研究 ‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥‥ 横山 明彦
80
4.トピックス
木村磐根副理事長 公益社団法人日本地球惑星科学連合(JpGU)
設立 25 周年記念式典(2014 年 5 月 1 日)においてフェローを受賞 ‥‥‥‥‥‥‥‥‥ 野村 俊雄
83
◊✲ဨ࡟ࡼࡿᡂᯝ
㧗⪏⇕ᛶᮦᩱࡢ㛤Ⓨ࡟㛵ࡍࡿ◊✲
➨୍◊✲ᐊ 㛗Ụṇᐶ
ཷクඛྡ㸸ᰴᘧ఍♫࢔ࣛ࢖ࢻ࣐ࢸࣜ࢔ࣝ
㸯㸬┠ⓗ
Mo ࡟ Ti ࡸ Zr ࡞࡝ࡢඖ⣲ࢆᅛ⁐ࡉࡏࡓྜ㔠ࢆ❅໬ฎ⌮ࡸᕼⷧ CO ࢞ࢫ⇕ฎ⌮ࡍࡿ࡜ࠊTi ࡸ Zr
ࡢඃඛⓗ❅໬(ෆ㒊❅໬)ࡸ㓟໬(ෆ㒊㓟໬)࡟ࡼࡾ Mo ࣐ࢺࣜࢵࢡࢫ୰࡟ྜ㔠ඖ⣲ࡢ❅໬≀ࡸ㓟໬≀
ࡀᯒฟࡍࡿࠋࡇࡢࡼ࠺࡞➨஧┦⢏Ꮚࡢᯒฟ࡟ࡼࡾ Mo ᮦᩱࡢ◳ᗘࡀቑຍࡋࠊ⪏ᦶ⪖ᛶࢆྥୖࡉࡏ
ࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿࠋࡲࡓࠊෆ㒊❅໬ࡸෆ㒊㓟໬࡛ᯒฟࡍࡿᚤ⢏Ꮚࡣࠊẕ┦ Mo ࡢ⤖ᬗ⢏⏺⛣ື
ࢆࣆࣥṆࡵࡍࡿຠᯝࡀ࠶ࡾࠊ౛࠼ࡤࠊ෌⤖ᬗ ᗘ௨ୗ࠿ࡽẁ㝵ⓗ࡟ ᗘࢆୖࡆ࡚❅໬ࢆ⾜࠺ከẁ
ෆ㒊❅໬࡟ࡼࡗ࡚ Mo ᮦᩱࡢ෌⤖ᬗ ᗘࢆ 500㹼700Υୖ᪼ࡉࡏࡿࡇ࡜ࡶྍ⬟࡛࠶ࡿ[1,2]ࠋࡇࡢ
ᵝ࡟ࠊෆ㒊❅໬ฎ⌮ࡸᕼⷧ CO ࢞ࢫ⇕ฎ⌮ࡣ Mo ᮦᩱࡢ⪏ᦶ⪖ᛶࡸ⪏⇕ᛶࢆྥୖࡉࡏࡿ⾲㠃ᨵ㉁
ἲ࡜ࡋ࡚㠀ᖖ࡟᭷ᮃ࡛࠶ࡿࡀࠊ❅⣲ࡸ㓟⣲ࡢᣑᩓ࡟ࡼࡗ࡚ᯒฟ཯ᛂࡀ㐍⾜ࡍࡿࡓࡵࠊ኱ᆺ㒊ရ࡟
ࡣ㐺⏝ࡀᅔ㞴࡜ゝ࠺ḞⅬࢆ᭷ࡋ࡚࠸ࡿࠋ
ᮏᖺᗘࡣࠊ㓟໬≀⢏Ꮚࢆᚤ⣽ศᩓࡉࡏࡓ኱ᆺࡢ㧗ᙉᗘ࣭㧗㠌ᛶ↝⤖ Mo ᮦᩱࡢస〇ࢆ┠ᣦࡋࠊ
↝⤖᮲௳࡞࡝ࡢᇶ♏ⓗ▱ぢࢆᚓࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ᳨࡚ウࢆ⾜ࡗࡓࠋ
㸰㸬ᡂᯝ
ᮏᖺᗘࡣῧຍࡍࡿ㓟໬≀⢏Ꮚ࡜ࡋ࡚ ZrO2 ࢆ㑅ᢥࡋࠊ✀ࠎࡢ᪉ἲ࡟࡚ῧຍࡋࡓヨᩱࡢ↝⤖ฎ⌮
ࢆ⾜ࡗࡓࠋῧຍᡭἲࡢ㐪࠸࡟ࡼࡾࠊZrO2 ࡢจ㞟ᣲື࡟᫂☜࡞㐪࠸ࡀ⌧ࢀࡿࡇ࡜ࡀศ࠿ࡗࡓࡀࠊ࠸
ࡎࢀࡢሙྜࡶ㠀ᖖ࡟ᚤ⣽࡞ ZrO2 ࢆศᩓࡉࡏࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿ஦ࡀ᫂ࡽ࠿࡜࡞ࡗࡓࠋ
ཧ⪃ᩥ⊩
(1)M. Nagae, Y. Takemoto, T. Yoshio, J. Takada and Y. Hiraoka, Preparation of
Structurally Controlled Dilute Molybdenum-Titanium Alloys through a Novel Multi-Step
Internal Nitriding, Materials Science & Engineering A, 406, pp.50-56(2005).
(2)M. Nagae, T. Yoshio, J. Takada and Y. Hiraoka, Improvement in Recrystallization
Temperature and Mechanical Properties of TZM Alloy through Microstructure Control by
Multi-Step Internal Technique, Materials Transactions, 46[10], pp.2129-2134(2005).
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 29 ᪥
−1−
ྛ✀㔠ᒓᮦᩱ(㕲㗰ᮦᩱࠊ㧗⼥Ⅼ㔠ᒓ➼)ࡢ
ྛ✀㔠ᒓᮦᩱ(㕲㗰ᮦᩱࠊ㧗⼥Ⅼ㔠ᒓ➼)ࡢ
⾲㠃ฎ⌮࡟㛵ࡍࡿ◊✲
⾲㠃ฎ⌮࡟㛵ࡍࡿ◊✲
➨୍◊✲ᐊ 㛗Ụṇᐶ
➨୍◊✲ᐊ 㛗Ụṇᐶ
㸯㸬┠ⓗ
ᅽᘏ࡞࡝ࡢᙉຍᕤࢆ᪋ࡋࡓ Mo ᮦᩱࡣࠊᐊ ௜㏆࡛ࡶ㧗࠸ᙉᗘ࡜࠶ࡿ⛬ᗘࡢᘏᛶࢆ♧ࡍࠋࡋ࠿
ࡋ࡞ࡀࡽࠊ1000°C ௨ୖࡢ ᗘᇦ࡛㛗᫬㛫౑⏝ࡉࢀ෌⤖ᬗ໬(⤖ᬗ⢏ࡢ⢒኱࣭➼㍈⢏໬)ࡍࡿ࡜ࠊ㧗
࡛ࡢ౑⏝୰࡟⮬㔜ࡸ௜ຍ㔜࡟ࡼࡗ࡚ᐜ᫆࡟ኚᙧࡍࡿࡤ࠿ࡾ࡛࡞ࡃࠊ⢏⏺࡟ἢࡗ࡚ட⿣ࡀఏ᧛ࡋ
ࡸࡍࡃ࡞ࡾࠊᘏᛶ㸫⬤ᛶ㑄⛣ ᗘ(DBTT)ࡣᐊ ௜㏆ࡲ࡛ୖ᪼ࡋࠊ⪏⾪ᧁᛶࡀⴭࡋࡃపୗࡍࡿࠋࡇ
ࡢࡼ࠺࡞෌⤖ᬗ⬤໬ࡢᨵၿ᪉ἲࡢ୍ࡘ࡜ࡋ࡚ࠊᡃࠎࡣⅣ⣲ᣑᩓ࡟ࡼࡿ⢏⏺ᙉ໬ἲ࡟㛵ࡍࡿ◊✲ࢆ
⾜ࡗ࡚࠸ࡿࠋ
ᮏ◊✲࡛ࡣࠊࢢࣛࣇ࢓࢖ࢺࢆࢫࣉ࣮ࣞሬᕸࡋࡓ Mo ᮦᩱࡢ┿✵ຍ⇕ᣲື࡞ࡽࡧ࡟ᕼⷧ CO ࢞ࢫ
⇕ฎ⌮࡟ࡼࡿ⢏⏺ᙉ໬࡟ࡘ࠸࡚ࡢ᳨ウࢆ⾜ࡗࡓࠋ
㸰㸬ᡂᯝ
(1) ࢢࣛࣇ࢓࢖ࢺࢆࢫࣉ࣮ࣞሬᕸࡋࡓ Mo ᮦᩱࡢ┿✵ຍ⇕ᣲື
⾲㠃࡟ࢢࣛࣇ࢓࢖ࢺࢫࣉ࣮ࣞࢆሬᕸࡋࡓ Mo ᮦᩱࢆ 1100㹼1500°C ࡛┿✵ຍ⇕ࡍࡿ࡜ࠊ⾲㠃࡟
ࡣ࠸ࡎࢀࡶⷧ࠸ Mo Ⅳ໬≀⿕⭷ࡀ⏕ᡂࡋࡓࠋࡇࡢ≧ែ࡛ 3 Ⅼ᭤ࡆヨ㦂ࢆ⾜࠺࡜ࠊ◚᩿ᙉᗘࡣᮍฎ
⌮ᮦ࡟ẚ࡭࡚పୗࡍࡿࡀࠊ◚㠃ほᐹࡢ⤖ᯝࠊ඲࡚ࡢヨᩱࡀ⢏ෆ◚㠃ࢆ࿊ࡍࡿࡇ࡜࠿ࡽ(ᮍฎ⌮ᮦࡣ
⢏⏺◚㠃)ࠊ⢏⏺ࡑࡢࡶࡢࡣⅣ⣲ᣑᩓ࡟ࡼࡗ࡚ᙉ໬ࡉࢀ࡚࠸ࡿࡇ࡜ࡀ♧၀ࡉࢀࡓࠋ┿✵ຍ⇕᫬࡟⏕
ᡂࡋࡓ Mo Ⅳ໬≀⿕⭷ࢆ㟁ゎ◊☻࡛㝖ཤࡋࡓヨᩱ࡟ࡘ࠸࡚ྠᵝ࡟ 3 Ⅼ᭤ࡆヨ㦂ࢆ⾜ࡗࡓ࡜ࡇࢁࠊ
ᮍฎ⌮ᮦ࡟ẚ࡭࡚⣙ 1.5 ಸࡢ◚᩿ᙉᗘࢆ♧ࡍࡇ࡜ࡀศ࠿ࡗࡓࠋࡲࡓࠊⅣ⣲ᣑᩓ῝ࡉࢆ᳨ウࡋࡓ⤖
ᯝࠊࢢࣛࣇ࢓࢖ࢺ⢊ᮎ࡟ᇙࡵ㎸ࢇ࡛┿✵ຍ⇕ࡋࡓሙྜ࡟ẚ࡭࡚ࠊࢫࣉ࣮ࣞሬᕸ࡟ࡼࡿ᪉ἲ࡛ࡣࡼ
ࡾෆ㒊ࡲ࡛Ⅳ⣲ࡀᣑᩓࡋ࡚࠸ࡿࡇ࡜ࡶ᫂ࡽ࠿࡜࡞ࡗࡓࠋ
(2) ᕼⷧ CO ࢞ࢫ⇕ฎ⌮࡟ࡼࡿ⢏⏺ᙉ໬
Mo ᮦᩱ࡟ᑐࡋ࡚ᕼⷧ CO ࢞ࢫ⇕ฎ⌮ࢆ⾜࠺࡜ࠊⅣ⣲ࡢ⢏⏺ᣑᩓ࡟ࡼࡿ⢏⏺ᙉ໬࡜ࠊ㓟⣲ࡢయ
✚ᣑᩓ࡟ࡼࡿෆ㒊㓟໬ࡀྠ᫬࡟㐍⾜ࡍࡿࠋ ᚑ᮶ᡃࠎࡣࠊAr ࢞ࢫ࡛ 2vol%࡟ᕼ㔘ࡋࡓ CO ࢞ࢫࢆ
⏝࠸࡚ᵝࠎ࡞᳨ウࢆ⾜ࡗ࡚ࡁࡓࡀࠊࡼࡾప⃰ᗘࡢ CO ࢞ࢫ୰࡟࠾ࡅࡿ⇕ฎ⌮ᣲືࡣ඲ࡃ୙࡛᫂࠶
ࡿࠋᮏᖺᗘࡢ᳨ウ⤖ᯝ࡛ࡣࠊCO ⃰ᗘࢆ 0.5%ࡲ࡛పୗࡉࡏ࡚ࡶ⢏⏺ᙉ໬࡜ෆ㒊㓟໬ࡀྍ⬟࡛࠶ࡿ
஦ࢆ᫂ࡽ࠿࡟ࡋࡓࠋ
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 29 ᪥
−2−
ஂಖ◊✲ᐊࡢᡂᯝ
ஂಖ◊✲ᐊ ஂಖឡ୕
ᖹᡂ26ᖺᗘࡣࠊୗグࡢᏛ఍࡟࡚㸰௳ࡢⓎ⾲ࡀ࠶ࡿࠋ
INTERNATIONAL GEAR CONFERENCE
26th-28th August 2014
Espace Tête d’Or, 103 Boulevard Stalingrad, Lyon Villeurbanne, FRANCE
(1)PLENARY SESSION -3
Influence of enveloping stressed volume and trochoidal interference
on durability of gear teeth
(2)Session 24: Durability, fatigue (ϩ) -3
Crush of wear debris by tooth engagement, and tooth flank damage
௨ୗࠊ2௳ࡢㄽᩥࢆᥖ㍕ࡍࡿࠋ
−3−
Influence of enveloping stressed volume and trochoidal
interference on durability of gear teeth
Contents
1. Local stressed volume (LSV) and Enveloping stressed volume (ESV) of
material at transmitting power
2. Gear tooth flank failure as function of ESV and trochoidal interference
3. Rag wear and tooth failure as the result of positive feed back system of
surface failure development
KBGT 䠄Kubo’s Gear Technologies䠅
General manager of the Research Institute for
Applied Sciences, Kyoto 606-8202 Japan
Aizoh KUBO, Prof.hc.Dr.-Eng.
In case of IAE gear & lubricant tester
The long addendum engages with rather
short dedendum.
Driving
That means, small amount of tooth flank
material on dedendum carries same power
that large amount of tooth flank material
on addendum carries.
As the result, damage of dedendum is far
severer than that of addendum, though the
contact stress on contacting dedendum
and addendum is same.
Driven
Very primitive thought !
−4−
DĂƚŝŶŐ
ƚŽŽƚŚĨůĂŶŬƐ
Driving
tooth
No damage on addendum,
severer damage on dedendum.
Driven tooth
Pitch line
The contact stress on dedendum and addendum is
same, but damage of dedendum is far severer than that
of addendum .
Traction gear of automotive power transmission
ůŵŽƐƚŶĞǁůLJƐŚĂǀĞĚĨůĂŶŬ
dƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞ
tŽƌŶ
Replica observation
dƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞ
^ĂǀĞƚŚĞƌĞŐŝŽŶŽĨƚƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞ͕ĚĞĚĞŶĚƵŵŝƐĐŽŶƐŝĚĞƌĂďůLJǁŽƌŶ;ŶŽƌŵĂůǁĞĂƌͿ͕
ďƵƚĂĚĚĞŶĚƵŵŝƐĂůŵŽƐƚĨƌĞƐŚ͘
−5−
The tooth flank is not yet damaged, but wear state of addendum and of
dedendum looks considerablly different.
WůĂŶĞƚŐĞĂƌŽĨůĂŶĚĐŽŶƐƚƌƵĐƚŝŽŶŵĂĐŚŝŶĞƌLJ
^sŝƐƚŚĞǀŽůƵŵĞŽĨĞŶǀĞůŽƉĞĚƌĂǁŶďLJ>^sĚƵƌŝŶŐƚŚĞ
ƌŽůůŝŶŐΘƐůŝĚŝŶŐŵŽǀĞŵĞŶƚŽĨĐŽŶƚĂĐƚŝŶŐďŽĚŝĞƐƚŚĂƚ
ƚƌĂŶƐŵŝƚƐƉŽǁĞƌŝŶƵŶŝƚƚŝŵĞůĞŶŐƚŚ͘
dŚĞ^sŽĨĐŽŶƚĂĐƚŝŶŐŵĂƚĞƌŝĂůŽŶďŽƚŚĐŽŶƚĂĐƚŝŶŐďŽĚŝĞƐ͕
Ğ͘Ő͘ƚŽŽƚŚĨůĂŶŬƐ͕ĚŝĨĨĞƌƐĂƐĨƵŶĐƚŝŽŶŽĨĚƐϭ ĂŶĚĚƐϮ͘
ŶǀĞůŽƉŝŶŐƐƚƌĞƐƐĞĚ
ǀŽůƵŵĞ͗^s
sŽůƵŵĞŽĨŵĂƚĞƌŝĂůƚŚĂƚŝƐƐƚƌĞƐƐĞĚĚƵƌŝŶŐ
ƚƌĂŶƐŵŝƚƚŝŶŐƉŽǁĞƌďLJƌŽůůŝŶŐĂŶĚƐůŝĚŝŶŐ
ĐŽŶƚĂĐƚͲƐƵƌĨĂĐĞƐ
>ŽĐĂůƐƚƌĞƐƐĞĚǀŽůƵŵĞ͗>^s
ŽŶƚĂĐƚŝŶŐďŽĚLJϭ
ŽŶƚĂĐƚŝŶŐďŽĚLJϮ
ĨƚĞƌƚŚĞ,ĞƌƚnjŝĂŶƐƚƌĞƐƐƚŚĞŽƌLJ
ŽĨĐŽŶƚĂĐƚŝŶŐĞůĂƐƚŝĐďŽĚŝĞƐ͕ƚŚĞ
ƐƚĂƚƵƐŽĨŝŶĚƵĐĞĚƐƚƌĞƐƐŽŶ
ƐƵƌĨĂĐĞĂŶĚŝŶƐƵďƐƵƌĨĂĐĞŝƐ
ƐLJŵŵĞƚƌŝĐĨŽƌďŽƚŚĐŽŶƚĂĐƚŝŶŐ
ďŽĚŝĞƐ͘
dŚĞ>^sŽĨĐŽŶƚĂĐƚŝŶŐŵĂƚĞƌŝĂů
ŝƐŽĨƐĂŵĞŵĂŐŶŝƚƵĚĞĨŽƌďŽƚŚ
ĐŽŶƚĂĐƚŝŶŐďŽĚŝĞƐ͘
/ŶĐĂƐĞŽĨŐĞĂƌƚŽŽƚŚĞŶŐĂŐĞŵĞŶƚ͕ƚŚĞĐŽŶƚĂĐƚůĞŶŐƚŚ
ŽĨƐƵƌĨĂĐĞŵĂƚĞƌŝĂůŽĨƚŽŽƚŚĨůĂŶŬĐŚĂŶŐĞƐĚƵƌŝŶŐ
ƉƌŽŐƌĞƐƐŽĨŵĞƐŚŝŶŐĂƐĚƐϭ ĂŶĚĚƐϮ ͘
ƚĐŽŵŵŽŶƚĞƐƚŝŶŐŵĞƚŚŽĚĨŽƌŵĂƚĞƌŝĂůƐƚƌĞŶŐƚŚ͕Ğ͘Ő͘ƚĞŶƐŝůĞƐƚƌĞŶŐƚŚƚĞƐƚ͕ďĞŶĚŝŶŐƐƚƌĞŶŐƚŚƚĞƐƚĞƚĐ͕͘ƚŚĞƌĞŝƐŶŽ
ƐĞŶƐĞƚŽĚŝƐƚŝŶŐƵŝƐŚ>^sĂŶĚ^s͘ĞĐĂƵƐĞƚŚĞLJĂƌĞƵƐƵĂůůLJŽĨƚŚĞƐĂŵĞǀŽůƵŵĞ͘
ƵƚǁŚĞŶǁĞĐŽŶƐŝĚĞƌƚŚĞƐƵƌĨĂĐĞĚƵƌĂďŝůŝƚLJŽĨŐĞĂƌƚŽŽƚŚĨůĂŶŬ͕ǁĞŚĂǀĞƚŽƚƌĞĂƚƐƵƌĨĂĐĞŵĂƚĞƌŝĂůƵŶĚĞƌƌŽůůŝŶŐΘ
ƐůŝĚŝŶŐĐŽŶƚĂĐƚ͘/ŶƚŚŝƐĐĂƐĞ͕ƚŚĞ>^sĂŶĚ^sŝƐƋƵŝƚĞĚŝĨĨĞƌĞŶƚ͕ǁŚĞŶƚŚĞĐŽŶƚĂĐƚŝŶŐƉŽŝŶƚŝƐĨĂƌĨƌŽŵƚŚĞƉŝƚĐŚƉŽŝŶƚ͘
−6−
Very primitive
thought !
^ĂŵĞ ůŽĂĚŝŶŐ
^ĂŵĞŚĞĂƚŝŶƉƵƚ
ĐƚƵĂůůLJƚŚĞƐƵƌĨĂĐĞƚĞŵƉĞƌĂƚƵƌĞŽĨĚĞĚĞŶĚƵŵ͕ĞƐƉĞĐŝĂůůLJŶĞĂƌ
ďĂƐĞĐŝƌĐůĞďĞĐŽŵĞƐĐŽŶƐŝĚĞƌĂďůLJŚŝŐŚĞƌƚŚĂŶƚŚĞƚĞŵƉĞƌĂƚƵƌĞ
ŽĨŵĂƚŝŶŐĂĚĚĞŶĚƵŵƐƵƌĨĂĐĞ͘
ŽĞƐƚŚŝƐŐĞŶĞƌĂůĨĞĞůŝŶŐŽĨĞdžƉĞƌŝĞŶĐĞǀĂůŝĚƚŽƚƌĞĂƚ
ŵĂƚĞƌŝĂůĚƵƌĂďŝůŝƚLJƵŶĚĞƌƌŽůůŝŶŐΘƐůŝĚŝŶŐĐŽŶƚĂĐƚ͍͕
ƚŚŽƵŐŚŝƚŝƐƉĞƌŚĂƉƐŶŽƚĐŽƌƌĞĐƚůLJĐŽƌƌĞƐƉŽŶĚŝŶŐ͘
,ŝŐŚƚĞŵƉ͘
,ŝŐŚƐƉĞĐ͘ƐƚƌĞƐƐĞĚ
ŵŽƵŶƚŽĨ
ŵĂƚĞƌŝĂůƚŚĂƚ
ĐĂƌƌLJ
ƚƌĂŶƐŵŝƚƚŝŶŐ
ƉŽǁĞƌ
^ŵĂůůĂŵŽƵŶƚ
ŽĨŵĂƚĞƌŝĂůƚŽ
ĐĂƌƌLJƉŽǁĞƌ
tŚĞŶǁĞĂĚĂƉƚŽƵůŽŵď͛ƐůĂǁŽĨǁĞĂƌĨŽƌ
ƚŚĞĐĂƐĞŽĨƌŽůůŝŶŐΘƐůŝĚŝŶŐĐŽŶƚĂĐƚͲ ďŽĚŝĞƐ͕
ǁĞŚĂǀĞĂƌĞůĂƚŝŽŶƚŚĂƚƚŚĞĚŝĨĨĞƌĞŶĐĞŽĨ
^sŝƐĐŽƌƌĞƐƉŽŶĚŝŶŐƚŽƚŚĞĚŝĨĨĞƌĞŶĐĞŝŶ
ǁĞĂƌĂŵŽƵŶƚ͘ WĞƌŚĂƉƐƚŚŽƵŐŚƚŚŝƐƌĞƐƵůƚƐ
ĚŽĞƐŶŽƚĞdžƉůĂŝŶƚŚĞƌĞĂůǁŽƌůĚŽĨĨĂŝůƵƌĞ
ŝŶǀŽůǀŝŶŐŵĂƚĞƌŝĂůĨĂƚŝŐƵĞ͘
>ĂƌŐĞĂŵŽƵŶƚ
ŽĨŵĂƚĞƌŝĂůƚŽ
ĐĂƌƌLJƉŽǁĞƌ
tŚĞŶƚŚĞĂŵŽƵŶƚŽĨŵĂƚĞƌŝĂůŝƐĚŝĨĨĞƌĞŶƚƚŽĐĂƌƌLJ
ƐĂŵĞƉŽǁĞƌĂŶĚůŽĂĚ͕ǁĞŬŶŽǁĞŵƉŝƌŝĐĂůůLJ͕ƚŚĂƚƚŚĞ
ŵĂƚĞƌŝĂůŽĨƐŵĂůůĞƌƐƚƌĞƐƐĞĚǀŽůƵŵĞŚĂƐƚŽƐƵĨĨĞƌ
ůĂƌŐĞƌĚĂŵĂŐĞ͘
tŚĞŶǁĞĂĚĂƉƚƚŚĞƚŚĞŽƌLJŽĨĨĂƚŝŐƵĞŽĨ
ŵĂƚĞƌŝĂůĨŽƌƚŚŝƐĐĂƐĞ͕ƚŚĞƌĞĂƉƉĞĂƌƐŶŽ
ŝŶĨůƵĞŶĐĞŽĨƚŚĞĚŝĨĨĞƌĞŶĐĞŝŶ^sŽŶƚŚĞ
ĚƵƌĂďŝůŝƚLJŽĨĐŽŶƚĂĐƚŝŶŐƐƵƌĨĂĐĞƐ͘
dŚŝƐŝƐƉĞƌŚĂƉƐŽƵƌĐŽŵŵŽŶĞdžƉĞƌŝĞŶĐĞĚƵƌŝŶŐƵƐŝŶŐ
ƚŽŽůƐŝŶŚƵŵĂŶŚŝƐƚŽƌLJ͘
,ŝƐƚŽƌŝĐĂůůLJ͕ƚŚĞĚŝĨĨĞƌĞŶƚƐƚĂƚĞŽĨƉŝƚƚŝŶŐŽŶĂĚĚĞŶĚƵŵƚŽŽƚŚĨůĂŶŬĂŶĚŽŶĚĞĚĞŶĚƵŵ
ƚŽŽƚŚĨůĂŶŬĂŶĚƚŚĞĚŝĨĨĞƌĞŶĐĞŽĨƚŚĞŝƌĚĂŵĂŐĞĚĞǀĞůŽƉŵĞŶƚŚĂǀĞďĞĞŶŽĨƚĞŶƐŽ
ĞdžƉůĂŝŶĞĚ͕ƚŚĂƚƚŚĞƐƚĂƚĞŽĨŽŝůƚƌĂƉƉĞĚŝŶƐŝĚĞĐƌĂĐŬŽĨƉŝƚƚŝŶŐŝƐĚŝĨĨĞƌĞŶƚŽŶĂĚĚĞŶĚƵŵ
ĂŶĚŽŶĚĞĚĞŶĚƵŵĂƐĨƵŶĐƚŝŽŶŽĨƌŽůůŝŶŐĂŶĚƐůŝĚŝŶŐĚŝƌĞĐƚŝŽŶ͘
dŚĞĚŝĨĨĞƌĞŶĐĞŽĨĂĐƚƵĂůƐƵƌĨĂĐĞĚĂŵĂŐĞŽŶĂĚĚĞŶĚƵŵĂŶĚŽŶĚĞĚĞŶĚƵŵŝƐƚŚŽƵŐŚƚŽŽ
ůĂƌŐĞƚŽĞdžƉůĂŝŶŝƚďLJƐƵĐŚŽŝůƚƌĂƉƉŝŶŐŚLJƉŽƚŚĞƐĞƐ͘
dƌŽĐŚŽŝĚĂů
ŝŶƚĞƌĨĞƌĞŶĐĞ
^ƵŶƉŝŶŝŽŶŽĨƉůĂŶĞƚĂƌLJŐĞĂƌƐĨŽƌďŝŐƐŚŽǀĞůĚƌŝǀĞ
−7−
dƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞ
;ƵƚͲŝŶƌĞŐŝŽŶͿ
High temperature damage
,ŽƚƐĐƵĨĨŝŶŐŝŶŝƚŝĂƐƚĞƐĂƚůŽǁĞƌĚĞĚĞŶĚƵŵ͕
ďĞĐĂƵƐĞƚŚĞ^sƚŚĞƌĞŝƐƐŵĂůůĂŶĚƚŚĞ
ƐƵƌĨĂĐĞƚĞŵƉĞƌĂƚƵƌĞďĞĐŽŵĞƐǀĞƌLJŚŝŐŚ͘
High temperature,
thin film damage
dŚĞƐŝƚƵĂƚŝŽŶŽĨŽŝůĨŝůŵƌƵƉƚƵƌĞĂƚƚƌŽĐŽŝĚĂů
ŝŶƚĞƌĨĞƌĞŶĐĞŝƐĚƌĂŐŐĞĚƵƉǁĂƌĚƚŽƚŚĞƉŝƚĐŚ
ůŝŶĞĂŶĚǁŚŽůĞĚĞĚĞŶĚƵŵďĞĐŽŵĞƐƐĐƵĨĨĞĚ͘
Hot scuffing
^ŬĞŵĂƚŝĐƐƚĂƚĞŽĨĐŽŶƚĂĐƚƐƚƌĞƐƐŝŶĐůƵĚŝŶŐƚŚĞƉĞƌŝŽĚŽĨƚƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞ
DŽƐƚŽĨŐĞĂƌĨĂŝůƵƌĞŝŶŝƚŝĂƚĞƐŽŶ
ƚŚŝƐƉĂƌƚŽĨƚŽŽƚŚĨůĂŶŬ͘
dŽŽƚŚƚŝƉ
ĞĚŐĞ
ĐŽŶƚĂĐƚ
,ĞƌƚnjŝĂŶƐƚƌĞƐƐŽĨĐŽŶƚĂĐƚŝŶŐƚŽŽƚŚĨůĂŶŬƐ
ĞĐĂƵƐĞŽĨƚƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞ͕ĐŽŶƚĂĐƚŽĨ
ƚŽŽƚŚƚŝƉĞĚŐĞďĞŐŝŶƐĂƚƉŽŝŶƚ͘dŚĞĞĚŐĞ
ĐŽŶƚĂĐƚŵŽǀĞƐĨƌŽŵƉŽŝŶƚƚŽƉŽŝŶƚ͕Ăƚ
ǁŚŝĐŚŝŶǀ͘ƚŽ͘ŝŶǀ͘ ƚŽŽƚŚĨůĂŶŬĐŽŶƚĂĐƚďĞŐŝŶƐ͘
ZĞŐŝŽŶŽĨǀĂůŝĚŝƚLJŽĨĐĂůĐƵůĂƚŝŽŶ
ŵĞƚŚŽĚĨŽƌůŽĂĚĐĂƌƌLJŝŶŐĐĂƉĂďŝůŝƚLJ
ŽĨŐĞĂƌƐĨŽƌƐƵƌĨĂĐĞĚƵƌĂďŝůŝƚLJ
ƚƚŽŽƚŚƚŝƉĞĚŐĞĂŶĚĂƚĚĞĚĞŶĚƵŵŝŶƐŝĚĞ
ƚŽƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞnjŽŶĞ͕ĨĂƌŚŝŐŚĞƌ
ĐŽŶƚĂĐƚƐƚƌĞƐƐĂŶĚƚŚĞƌŵĂůƐƚĂƚĞŽĐĐƵƌƐƚŚĂŶ
ƚŚĞǀĂůƵĞƉƌĞĚŝĐƚĞĚĨŽƌŝŶǀ͘ƚŽ͘ŝŶǀ͘ĐŽŶƚĂĐƚ͘
dŚĞƚƌŝŐŐĞƌŽĨƚŽŽƚŚĨůĂŶŬĨĂŝůƵƌĞĞdžŝƐƚƐ
ƉƌĞĚŽŵŝŶĂŶƚůLJŝŶƐƵĐŚnjŽŶĞ͘
−8−
,ŝŐŚůLJůŽĂĚĞĚƐƉƵƌŐĞĂƌƐĨŽƌůĂŶĚĐŽŶƐƚƌƵĐƚŝŽŶǀĞŚŝĐůĞĚƌŝǀĞ
dŽŽƚŚǁŝƚŚůĞĂĚĨŽƌŵĐŽƌƌĞĐƚŝŽŶŽĨĐƌŽǁŶŝŶŐƐƵĨĨƵƌĞƐƵƐƵĂůůLJƐƚƌŽŶŐĚĂŵĂŐĞĨƌŽŵƚƌŽĐŚŽŝĚĂů
ŝŶƚĞƌĞĨĞŶĐĞĂƚƚŚĞŵŝĚĚůĞŽĨƚŽŽƚŚǁŝĚƚŚ͘
Note the depth of trochoidal interference corresponding to the form of lead form modification of crowning
,ŝŐŚƉƌĞĐŝƐŝŽŶŚĞůŝĐĂůŐĞĂƌƐŝŶĚƵƐƚƌŝĂůƵƐĞ
tŽƌĚŝŶŐ͗͞ZĂŐͲǁĞĂƌ͟
&ŽƌĐŽŶǀĞŶŝĞŶĐĞĨŽƌĚŝƐĐƵƐƐŝŽŶ͕/ĚĞĨŝŶĞŚĞƌĞƚŚĞĐŽŶĐĞƉƚ
ŽĨĨŽůůŽǁŝŶŐŐĞĂƌƚŽŽƚŚĨůĂŶŬĚĂŵĂŐĞĂƐ͞ZĂŐͲǁĞĂƌ͗͟
hŶĚĞƌǀĞƌLJŚŝŐŚƐƵƌĨĂĐĞƚĞŵƉĞƌĂƚƵƌĞ͕ƚŚĞƚŚŝĐŬŶĞƐƐŽĨ
ůƵď͘ŽŝůĨŝůŵďĞĐŽŵĞƐǀĞƌLJƚŚŝŶĂŶĚŐƌĂŶƵůĂƌĨĂůůŝŶŐͲŽĨĨŽĨ
ƐƵƌĨĂĐĞŵĂƚĞƌŝĂůŽĐĐƵƌƐ͕ĂĚŚĞƐŝǀĞǁĞĂƌŽĐĐƵƌƐ͕ƉŝƚƚŝŶŐ
ŽĐĐƵƌƐ͕ĐƌƵƐŚŽĨǁĞĂƌĚĞďƌŝƐŽĐĐƵƌƐ͕ƉůĂƐƚŝĐĚĞĨŽƌŵĂƚŝŽŶ
ŽĨƚŚĂƚƚŽŽƚŚĨůĂŶŬŽĐĐƵƌƐƐŝŵƵůƚĂŶĞŽƵƐůLJ͘^ƵĐŚĐŽŵƉůĞdž
ƐŝƚƵĂƚŝŽŶŽĨŐĞĂƌƚŽŽƚŚĨůĂŶŬǁĞĂƌĚĞǀĞůŽƉƐŝƚƐĞůĨǁŝƚŚƌƵŶ
ŽĨŽƉĞƌĂƚŝŶŐƚŝŵĞĂƐƉŽƐŝƚŝǀĞĨĞĞĚďĂĐŬƐLJƐƚĞŵŽĨĨĂŝůƵƌĞ
ĚĞǀĞůŽƉŵĞŶƚ͘ƵƌŝŶŐƚŚĞĚĂŵĂŐĞĚĞǀĞůŽƉŵĞŶƚ͕ƚŽŽƚŚ
ĨůĂŶŬǁĞĂƌĂŶĚƉůĂƐƚŝĐĚĞĨŽƌŵĂƚŝŽŶŽĨƚĞŶĐŽǀĞƌƐƉŝƚƚĞĚ
ĂƌĞĂĂŶĚĞůŝŵŝŶĂƚĞƐƉŝƚƚŝŶŐ͘
dŚĞĞdžƉƌĞƐƐŝŽŶ͞ZĂŐǁĞĂƌ͟ŝŶĚŝĐĂƚĞƐƐƵĐŚƐƚĂƚĞŽĨŐĞĂƌ
ƚŽŽƚŚĨůĂŶŬǁĞĂƌǁŝƚŚŽŶĞǁŽƌĚ͘
−9−
ƵƌŶĞĚŽŝůƐůƵĚŐĞďĞŶĞĂƚŚƚŚĞůŽǁĞƌƚŽŽƚŚĐŽŶƚĂĐƚůŝŵŝƚŝŶĚŝĐĂƚĞƐ͕ƚŚĂƚƚŚĞƚĞŵƉĞƌĂƚƵƌĞƚŚĞƌĞŚĂƐŝŶĐƌĞĂƐĞĚǀĞƌLJŚŝŐŚ͘
ƌŝǀĞŶ
䡐ŽŽƚŚ
ϭϬ
/ŶƐŝĚĞƚŚĞƚƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞnjŽŶĞ͕ƌĂŐǁĞĂƌŽĐƵƌƌĞƐ͘
^ŝŵƵůƚĂŶĞŽƵƐ&K͕ƐĐƵĨĨŝŶŐ͕ƉůĂƐƚŝĐĚĞĨŽƌŵĂƚŝŽŶ͕ŚĞĂǀLJǁĞĂƌĂƌĞƌĞĐŽŐŶŝnjĞĚ͘
,ĞĂǀLJŚĞĂƚŐĞŶĞƌĂƚŝŽŶĂŶĚŚŝŐŚƐƵƌĨĂĐĞƚĞŵƉĞƌĂƚƵƌĞƚŚĞƌĞŵĂŬĞƐƚŚĞĂůůŽǁĂŶĐĞ
ƚŽƚŚĞĚƵƌĂďŝůŝƚLJŽĨƚŽŽƚŚĨůĂŶŬŵĂƚĞƌŝĂůĐŽŶƐŝĚĞƌĂďůLJůŽǁ͘
hŶĚĞƌŶĞĂƚŚƚŚĞůŝŵŝƚŽĨƚŽŽƚŚĐŽŶƚĂĐƚ͕ƉŝůŝŶŐͲƵƉŽĨƉůĂƐƚŝĐĂůůLJĨůŽǁŶƚŽŽƚŚĨůĂŶŬŵĂƚĞƌŝĂůĚƵĞƚŽƚŚĞƚŽŽƚŚƚŝƉĞĚŐĞ
ŵŽǀĞŵĞŶƚďLJƚƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞŝƐƌĞĐŽŐŶŝnjĞĚ͘ ;dŚŝƐŽďƐĞƌǀĂƚŝŽŶƚŚĂŶŬƐƚŽƚŚĞƐŽƉŚŝƐƚŝĐĂƚĞĚůŝŐŚƚŝŶŐĂƚƉŚŽƚŽŐƌĂƉŚ͘Ϳ
ĞĐĂƵƐĞŽĨŚŝŐŚƚĞŵƉĞƌĂƚƵƌĞŽĨƚŽŽƚŚĨůĂŶŬŵĂƚĞƌŝĂů͕ĞƐƉĞĐŝĂůůLJŝŶƐŝĚĞƚŚĞƚƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞnjŽŶĞ͕ŝƚƐŚĂƌĚŶĞƐƐĂŶĚ
ƐƚƌĞŶŐƚŚďĞĐŽŵĞƐůŽǁ͕ƚŚĂƚŵĂŬĞƐƚŚĞƉůĂƐƚŝĐĨůŽǁŽĨƚŚĞŵĂƚĞƌŝĂůĞĂƐLJ͘
dŽŽƚŚ
ϭϱ
dŽŽƚŚ
ϭϭ
/ŶƚŚĞƌĞŐŝŽŶŽĨƐŵĂůů^s͕
ĞƐƉĞĐŝĂůůLJŝŶƚƌŽĐŚŽŝĚĂů
ŝŶƚĞƌĨĞƌĞŶĐĞnjŽŶĞ͕
ŵĂƚĞƌŝĂůƚĞŵƉĞƌĂƚƵƌĞŽŶ
ƚŚĞƐƵƌĨĂĐĞďĞĐŽŵĞƐƐŽ
ŚŝŐŚ͕ƚŚĂƚŝƐĞŶŽƵŐŚƚŽ
ŵĞůƚƚŚĞƐƵƌĨĂĐĞǀĞƌLJ
ůŽĐĂůůLJ͘
dŽŽƚŚϭϴ
− 10 −
䛆䐟䛇Driven wheel tooth
1 x 10^6 + (1600N䡡m) 5.2㽢10^4 cycles
Initiation of crack at side edge of helical tooth on acute
angle side
Tooth13
Inside trochoidal interference zone, severe rag wear
occurs.
The material strength decreases there and crack
initiate easily.
That surface crack acts as notch and it develops into
deep macro crack.
A kind of side wall rapture, chipping, also ocurs.
Tooth16
^ŽŵĞĐůĞĂƌǀŝĞǁŽĨƚŽŽƚŚƐƵƌĨĂĐĞŵĞůƚŝŶŐŝŶƚƌŽĐŚŽŝĚĂůŝŶƚĞƌĞĨĞƌĞŶĐĞnjŽŶĞ͕ŽďƐĞƌǀĞĚƵŶĚĞƌ
ƐŽƉŚŝƐƚŝĐĂƚĞĚůŝŐŚƚŝŶŐĂƚƉŚŽƚŽŐƌĂƉŚ͘
zŽƵĐĂŶĞĂƐŝůLJĂƐƐƵŵĞ͕ƚŚĂƚƚŚĞƌĞĚƵĐƚŝŽŶŽĨŵĂƚĞƌŝĂůƐƚƌĞŶŐƚŚƚŚĞƌĞŵƵƐƚďĞǀĞƌLJďŝŐ͕ƚŚŽƵŐŚ
ƐƵĐŚŝŶĨůƵĞŶĐĞŝƐŶŽƚƚĂŬĞŶŝŶĐŽŶƐŝĚĞƌĂƚŝŽŶĂƚŐĞĂƌĚĞƐŝŐŶŝŶŐ͘
dŽŽƚŚϮϵ
dŽŽƚŚϰϯ
− 11 −
dŽŽƚŚϭϰ
ϭ͘ϬdžϭϬΔϲ
zŽƵĐĂŶƌĞĐŽŐŶŝnjĞƚŚĞŝŶŝƚŝĂƚŝŽŶŽĨĐƌĂĐŬĂƚƚŚĞƵƉƉĞƌ
ďŽƵŶĚĂƌLJŽĨƚŚĞƐŽĨƚĞŶĞĚďĂŶĚŽĨĚĞĚĞŶĚƵŵŵĂƚĞƌŝĂů͕
ďŽƚŚĂƚůĞĨƚƚŽŽƚŚƐŝĚĞĞĚŐĞĂŶĚĂůƐŽĂƚƚŚĞƚŽŽƚŚŵŝĚĚůĞ͘
ϭ͘ϯdžϭϬΔϲ
ĨƚĞƌƐŽŵĞůŽĂĚŝŶŐĐLJĐůĞƐ͕ƚŚĞĐƌĂĐŬĨƌŽŵƚŚĞƚŽŽƚŚůĞĨƚƐŝĚĞĚĞǀĞůŽƉĞĚŝƚƐĞůĨ͘
^ŽŽŶĂĨƚĞƌǁĂƌĚƚŚŝƐƚŽŽƚŚǁĂƐďƌŽŬĞŶ͘
dŚĞƌŽƵŐŚǀŝĞǁŽĨƚŚĂƚďƌĞĂŬĂŐĞůŽŽŬƐƚŚŽƵŐŚ͕ĂƐŝĨƚŚĞƚŽŽƚŚǁŽƵůĚďƌĞĂŬ
ĂĨƚĞƌƚŽŽƚŚďĞŶĚŝŶŐƐƚƌĞŶŐƚŚƚŚĞŽƌLJŽĨĐĂŶƚŝͲůĞǀĞƌ͕ƚŚĞƚƌĂĚŝƚŝŽŶĂůƚĂƵŐŚƚ͘
dŚŝƐŝƐďĞĐĂƵƐĞƚŚĂƚƚŚĞĐƌĂĐŬƌƵŶƐĂůŽŶŐƚŚĞƐĞĐƚŝŽŶŽĨƚŚĞŵĂdžŝŵƵŵƐƚƌĞƐƐ
ŝŶĚƵĐĞĚ͘dŚĂƚŽƵƚůŽŽŬŚŝĚĞƐƚŚĞƚƌƵƚŚĨƌŽŵƉĞŽƉůĞ͛ƐĞLJĞ͘
KŶĞƚLJƉŝĐĂůŵŽĚĞŽĨƚŽŽƚŚĨůĂŶŬĨĂŝůƵƌĞƚŚĂƚĚĞƉĞŶĚƐŽŶƌƵŶŽĨŽƉĞƌĂƚŝŽŶĂůƚŝŵĞ
dŚĞĨŽůůŽǁŝŶŐƉŝĐƚƵƌĞĚĞĂůƐǁŝƚŚĚƌŝǀĞŶǁŚĞĞů͘
/ƚĞŵƐŝŶƉŝŶŬƚŚŝĐŬďƌĂĐŬĞƚĐŽŶĐĞƌŶƐŵĞƐŚŝŶŐŐĞĂƌƉĂŝƌ͘
hŶĞǀĞŶůŽĂĚ
ĚŝƐƚƌŝďƵƚŝŽŶΎ
ŶĞĂƌƚŽŽƚŚƐŝĚĞ
dŽŽƚŚƐŝĚĞĞŶĚ
ŽĨĂĐƵƚĞĂŶŐůĞ
dŽŽƚŚƐŝĚĞ
ĞĚŐĞĐŽŶƚĂĐƚ
ĞĐƌĞĂƐĞŽĨ
ƚŽŽƚŚƐƚŝĨĨŶĞƐƐ
/ŵƉƌŽƉĞƌĚŝƐƚƌŝďƵƚŝŽŶ
ŽĨĨůĂƐŚƚĞŵƉĞƌĂƚƵƌĞ
dƌŽĐŚŽŝĚĂůŝŶƚĞƌĨĞƌĞŶĐĞ
sĞƌLJůŽĐĂůƐůŝƉĂƚƐŝĚĞ
ďŽƵŶĚĂƌLJĐŽŶƚĂĐƚ
sĞƌLJůŽĐĂů
ŚĞĂǀLJůŽĂĚŝŶŐ
>ŽĐĂůďĞŶĚŝŶŐΘ
ƐŚĞĂƌŝŶŐĚĞĨŽƌŵĂƚŝŽŶ
ŽĨƚŽŽƚŚ
>ĂƌŐĞĐŽŶƚĂĐƚ
ƉƌĞƐƐƵƌĞ
džĐĞƐƐƐƵďƐƵƌĨĂĐĞ
ƐŚĞĂƌŝŶŐƐƚƌĞƐƐ
^ŝĚĞǁĂůůƌĂƉƚƵƌĞ
ŽĨƚŽŽƚŚ
ƌĂĐŬŝŶŝƚŝĂƚŝŽŶŽŶ
ƐŝĚĞĐŚĂŵĨĞƌĞĚ
ƐƵƌĨĂĐĞ
Ύ>ĂƌŐĞĂŵŽƵŶƚŽĨůĞĂĚĨŽƌŵ
ĐŽƌƌĞĐƚŝŽŶŽĨĐƌŽǁŶŝŶŐŚĂƐĂůƐŽƚŚĞ
ƐĂŵĞĞĨĨĞĐƚ͘
ŝƌĞĐƚĐĂƵƐĞŽĨĚĂŵĂŐĞ
DĂƚĞƌŝĂůƐŽĨƚĞŶŝŶŐ͕
ZĞůĞĂƐĞŽĨƌĞƐŝĚƵĂů
ƐƚƌĞƐƐ͕ZĞĚƵĐƚŝŽŶ
ŽĨĚƵƌĂďůĞƉŽƚĞŶƚŝĂů
DĂƚĞƌŝĂů
ĨĂƚŝŐƵĞ͕
ƉŝƚƚŝŶŐ
WƌŽĚƵĐƚŝŽŶŽĨ
ǁĞĂƌĚĞďƌŝƐ
,ŝŐŚƐƵƌĨĂĐĞ
ƚĞŵƉĞƌĂƚƵƌĞ
dŚŝŶŽŝůĨŝůŵ
ƚŚŝĐŬŶĞƐƐ
/ŶƚƌƵƐŝŽŶŽĨǁĞĂƌ
ĚĞďƌŝƐ ďĞƚǁĞĞŶ
ŵĂƚŝŶŐƚŽŽƚŚ
ĨůĂŶŬƐ
WůĂƐƚŝĐ
ĚĞĨŽƌŵĂƚŝŽŶ
ƌĂĐŬ
ƉƌŽƉĂŐĂƚŝŽŶ
ďƌĂƐŝǀĞΘ
ĂĚŚĞƐŝǀĞǁĞĂƌ
^ƵƌĨĂĐĞ
ĚĞƚĞƌŝŽƌĂƚŝŽŶ
dŽŽƚŚ
ďƌĞĂŬĂŐĂ
^ƚĂƚĞŝŶƉƌŽŐƌĞƐƐͬ/ŶĨůƵĞŶĐĞĨĂĐƚŽƌ
&ŝŶĂůŵŽĚĞŽĨĨĂŝůƵƌĞ
ƚƐŽŵĞůŽǁĞƌƉůĂĐĞƐŝŶƚŚŝƐƉŝĐƚƵƌĞ͕ƚŚĞ^sŝƐƚŚŽƵŐŚƚƚŽďĞƚŚĞŵĂŝŶŝŶĨůƵĞŶĐŝŶŐĨĂĐƚŽƌǁŚLJ
ƚŚĞŝƚĞŵŶĞdžƚƚŽƚŚĞƉŝŶŬƚŚŝĐŬďƌĂĐŬĞƚĐŽŶĐĞƌŶƐŵĂŝŶůLJǁŝƚŚƚŚĞĚƌŝǀĞŶǁŚĞĞů͘
− 12 −
Progress of tooth flank failure by IAE gear endurance test
The rag-wear develops in the direction of larger contact stress and violates the cutin region inside trochoidal interference zone. As the result, the depth of cut-in
region becomes narrower.
Tooth flank out side of rag-wear on the middle of tooth flank near pitch line is
polished under high contact stress to become mirror like.
At the boundary between the polished flank near pitch line and rag-worn region,
the tooth flank curvature has inflection point. Pitting or spalling failure often occurs
there due to the high contact stress. FOD also often occurs there.
The tooth flank material suffers considerable surface and subsurface fatigue damage.
Mirror like polished
Contact
pressure
Slipping region
Inflection point of tooth
flank curvature (vertical
line position in this
picture)
Pitch point
Region of rag-wear
Cut-in region
Progress of
subsurface crack
Root
Position of
max.damage
Dedendum
The durable-capability of tooth flank material changes with run of gear operation,
mainly due to the surface temperature effect induced.
Tooth flank damage is often the result of the behavior of positive feed-back system
of surface failure whose factor is ESV and trochoidal interference.
Fin
KBGT
Kubo’s Gear Technologies
− 13 −
Crush of wear debris by tooth engagement, and
tooth flank damage
A. KUBO, Prof.hc.Dr.Eng.
[email protected]
Research Institute for Applied Sciences; Ooicho 49, Kyoto 606-8202 Japan
http://www.rias.or.jp/
ͳ
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‘ˆ…”—•Š‘ˆ™‡ƒ”†‡„”‹•‘‰‡ƒ”ˆƒ‹Ž—”‡Ǥ
ʹ
Ї™‡™ƒ–…Š–‘‘–ŠˆŽƒ•‘ˆŠ‡ƒ˜‹Ž›‘’‡”ƒ–‡†‰‡ƒ”• —†‡” •‘’Š‹•–‹…ƒ–‡† Ž‹‰Š–‹‰ǡ
™‡ ˆ‹† ‰‡‡”ƒŽŽ› •‘ ƒ› –”ƒ…‡• ‘ˆ …”—•Š ‘ˆ ˆ‘”‡‹‰ ‘„Œ‡…–•Ǥ ‹‰Ǥͳ •Š‘™• •—…Š ƒ
‡šƒ’އǣ –‘‘–Š ˆŽƒ ‘ˆ ’Žƒ‡– ‘ˆ ˆ‹ƒŽ †”‹˜‡ ‘ˆ Žƒ† …‘•–”—…–‹‘ ƒ…Š‹‡Ǥ Š‘—‰Š
’Žƒ•–‹… ‹†‡–ƒ–‹‘ ƒ† •—”ˆƒ…‡ ‹””‡‰—Žƒ”‹–› ‘ˆ –‘‘–Š ˆŽƒ ‹• ‡’Šƒ•‹œ‡† „› Ž‹‰Š–‹‰
–‡…А‹“—‡ƒ–’Š‘–‘‰”ƒ’Šǡ™‡ˆ‹†ǡ–Ї”‡‘……—””‡†•‘•–”‘‰‹–”—•‹‘‘ˆˆ‘”‡‹‰‘„Œ‡…–•
ƒ†‡‰ƒ‰‹‰–‘‘–ŠˆŽƒ•…”—•ЖЇ†—”‹‰ƒ…Š‹‡‘’‡”ƒ–‹‘ǤЇ‘•–‘ˆ ˆ‘”‡‹‰
‘„Œ‡…–•ƒ”‡™‡ƒ”†‡„”‹•‰‡‡”ƒ–‡†„›–Ї‰‡ƒ”‡•Š‹‰ǤŠ‹•‹•‘–ƒ•’‡…‹ƒŽ…ƒ•‡ǡ„—–‹•
…‘‘•–ƒ–—•‹‘”ƒŽ‘’‡”ƒ–‹‘‘ˆ‰‡ƒ”•‹ƒ…–—ƒŽŠ‡ƒ˜›—•ƒ‰‡Ǥƒ•‡Šƒ”†‡‡†–‘‘–Š
ˆŽƒ†‡ˆ‘”•’Žƒ•–‹…ƒŽŽ›ƒ†‹••…”ƒ–…Ї†Ǥ
‹‰Ǥͳ‘‘–ŠˆŽƒ…”—•Š‹‰ˆ‘”‡‹‰‘„Œ‡…–•ȋ‹ƒŽ†”‹˜‡‰‡ƒ”•‘ˆ„—ŽŽ†‘œ‡”Ȍ
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͵
‘‡–‹‡•ǡŒ—†‰‹‰ˆ”‘–Ї”‡•—Ž–•‘ˆ•–ƒ†ƒ”†…ƒŽ…—Žƒ–‹‘ˆ‘”–‘‘–ŠˆŽƒ†—”ƒ„‹Ž‹–›ǡ
˜‡”›’‡…—Ž‹ƒ”„—–•‡”‹‘—•–‘‘–ŠˆŽƒˆƒ‹Ž—”‡‘……—”•‹’”ƒ…–‹…ƒŽ‘’‡”ƒ–‹‘‘ˆ‰‡ƒ”•Ǥ‹‰Ǥʹ
•Š‘™•‘‡‡šƒ’އ‘ˆ•’ƒŽŽ‹‰ˆ‘—†‹‰‡ƒ”„‘š‘’‡”ƒ–‹‰™‹–Š‘—–•–‘’’‹‰—†‡”˜‡”›
•‡˜‡”‡ƒ–‘•’Ї”‹…–‡’‡”ƒ–—”‡…‘†‹–‹‘ǣŽ›‘‡–‘‘–Š‘ˆ†”‹˜‹‰’‹‹‘Šƒ••‡˜‡”‡
ˆƒ‹Ž—”‡ƒ†ƒŽŽ‘–Ї”–‘‘–ŠˆŽƒ•‘ˆ–Ї•ƒ‡‰‡ƒ”ƒ”‡Ǥ–‘‘–ŠˆŽƒǡƒ›•‹‰•‘ˆ
•—”ˆƒ…‡ ˆƒ‹Ž—”‡ …ƒ‘– „‡ ˆ‘—†Ǥ – ‹• ‘– ”ƒ–‹‘ƒŽ ˆ”‘ –Ї •‡•‡ ‘ˆ …ƒŽ…—Žƒ–‹‰ Ž‘ƒ†
…ƒ””›‹‰…ƒ’ƒ…‹–›‘ˆŠ‹‰Š’”‡…‹•‹‘‰‡ƒ”•–Šƒ–‘Ž›‘‡–‘‘–ŠˆŽƒ•—ˆˆ‡”••—…Šƒ•‡˜‡”‡
•’ƒŽŽ‹‰‘”…ƒ•‡Ǧ…”ƒ•Š‹‰ˆƒ‹Ž—”‡Ǥ
‹‰Ǥʹ‡˜‡”‡•’ƒŽŽ‹‰ˆ‘—†‘Ž›‘ƒ–‘‘–ŠˆŽƒǡƒŽŽ‘–Ї”ˆŽƒ•‘ˆ–Š‹•’‹‹‘ƒ”‡
‹‰Ǥ͵ ’ƒŽŽ‹‰ ‘ –‘‘–Š ˆŽƒ ‡ƒ” •‹†‡ …‘–ƒ…– Ž‹‹– ‘ˆ ƒ –‘‘–Š ™‹–Рއƒ† ˆ‘”
‘†‹ˆ‹…ƒ–‹‘‘ˆ…”‘™‹‰
–Ї…ƒ•‡‘ˆˆ‹‰Ǥ͵ǡ•’ƒŽŽ‹‰‘……—””‡†‘–‘‘–ŠˆŽƒ‡ƒ”‹–•”‹‰Š–•‹†‡‡†ǤЇ‰‡ƒ”‹•
…ƒ•‡ Šƒ”†‡‡† ƒ† •Š‘– ’‡‡‡†Ǥ Ї –‘‘–Рއƒ† ˆ‘” Šƒ• …‘•‹†‡”ƒ„އ ƒ‘—– ‘ˆ
…”‘™‹‰ ‘†‹ˆ‹…ƒ–‹‘Ǥ Ї …‘–ƒ…– •–”‡•• ‹†—…‡† ƒ– –Šƒ– ’Žƒ…‡ ‹• •—”‡Ž› Ž‘™ ‹
…‘’ƒ”‹•‘™‹–Š–Šƒ–ƒ––Ї‹††Ž‡‘ˆ–‘‘–ŠˆŽƒǤЇ–‘‘–Š„‡ƒ”‹‰’ƒ––‡”•Š‹ˆ–•ƒŽ‹––އ
–‘–Ї”‹‰Š–•‹†‡ǡ„—––Ї•‹†‡‡†‰‡…‘–ƒ…–•–ƒ›•‹•‹†‡Ž‡˜‡ŽǤ
‘–Š‡šƒ’Ž‡••Š‘™ǡ‹ˆ–Їˆƒ‹Ž‡†–‘‘–ŠŠƒ•‘•’‡…‹ƒŽ…‘†‹–‹‘–Šƒ–‘–Ї”–‡‡–І‘‡•
‘– Šƒ˜‡ǡ •—…Š ˆƒ‹Ž—”‡ …ƒ•‡• ‹†‹…ƒ–‡ –Šƒ– –‘†ƒ›ǯ• –‘‘–Š ˆŽƒ †—”ƒ„‹Ž‹–› …ƒŽ…—Žƒ–‹‘
‡–Š‘†‹•‘–”‡Ž‹ƒ„އǤЇ–‘‘–Š–Šƒ–•—ˆˆ‡”•—‹“—‡ˆƒ‹Ž—”‡—•––Ї”‡ˆ‘”‡Šƒ˜‡•‘‡
•’‡…‹ƒŽ…‘†‹–‹‘–Šƒ–‘–Ї”–‡‡–І‘‘–Šƒ˜‡Ǥ‘••‹„އ•’‡…‹ƒŽ…‘†‹–‹‘—‹“—‡ƒ––Šƒ–
–‘‘–Š‹•ͳǤš‹•–‡…‡‘ˆƒ„‘”ƒŽ’‹–…Š‹–‘‘–Š•’ƒ…‹‰ǡʹǤƒ–‡”‹ƒŽ†‡ˆ‡…–ǡ͵Ǥ”—•Š‘ˆ
‹–”—†‹‰ ˆ‘”‡‹‰ ‘„Œ‡…–•Ǥ Ї …‘†‹–‹‘ ͳǤ ‹• –Š‘—‰Š– –‘ „‡ ‘– ’‘••‹„އ ˆ”‘ –Ї
ƒ…Š‹‹‰ƒ……—”ƒ…›‘ˆ–Ї‰‡ƒ”ǤЇ…‘†‹–‹‘ʹǤ‹•ƒŽ•‘Šƒ”†Ž›”‡ƒŽ‹•–‹…ǡ„‡…ƒ—•‡‹ˆ–Ї
ƒ–‡”‹ƒŽ‘ˆ–Šƒ–’”‘†—…–‹‘Ž‘–Šƒ•†‡ˆ‡…–•ǡ—…А—„‡”‘ˆ‘–Ї”—‹–•—•–Šƒ˜‡–Ї
•ƒ‡‹†‘ˆ–”‘—„އǤЇ’”‘•’‡…–‹˜‡…ƒ—•‡Ž‘‘•–‘„‡–Ї‹–‡͵Ǥ
Ͷ
Ž‘•‡‹˜‡•–‹‰ƒ–‹‘‘ˆ–ЇˆŽƒ‹‰’ƒ”–‘ˆˆ‹‰Ǥ͵ǡƒ”—„„‡†ƒ††”ƒ‰‰‡†–”ƒ…‡‘ˆˆ‘”‡‹‰
‘„Œ‡…–™ƒ•ˆ‘—†ˆ”‘–”‘…Š‘‹†ƒŽ‹–‡”ˆ‡”‡…‡œ‘‡–‘–Їƒ’‡š’‘‹–‘ˆ–Š‹•ˆŽƒ‹‰Ǥ‡
…ƒƒŽ•‘ˆ‹†•‘‡•…”ƒ–…Š‹‰ƒ†’Žƒ•–‹…‹†‡–ƒ–‹‘‘–Š‹•†‡†‡†—ˆŽƒǡ…ˆǤˆ‹‰ǤͶǤ
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‹‰ǤͶ”ƒ‰‘ˆˆ‘”‡‹‰‘„Œ‡…–‹‰Ǥͷ”ƒ‰ƒ†…”—•Š‘ˆˆ‘”‡‹‰‘„Œ‡…––‘ƒ‡•’ƒŽŽ
‹‰Ǥͷ•Š‘™•ƒ‘–Ї” ‡šƒ’އǣ ”ƒ…‡ ‘ˆ †”ƒ‰‰‹‰ ‘ˆ ˆ‘”‡‹‰ ‘„Œ‡…– ‹• ‘„•‡”˜‡† ˆ”‘
‘—–•‹†‡‘ˆ–‘‘–Š…‘–ƒ…–”‡‰‹‘‘–‘‘–Šˆ‹ŽŽ‡–ǤЇ‹–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–™ƒ•…”—•Ї†
ƒ– –Ї ƒ’‡š ’‘•‹–‹‘ ‘ˆ ˆŽƒ‹‰ –‘ †‡•–”‘› –‘‘–Š ˆŽƒǤ Ї•‡ „‘–Š ‡šƒ’އ• •Š‘™ǡ
‹–”—•‹‘‘ˆˆ‘”‡‹‰‘„Œ‡…–•ƒ†…”—•Š‹‰–Ї‹•–Ї•—•’‡…–‘ˆ–Š‹•ˆƒ‹Ž—”‡Ǥ
Ї™‡”—†‹•…ƒ…Š‹‡™‹–Š…ƒ•‡Šƒ”†‡‡†ƒ†˜‡”›•‘‘–ŠŽ›‰”‘—†ƒ†‡
ˆ”‘‡š…‡ŽŽ‡–Š‹‰Š•–”‡‰–Љ‡ƒ”ƒ–‡”‹ƒŽ—†‡”‰‘‘†ƒ†…އƒŽ—„”‹…ƒ–‹‰…‘†‹–‹‘ǡ
–Ї‡†—”ƒ…‡Ž‹‹–”‡ƒ…Ї•…ƒǤ͵ǤͷȂͶǤͲ
ƒǤ•—…Ї†—”ƒ…‡–‡•–ǡ™‡…ƒˆ‹†™Š‹–‡
’Šƒ•‡ǡ„—––‡”ˆŽ›ǡˆ‹•Ї›‡‡–…Ǥ‹–Ї•—„•—”ˆƒ…‡ ‘ˆ –Ї –‡•–‡† ”‘ŽŽ‡”Ǥ Šƒ– ‹†‹…ƒ–‡• –Ї
•–”‡•••–ƒ–‡Šƒ•”‡ƒ…Ї†”‡ƒŽŽ‹‹–‘ˆ‡†—”ƒ…‡ˆ”‘–Ї…‘•‹†‡”ƒ–‹‘‘ˆ‡–ƒŽŽ—”‰‹…ƒŽ
‘„•‡”˜ƒ–‹‘Ǥ–Ї‘–Ї”Šƒ†–ЇЋ‰Š‡•–‡”–œ‹ƒ…‘–ƒ…–•–”‡••‡’Ž‘›‡†‹’”ƒ…–‹…ƒŽ
‰‡ƒ”†‡•‹‰‹•…ƒǤʹ
ƒǤЇ”‡‹•‘”‡–Šƒ͵–‹‡•†‹ˆˆ‡”‡…‡‹–”ƒ•‹––‹‰–‘”“—‡ǡ
™Š‡ –Ї —Ž–‹ƒ–‡ Ž‹‹– ‘ˆ –Ї ‡†—”ƒ…‡ ‘ˆ –Ї ƒ–‡”‹ƒŽ ‹• †‡…‹†‡† „› –Ї ‹†—…‡†
…‘–ƒ…–•–”‡••˜ƒŽ—‡ƒˆ–‡”•–ƒ†ƒ”†…ƒŽ…—Žƒ–‹‘‡–Š‘†ˆ‘”•—”ˆƒ…‡ †—”ƒ„‹Ž‹–›Ǥ Ї ƒ
„”ƒ˜‡‰‡ƒ”†‡•‹‰‡”•‡––Їދ‹–‹‰…‘–ƒ…–•–”‡••˜ƒŽ—‡‘˜‡”͵
ƒƒ–‰‡ƒ”†‡•‹‰—•‹‰
…‘˜‡–‹‘ƒŽ…ƒŽ…—Žƒ–‹‰‡–Š‘†ˆ‘”Ž‘ƒ†…ƒ””›‹‰…ƒ’ƒ…‹–›‘ˆ‰‡ƒ”•ǡЇ™‹ŽŽ•—”‡Ž›Šƒ˜‡
–”‘—„އ‘ˆ‰‡ƒ”ˆƒ‹Ž—”‡•‘‘‹’”ƒ…–‹…ƒŽ‰‡ƒ”‘’‡”ƒ–‹‘ǤЇ“—‡•–‹‘‹•ǡ™Šƒ–‹•–Ї…ƒ—•‡
‘ˆ –Š‹• „‹‰ †‹ˆˆ‡”‡…‡ „‡–™‡‡ Žƒ„‘Ǧ–‡•–‹‰ ”‡•—Ž– —•‹‰ •‹’އ ƒ† –Ї ”‡•—Ž–• ‘ˆ
’”ƒ…–‹…ƒŽ‘’‡”ƒ–‹‘‘ˆ‰‡ƒ”•ǤЇ”‡…‘—ކ„‡ƒ›•—•’‡…–•ˆ‘”–Š‹•„‹‰†‹ˆˆ‡”‡…‡ƒ†
‘‡‘ˆ–Ї‹•‹–”—•‹‘‘ˆˆ‘”‡‹‰‘„Œ‡…–•„‡–™‡‡‡‰ƒ‰‹‰–‘‘–ŠˆŽƒ•Ǥ
‹‰Ǥ͸”—•Š‘ˆˆ‘”‡‹‰‘„Œ‡…–ƒ††ƒƒ‰‡‘ˆ–‘‘–ŠˆŽƒ
‡ƒ˜‹Ž›Ž‘ƒ†‡†‰‡ƒ”•—•—ƒŽŽ›•—ˆˆ‡”••‘‡ƒ‘—–‘ˆ–”‘…Š‘‹†ƒŽ‹–‡”ˆ‡”‡…‡†—‡–‘
„‹‰ ‡Žƒ•–‹… –‘‘–Š †‡ˆ‘”ƒ–‹‘ „› –”ƒ•‹––‹‰ Ž‘ƒ†ǡ –‘‘–Рއƒ† ˆ‘” ‘†‹ˆ‹…ƒ–‹‘ ‘ˆ
…”‘™‹‰ƒ†—‡˜‡ƒ†’ƒ”–‹ƒŽŽ›•–”‘‰…‘–ƒ…–‡ƒ”–‘‘–Š•‹†‡‡†ǡ‡š‹•–‡…‡‘ˆ’‹–…Š
‡””‘” ƒ† —‡˜‡ –‘‘–Š ˆ‘” †‡˜‹ƒ–‹‘ ƒ– ‡ƒ…Š –‘‘–Š ‡–…Ǥ ”‘…Š‘‹†ƒŽ ‹–‡”ˆ‡”‡…‡
‰‡‡”ƒ–‡•…—–Ǧ‹”‡‰‹‘‹•‹†‡‹–‡”ˆ‡”‡…‡œ‘‡Ǥ–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–•ǡ™‡ƒ”†‡„”‹•ǡ
…‘ŽŽ‹†‡™‹–ŠȋͳȌ–Ї‹ˆŽ‡…–‹‘’‘‹–‘ˆ–‘‘–ŠˆŽƒ…—”˜ƒ–—”‡„‡–™‡‡•Ž‹†‹‰”‡‰‹‘ƒ†
…—–Ǧ‹”‡‰‹‘‹•‹†‡–”‘…Š‘‹†ƒŽ‹–‡”ˆ‡”‡…‡ǡƒ†ȋʹȌƒ‰ƒ‹•––Ї–‘’‘ˆ”‹†‰‡‘ˆ•—”ˆƒ…‡
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”‘—‰Š‡••‡Ǥ‰Ǥ‘ˆ‰”‹†‹‰ ƒ”ǡ …ˆǤ ˆ‹‰Ǥ͸Ǥ – –Šƒ– …”—•Š ‘ˆ ˆ‘”‡‹‰ ‘„Œ‡…–• ™‹–Š –‘‘–Š
ˆŽƒ•ǡ•—„•—”ˆƒ…‡…”ƒ…‘ˆ–‡‹‹–‹ƒ–‡•–Ї”‡ƒ†‹–’”‘…‡‡†• —’™ƒ”† ‹•‹†‡ –Ї –‘‘–Šǡ
—•—ƒŽŽ›„‡–™‡‡…‘”‡ƒ†…ƒ•‡‘ˆ…ƒ”„—”‹œ‡†ƒ†Šƒ”†‡‡†‰‡ƒ”–‘‘–ŠǤ‹‰Ǥ͹•Š‘™•ƒ
‘„•‡”˜‡† ’‹––‹‰ ‹‹–‹ƒ–‹‘ †—‡ –‘ –Ї•‡ –™‘ ”‡ƒ•‘• –‘ ‹†‹…ƒ–‡ –Ї ’”‘•’‡”‹–› ‘ˆ –Ї
‘†‡Ž‘ˆˆ‹‰Ǥ͸Ǥˆ…‘—”•‡ǡ•—”ˆƒ…‡ˆƒ–‹‰—‡ƒ–•‘‡ –‘’• ‘ˆ •—”ˆƒ…‡ ”‘—‰Š‡•• ƒ•’‡”‹–›
…‘—ކ„‡–Ї…ƒ—•‡‘ˆ‹…”‘Ǧ’‹––‹‰Ǥ
‹‰Ǥ͹‹ˆˆ‡”‡–‹†‘ˆ’‹––‹‰‹‹–‹ƒ–‡††—‡–‘…”—•Š‘ˆ™‡ƒ”†‡„”‹•
Ї™‡•‡‡–Ї–‘‘–ŠˆŽƒ‘ˆ–”ƒ…–‹‘‰‡ƒ”‘ˆ’‡”•‘ƒŽ…ƒ”†”‹˜‡ƒˆ–‡”‡†—”ƒ…‡–‡•–ǡ
™‡‘ˆ–‡Œ—†‰‡‡ƒ•‹Ž›ǡ‹–Ž‘‘•Ǥ—–™Š‡–Їދ‰Š–‹‰‹•™‡ŽŽƒ†Œ—•–‡†–‘‡’Šƒ•‹œ‡
–Ї•–ƒ–‡‘ˆ•—”ˆƒ…‡‹””‡‰—Žƒ”‹–›ǡ™‡…ƒ—•—ƒŽŽ›•‡‡•‘—…Š•…”ƒ–…Š‹‰ǡ–”ƒ…‡‘ˆ…”—•Š‘ˆ
ˆ‹‡™‡ƒ”†‡„”‹•‘˜‡”™Š‘އ–‘‘–ŠˆŽƒǤ‹‰Ǥͺ•Š‘™•ƒ–›’‹…ƒŽˆƒ‹Ž—”‡‘„•‡”˜‡†ƒ––Ї
„‡‰‹‹‰’ƒ”–‘ˆ–‘‘–Ї‰ƒ‰‹‰‘ˆ•–”‘‰Š‡Ž‹…ƒŽ†”‹˜‹‰’‹‹‘Ǥ•‹†‡–Ї…—–Ǧ‹”‡‰‹‘
‹‰Ǥͺ–ƒ–‡‘ˆ’‹––‹‰ƒ†•’ƒŽŽ‹‰‹‹–‹ƒ–‡††—‡–‘…”—•Š‘ˆ™‡ƒ”†‡„”‹•
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‹‰Ǥͻ–‘‘–Š–‹’…Š‹’’‹‰†—‡–‘…”—•Š‘ˆ™‡ƒ”†‡„”‹•
‘ˆ–”‘…Š‘‹†ƒŽ‹–‡”ˆ‡”‡…‡œ‘‡ǡ‹…”‘’‹––‹‰†—‡–‘ ƒ–‡”‹ƒŽ ˆƒ–‹‰—‡ ‹• ‘„•‡”˜‡†Ǥ Ї
‹‹–‹ƒ–‹‘ ‘ˆ „‹‰ •’ƒŽŽ‹‰ ‹• –Š‘—‰Š †—‡ –‘ –Ї …”—•Š ‘ˆ ‹–”—†‹‰ ˆ‘”‡‹‰ ‘„Œ‡…– ƒ– –Ї
‹ˆŽ‡…–‹‘’‘‹–‘ˆ–‘‘–ŠˆŽƒǡƒ––ЇŒ‘‹‹‰’‘‹–‘ˆ…—–Ǧ‹ ƒ† •Ž‹’’‹‰ ”‡‰‹‘ ‹•‹†‡
–‘”‘…Š‘‹†ƒŽ‹–‡”ˆ‡”‡…‡œ‘‡Ǥ
ˆ‹‰Ǥͻ–Ї’‹––‹‰Ž‹‡ˆƒ‹Ž—”‡ƒ––Ї–‘‘–Š–‹’‘—’’‡””‹‰Š–’ƒ”–‘ˆ–Ї’Š‘–‘‰”ƒ’Š‹•
’‡”Šƒ’•‘––Їˆƒ‹Ž—”‡†—‡–‘ƒ–‡”‹ƒŽˆƒ–‹‰—‡Ǥ ‘™™ƒ”† ˆ”‘ –Šƒ– ˆƒ‹Ž—”‡ ›‘— …ƒ
‘„•‡”˜‡ –Ї –”ƒ…‡ ‘ˆ ”—„„‹‰ ƒ† †”ƒ‰‰‹‰ ‘ˆ ˆ‘”‡‹‰ ‘„Œ‡…– ‘ –‘‘–Š ˆŽƒǤ —”‡Ž› ƒ
ˆ‘”‡‹‰‘„Œ‡…–‘ˆ …‘•‹†‡”ƒ„އ •‹œ‡ ‹–”—†‡† „‡–™‡‡ –Ї ‡‰ƒ‰‹‰ –‘‘–Š ˆŽƒ• ƒ† ‹–
”—„„‡† –Ї –‘‘–Š ˆŽƒ —†‡” Š‹‰Š ’”‡••—”‡Ǥ – –Ї ‘‡– –Šƒ– –Ї ˆ‘”‡‹‰ ‘„Œ‡…–
’ƒ••‡†‘˜‡”–Ї–‘‘–Š–‹’‡†‰‡ǡ–Ї‡†‰‡™ƒ•”—’–—”‡†ƒ†Šƒ•ƒ†‡…Š‹’’‹‰Ǥ
‹‰ǤͳͲƒ”–‹ƒŽ–‘‘–Š „”‡ƒƒ‰‡ ƒ• ƒ ”‡•—Ž– ‘ˆ ˆƒ‹Ž—”‡ –”‹‰‰‡”‡† „› –Ї …”—•Š ‘ˆ
‹–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–ƒ––Ї‹ˆŽ‡…–‹‘’‘‹–‘ˆ–‘‘–ŠˆŽƒ…—”˜ƒ–—”‡
ƒ–„‡‰‹‹‰’‘‹–‘ˆ…—–Ǧ‹”‡‰‹‘‹•‹†‡–”‘…Š‘‹†ƒŽ‹–‡”ˆ‡”‡…‡
‹‰—”‡ͳͲ•Š‘™•‘‡ˆƒ–ƒŽ”‡•—Ž–‹†—…‡†„›•’ƒŽŽ‹‰–Šƒ–‹•–”‹‰‰‡”‡†„›–Ї…”—•Š‘ˆ
™‡ƒ”†‡„”‹•ƒ‰ƒ‹•––Ї‹ˆŽ‡…–‹‘’‘‹–‘ˆ–‘‘–ŠˆŽƒ…—”˜ƒ–—”‡ƒ––ЇŒ‘‹‹‰’‘‹–‘ˆ
•Ž‹’’‹‰”‡‰‹‘ƒ†…—–Ǧ‹”‡‰‹‘‹•‹†‡–”‘…Š‘‹†ƒŽ‹–‡”ˆ‡”‡…‡ œ‘‡ǣ Ї •—„•—”ˆƒ…‡
…”ƒ…’”‘…‡‡†•—’™ƒ”†„‡–™‡‡…ƒ•‡ƒ†…‘”‡„‘—†ƒ”›ƒ†”‡ƒ…Ї•ˆ‹ƒŽŽ›–‘–Ї„ƒ…
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ˆŽƒ‘ˆ–Ї–‘‘–ŠǤЇ–Ї…”ƒ…‡†’ƒ”–‹•ˆƒŽŽ‡Ǧ‘ˆˆǤ‡•‹†‡•–Ї„‹‰–”‹ƒ‰—Žƒ”•’ƒŽŽ‹‰ǡ
ƒ› ’‹––‹‰ ƒ”‡ ‘„•‡”˜‡† ƒ– –Ї ‹ˆŽ‡…–‹‘ Ž‹‡ „‡–™‡‡ •Ž‹’’‹‰ ƒ† …—–Ǧ‹ ”‡‰‹‘
‹•‹†‡ –”‘…Š‘‹†ƒŽ ‹–‡”ˆ‡”‡…‡Ǥ ‘–‡ –Ї ‘„•…—”‡ •Šƒ’‡ ‘ˆ –Š‘•‡ ’‹––‹‰ǣ ‹– ‹• “—‹–‡
†‹ˆˆ‡”‡–ˆ”‘–Їˆ‹‰—”‡‘ˆˆƒ–‹‰—‡’‹––‹‰‘„•‡”˜‡†„›–Ї‡Ǥ‰Ǥ”‘ŽŽ‡”Ǧ–‘Ǧ”‘ŽŽ‡”‡†—”ƒ…‡
–‡•–‘ˆ‰‡ƒ”ƒ–‡”‹ƒŽ—†‡”…އƒŽ—„”‹…ƒ–‹‰…‘†‹–‹‘Ǥ‘—…ƒ•‡‡ƒŽ•‘–Ї•ƒ‡•–ƒ–—•
‘ˆ‘„•…—”‡ˆ‹‰—”‡‘ˆ’‹––‹‰‹ˆ‹‰Ǥ͹Ǥ—†‰‹‰ˆ”‘ –Šƒ– ‘„•…—”‡ ˆ‹‰—”‡ ‘ˆ –Š‘•‡ ’‹––‹‰ǡ
–Ї›—•–„‡‹‹–‹ƒ–‡†„›…‘ŽŽ‹•‹‘ƒ†…”—•Š‘ˆˆ‘”‡‹‰‘„Œ‡…–•ƒ––Šƒ–’ƒ”–Ǥ
ͷ
‹‰Ǥͳͳ•Š‘™•ƒ‡šƒ’އ‘ˆ•’ƒŽŽ‹‰‹‹–‹ƒ–‡†„›–Ї …”—•Š ‘ˆ ‹–”—†‹‰ ™‡ƒ” †‡„”‹•Ǥ
‘™™ƒ”†ˆ”‘–Їƒ’‡š‘ˆ•’ƒŽŽ‡†’ƒ”–‘–‘‘–ŠˆŽƒǡ›‘—…ƒ‘„•‡”˜‡–Ї–”ƒ…‡‘ˆ
”—„„‹‰ ƒ† †”ƒ‰‰‹‰ ‘ˆ ‹–”—†‹‰ ˆ‘”‡‹‰ ‘„Œ‡…–Ǥ ”—•Š ‘ˆ –Š‘•‡ ˆ‘”‡‹‰ ‘„Œ‡…–•
ȋ’‡”Šƒ’•™‡ƒ”†‡„”‹•Ȍ‹‹–‹ƒ–‡•–Ї…”ƒ…•–‘ƒ‡–Š‹••’ƒŽŽ‹‰ǤЇ–”ƒ…‡‘ˆ†”ƒ‰‰‹‰‘ˆ
‹–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–•…ƒ„‡”‡…‘‰‹œ‡†ˆ”‘ Ž‘™‡” ‘—–•‹†‡ ‘ˆ –‘‘–Š …‘–ƒ…– Ž‹‹–Ǥ
Їǡ•‘‡‹†‘ˆ…‘–ƒ…–‡˜‹†‡…‡—•–‡š‹•–‘–‘‘–Š–‹’‘ˆƒ–‹‰‰‡ƒ”–‡‡–ŠǤ
‹‰Ǥͳʹ•Š‘™•‹–ǣ˜‡”–Ї…Šƒˆ‡”Ǧ•—”ˆƒ…‡ƒ––‘‘–Š–‹’ƒ†‘ƒ††‡†—ˆŽƒ‡ƒ”
–‘‘–Š–‹’‡†‰‡ǡ›‘—…ƒ‘„•‡”˜‡•‘‡•Ž‹‰Š–’Žƒ•–‹…†‡ˆ‘”ƒ–‹‘ǡ‹Ǥ‡Ǥ‹†‡–ƒ–‹‘‘ˆ‘˜ƒŽ
ˆ‘”ǡ–Šƒ–™ƒ•’”‹–‡†„›–Ї•–”‘‰…‘–ƒ…–™‹–Š…”—•Š‘ˆ‹–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–ǤŠ‹•
‰‡ƒ”‹•…ƒ”„—”‹œ‡†ƒ†“—‡…Ї†ǤЇ–‘‘–Š–‹’‹•˜‡”›Šƒ”†ƒ„‘—–Šƒ”†‡••͸͵Ǥ
•’‹–‡‘ˆ–Š‹•Šƒ”†‡••ǡ•—…Š‘˜ƒŽ–”ƒ…‡‘ˆ’Žƒ•–‹…†‡ˆ‘”ƒ–‹‘”‡ƒ‹•ƒ†‹•‘„•‡”˜‡†Ǥ–
‡ƒ• –Ї ‹–”—†‹‰ ˆ‘”‡‹‰ ‘„Œ‡…– ‹• •‘ •–”‘‰Ž› ’”‡••‡† –‘ „‡ …”—•Ї†Ǥ Ї …‘–ƒ…–
ƒ”‘…Šƒˆ‡”ƒ––‘‘–Š–‹’‡ƒ•–Šƒ––Ї‹–”—•‹‘‘ˆˆ‘”‡‹‰‘„Œ‡…–•‘……—””‡†ˆ”‘
‘—–•‹†‡‘ˆ…‘–ƒ…–ƒ„އ–‘‘–ŠˆŽƒ†‡…‹†‡†„›‹˜‘Ž—–‡‰‡ƒ”‡•Š‹‰–Ї‘”›Ǥ
‹‰Ǥͳͳ”—•Š‘ˆ‹–”—†‹‰™‡ƒ”†‡„”‹•–‘‹‹–‹ƒ–‡•’ƒŽŽ‹‰Ǧ‘ˆˆ‘ˆ–‘‘–ŠˆŽƒ
‹‰ǤͳʹŽƒ•–‹…†‡ˆ‘”ƒ–‹‘‘–‘‘–Š–‹’…Šƒˆ‡”†—‡–‘…”—•Š‘ˆ‹–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–
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͸
Ї „‡Šƒ˜‹‘—” ‘ˆ ™‡ƒ” †‡„”‹• •…ƒ––‡”‡† ‹ ‰‡ƒ” Ž—„”‹…ƒ–‹‰ ‘‹Ž Ž‘‘• †‹ˆˆ‡”‡– ƒ•
ˆ—…–‹‘‘ˆ‹–••‹œ‡ƒ†™‡‹‰Š–ƒ†‡›‘ކ•—„‡”ǤЇ…‘•–‹–—–‹‰ˆƒ…–‘”Dzއ‰–Šdz‹
‡›‘ކ•—„‡”‹•–‘‘–Š•‹œ‡‘”–Ї‘†—އǡ™Š‡™‡†‡ƒŽ™‹–ЖЇ’Ї‘‡‘ ‘ˆ
‹–”—•‹‘‘ˆˆ‘”‡‹‰‘„Œ‡…–•„‡–™‡‡–‘‘–ŠˆŽƒ•ǤЇ–Ї†‹ƒ‡–‡”‘ˆ†‡„”‹•‹•އ••
–Šƒ…ƒǤͷͲ—ǡ•—…ŠDzˆ‹‡†‡„”‹•dz‘˜‡•ƒŽ‘•–•ƒ‡ƒ•–ЇˆŽ‘™‘ˆŽ—„”‹…ƒ–ǤЇ–Ї
†‹ƒ‡–‡”‘ˆ†‡„”‹•‹•ƒ„‘—–•‘‡ͳͲͲǯ•—ǡ•—…ŠDz•ƒŽŽ†‡„”‹•dz”‡…‡‹˜‡•…‘•‹†‡”ƒ„އ
‹ˆŽ—‡…‡‘ˆ‰”ƒ˜‹–›ǡ„—–•—•’‡†‡†‹Ž—„”‹…ƒ–ǤЇ–Ї†‹ƒ‡–‡”‘ˆ†‡„”‹•‹•ƒ„‘—–
•‘‡ͶͲͲǯ•—‘”Žƒ”‰‡”ǡ•—…ŠDzŽƒ”‰‡†‡„”‹•dz•‹•ƒ†’‹Ž‡•‘–Ї„‘––‘‘ˆ‘‹Ž•—’
™‹–Š‹•Š‘”–‡”–‹‡Ǥ
‹‰Ǥͳ͵…”ƒ–…Š‹‰„›•‘ˆ–™‡ƒ”†‡„”‹•
‹‰ǤͳͶ…”ƒ–…Š‹‰„›Šƒ”†ǡ„”‹––އƒ†ˆ‹‡™‡ƒ”†‡„”‹•
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Š‡Šƒ”†‡••ƒ††—…–‹Ž‹–›‘ˆ™‡ƒ”†‡„”‹•Šƒ•…‘•‹†‡”ƒ„އ‹ˆŽ—‡…‡‘–Ї†ƒƒ‰‹‰
•–ƒ–‡‘ˆ•—”ˆƒ…‡•ƒ…–‹‰ƒ•…”—•Š‹‰Ǧ™ƒŽŽƒ‰ƒ‹•–™‡ƒ”†‡„”‹•ǤŠƒ–‡ƒ•ǡ–Ї‘—–Ž‘‘‘ˆ
–‘‘–ŠˆŽƒ‹•…‘•‹†‡”ƒ„Ž›†‹ˆˆ‡”‡–ƒ•ˆ—…–‹‘‘ˆ…Ї‹…ƒŽ…Šƒ”ƒ…–‡”‹•–‹…•‘ˆŽ—„”‹…ƒ–Ǥ
•ˆ—…–‹‘‘ˆ‹†‘ˆŽ—„”‹…ƒ–ƒ†Ǧƒ††‹–‹˜‡ǡ™Š‡™‡ƒ”†‡„”‹•‹•Šƒ”†ƒ†„”‹––އǡ
™‡ƒ”†‡„”‹•„‡…‘‡••ƒŽŽ‡”ƒ†•ƒŽŽ‡”„›…”—•Š‹‰Ǥ„”ƒ•‹˜‡™‡ƒ”‘ˆ’”‘Œ‡…–‡†’ƒ”–
‘ˆ•—”ˆƒ…‡”‘—‰Š‡••ƒ•’‡”‹–‹‡• ’”‘…‡‡†• Ž‹‡ ˆ”‘•–‹‰ ‘” ‹…”‘Ǧ’‹––‹‰ ‘ –‘‘–Š ˆŽƒǤ
‹†‰‡ ‘ˆ ‰”‹†‹‰ ƒ” ƒ† …”ƒ–‡” ‘—–ƒ‹ ƒ†‡ „› …”—•Š ‘ˆ ˆ‘”‡‹‰ ‘„Œ‡…– ‹•
ƒ„”ƒ•‹˜‡Ž›™‘”ǤЇ–Š‡Šƒ”†‡••‘ˆ™‡ƒ”†‡„”‹•‹••‘ˆ–ƒ††—…–‹Ž‡ǡ™‡ƒ”†‡„”‹•†‘‡•
‘–„‡…‘‡•ƒŽŽ‡”„›…”—•Š‹‰ǣˆ‹‡ƒ†•ƒŽŽ™‡ƒ”†‡„”‹•’Žƒ•–‹…ƒŽŽ›’—––Ї•‡Ž˜‡•
–‘‰‡–Ї”–‘„‡…‘‡Žƒ”‰‡Ǥ•—…Š…ƒ•‡ǡŽƒ”‰‡‹†‡–ƒ–‹‘ƒ†…”ƒ–‡”‹•ƒ†‡„›…”—•Š‘ˆ
ˆ‘”‡‹‰‘„Œ‡…–Ǥ
‹‰Ǥͳ͵•Š‘™•–Ї •–ƒ–‡ ‘ˆ •…”ƒ–…Š‹‰ ƒˆ–‡” ‡†—”ƒ…‡ –‡•–ȏͳȐ „› ”‹‰ —•‹‰ ‰”‘—†
‰‡ƒ”•ˆ”‘ͳ͸”ͷ•–‡‡Žƒ†‰‡ƒ”‘‹Ž‘ˆ
͵ʹͲ™‹–ŠǦƒ††‹–‹˜‡‘ˆǣ”‹…ŠͲǤͷ͵Ψǡǣ
”‹…ŠͲǤͲͶΨǤЇ•–ƒ–‡‘ˆ…‘ŽŽ‹•‹‘‘ˆˆ‹‡™‡ƒ”†‡„”‹•™‹–Š”‹†‰‡‘ˆ‰”‹†‹‰ƒ”•Š‘™•
–Šƒ––Їˆ‹‡™‡ƒ”†‡„”‹•Ž‘‘•–‘†‡•–”‘›–Ї–‘’‘ˆ–Ї”‹†‰‡•Ǥ–Ž‘‘•Ž‹‡‹…”‘Ǧ’‹––‹‰
‘……—””‹‰ƒ––Ї’”‘Œ‡…–‹‘’ƒ”–‘ˆ•—”ˆƒ…‡”‘—‰Š‡••Ǥ‡ƒ”–Ї‰”‘‘˜‡•‘ˆ•…”ƒ–…Š‹‰ǡ
•‘‡„Žƒ…„ƒŽŽǡ’‡”Šƒ’•‡Ž–‡†•–‡‡Žǡƒ”‡ˆ‘—†Ǥ
‹‰ǤͳͶ•Š‘™•–Ї•–ƒ–‡‘ˆ•…”ƒ–…Š‹‰„›™‡ƒ”†‡„”‹•ǡЇ”‡–ЇǦƒ††‹–‹˜‡‘ˆŽ—„”‹…ƒ–‹•
ǣ”‹…ŠͲǤͷ͵Ψǡǣ’‘‘”ͲǤͲʹΨǤ–”—†‹‰™‡ƒ”†‡„”‹•…”—•Ї•–Ї•‡Ž˜‡•‹–‘ˆ‹‡”•‹œ‡Ǥ
‘ŽŽ‹•‹‘‘ˆˆ‹‡™‡ƒ” †‡„”‹• ™‹–Š ”‹†‰‡ ‘ˆ ‰”‹†‹‰ ƒ” ƒŽ•‘ ‘……—”• ƒ† –‘‘–Š ˆŽƒ
™‡ƒ”•ƒ„”ƒ•‹˜‡Ž›Ǥ–Ž‘‘•Ž‹‡˜‡”›ˆ‹‡‹…”‘Ǧ’‹––‹‰‘……—””‹‰ƒ––Ї’”‘Œ‡…–‹‰’ƒ”–‘ˆ
•—”ˆƒ…‡”‘—‰Š‡••Ǥ‘‡„Žƒ…„ƒŽŽ•ǡ’‡”Šƒ’•‡Ž–‡†•–‡‡Žǡƒ”‡ƒŽ•‘Ї”‡ˆ‘—†Ǥ
‹‰Ǥͳͷ”ƒ–‡”•ǡ•…”ƒ–…Š‹‰ƒ†‡Ž–‡†•–‡‡Ž•†—‡–‘…”—•Š‘ˆ‹–”—†‹‰™‡ƒ”†‡„”‹•
‹‰Ǥͳͷƒ†ˆ‹‰Ǥͳ͸•Š‘™˜‡”›†‹ˆˆ‡”‡–‘—–Ž‘‘‘ˆ †ƒƒ‰‡† –‘‘–Š ˆŽƒ• Ž—„”‹…ƒ–‡† „›
™‹–Š Ǧƒ††‹–‹˜‡ ‘ˆ ǣ ”‹…Š ͲǤͳʹΨǡ ƒǣ ’‘‘” ͲǤͲͲͷΨǡ ǣ …‘•–Ǥ ͲǤͲ͵Ψǡ ƒ† –Šƒ–
Ž—„”‹…ƒ–‡†„›™‹–ŠǦƒ††‹–‹˜‡‘ˆǣ’‘‘”ͲǤͲ͸Ψǡƒǣ”‹…ŠͲǤͲͳΨǡǣ…‘•–ǤͲǤͲ͵ΨǤ–
–Š‹•‡†—”ƒ…‡–‡•–ǡ™‡Šƒ˜‡’—––Ї•ƒ‡™‡ƒ”†‡„”‹•–ƒ‡ˆ”‘ …‘–ƒ‹ƒ–‡† ‰‡ƒ”
Ž—„”‹…ƒ–‹‰‘‹Ž‘ˆŠ‡ƒ˜‹Ž›–‡•–‡†‰‡ƒ”„‘šǤЇƒ‘—–ƒ†ƒ–—”‡‘ˆ™‡ƒ”†‡„”‹•ƒ††‡†
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‹ –Ї Ž—„”‹…ƒ– ‘ˆ –Ї•‡ „‘–Š –‡•–• ™ƒ• –Ї”‡ˆ‘”‡ –Ї •ƒ‡Ǥ  –‘‘–Š ˆŽƒ ƒ›
•…”ƒ–…Š‹‰ƒ”‡”‡…‘‰‹œ‡†Ǥ–•‘‡’‘•‹–‹‘ǡ•—…Š•…”ƒ–…Š‹‰†‡•–”‘›•”‹†‰‡‘ˆ‰”‹†‹‰
ƒ” „› …‘ŽŽ‹•‹‘ ‘ˆ ˆ‹‡ ˆ‘”‡‹‰ ‘„Œ‡…–•Ǥ Ї ”‡•—Ž–‡† ‘—–Ž‘‘ ‘ˆ –Ї †ƒƒ‰‡† –‘‘–Š
ˆŽƒ‹••‘†‹ˆˆ‡”‡–„‡–™‡‡–Ї…ƒ•‡•‘ˆˆ‹‰Ǥͳͷƒ†‘ˆˆ‹‰Ǥͳ͸ǣ‹–Ї…ƒ•‡‘ˆˆ‹‰Ǥͳͷǡ…”—•Š
‘ˆŽƒ”‰‡ˆ‘”‡‹‰‘„Œ‡…–•‹†—…‡•’Žƒ•–‹…†‡ˆ‘”ƒ–‹‘‘ˆ–‘‘–ŠˆŽƒ‹ˆ‘”•‘ˆ…”ƒ–‡”ƒ†
Š‘”•‡•Š‘‡Ǥ–‹†—…‡•ƒŽ•‘…”ƒ…•‹•‹†‡–‘‘–ŠˆŽƒǤ‡…ƒ•‡‡„Žƒ…‘š‹†‹œ‡†•–‡‡Žƒ–
–Ї•‹†‡‘ˆ†‡‡’•…”ƒ–…Š‹‰‰”‘‘˜‡•ƒ†‘–Ї…”ƒ–‡”‘—–ƒ‹Ǥ–Ї…ƒ•‡‘ˆˆ‹‰Ǥͳ͸ǡ–Ї
•‹œ‡‘ˆ‹–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–•‡‡•–‘„‡˜‡”›Žƒ”‰‡ǡ–Š‘—‰Š–Ї•‹œ‡‘ˆ™‡ƒ”†‡„”‹•’—–
‹–Їޗ„”‹…ƒ–‹••ƒ‡ƒ•–Ї…ƒ•‡‘ˆˆ‹‰ǤͳͷǤЇƒ„”ƒ•‹˜‡™‡ƒ”‘ˆ…”ƒ–‡”‘—–ƒ‹ƒ†
’”‘Œ‡…–‹‰’ƒ”–‘ˆ–‘‘–ŠˆŽƒǡ‹Ǥ‡Ǥ™‡ƒ”‘ˆƒ•’‡”‹–›‘ˆ•—”ˆƒ…‡”‘—‰Š‡••ǡ‹•˜‡”›ˆ‹‡Ǥ
–Ї„‘––‘‘ˆ…”ƒ–‡”•ǡ˜‡”›Ž‘…ƒŽ‡Ž–‹‰‘ˆ–‘‘–ŠˆŽƒ‘”‡Ž–‹‰‘ˆ…”—•Ї†™‡ƒ”†‡„”‹•
‹•‘„•‡”˜‡†Ǥ
‹‰Ǥͳ͸‘”…”ƒ–‡”•ƒ†‡˜‹†‡…‡‘ˆ‡Ž–‡†•–‡‡Ž•‘–Ї„ƒ•‹‘ˆ…”ƒ–‡”•
͹
—‹‰ —’ —…Š ‘„•‡”˜ƒ–‹‘ ‘ˆ –‘‘–Š ˆŽƒ• ‘ˆ Їƒ˜‹Ž› —•‡† ‰‡ƒ”•ǡ ™‡ Šƒ˜‡ –Ї
ˆ‘ŽŽ‘™‹‰‹’”‡••‹‘ǣ–Ї’”‘‰”‡••‘ˆ–‘‘–ŠˆŽƒ™‡ƒ”ƒ•ˆ—…–‹‘‘ˆ‘’‡”ƒ–‹‰–‹‡‹•
‡š’”‡••‡†„›–Ї’‘•‹–‹˜‡ˆ‡‡†„ƒ…•›•–‡ƒ••Š‘™‹ˆ‹‰Ǥͳ͹ǤЇ‘•–‘ˆ‰‡ƒ”Ž‹ˆ‡‹•
—†‡”–Ї•–ƒ–‡‘ˆˆƒ‹Ž—”‡Ǧ‹Ǧ’”‘‰”‡••ƒ††‹ˆˆ‡”‡–‹†•‘ˆˆƒ‹Ž—”‡‘†‡•…Šƒ‰‡–Ї‹”
‘™‰”ƒ†‡„›‹š‹‰–Ї‹”ˆƒ‹Ž—”‡‘†‡•Ǥ
‡•Š‹‰ƒ†…”—•Š‹‰‘ˆˆ‘”‡‹‰‘„Œ‡…–•‹‡‰ƒ‰‹‰–‘‘–ŠˆŽƒ•‹••‡”‹‘—•–”‹‰‰‡”‘ˆ
ˆ‘”–Š…‘‹‰ˆƒ–ƒŽˆƒ‹Ž—”‡ǤЇ‰‡ƒ”†‡•‹‰ƒ†‘’‡”ƒ–‹‘—†‡”–Ї”‡…‘‰‹–‹‘ ‘– –‘
’”‘†—…‡ ™‡ƒ” †‡„”‹• ‹• ˜‡”› ‹’‘”–ƒ– –‘ ”‡ƒŽ‹œ‡ Ž‘‰ Ž‹ˆ‡ ƒ† ”‡Ž‹ƒ„އ ‰‡ƒ” —‹–Ǥ
—„”‹…ƒ–‡•’‡…‹ƒŽŽ›‹–•…‘–ƒ‹‹‰ƒ††‹–‹˜‡ǡ‡Ǥ‰Ǥ’Š‘•’Š‘”—•ǡ•—ޒЇ”ǡ…ƒŽ…‹—‡–…ǤŠƒ•
…‘•‹†‡”ƒ„އ‹ˆŽ—‡…‡‘‰‡‡”ƒ–‹‘ƒ†…Šƒ”ƒ…–‡”‹•–‹…•‘ˆ™‡ƒ”†‡„”‹•Ǥ
ͺ
ͳǤ‘”‡‹‰‘„Œ‡…–•ǡ‘•–‘ˆ–Їƒ”‡™‡ƒ”†‡„”‹•ǡ‹–”—†‡„‡–™‡‡‡‰ƒ‰‹‰–‘‘–ŠˆŽƒ•
‘”‡ƒ•™‡‡š’‡…–‡†Ǥ
ʹǤ‘”‡‹‰‘„Œ‡…–•‘ˆ•ƒŽŽ•‹œ‡ƒ‡ƒƒ’’‡ƒ”ƒ…‡‘ˆ•…”ƒ–…Š‹‰ǤЇ™‘”‘ˆ•…”ƒ–…ŠǦ
‹‰‰‡‡”ƒ–‡•…‘•‹†‡”ƒ„އЇƒ––‘‡Ž–•‘‡ƒ‘—–‘ˆ‹–”—†‹‰™‡ƒ”†‡„”‹•ƒ†
‘ˆ–‘‘–ŠˆŽƒƒ–‡”‹ƒŽǤ
− 22 −
‹‰Ǥͳ͹‘•‹–‹˜‡ˆ‡‡†„ƒ…•›•–‡ˆ‘”†‡˜‡Ž‘’‡–‘ˆ‰‡ƒ”–‘‘–ŠˆŽƒˆƒ‹Ž—”‡
͵Ǥ”—•Š‘ˆˆ‘”‡‹‰‘„Œ‡…–•‘ˆ…‘•‹†‡”ƒ„އ•‹œ‡•ƒ‡•…”ƒ–‡”‘”’Žƒ•–‹…‹†‡–ƒ–‹‘‘ˆ
Š‘”•‡Ǧ•Š‘‡•Šƒ’‡‘–‘‘–ŠˆŽƒǤ–Ї„‘––‘‘ˆ…”ƒ–‡”ǡ‡Ž–‡†–‘‘–ŠˆŽƒƒ–‡”‹ƒŽ
‘” ‡Ž–‡† …”—•Ї† ™‡ƒ” †‡„”‹• ‹• ‘„•‡”˜‡†Ǥ ‘‡–‹‡• ‹’ƒ…–Ǧ…”ƒ… ‹• ˆ‘”‡†
ƒ”‘—†‘—–•‹†‡‘ˆ…”ƒ–‡”‹•Ž‹†‹‰†‹”‡…–‹‘Ǥ
ͶǤ ”ƒ–‡” ‘—–ƒ‹ ™‡ƒ”• ƒ„”ƒ•‹˜‡Ž›Ǥ ƒ††‹–‹˜‡ ‹ –Ї Ž—„”‹…ƒ–ǡ ‡Ǥ‰Ǥ ’Š‘•’Š‘”—•ǡ
•—ޒЇ”ƒ†…ƒŽ•‹—ǡŠƒ•…‘•‹†‡”ƒ„އ‹ˆŽ—‡…‡‘–Їˆƒ•Š‹‘‘ˆ–Šƒ–™‡ƒ”Ǥ
ͷǤ – ‹• ’‡”Šƒ’• „‡…ƒ—•‡ǡ –Šƒ– –Ї Šƒ”†‡•• ƒ† †—…–‹Ž‹–› ‘ˆ ‰‡‡”ƒ–‡† ™‡ƒ” †‡„”‹•
”‡…‡‹˜‡••–”‘‰‹ˆŽ—‡…‡•‘ˆ–Ї•‡‡Ž‡‡–•
͸Ǥ Ї ‹ˆŽ‡…–‹‘ ’‘‹– ‘ˆ …—”˜ƒ–—”‡ ƒ– †‡†‡†— –‘‘–Š ˆŽƒ ‹• ‡š’‘•‡† –‘ …”—•Š ‘ˆ
‹–”—†‹‰™‡ƒ”†‡„”‹•ǤŠƒ–’ƒ”–‘ˆ–‘‘–ŠˆŽƒ‹•–Ї”‡ˆ‘”‡˜‡”›ˆ”ƒ‰‹Ž‡ǤЇ…”—•Š‘ˆ
™‡ƒ” †‡„”‹• –Ї”‡ˆ‘”‡ ‘ˆ–‡ „‡…‘‡• –Ї •‡”‹‘—• …ƒ—•‡ ‘ˆ –‘‘–Š ˆŽƒ ˆƒ‹Ž—”‡ Ž‹‡
ˆŽƒ‹‰ǡ•’ƒŽŽ‹‰‘”…ƒ•‡…”—•Š‹‰Ǥ
͹Ǥ‹†‰‡•‘ˆ•—”ˆƒ…‡”‘—‰Š‡••‘ˆ–‘‘–ŠˆŽƒ†—‡–‘ƒ…Š‹‹‰‘”‰”‹†‹‰ƒŽ•‘ˆ”ƒ‰‹Ž‡
–‘…”—•Š‘ˆ‹–”—†‹‰ˆ‹‡™‡ƒ”†‡„”‹•ǡ–Šƒ–‹†—…‡•ˆƒ‹Ž—”‡Ž‹‡‹…”‘Ǧ’‹––‹‰Ǥ
ͺǤЇ‹–”—†‹‰ˆ‘”‡‹‰‘„Œ‡…–‹•†”ƒ‰‰‡†„›‡‰ƒ‰‹‰–‘‘–ŠˆŽƒ•ƒ†’ƒ••‡•‘˜‡”
–‘‘–Š–‹’‡†‰‡ǡ–Ї‡†‰‡…ƒ”—’–—”‡ƒ†…Š‹’’‹‰‘ˆ–Ї‡†‰‡…ƒ‘……—”Ǥ—„•—”ˆƒ…‡
…”ƒ…ƒŽ•‘‘ˆ–‡‹‹–‹ƒ–‡•ƒ––Šƒ–…”—•Šƒ†…Š‹’’‹‰Ǥ
ͻǤ„‘˜‡‡–‹‘‡†–‘‘–Šˆƒ‹Ž—”‡’”‘†—…‡•‡™™‡ƒ”†‡„”‹•–‘‹–”—†‡„‡–™‡‡–‘‘–Š
ˆŽƒ•Ǥ ‘‘–Š ˆŽƒ ˆƒ‹Ž—”‡ †‡˜‡Ž‘’• ‹–•‡Žˆ „› •—…Š ’‘•‹–‹˜‡Ž› ˆ‡‡†Ǧ„ƒ… •›•–‡ ‘ˆ
ˆƒ‹Ž—”‡’”‘‰”‡••Ǥ
Ї‡š’‡”‹‡–…‘…‡”‹‰ˆ‹‰•Ǥͳ͵–‘ͳ͸™‡”‡…ƒ””‹‡†‘—–ƒ–†‡‹–—‘•ƒ‘Ǥǡ–†Ǥ
Їƒ—–Š‘”‡š’”‡••…‘”†‹ƒŽ‰”ƒ–‹–—†‡–‘”ǤǤ…Š‹Šƒ•Š‹ˆ‘”Š‹•‡ˆˆ‘”–Ǥ
ȋͳȌ
…Š‹Šƒ•Š‹ǡǤǡ —Œ‹–ƒǡǤǡ ƒ–•—‘–‘ǡǤ ȋʹͲͳ͵Ȍ ”‘…Ǥ–ǯŽ ‘ˆǤ
‡ƒ”•ǡ …–Ǥ ͸Ͷͷ͹ǡ
ƒ”…Š‹‰ǡ
‡”ƒ›ǡǦ‡”‹…Š–‡”Ǥ͸ͷͿͿǡ’Ǥ;ͺͷ
− 23 −
⛅ᒣ◊✲ᐊࡢᡂᯝ
⛅ᒣ◊✲ᐊ ⛅ᒣ㞞⩏
ᖹᡂ26ᖺᗘ䛿䚸ୗグ䛾Ⓨ⾲䛜䛒䜛䚹
ࠕNbC⢏ศᩓᙉ໬ᆺᕤලࡢᑐ⇕㛫Ⅳ⣲㗰స⏝≉ᛶࠖ
Working Features of Surface Layer of Tool Reinforced with Dispersed NbC Particles
ࢺࣛ࢖࣎ࣟࢪࢫࢺ➨60ᕳ ➨1ྕ(2015)75㹼83
௨ୗࠊㄽᩥࢆᥖ㍕ࡍࡿࠋ
− 24 −
“
”
2014
6
12
60
1
(2015) 75
2014
10
83
6
1E&
1*
2
3
:RUNLQJ)HDWXUHVRI6XUIDFH/D\HURI7RRO5HLQIRUFHGZLWK'LVSHUVHG1E&3DUWLFOHV
Yoshifumi HIGASHIGAWA1*, Masaki MORITA2 and Masayoshi AKIYAMA3
Experiments have been carried out to clarify the roles of matrix and dispersed NbC particles on the reinforcement of tool
surface. It was at the end of the last century that outstanding performance in hot metal rolling was reported of the surface layer
of tool reinforced with coarse NbC particles by Plasma-Transferred-Arc (PTA) welding but little has been investigated on the
roles of matrix and optimum dispersion of NbC particles. In the present work specimens manufactured by PTA welding using
NbC particles with different sizes and different fractions were subjected to hot sliding test against medium carbon steel in order
to investigate the roles of matrix and the NbC particles held in the matrix. The result showed that the matrix is reinforced as
soon as a small amount of NbC is injected into the welded layer and keeps the constant strength regardless of the increase in the
fraction of NbC particles. With the increase in the fraction of NbC particles in the welded layer the performance of the surface
increases linearly. In the previous use of coarse NbC powder was recommended but present result showed that the effect does
not depend upon the size of NbC powder to be PTA-welded.
.H\:RUGV NbC, PTA, reinforced tool, hot wear resistance, optimum size of NbC, reinforcement of matrix
Plasma Transferred
PTA
Arc Welding
NbC
50%
1)
SUS316L
TiC
7,8)
10
2)
15
9)
VC
NbC
3)
VC
2,5)
NbC
100 μm
4~6)
NbC
PTA
1
2
3
*
606-8585
Student, Graduate School, Kyoto Institute of Technology (Gosho-kaido-cho, Matsugasaki, Sakyo-ku, Kyoto-shi, Kyoto 606-8585)
454-0831
1
15
Aisei-hard. Co., Ltd. (1-15, Mitsuya-cho, Nakagawa-ku, Nagoya-shi, Aichi 454-0831)
606-8585
Department of Mechanical and System Engineering, Kyoto Institute of Technology (Gosho-kaido-cho, Matsugasaki, Sakyo-ku,
Kyoto-shi, Kyoto 606-8585)
Corresponding author : E-mail: [email protected]
− 25 −
Fig. 1 View of PTA-welding machine and schematic illustration of PTA-welding
NbC
SUS316L
NbC
SUS309L
S50C
Fig. 2
PTA
NbC
NbC
NbC
Scanning Electron Microscope SEM
PTA
X
10)
Dispersive X-ray Spectroscopy
Energy
EDX
PTA
PTA
Fig. 1
PTA
Ar
NbC
PTA
PTA
2,5)
SUS316L
NbC
Fig. 2 Flow chart of specimen manufacturing and
evaluation
− 26 −
NbC
Table 1
Base metal
S50C
No-1
NbC
Powder
No-2
SUS309L
Conditions of PTA-welding
Weight fraction of
NbC, %
20, 40, 60
Size of NbC particle, m
Fine : 10~45
㻌 Medium 45~75
㻌 Coarse : 75~150
Plasma arc
current, A
Plasma arc
volatage, V
Pre-heating temperature before
PTA-weldeing, K
Carrier gas
Post-cooling condition
170
33
423
Ar
Slow cooling
Results of PT on PTA-welded surfaces
Table 2
NbC, wt%
20
Fine
Medium
Coarse
With no crack,
40
60
With small hair crack
45 μm
NbC
NbC
Fig. 3 Schematic illustration of specimen manufacturing by
PTA-welding and wire-cutting
PTA
SUS309L
Fig. 3
PTA
PTA
Table 1
NbC
Fig. 3
2)
NbC
NbC
NbC
PTA
NbC
PTA
NbC
Penetration test PT
NbC
PT
Fig. 4
Table
2)
2
NbC
NbC
NbC
75
150 μm
45
75 μm
10
Fig. 4 Examples of inspected PTA-welded surfaces by PT
− 27 −
NbC
SUS316L
60%
NbC
Fig. 4(a)
PT
mm
NbC
Fig. 4(b)
NbC
SEM-EDX
20
60%
PTA
Fig. 6
PTA
PTA
2
NbC
10 μm
Fig. 5
3
NbC
NbC
NbC
Fig. 7
Fig. 5
NbC
([DPSOH RI ILQLVKHG VSHFLPHQ IRU KRW ZHDU
UHVLVWDQFHWHVWDQGJHRPHWU\
Fig. 6
15 μm
NbC
NbC
5HODWLRQVKLSEHWZHHQ1E&SDUWLFOHVLQSRZGHUDQG1E&SDUWLFOHVLQPDWUL[
− 28 −
NbC
NbC
Fig. 7
Examples of intensity and area fraction of NbC particles in matrix
<
NbC
.
NbC
NbC
NbC
NbC
Fig. 8
Figure 5
Relationship between weight fraction of NbC
in parent powder and area fraction of NbC
particles in PTA-welded layer
10 μm
NbC
Fig. 8
7.5611) SUS309L
NbC
1 μm
NbC
NbC
Nb
10 g
7.9814)
PTA
NbC 60%
Fig. 9
NbC
NbC
NbC
Fig. 8
3
Figure
;
− 29 −
Fig. 9
/RDG IRUPHDVXULQJ9LNHUVKDUGQHVVJ
Example of influence of load on Vickers
hardness of matrix
10
Fig. 10 Influence of area fraction of NbC particle in
matrix on Vickers hardness of matrix
NbC
320HV
420HV
NbC
0%
NbC
SUS309L
220HV
320HV
NbC
NbC
NbC
NbC
40%
1600
NbC
NbC
217011)
NbC
NbC
NbC
NbC
NbC
SEM
NbC
SEM-EDX
NbC
60%
Fig. 11
NbC
40%
Fig. 11 Examples of SEM-EDX images and distribution of elements in PTA welded layer
− 30 −
PTA
NbC
Fig. 12 9LHZDQGLOOXVWUDWHGLPDJHRIKRWZHDUUHVLVWDQFHWHVW
Table 3
Base metal
Size,mm
125㽢30
material
Conditions of hot wear resistance test
Temperature, K
Applied load, N
Sliding speed, m/s
Sliding distance, m
Lubrication
1073
980
0.22
600
No lubricant
S45C
2
Nb
C
NbC
NbC
NbC
Table 3
Fig. 12
,
980 N
125 mm
1
33
1600
NbC
Fig. 12
NbC
PTA
NbC
NbC
Nb
C
NbC
Fig.
Nb
13
NbC
Fig. 14
Cr
Ni
SUS309L
− 31 −
Fig. 14 6FKHPDWLF LOOXVWUDWLRQ RI PHWKRG
PHDVXULQJOHQJWKRIZHDUWUDFN
IRU
Fig. 13 ([DPSOHV RI ZHDU WUDFN DIWHU KRW ZHDU
UHVLVWDQFHWHVW
/1
/2
NbC
NbC
Fig. 14
/
Fig. 15 ,QIOXHQFHRI DUHD IUDFWLRQRI 1E& SDUWLFOHLQ
PDWUL[RQOHQJWKRIZHDUWUDFN
Fig. 15
5)
SEM-EDX
Fig. 15
10
PTA
50%
NbC
NbC
PTA
20%
Nb
SUS309L
Ni
Cr
PTA
NbC
Fig. 16
NbC
PTA
Nb
NbC
C
O
Cr
PTA
Ni
Fe
NbC
NbC
S45C
20%
Nb
O
13
NbC
Fe
Figure
Fig. 16
NbC
12)
PTA
13)
− 32 −
NbC
NbC
Fig. 16 ([DPSOHRIGLVWULEXWLRQVRIHOHPHQWVRQZHDUWUDFN
PTA
1)
, , 5 (1987) 28.
2) K. TSUBOUCHI, M. AKIYAMA & T. OKUYAMA Development and
Optimization of Carbide- Reinforced Tools and Application to
Hot Rolling of Stainless Steel, ASME J. Tribology, (1997)
687-693.
3) M. AKIYAMA, K. TSUBOUCHI, T. OKUYAMA & N. SAKAGUCHI
Applications for Plasma Transferred Arc Welded Tools during
Hot Steel Tube Making, Ironmaking and Steelmaking, , 3
(2000) 183-188.
4) K. TSUBOUCHI, M. AKIYAMA & S. TSUMURA Development of
New Material and Heat Treatment for Tools Ensuring High
Performance in Hot Seamless Tube Rolling, Materials Science
and Technology, (2000) 65-71.
5) K. TSUBOUCHI, M. AKIYAMA, M. TSUMURA & S. AMANO
Development of a Wear-Resistant Surface Layer for a Tool to be
Used for High-Temperature Stainless Steel Rolling, Proc. Instn.
Mech. Engrs., , Part J (1999) 473-480.
6)
2
,
(2000) 176-191.
7)
,
, , 8 (1991) 1336-1343.
8)
,
, , 5 (1995) 620-622.
9)
,
, (1995) 37-49.
10) K. TSUBOUCHI, M. AKIYAMA, E. Y AMAMOTO & T. MASE
Development of a New Tool Material to Ensure High
Performance in Hot Steel Rolling, ASME J. Tribology, (1999) 7439-745.
11)
,
(1977) 108, 304.
12)
,
(2007) 1-16, 95-97.
,
(1992)
13)
3-32.
14)
JIS
2
,
(2003) 734-739.
NbC
NbC
NbC
NbC
NbC
20%
NbC
NbC
NbC
− 33 −
≉ู◊✲ဨ࡟ࡼࡿᡂᯝ
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㏻๎࡟㛵ࡍࡿᅜ㝿ᶆ‽ࡢไᐃ
㸰㸬ᡂᯝ
㉸㟁ᑟᮦᩱࡢ⮫⏺㟁ὶ ᐃ࠾ࡼࡧᘬᙇヨ㦂᪉ἲ➼࡟㛵ࡍࡿᅜ㝿つ᱁సᡂࡢࡓࡵᅜ㝿ඹྠ◊✲ࢆ
ᐇ᪋ࡋࡓࠋࡉࡽ࡟㉸㟁ᑟ⥺ᮦࡢ⥲๎ࡢసᡂࡢࡓࡵ IEC/TC90 ࡟タࡅࡽࢀࡓ WG13 ࡢࢥࣥࣅࢼ࣮࡜
ࡋ࡚ᅜ㝿ⓗ࡞ㄪᰝ◊✲ࢆ⾜ࡗ࡚ࡁࡓࠋࡲࡓ WG5 ࡢࢥࣥࣅࢼ࣮࡜ࡋ࡚ REBCO ㉸㟁ᑟ⥺ࡢᐊ ᘬ
ᙇヨ㦂ࡢᅜ㝿 RRT ࡢ⤖ᯝࡢ࡜ࡾࡲ࡜ࡵᅜ㝿ᶆ‽᱌ࡢᥦ᱌ࢆ⾜ࡗࡓࠋ௨ୗࡑࢀࡽࡢᴫせࢆሗ࿌ࡍ
ࡿࠋ
᭱㏆࡟࡞ࡾ㉸㟁ᑟᛂ⏝〇ရࡢୡ⏺ᕷሙࡀ❧ࡕୖࡀࡾࡘࡘ࠶ࡿࡀࠊࡑࢀࢆ཯ᫎࡋ࡚ୡ⏺ᶆ‽࡟㐺
ྜࡋࡓ㉸㟁ᑟ〇ရࡢᚲせᛶࡀ㧗ࡲࡗ࡚ࡁ࡚࠸ࡿࠋ ᐃつ᱁ࠊ〇ရつ᱁➼ከࡃࡢୡ⏺ᶆ‽ࡢไᐃࡀ
ᚲせ࡜࡞ࡿࡀࠊࡲࡎࡑࢀࡽࡢつ᱁ࡢ඲యࢆ⤫ᣓࡍࡿ⥲๎ࡀᚲせ࡜࡞ࡿࠋWG13 ࡟࠾࠸࡚ 2010 ᖺ
࡟♧ࡉࢀࡓ᪉㔪࡟ᚑ࠸ࠊᐇ⏝㉸㟁ᑟ⥺ᮦࡢ〇ရつ᱁࡟㛵ࡍࡿ⥲๎࡜ ᐃつ᱁࡟㛵ࡍࡿ⥲๎࡟ࡘ࠸
࡚ ᳨ウࢆ⥆ࡅ ࡚ࡁࡓࠋࡑ ࡢᚋ〇ရつ ᱁࡟㛵ࡍࡿ ⥲๎ࡣ 2014 ᖺ ࡟ ୗグ බ⾲ᩥ⊩ (1)ࡢ ࡼ ࠺
࡟”Technical Report”࡜ࡋ࡚Ⓨ⾜ࡉࢀࡓࠋ ᐃつ᱁࡟㛵ࡍࡿ⥲๎ࡣᮏᖺ㸳᭶࡟බ⾲ᩥ⊩(2)ࡢࡼ࠺
࡟ᅜ㝿ᶆ‽࡜ࡋ࡚Ⓨ⾜ࡉࢀࡓࠋ
ᐃつ᱁ࡢ⥲๎࡟ࡘ࠸࡚⡆༢࡟⤂௓ࡍࡿࠋ㉸㟁ᑟ⥺ࡣྠࡌࢧ࢖ࢬࡢ㏻ᖖࡢ࢔࣑ࣝࢽ࣒࢘࠾ࡼࡧ
㖡⥺ࡼࡾఱⓒಸࡶࡢ㟁ὶࢆὶࡍࡇ࡜ࡀࡁࡿࠋᚑࡗ࡚㉸㟁ᑟ≧ែ࡛ὶࡍࡇ࡜ࡢ࡛ࡁࡿ᭱኱ࡢ㟁ὶ್ࠊ
ࡍ࡞ࢃࡕ⮫⏺㟁ὶࡢ ᐃ᪉ἲࢆỴࡵ࡚࠾ࡃᚲせᛶࡀ⏕ࡎࡿࠋࡲࡓᵝࠎ࡞⎔ቃୗ࡛౑⏝ࡉࢀࡿᕤᴗ
〇ရ࡛࠶ࡿࡓࡵࡑࡢ௚ࡢ㟁☢ẼⓗࠊᶵᲔⓗࠊ⇕ⓗ≉ᛶ࡟㛵ࡍࡿ ᐃ᪉ἲ࡟ࡘ࠸࡚ࡶ ᐃつ᱁ࡢไ
ᐃࡀᚲせ࡜࡞ࡿࠋࡇࢀࡽࡢ✀ࠎ࡞≉ᛶࡣ኱ࡁࡃ㸰ࡘࡢ࢝ࢸࢦ࣮ࣜ࡟ูࡅࡽࢀࡿࠋ୍ࡘࡣ㉸㟁ᑟ⥺
࡟≉᭷࡞≉ᛶࠊࡍ࡞ࢃࡕ⮫⏺ ᗘࠊ⮫⏺☢ሙࠊ୙ྍ㏫☢ሙࠊ⮫⏺㟁ὶࠊn ್ࠊ஺ὶᦆኻ➼ࠎ࡛࠶
ࡿࠋ➨㸰ࡢ࢝ࢸࢦ࣮ࣜࡣᶵᲔⓗᛶ㉁ࠊ㖡ẚࠊṧ␃᢬ᢠ➼ࡢᮦᩱ࡜ࡋ࡚ࡢ≉ᛶ࡛࠶ࡿࡇ࡜ࡀㄝ᫂ࡉ
ࢀ࡚࠸ࡿࠋࡇࢀࡽࡢ≉ᛶ࡟ࡘ࠸࡚ࡢヨ㦂つ᱁ࡢไᐃࡀᚲせ࡛࠶ࡿࡀࠊIEC-TC90 ࡛ࡇࢀࡲ࡛ࡢά
ື࡛ไᐃࡉࢀ࡚ࡁࡓᅜ㝿ᶆ‽ࡢ⌧≧ࢆグ㏙ࡋࠊ௒ᚋࡢᅜ㝿ᶆ‽ࡢྲྀࡾ⤌ࡳ࡟ࡘ࠸࡚ᥦゝࡋ࡚࠸ࡿࠋ
2012 ࠿ࡽ 2013 ᖺᗘ࡟࠿ࡅ࡚ REBCO ࢸ࣮ࣉࡢᐊ ࡟࠾ࡅࡿᶵᲔ≉ᛶࡢᅜ㝿ࣛ࢘ࣥࢻࣟࣅࣥ
ࢸࢫࢺࢆୡ⏺㸵࠿ᡤࡢ◊✲ࢢ࣮ࣝࣉ࡛ᐇ᪋ࡋࡓࠋࡑࡢヨ㦂⤖ᯝࢆ࡜ࡾࡲ࡜ࡵࠊ ᐃࢹ࣮ࢱࡢᶆ‽
୙☜࠿ࡉࢆ᥎ᐃࡍࡿ࡜࡜ࡶ࡟ࠊ⤖ᯝࡢ⪃ᐹ࠿ࡽヨ㦂᪉ἲࡢᨵⰋࢆ⾜ࡗࡓࠋࡑࡢゎᯒ⤖ᯝࡣබ⾲ㄽ
ᩥ(3)࡟ሗ࿌ࡋࡓࠋIEC㸫TC90 ࡟ᥦ᱌ࡋࡓᅜ㝿ᶆ‽᱌࡟ࡘ࠸࡚ࡣୗグබ⾲ᩥ⊩(4)ࡢࡼ࠺࡟”New
− 35 −
Work Item Proposal”࡜ࡋ࡚ᮏᖺ㸳᭶࡟ཷ⌮ࡉࢀࡓࠋ
2014ᖺᗘࡢᅜ㝿WG5࡟࠾࠸࡚ࡣBSCCO࠾ࡼࡧREBCOᐇ⏝⥺ᮦࡢᾮయ❅⣲ ᗘ࡛ࡢᘬᙇヨ㦂
᪉ἲ࡟ࡘ࠸࡚ணഛⓗ࡞ヨ㦂⤖ᯝࢆཧ⪃࡟ཎ᱌సᡂࡢ᳨ウࡀጞࡵࡽࢀࡓࠋࡲࡓMgB2⥺ᮦࡢᐊ ᘬ
ᙇヨ㦂᪉ἲ࡟ࡘ࠸࡚ࡣ࢖ࢱࣜ࢔ࡢ◊✲⪅ࡀࣉࣟࢪ࢙ࢡࢺ࣮ࣜࢲ࣮࡜࡞ࡾཎ᱌సᡂࢆ⾜࠺ࡇ࡜ࡀỴ
ࡵࡽࢀࠊᅜ㝿RRT࡟ࡣᛂ⏝⛉Ꮫ◊✲ᡤࡶཧຍࡍࡿࡇ࡜࡟ࡋࡓࠋ
㸱㸬ᡂᯝࡢබ⾲
(1) IEC TR 61788 - 20:2014 Ed.1.0:Superconductivity - Superconducting wires - Categories of
practical superconducting wires - General Characteristics and guidance.
(2) IEC 61788 - 21:2015 Ed.1.0:Superconductivity - Superconducting wires - Test methods for
practical superconducting wires - General Characteristics and guidance,Intl. Standard.
(3) K Osamura,H-S Shin,K-P Weiss,A Nyilas,A Nijhuis,K Yamamoto,S Machiya and G
Nishijima;Internationa1 round robin test for mechanical properties of REBCO
superconductive tapes at room temperature, SUST 27(2014)085009
(4) IEC 61788 - XX:2015 Ed.1.0 NP: Superconductivity - Mechanical properties measurement
- Room temperature tensile test on REBCO wires
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 28 ᪥
− 36 −
㖟⿕そࣅࢫ࣐ࢫ⣔⥺ᮦࡢᶵᲔⓗ≉ᛶホ౯
≉ู◊✲ဨ 㛗ᮧග㐀
ཷクඛྡ㸸ఫ཭㟁Ẽᕤᴗᰴᘧ఍♫
㸯㸬┠ⓗ
㖟⿕そࣅࢫ࣐ࢫ⣔⥺ᮦ࡜ࡑࡢᛂ⏝〇ရࡢᨵⰋ
㸰㸬ᡂᯝ
BSCCO ㉸㟁ᑟ」ྜ⥺ᮦࡢᶵᲔⓗᛶ㉁ࢆᐊ ཬࡧ 77㹉࡛ ᐃࡍࡿ࡜࡜ࡶ࡟ࠊ77㹉࡟࠾࠸࡚⮫⏺
㟁ὶࡢṍ౫Ꮡᛶࢆㄪ࡭ࡓࠋ ᐃ⤖ᯝࡢゎᯒࢆ⾜࠸㉸㟁ᑟ≉ᛶ࡟ཬࡰࡍṧ␃ṍ౫Ꮡᛶࢆ᫂ࡽ࠿࡟ࡋ
ࡓࠋࡲࡓࢫࣉࣜࣥࢢ࣮࣎ࢻࢆ⏝࠸ࡓ᪂ࡋ࠸⮫⏺㟁ὶ࠾ࡼࡧᒁᡤṍ ᐃ᪉ἲࡢ᳨ウࢆ㛤ጞࡋࡓࠋ௨
ୗࡑࡢ୍㒊࡟ࡘ࠸࡚ሗ࿌ࡍࡿࠋ
Type HT-CA(㖡ྜ㔠)ࡸ Type HT-SS(ࢫࢸࣥࣞࢫ)࡟⏝࠸ࡿ⿵ᙉᮦ࡜ẚ࡭࡚㣕㌍ⓗ࡟㧗࠸㝆అᛂ
ຊࢆ᭷ࡍࡿ Ni ྜ㔠ࢆ⿵ᙉᮦ࡟⏝࠸ࡿ࡜ࠊ3-ply ຍᕤ᫬ࡢ Pre-tension ࢆ㧗ࡵࡿࡇ࡜ࡀྍ⬟࡛࠶ࡿࠋ
ࡇࡢࡓࡵࠊ3-ply ຍᕤᚋ࡟ࡣ Type H ⥺ᮦ࡟㧗࠸ṧ␃ᅽ⦰ṍࡳࡀຍࢃࡾࠊᘬᙇᛂຊࠊᘬᙇṍࡳ࡟ᑐ
ࡋ࡚ඃࢀࡓ⪏ᛶࢆ୚࠼ࡿࡇ࡜ࡀ࡛ࡁࡿࠋࡇࡢ⿵ᙉᮦᩱࢆ⏝࠸ࡓ᪂ࡓ࡞ Type HT ᮦࡢ㛤Ⓨࡀ㐍ࡵࡽ
ࢀࠊ500MPa ࢆ㉸࠼ࡿᘬᙇᙉᗘࡀᚓࡽࢀࡿ⥺ᮦࡀఫ཭㟁ᕤ࡛㛤Ⓨࡉࢀ࡚࠸ࡿࠋࡇࡢ⥺ᮦ࡟ࡘ࠸࡚
≉ᛶホ౯ࢆ⾜ࡗࡓࠋ
ࡇࡢ⥺ᮦࡣ 4.2K ☢ሙ୰⮫⏺㟁ὶ ᐃࡸ୧᭤ࡆヨ㦂ࡢ⤖ᯝࡼࡾࠊ4.2K ࡬ࡢ෭༷ࡸ ȭ40mm ௨ୖ
ࡢ᭤ࡆຍᕤᚋࡶ≉ᛶࡢຎ໬ࡀ࡞࠸ࡇ࡜ࡀ᫂ࡽ࠿࡜࡞ࡗࡓࠋ300m ࡢ㛗ᑻ HT-NX ⥺ᮦࡢ 77K ࡟࠾
ࡅࡿ⮫⏺㟁ὶศᕸࡣ඲㛗࡟ரࡗ࡚ᆒ㉁࡞ᛶ⬟ࡀᚓࡽࢀࡿࡇ࡜ࡀ♧ࡉࢀࡓࠋࡲࡓ▷ᑻ⥺ᮦࢆᑐ㇟࡟ࠊ
ᘬᙇヨ㦂࡜᭤ࡆヨ㦂ࢆᐇ᪋ࡋᶵᲔᙉᗘࡢಙ㢗ᛶࢆホ౯ࡋࡓࠋᘬᙇヨ㦂࡛ࡣࠊᾮయ❅⣲୰࡛ 400MPa
ࡢᘬᙇᛂຊࢆ⤒㦂ࡉࡏࡓヨᩱࡢ Ic ࢆヨ㦂๓ࡢ Ic0 ࡜ẚ㍑ࡋࠊࡲࡓ᭤ࡆヨ㦂࡛ࡣࠊᐊ ࡛ ȭ40mm
ࡢ୧᭤ࡆࢆ⤒㦂ࡉࡏࡓヨᩱࡢ Ic ࢆ Ic0 ࡜ẚ㍑ࡋࡓࠋᘬᙇᛂຊ༳ຍᚋࡣ඲࡚ࡢࣟࢵࢺ࡟࠾࠸࡚ 99%
௨ୖࡢ⮫⏺㟁ὶ⥔ᣢ⋡ࢆ♧ࡋࡓࠋࡲࡓࠊ୧᭤ࡆヨ㦂ᚋࡢ⮫⏺㟁ὶ⥔ᣢ⋡ࡶ඲࡚ 98%௨ୖ࡜࠸࠺㧗
࠸Ỉ‽ࢆ♧ࡋࡓࠋ㉸㟁ᑟࣇ࢕࣓ࣛࣥࢺࡢ◚᩿࡟ࡼࡗ࡚⮫⏺㟁ὶࡀ୙ྍ㏫ⓗ࡟పୗࡋጞࡵࡿ㝿ࡢ⥔
ᣢ⋡ࡣ 95%࡛࠶ࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿࡀࠊᮏヨ㦂࡛ࡣࡇࢀࢆ༑ศ࡟ୖᅇࡿ⤖ᯝࡀᚓࡽࢀ࡚࠸ࡿࡓ
ࡵࠊ┠ᶆ࡜ࡍࡿᘬᙇᛂຊ 400MPaࠊチᐜ᭤ࡆᚄ 40mm ࢆ༑ศ࡟‶ࡓࡋ࡚࠸ࡿࡇ࡜ࡀ☜ㄆࡉࢀࡓࠋ
ఫ཭㟁ᕤ࠿ࡽࡢཷク◊✲ࡢ⤖ᯝࠊྠ♫࡜ඹྠ࡛ࠕ㉸㟁ᑟ⥺ᮦࠊ࠾ࡼࡧ㉸㟁ᑟ⥺ᮦࡢ᥋⥆ᵓ㐀ࠖ
࡜⛠ࡍࡿ≉チ⏦ㄳࢆ⾜ࡗࡓࠋᮏⓎ᫂ࡣࠊ㉸㟁ᑟ⥺ᮦ࡟㛵ࡋ㉸㟁ᑟᮦᩱ㒊ࢆྵࡴᮏయ㒊ࢆᶵᲔⓗ࡟
⿵ᙉࡍࡿ⿵ᙉ㒊ࢆഛ࠼ࡿ㉸㟁ᑟ⥺ᮦ࡟㛵ࡍࡿࡶࡢ࡛࠶ࡿࠋᚑ᮶࠿ࡽ㉸㟁ᑟᮦᩱࢆ⥺ᮦ࡟㐺⏝ࡍࡿ
࡟ᙜࡓࡾࠊ㉸㟁ᑟᮦᩱ㒊ࢆྵࡴᮏయ㒊ࢆᶵᲔⓗ࡟⿵ᙉࡍࡿᚲせࡀ࠶ࡿࠋ㉸㟁ᑟᮦᩱ㒊ࢆྵࡴᮏయ
㒊࡜ࠊ㉸㟁ᑟᮦᩱ㒊ࢆྵࡴᮏయ㒊ࢆᶵᲔⓗ࡟⿵ᙉࡍࡿ⿵ᙉ㒊࡜ࢆഛ࠼ࡿ㉸㟁ᑟ⥺ᮦࡀ▱ࡽࢀ࡚࠸
ࡿࠋ㢳ᐈࡢᵝࠎ࡞せᮃ࡟ᛂࡌ࡚ࠊ㉸㟁ᑟ⥺ᮦࢆᵓᡂࡍࡿᵓᡂせ⣲(౛࠼ࡤࠊ㉸㟁ᑟᮦᩱ㒊ࠊ⿵ᙉ㒊㸧
− 37 −
ࡢᮦᩱࠊཌࡉ࡞࡝ࡀ␗࡞ࡿ㉸㟁ᑟ⥺ᮦࢆ‽ഛࡍࡿᚲせࡀ࠶ࡿࠋࡑࡢࡓࡵࠊ㢳ᐈࡀồࡵࡿ㉸㟁ᑟ⥺
ᮦࡢᵝࠎ࡞௙ᵝ࡟ᛂࡌ࡚ࠊ㉸㟁ᑟ⥺ᮦࢆᵓᡂࡍࡿᵓᡂせ⣲ࡢᮦᩱࠊཌࡉ࡞࡝ࢆタィࡋ࡞ࡅࢀࡤ࡞
ࡽ࡞࠸ࠋ
ᚑ᮶ࡣࠊ㉸㟁ᑟ⥺ᮦࡢ⿵ᙉ㒊࡟ᑐࡍࡿᵝࠎ࡞せồ࡟ᛂࡌ࡚ࠊࡑࡢ㒔ᗘࠊᵝࠎ࡞ᮦᩱࡢ୰࠿ࡽ㉸
㟁ᑟ⥺ᮦࡢ⿵ᙉ㒊࡟㐺ࡋࡓᮦᩱࢆ᥈⣴ࡋ࡚࠸ࡓࠋࡋ࠿ࡋࠊ㉸㟁ᑟ⥺ᮦࡢ⿵ᙉ㒊࡟ᑐࡍࡿᵝࠎ࡞せ
ồ࡟ᛂࡌ࡚ࠊࡑࡢ㒔ᗘࠊᵝࠎ࡞ᮦᩱࡢ୰࠿ࡽ㉸㟁ᑟ⥺ᮦࡢ⿵ᙉ㒊࡟㐺ࡋࡓᮦᩱࢆ᥈⣴ࡍࡿࡇ࡜ࡣࠊ
ᡭ㛫ࡀ࠿࠿ࡿࠋࡲࡓࠊ㉸㟁ᑟ⥺ᮦࡢ⿵ᙉ㒊࡟ᑐࡍࡿせồ࡟㐺ࡋࡓᮦᩱࡀぢࡘ࠿ࡽ࡞࠸ࡓࡵࠊ㉸㟁
ᑟ⥺ᮦࡢ୍㒊ࡢ≉ᛶࢆ≛≅࡟ࡍࡿࡼ࠺࡟㉸㟁ᑟ⥺ᮦࡢタィࢆぢ┤ࡉ࡞ࡅࢀࡤ࡞ࡽ࡞࠸ࡇ࡜ࡶ࠶ࡗ
ࡓࠋࡑࡢࡓࡵࠊ㉸㟁ᑟ⥺ᮦࡢタィࡢ⮬⏤ᗘࡀไ⣙ࡉࢀ࡚࠸ࡓࠋ
ᮏⓎ᫂ࡣࠊୖグㄢ㢟ࢆゎỴࡍࡿࡓࡵ࡟࡞ࡉࢀࡓࡶࡢ࡛࠶ࡾࠊᮏⓎ᫂ࡢ┠ⓗࡣࠊ㉸㟁ᑟ⥺ᮦࡢ⿵
ᙉ㒊࡟㐺ࡋࡓᮦᩱࢆ᥈⣴ࡍࡿᡭ㛫ࢆῶࡽࡋࠊ㉸㟁ᑟ⥺ᮦࡢタィࡢ⮬⏤ᗘࢆ㧗ࡵࡿࡇ࡜࡛࠶ࡿࠋᮏ
Ⓨ᫂ࡢ୍ែᵝ࡟ಀࡿ㉸㟁ᑟ⥺ᮦࡣࠊ㉸㟁ᑟᮦᩱ㒊ࢆྵࡴᮏయ㒊࡜ࠊ㉸㟁ᑟᮦᩱ㒊ࢆྵࡴᮏయ㒊ࢆ
ᶵᲔⓗ࡟⿵ᙉࡍࡿ⿵ᙉ㒊࡜ࢆഛ࠼ࡿࠋ⿵ᙉ㒊ࡣࠊ㖡ࡲࡓࡣ㖡ྵ᭷ྜ㔠࠿ࡽ࡞ࡿ➨㸯ࡢᮦᩱ࡜ࠊ➨
㸯ࡢᮦᩱ࡜␗࡞ࡿ➨㸰ࡢᮦᩱ࡜࠿ࡽ࡞ࡿ㠀ᅛ⁐ᛶ㖡⣔ྜ㔠࠿ࡽᐇ㉁ⓗ࡟ᵓᡂࡉࢀࡿࠋᮏ᫂⣽᭩࡟
࠾࠸࡚ࠊ㠀ᅛ⁐ᛶ㖡⣔ྜ㔠ࡣࠊ㖡ࡲࡓࡣ㖡ྵ᭷ྜ㔠࠿ࡽ࡞ࡿ➨㸯ࡢᮦᩱ࡟ࠊ➨㸯ࡢᮦᩱ࡜␗࡞ࡿ
➨㸰ࡢᮦᩱࡀᅛ⁐ࡋ࡞࠸ྜ㔠ࢆ࠸࠺ࠋᮏ᫂⣽᭩࡟࠾࠸࡚ࠊ㖡ྵ᭷ྜ㔠࡜ࡣࠊ㖡࡜௚ࡢඖ⣲ࢆྵࡴ
ྜ㔠ࢆ࠸࠸ࠊ௚ࡢඖ⣲ࡣ㖡࡟ᅛ⁐ࡋ࡚ࡶࡼ࠸ࡋࠊᅛ⁐ࡋ࡞ࡃ࡚ࡶࡼ࠸ࠋᮏ᫂⣽᭩࡟࠾࠸࡚ࠊ㠀ᅛ
⁐ᛶ㖡⣔ྜ㔠࠿ࡽᐇ㉁ⓗ࡟ᵓᡂࡉࢀࡿ࡜ࡣࠊ㠀ᅛ⁐ᛶ㖡⣔ྜ㔠࡟ຍ࠼࡚ࠊ୙ྍ㑊୙⣧≀ࢆྵࢇ࡛
ࡶࡼ࠸ࡇ࡜ࢆព࿡ࡍࡿࠋ
Ⓨ᫂ࡢຠᯝࡢຠᯝ࡜ࡋ࡚ࠊ㉸㟁ᑟ⥺ᮦࡢ⿵ᙉ㒊࡟㐺ࡋࡓᮦᩱࢆ᥈⣴ࡍࡿᡭ㛫ࢆῶࡽࡋࠊ㉸㟁ᑟ
⥺ᮦࡢタィࡢ⮬⏤ᗘࢆ㧗ࡵࡿࡇ࡜ࡀ࡛ࡁࡿࠋ
㸱㸬ᡂᯝࡢබ⾲
(1) Takayoshi Nakashima, Kohei Yamazaki, Shinichi Kobayashi, Tomohiro Kagiyama,
Masashi Kikuchi, Souichirou Takeda, Goro Osabe, Jun Fujikami, and Kozo Osamura㸹Drastic
Improvement in Mechanical Properties of DI-BSCCO Wire With Novel Lamination Material,
IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY
Vol25, No.3 (2015)
6400705 (5pp)
(2) ≉チฟ㢪ࠕ㉸㟁ᑟ⥺ᮦ࠾ࡼࡧ㉸㟁ᑟ⥺ᮦࡢ᥋⥆ᵓ㐀ࠖ ≉㢪 2015-088658
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 28 ᪥
− 38 −
㉸ఏᑟ⮫⏺㟁ὶࡢ୍㍈ᅽ⦰/
㉸ఏᑟ⮫⏺㟁ὶࡢ୍㍈ᅽ⦰/
ᘬᙇṍ౫Ꮡᛶ࡜ࡑࡢ㠀ᑐ⛠ᛶ
ᘬᙇṍ౫Ꮡᛶ࡜ࡑࡢ㠀ᑐ⛠ᛶ
≉ู◊✲ဨ 㛗ᮧග㐀
≉ู◊✲ဨ 㛗ᮧග㐀
⛉Ꮫ◊✲㈝ຓᡂ஦ᴗ Ꮫ⾡◊✲ຓᡂᇶ㔠ຓᡂ㔠㸦ᇶ┙◊✲ C㸧
⛉Ꮫ◊✲㈝ຓᡂ஦ᴗ Ꮫ⾡◊✲ຓᡂᇶ㔠ຓᡂ㔠㸦ᇶ┙◊✲ C㸧
㸯㸬┠ⓗ
㉸ఏᑟ」ྜ⥺ᮦࡢ⮫⏺㟁ὶࡢṍ౫Ꮡᛶࡣ㸰ࡘࡢせᅉ࠿ࡽ㈇Ⲵṍ࡟ᑐࡋ࡚㠀ᑐ⛠࡜࡞ࡿ࡜⪃࠼ࡽ
ࢀࡿࠋ᭱㏆ࡢ⌮ㄽⓗྲྀᢅ࠸࡟ࡼࢀࡤ⮫⏺㟁ὶࡣ㉸ఏᑟᡂศ࡟⏕㉳ࡍࡿṍࡀࢮࣟࢆ୰ᚰ࡟ᅽ⦰ṍ࡜
ᘬᙇṍ࡟ᑐࡋ࡚㠀ᑐ⛠࡟ኚ໬ࡍࡿࡇ࡜ࡀண ࡉࢀ࡚࠸ࡿࠋࡉࡽ࡟」ྜᡂศ࡛࠶ࡿ㔠ᒓ࠿ࡽࡢᙳ㡪
࡛㉸ఏᑟᡂศ࡟ࡣᅽ⦰ᛶࡢ⇕ṧ␃ṍࡀ⏕㉳ࡍࡿࡓࡵ㉸ఏᑟᡂศࡀ◚᩿ࡋ࡚⮫⏺㟁ὶࡀຎ໬ࡍࡿ㈇
Ⲵṍࡣᅽ⦰࡜ᘬᙇഃ࡛␗࡞ࡿࠋࡇࡢ」㞧ࡉࢆゎỴࡍࡿࡓࡵᅇᢡᐇ㦂࠿ࡽồࡵࡓ㉸ఏᑟᡂศ࡟⏕㉳
ࡍࡿṍ࡟ᑐࡍࡿ⮫⏺㟁ὶࡢ౫Ꮡᛶࢆㄪ࡭ࡿࡇ࡜࡟ࡼࡾࠊᥦၐࡉࢀࡿ⌮ㄽࡀࡍ࡭࡚ࡢ㉸ఏᑟᮦᩱ࡛
ྍ㏫ṍ㡿ᇦ࡟࠾ࡅࡿ⮫⏺㟁ὶࡢṍ౫Ꮡᛶࢆ⤫୍ࡋ࡚ㄝ࡛᫂ࡁࡿ࠿࡝࠺࠿᳨ドࡍࡿࠋࡉࡽ࡟ᅽ⦰◚
᩿ṍࠊᘬᙇ◚᩿ṍࠊྍ㏫㈇Ⲵṍ⠊ᅖ➼ࡢᶵᲔɆ㉸ఏᑟ≉ᛶࢆయ⣔ⓗ࡟ㄪ࡭ࠊࡑࡢไᚚ࣭ᨵⰋ᪉ἲ
ࢆ⪃᱌ࡋ⏘ᴗᛂ⏝࡟㈨ࡍࡿࠋ
㸰㸬ᡂᯝ
㉸ఏᑟ」ྜ⥺ᮦࡢ⮫⏺㟁ὶࡢṍ౫Ꮡᛶࡣ㸰ࡘࡢせᅉ࠿ࡽ㈇Ⲵṍ࡟ᑐࡋ࡚㠀ᑐ⛠࡜࡞ࡿ࡜⪃࠼ࡽ
ࢀࡿࠋ᭱㏆ࡢ⌮ㄽⓗྲྀᢅ࠸࡟ࡼࢀࡤ⮫⏺㟁ὶࡣ㉸ఏᑟᡂศ࡟⏕㉳ࡍࡿṍࡀࢮࣟࢆ୰ᚰ࡟ᅽ⦰ṍ࡜
ᘬᙇṍ࡟ᑐࡋ࡚㠀ᑐ⛠࡟ኚ໬ࡍࡿࡇ࡜ࡀண ࡉࢀ࡚࠸ࡿࠋࡉࡽ࡟」ྜᡂศ࡛࠶ࡿ㔠ᒓ࠿ࡽࡢᙳ㡪
࡛㉸ఏᑟᡂศ࡟ࡣᅽ⦰ᛶࡢ⇕ṧ␃ṍࡀ⏕㉳ࡍࡿࡓࡵ㉸ఏᑟᡂศࡀ◚᩿ࡋ࡚⮫⏺㟁ὶࡀຎ໬ࡍࡿ㈇
Ⲵṍࡣᅽ⦰࡜ᘬᙇഃ࡛␗࡞ࡿࠋࡇࡢ」㞧ࡉࢆゎỴࡍࡿࡓࡵᅇᢡᐇ㦂࠿ࡽồࡵࡓ㉸ఏᑟᡂศ࡟⏕㉳
ࡍࡿṍ࡟ᑐࡍࡿ⮫⏺㟁ὶࡢ౫Ꮡᛶࢆㄪ࡭ࡿࡇ࡜࡟ࡼࡾࠊᥦၐࡉࢀࡿ⌮ㄽࡀࡍ࡭࡚ࡢ㉸ఏᑟᮦᩱ࡛
ྍ㏫ṍ㡿ᇦ࡟࠾ࡅࡿ⮫⏺㟁ὶࡢṍ౫Ꮡᛶࢆ⤫୍ࡋ࡚ㄝ࡛᫂ࡁࡿ࠿࡝࠺࠿᳨ドࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ
ࡓࠋࡉࡽ࡟ᅽ⦰◚᩿ṍࠊᘬᙇ◚᩿ṍࠊྍ㏫㈇Ⲵṍ⠊ᅖ➼ࡢᶵᲔɆ㉸ఏᑟ≉ᛶࢆయ⣔ⓗ࡟ㄪ࡭ࠊࡑ
ࡢไᚚ࣭ᨵⰋ᪉ἲࢆ⪃᱌ࡋ⏘ᴗᛂ⏝࡟㈨ࡍࡿᇶ♏ࢹ࣮ࢱࡢ཰㞟ࢆ⾜ࡗࡓࠋ
⮫⏺㟁ὶࡢ୍㍈ᛂຊ౫Ꮡᛶࡢᐇ㦂࡟㛵ࡋ࡚ᛂ⏝⛉Ꮫ◊✲ᡤ࡟ᡤ᭷ࡍࡿᛂຊ㈇Ⲵ⎔ቃୗ࡛ࡢ⮫⏺
㟁ὶ ᐃ⿦⨨ࡢヨᩱ࣍ࣝࢲ࣮㒊ศࢆᮏ◊✲࡛ᥦ᱌ࡍࡿࢫࣉࣜࣥࢢ࣮࣎ࢻ࡟஺᥮ࡋࠊᅽ⦰ഃ࠿ࡽᘬ
ᙇഃࡲ୍࡛㍈ᛶࡢᛂຊࢆ㈇Ⲵࡋ࡚ࠊ↓☢ሙࡢࡶ࡜࡛⮫⏺㟁ὶࢆ ᐃࡍࡿ᪉ἲࢆ᏶ᡂࡋࡓࠋࡇࢀ࡟
ࡼࡾヨᩱ࡟㈞ࡾ௜ࡅࡓṍࢤ࣮ࢪ࡟ࡼࡾ㈇Ⲵṍࡢ㛵ᩘ࡜ࡋ࡚⮫⏺㟁ὶࢆ ᐃ࡛ࡁࡿࡼ࠺࡟࡞ࡗࡓࠋ
ࡲࡓ☢ሙ୰⮫⏺㟁ὶ ᐃࡢࡓࡵ⌧᭷ࡢ⮫⏺㟁ὶ ᐃ⿦⨨ࢆᨵⰋࡋ࡚ヨᩱ࡟☢ሙࢆ༳ຍࡍࡿࡓࡵࠊ
㛗ࡉ 50mmࠊᖜ 20mm ࡢヨᩱ⠊ᅖ࡟ᆒ୍☢ሙࡀ༳ຍ࡛ࡁࠊࡲࡓ☢ሙᙉᗘࢆኚື࡛ࡁࡿ⿦⨨ࡢ〇
సࡢ᳨ウࢆ⾜ࡗࡓࠋ
ᮏ◊✲ࡢ୍㒊࡜ࡋ࡚ Nb3Sn ⥺ᮦࡢ㧗ᛶ⬟໬ࢆᅗࡿࡓࡵࠊ㧗㘏⃰ᗘࣈࣟࣥࢬྜ㔠ࡢ౑⏝ࡀ᭷ຠ࡜
− 39 −
⪃࠼ࡽࢀ࡚࠸ࡿࠋࡑࡢࡓࡵ኱㜰ྜ㔠࡜ඹྠ࡛ྜ㔠㛤Ⓨࢆ⾜ࡗ࡚࠸ࡿࡀࡑࡢᡂᯝࡢ୍㒊ࢆୗグ࡟ሗ
࿌ࡍࡿࠋᐇ⏝ Nb3Sn ⥺ᮦࡢ〇㐀᪉ἲ࡟ࡣ Cu-Sn ྜ㔠㸦ࣈࣟࣥࢬ㸧࡜ Nb ࡢ⏺㠃཯ᛂࢆ฼⏝ࡋࡓ
ࣈࣟࣥࢬἲࡀᗈࡃ⏝࠸ࡽࢀ࡚࠸ࡿࠋࡲࡓࠊࣈࣟࣥࢬ࡟ Ti ῧຍࢆ⾜࠺࡜ Nb3Sn ࡢ㧗☢⏺≉ᛶࡀ᫂
░࡟ྥୖࡍࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿࡀࠊ⇕㛫ᢲฟࡸ෭㛫ఙ⥺ຍᕤ࡟࠾ࡅࡿࣈࣟࣥࢬࡢረᛶຍᕤᛶ࡟
ᑐࡋ࡚ࡶࠊ኱ࡁࡃᨵၿࡉࡏ࡚࠸ࡿࡇ࡜ࡀ᭱㏆᫂ࡽ࠿࡟࡞ࡗ࡚ࡁࡓࠋࣈࣟࣥࢬ୰ࡢ Sn ⃰ᗘࡀ ǂ ┦
ࡢ Sn ᅛ⁐㝈㸦9.1at%Sn㸧௨ୗࡢሙྜࠊTi ࡀ Sn ཬࡧ Cu ࡜୕ඖ໬ྜ≀ࢆᙧᡂࡋ࡚ ǂ ┦୰ࡢᐇ㉁
ⓗ࡞ Sn ⃰ᗘࢆᘬࡁୗࡆ࡚ࠊ෭㛫ຍᕤࢆᐜ᫆࡟ࡉࡏ࡚࠸ࡿࠋࡉࡽ࡟ Sn ᅛ⁐㝈ࢆ኱ᖜ࡟ୖᅇࡿ㧗
Sn ⃰ᗘࣈࣟࣥࢬ࡛ࡣࠊຍᕤࢆ㜼ᐖࡍࡿ⢒኱࡞ Dž ┦㸦Cu41Sn11㸧ࡢᯒฟࡀᢚไࡉࢀ࡚ Ti ᇶ୕ඖ໬
ྜ≀ࡀඃඛⓗ࡟⏕ᡂࡍࡿࠋࡑࢀࡽࡣ㘫㐀➼࡟ࡼࡾᐜ᫆࡟ᚤ⣽ศᩓࡉࡏࡿࡇ࡜ࡀ࡛ࡁࠊ㧗 Sn ⃰ᗘ
ࣈࣟࣥࢬࡢ෭㛫ຍᕤᛶࡀ᱁ẁ࡟ྥୖࡋ࡚ከⰺ⥺ᮦࡢヨసࡀ⾜ࢃࢀ࡚࠸ࡿࠋࡇࡢࡼ࠺࡟ࠊCu-Sn-Ti
୕ඖ⣔ࣈࣟࣥࢬྜ㔠ࡣࠊNb3Sn ⥺ᮦࡢᛶ⬟ྥୖࡢ✺◚ཱྀࡢ୍ࡘ࡛࠶ࡾࠊࡑࡢᮦᩱ⛉Ꮫⓗ࡞ヲ⣽ࢆ
⌮ゎࡍࡿࡇ࡜ࡣ㠀ᖖ࡟㔜せ࡛࠶ࡿࠋᮏ◊✲࡛ࡣࠊ㧗 Sn ⃰ᗘࣈࣟࣥࢬྜ㔠ࡢ㔠ᒓ⤌⧊୪ࡧ࡟ẕᮦ
୰࡟ᯒฟࡍࡿ Ti ᇶ୕ඖ໬ྜ≀࡟ࡘ࠸࡚ヲ⣽࡞ㄪᰝࢆ⾜ࡗ࡚ࡁࡓࠋ
ᐇ㦂᪉ἲ࡜ࡋ࡚ࡣཎᩱ࡟㟁Ẽ㖡ᯈᮦ㸦⣧ᗘ 3Nup㸧ࠊSn ሢᮦ㸦⣧ᗘ 3Nup㸧ཬࡧ Ti ࣃ࢖ࣉᮦ(⣧
ᗘ 2.5Nup㸧ࢆ⏝࠸ࠊỈ⏣ᘧ⁐〇ἲ࡟ࡼࡾᐇ㦂ྜ㔠ࢆ⁐〇ࡋࡓࠋ㓄ྜ⤌ᡂࡣ Cu-10.5at%Sn0.72at%Ti ࡜ࡋࡓࠋ⁐〇ሢ࠿ࡽ⣙ 10mm ゅࡢ❧᪉యࣈࣟࢵࢡࢆ」ᩘಶษࡾฟࡋࠊᡤᐃࡢ ᗘ࡜᫬
㛫ࡢ⇕ฎ⌮ࢆ኱Ẽ୰࡛⾜ࡗࡓࠋ⇕ฎ⌮ᚋࡣࠊ⅔ෆ࠿ࡽ⣲᪩ࡃヨᩱࢆྲྀࡾฟࡋ࡚Ỉ෭ᛴ෭ࡋࠊ⇕ฎ
⌮᮲௳ୗࡢ⤌⧊ࡢ෾⤖ࢆ⾜ࡗࡓࠋ⇕ฎ⌮ᚋࡢヨᩱࡣ㙾㠃◊☻ࢆ⾜ࡗࡓᚋࠊ㟁⏺ᨺฟᆺ㟁Ꮚ⥺࣐࢖
ࢡࣟ࢔ࢼࣛ࢖ࢨ࣮(EPMA㸸᪥ᮏ㟁Ꮚ〇 JXA-8500F)࡛⤌⧊ほᐹཬࡧ⤌ᡂศᯒࢆ⾜ࡗࡓࠋEPMA ࡛
ࡢᐃ㔞ศᯒࡣຍ㏿㟁ᅽ 15kVࠊ↷ᑕ㟁ὶ 20nA ࡛ࠊZAF࣭⿵ṇἲ࡟ࡼࡾ⾜࠸ࠊඖ⣲࣐ࢵࣆࣥࢢࡣ
ຍ㏿㟁ᅽ 15kVࠊ↷ᑕ㟁ὶ 50nA ࡛ࠊࢫࢸ࣮ࢪࢫ࢟ࣕࣥἲ(1000 ಸ)࡟࡚ྛඖ⣲ࡢ≉ᛶ X ⥺ࢆ᳨ฟ
ࡋࡓࠋᚓࡽࢀࡓ≉ᛶ X ⥺ᙉᗘࢆࡋࡁ࠸ศࡅࡋ࡚ࠊᯒฟ⢏Ꮚࡢ㠃✚ࢆ⏬ീゎᯒ࡟ࡼࡾồࡵࡓࠋ
ඛ࡟ዉ㈡➼ࡣࠊCu-Sn-Ti ୕ඖ⣔࡟࠾࠸࡚ CuSn3Ti5 ┦࡜ CuSnTi ┦(௨ୗ Ti135 ┦ཬࡧ Ti111
┦࡜␎ࡍ)ࡢᏑᅾࢆሗ࿌ࡋ࡚࠸ࡿࠋᮏ◊✲࡟࠾࠸࡚ࡶࠊࡑࢀࡽ஧✀㢮ࡢ Ti ᇶ୕ඖ໬ྜ≀ࡀ EPMA
࡟ࡼࡿᐃ㔞ศᯒ࡛☜ㄆࡉࢀࡓࠋTi ඖ⣲ࡢ࣐ࢵࣆࣥࢢࢆ⾜࠸ࠊTi ࡢ≉ᛶ㹖⥺ᙉᗘࡀ⃰ᗘ࡟ẚ౛ࡍࡿ
ࡶࡢ࡜ࡋ࡚ࠊ⏬ീゎᯒ࡟ࡼࡾ Ti135 ┦࡜ Ti111 ┦ࡢ๭ྜࢆồࡵࡓࠋ550ºC ࡢ⇕ฎ⌮࡟࠾ࡅࡿ Ti135
┦࡜ Ti111 ┦ࡢ㠃✚๭ྜࡢ᫬㛫౫Ꮡᛶࢆㄪᰝࡍࡿ࡜ࠊจᅛᚋࡢ⤌⧊࡛ࡣࠊTi135 ┦ࡢ㠃✚ࡀከࡃ
඲యࡢ 9 ๭௨ୖࢆ༨ࡵࡿࠋࡑࡢᚋࠊ
⇕ฎ⌮᫬㛫ࡢ⤒㐣࡜࡜ࡶ࡟ Ti111 ┦ࡢ㠃✚ẚࡀᛴ⃭࡟ቑຍࡋࠊ
30min ࢆ㐣ࡂ 60min ࡟࡞ࡿ࡜๭ྜࡀ཯㌿ࡋ࡚ࠊTi111 ┦ࡀ୺┦࡜࡞ࡿࠋ300min ࢆ㐣ࡂࡿ࡜㠃✚
ࡢኚ໬ࡣ⦆៏࡟࡞ࡿࡀࠊ౫↛࡜ࡋ࡚ 1440min ࡟࠾࠸࡚ࡶ Ti111 ┦ࡢቑຍ๭ྜࡀṇ࡛࠶ࡿࡇ࡜ࡀ
ࢃ࠿ࡿࠋ⇕ᖹ⾮࡟㐩ࡍࡿࡓࡵ࡟ࡣ᭦࡟᫬㛫ࡀ࠿࠿ࡿ࡜᥎ᐃࡉࢀࡿࡀࠊ
550ºC ࡛ࡣ Ti135 ┦࠿ࡽ Ti111
┦࡬ࡢ┦ኚែࡀ㉳ࡇࡿ࡜᩿ᐃࡉࢀࡿࠋḟ࠸࡛ࠊ550ºC ࡛ 1440 min ࡢ⇕ฎ⌮ࢆ⾜ࡗ࡚ Ti111 ┦ࡀ
୺┦࡜࡞ࡗࡓヨᩱࢆึᮇ≧ែ࡜ࡋࠊ750ºC ࡛ࡢ Ti135 ┦ཬࡧ Ti111 ┦ࡢ㠃✚๭ྜࡢ᫬㛫ኚ໬ࢆㄪ
࡭ࡓࠋ750ºC ࡛ࡣࠊࢃࡎ࠿ 30min ࡢ➼ ಖᣢ࡛㠃✚ẚࡀ㏫㌿ࡋࠊTi135 ┦ࡀ Ti111 ┦ࡼࡾࡶ኱ᖜ
࡟ከࡃ࡞ࡿࡇ࡜ࡀࢃ࠿ࡗࡓࠋࡑࡢᚋࠊ100min ࡢ⇕ฎ⌮࡛ Ti135 ┦ࡢ㠃✚ẚࡣ࡯ࡰ 100㸣࡟࡞ࡾࠊ
⇕ᖹ⾮≧ែ࡟㐩ࡋ࡚࠸ࡿࠋ550ºC ࡛ࡢ┦ኚែ࡜ẚ㍑ࡍࡿ࡜ࠊ750ºC ࡢ㧗 ࡛ࡣ⇕ᖹ⾮࡟㐩ࡍࡿኚ
ែ᫬㛫ࡀ▷ࡃ࡞ࡿ࡜᥎ᐃࡉࢀࡿࠋࡇࡢࡼ࠺࡟ࠊTi ᇶ୕ඖ໬ྜ≀┦ࡣ㧗 ࡛ࡣ Ti135 ┦ࠊప ࡛ࡣ
Ti111 ┦ࡀ୺࡟Ꮡᅾࡍࡿࡇ࡜ࡀᮏ◊✲࡟ࡼࡾ᫂ࡽ࠿࡜࡞ࡗࡓࠋ
− 40 −
᭱㏆࡛ࡣ」ᩘࡢ࣓࣮࢝࠿ࡽ REBa2Cu3O6+x (RE=Y,Gd)ࢸ࣮ࣉ⥺ࡀᕷ㈍ࡉࢀࡿࡲ࡛࡟࡞ࡗ࡚ࡁ࡚
࠸ࡿࠋࡇࢀࡽࡢ⥺ᮦࢆ㉸㟁ᑟᶵჾ࡟౑⏝ࡍࡿࡓࡵ࡟ࡣࠊㅖ≉ᛶࢆඹ㏻໬ࡉࢀࡓ ᐃ᪉ἲ࡛ẚ㍑᳨
ウࡍࡿࡇ࡜ࡀồࡵࡽࢀࡿࠋᮏᖺᗘࡣ≉࡟ 77K ࡟࠾ࡅࡿᶵᲔ≉ᛶࠊ⮫⏺㟁ὶࡢṍ౫Ꮡᛶ➼ࡢ ᐃࢆ
⾜࠸ࠊ ᐃ᪉ἲࡢᶆ‽໬(つ᱁໬)࡟ࡘ࠸᳨࡚ウࡋࡓࡢ࡛ሗ࿌ࡍࡿࠋ
౪ヨᩱ࡟ࡣᕷ㈍ࡉࢀ࡚࠸ࡿࠊࡇࡇ࡛ࡣ A,B,C,D ࡜⛠ࡍࡿ㸲✀㢮ࡢ REBCO ࢸ࣮ࣉ⥺ᮦࢆ⏝࠸ࡓࠋ
ᓥὠ〇సᡤ〇ᘬᙇヨ㦂ᶵࢆ⏝࠸ࢳࣕࢵࢡ㛫㊥㞳 10cm ࡛ᅜ㝿ᶆ‽ IEC-61788-XX ࡟‽ࡌ࡚ᐊ ࡛
ᘬᙇヨ㦂ࢆ⾜ࡗࡓࠋࡉࡽ࡟ヨᩱ㒊ศࢆᾮయ❅⣲࡟ᾐₕࡋࠊྠᵝࡢᘬᙇヨ㦂ࢆ⾜ࡗࡓࠋࡉࡽ࡟ᘬᙇ
ヨ㦂࡜࡯ࡰྠᵝࡢヨᩱ㓄⨨࡛ヨᩱ࡟㟁ᅽ➃Ꮚࢆྲྀࡾ௜ࡅࠊࢳࣕࢵࢡ㒊ศ࠿ࡽ㟁ὶࢆὶࡋ࡚ I-V ᐃࢆ⾜࠸⮫⏺㟁ὶཬࡧ㹬್ࢆỴᐃࡋࡓࠋ
ᐊ ࠾ࡼࡧ 77K ࡛ ᐃࡋࡓᘬᙇヨ㦂⤖ᯝࢆẚ㍑᳨ウࡋࡓࠋࣖࣥࢢ⋡ࡣึᮇ໙㓄࠾ࡼࡧ 0.2%⛬
ᗘᘬᙇࡗࡓᚋ㝖Ⲵࡋࡓ࡜ࡁࡢ໙㓄࡜࠿ࡽỴᐃࡋࡓࠋࡲࡓ㝆అ᮲௳ࢆ▱ࡿࡓࡵ 0.2%⪏ຊࢆồࡵࡓࠋ
୍⯡ⓗ࡞ഴྥ࡜ࡋ࡚ࣖࣥࢢ⋡ࡣ 5㸣⛬ᗘ 77K ࡛኱ࡁࡃ࡞ࡿࡇ࡜ࠊ㝆అᚋࡢ⪏ຊࡣప ࡟࡞ࡿ࡜኱
ᖜ࡟ୖ᪼ࡍࡿࡇ࡜ࡀ᫂ࡽ࠿࡜࡞ࡗࡓࠋࡇࡢࡼ࠺࡞ᐊ ࠿ࡽ 77K ࡬ࡢᶵᲔⓗᛶ㉁ࡢᣲືࡣጇᙜ࡞ࡶ
ࡢ࡛࠶ࡾࠊࡇࡢࡇ࡜ࡼࡾᐊ ࡛ࡢヨ㦂᪉ἲ࡟‽ࡌ࡚ᾮయ❅⣲ ᗘ࡛⾜ࡗࡓヨ㦂⤖ᯝࡣ༑ศ࡟෌⌧
ᛶࡢ࠶ࡿಙ㢗ᛶࡢ࠶ࡿ⤖ᯝࡀᚓࡽࢀࡓࠋࡇࡢᾮయ❅⣲ ᗘ࡛ࡢᘬᙇヨ㦂⤖ᯝࢆࡶ࡜࡟ᅜ㝿ᶆ‽ࢆ
ᥦ᱌ࡍࡿ㊊ࡀ࠿ࡾࡀᚓࡽࢀࡓ࡜⪃࠼ࡽࢀࡿࠋ
⮫⏺㟁ὶࡢᘬᙇṍ౫Ꮡᛶࢆḟࡢᡭ㡰࡛⾜ࡗࡓࠋࡲࡎᘬᙇṍࢮࣟࡢ≧ែ࡛⮫⏺㟁ὶࢆ ᐃࡋ Ic0
࡜ࡍࡿࠋḟ࡟ Aa ࡲ࡛ᘬᙇṍࢆ༳ຍࡋࡓ≧ែ࡛ ᐃࡋࡓ⮫⏺㟁ὶࢆ Ic ࡜ࡍࡿࠋࡉࡽ࡟ᘬᙇᛂຊࢆ
ࢮࣟ࡟ࡋࡓ≧ែ࡛ࡢ⮫⏺㟁ὶࢆ Icr ࡜ࡍࡿࠋIc ࡣᘬᙇṍࡀቑຍࡍࡿ࡜ῶᑡࡍࡿࠋࡑࡢཎᅉࡣ(1)ᵝࠎ
࡞㉸㟁ᑟ≉ᛶࢆᨭ㓄ࡍࡿࣃ࣓࣮ࣛࢱࡢṍ౫Ꮡᛶ࡟⏤᮶ࡍࡿྍ㏫ṍຠᯝ࡜(2)㉸㟁ᑟᒙࡢ◚᩿࡟ࡼࡿ
ࡶࡢ࡜ࡀ⪃࠼ࡽࢀࡿࠋࡇࡇ࡛ Icr ࡣእ㒊ᛂຊࢆࢮࣟ࡟ࡋࡓ᫬ࡢ್࡛࠶ࡾࠊࡶࡋ㉸㟁ᑟᒙࡢ◚᩿࡟ࡼ
ࡿຎ໬ࡀ࡞ࡅࢀࡤ Ic0 ࡟ᡠࡿࡣࡎ࡛࠶ࡿࠋᐇ㦂⤖ᯝࡀ♧ࡍࡼ࠺࡟኱ࡁ࡞ᘬᙇṍࢆ༳ຍࡋࡓᚋ࡛ࡣ
Icr ࡣ Ic0 ࡟ᡠࡽ࡞࠸ࠋࡘࡲࡾ Icr/Ic0 ࡢẚࡢ㸯࠿ࡽࡢῶᑡࢆほ ࡍࡿࡇ࡜࡟ࡼࡾྍ㏫㝈⏺ṍࢆぢᐃࡵ
ࡿࡇ࡜ࡀ࡛ࡁࡿࠋࡇࡇ࡛ࡣ Icr/Ic0=0.99 ࢆᐇ⏝ⓗ࡞ྍ㏫㝈⏺ṍ/ᛂຊ࡜ᐃ⩏ࡋ࡚ࠊヨᩱࡈ࡜ࡢ್ࢆ
ᐇ㦂ⓗ࡟ồࡵࡓࠋ
ᐇ⏝㉸㟁ᑟ⥺ࢆᵝࠎ࡞ᛂ⏝࡟౪ࡍࡿ࡜ࡁࠊᶵჾࡢ〇స㐣⛬࡛ᶵᲔⓗኚᙧࡀຍࢃࡾࠊࡲࡓప ࡬
ࡢ෭༷㐣⛬ࠊ☢ሙ୰࡛㟁ὶࢆὶࡍືస୰࡟ᘬᙇࠊᅽ⦰ࠊ᭤ࡆ➼ࡢᵝࠎ࡞ᶵᲔⓗኚᙧࡀຍࢃࡿࠋࡇ
ࡢࡼ࠺࡞⎔ቃ୰࡛㉸㟁ᑟ⥺ࡢ೺඲ᛶࢆ๓௨࡚ぢᐃࡵ࡚࠾ࡃࡇ࡜ࡣ㔜せ࡛࠶ࡿࠋࡇࡇ࡛ᢅࡗࡓྍ㏫
㝈⏺ṍ࠾ࡼࡧᛂຊࡣ㉸㟁ᑟ⥺ࡢᏳ඲࡞౑⏝㝈⏺ࢆ୚࠼ࡿ㔜せ࡞ࣃ࣓ࣛɆࢱ࡜࡞ࡿࠋࡑࡇ࡛ᅜ㝿ᶆ
‽࡟ࡼࡾࡑࡢ ᐃ᪉ἲ࠾ࡼࡧỴᐃ᪉ἲࢆỴࡵ࡚࠾ࡃࡇ࡜ࡣ㔜せ࡜⪃࠼ࡽࢀࡿࠋ࡞࠾ࡇࡇ࡛ࡣ
Icr/Ic0=0.99 ࡜ࡋࡓࡀࠊࡇࢀࡀጇᙜ࡛࠶ࡿ࠿ࡣ㆟ㄽࡀ࡞ࡉࢀࡿ࡭ࡁ࡜ࡇࢁ࡜⪃࠼ࡽࢀࡿࠋ
㸱㸬ᡂᯝࡢබ⾲
(1) ㇂ཱྀ༤ᗣࠊ㛗ᮧග㐀ࠊ⳥ụ❶ᘯ; Nb3Sn㉸㟁ᑟ⥺⏝ࣈࣟࣥࢬ୰ࡢTi ᇶ୕ඖ໬ྜ≀ࡢᣲືࠊప
ᕤᏛ50(2015)ࠊ186–193
(2) 㛗ᮧග㐀ࠊ⏫ᒇಟኴ㑻ࠊすᓥඖ;ᐇ⏝REBCOࢸ࣮ࣉ⥺ࡢ77K࡟࠾ࡅࡿᶵᲔɆ㉸㟁ᑟ≉ᛶࠊ➨91
ᅇ2015ᖺᗘ᫓Ꮨప ᕤᏛ࣭㉸㟁ᑟᏛ఍ࠊㅮ₇ᴫせ㞟88㡫
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 28 ᪥
− 41 −
᰾⼥ྜ⅔⏝㉸ఏᑟ⥺ᮦࡢ㔞Ꮚࣅ࣮࣒ࢆ⏝࠸ࡓ
ᛂຊ࣭ṍຠᯝ࡟㛵ࡍࡿ◊✲
≉ู◊✲ဨ 㛗ᮧග㐀
ཷクඛྡ㸸⮬↛⛉Ꮫ◊✲ᶵᵓ᰾⼥ྜ⛉Ꮫ◊✲ᡤ
㸦㹊㹆㹂ィ⏬ඹྠ◊✲㸧
㸯㸬┠ⓗ
FFHR ࢆ᝿ᐃࡋࡓ」ྜ㉸ఏᑟ⥺ᮦ࠾ࡼࡧ኱ᆺ㉸ఏᑟᑟయࡢᶵᲔ≉ᛶࠊ㉸ఏᑟ≉ᛶࡢᛂຊ࣭ṍຠ
ᯝࢆࠊィ⟬ᶵࢆ⏝࠸ࡓ⌮ㄽண ࡜ࡑࡢᐇ㦂࡟ࡼࡿ᳨ドࢆ㏻ࡋ࡚ゎ᫂ࡋࠊ௒ᚋࡢ࣊ࣜ࢝ࣝᆺ⇕᰾⼥
ྜ⅔ࡢ◊✲㛤Ⓨࡸࡉࡽ࡟ ITER ࣉࣟࢪ࢙ࢡࢺ࡟㈨ࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋࡓ◊✲ࢆ⾜࠺ࠋ
㸰㸬ᡂᯝ
᭱㏆ ITER ࣉࣟࢪ࢙ࢡࢺ࡟౑⏝ࡉࢀࡿ Nb3Sn ⥺ᮦࡢ⮫⏺㟁ὶࡢṍ౫Ꮡᛶ࡟㛵ࡍࡿᅜ㝿࣋ࣥࢳ࣐
࣮ࢡヨ㦂ࡀᐇ᪋ࡉࢀࡓࠋ⮫⏺㟁ὶࡀᴟ኱࡟࡞ࡿ༳ຍṍࡢ್ࡣ◊✲ᶵ㛵ࡀ⏝࠸ࡓ࣍ࣝࢲ࣮ࡢᵓ㐀࡟
ࡼࡾ␗࡞ࡿࡇ࡜ࡀ᫂ࡽ࠿࡟ࡉࢀࡓࠋࡇࡢ࣍ࣝࢲ࣮ᵓ㐀౫Ꮡᛶࢆ㆟ㄽࡍࡿࡓࡵ࡟ࡣ┿࡟ Nb3Sn ࣇ࢕
࣓ࣛࣥࢺ࡟⏕㉳ࡍࡿᒁᡤṍࢆ▱ࡽࡡࡤ࡞ࡽ࡞࠸ࠋᮏሗ࿌࡛ࡣ୰ᛶᏊᅇᢡἲ࡛ồࡵࡓ Nb3Sn ࣇ࢕ࣛ
࣓ࣥࢺ࡟⏕㉳ࡍࡿᒁᡤṍࡢ༳ຍṍ౫Ꮡᛶ࠾ࡼࡧࡑࡢゎᯒ⤖ᯝ࡟ࡘ࠸࡚ሗ࿌ࡍࡿࠋ
ᮏ◊✲࡛⏝࠸ࡓࣈࣟࣥࢬἲ Nb3Sn ⥺ᮦࡣᅜ㝿࣋ࣥࢳ࣐࣮ࢡヨ㦂࡟⏝࠸ࡽࢀࡓ࡜ྠࡌ Twente
኱Ꮫ࡛⇕ฎ⌮ࡉࢀࡓࡶࡢ࡛࠶ࡗࡓࠋᒁᡤṍ ᐃࡣ୰ᛶᏊᅇᢡ࡟ࡼࡾ᱁Ꮚᐃᩘኚ໬ࢆ⢭ᐦ࡟ ᐃࡍ
ࡿ᪉ἲ࡛ J-PARC TAKUMI ࡟⿦ഛࡉࢀ࡚࠸ࡿప ᘬᙇ⿦⨨ࢆ⏝࠸࡚ᐇ᪋ࡋࡓࠋᮏ⿦⨨࡛ࡣ⥺ᮦ
ࡢ㍈᪉ྥ࡜ᶓ᪉ྥࡢṍࢆྠ᫬࡟ồࡵࡿࡇ࡜ࡀ࡛ࡁࡿࠋࡲࡓྠ᫬࡟」ᩘࡢᅇᢡ⥺ࢆ ᐃ࡛ࡁࡿࡢ࡛ࠊ
Nb3Sn ࡢሙྜ࡟ࡣ(210)ࠊ(211)ࠊ(321)ᅇᢡ⥺࠿ࡽṍࢆồࡵࡓࠋ
ప ᘬᙇ⿦⨨࡛฿㐩᭱ప ᗘࡲ࡛෭༷ࡋࡓ≧ែ࡛⥺ᮦ୰ࡢ Nb3Sn ࣇ࢕࣓ࣛࣥࢺ࡟⏕㉳ࡍࡿ⇕ṍ
T
lattice 㸧ࢆィ ࡋࡓࠋᚑࡗ࡚ Nb3Sn 㸧ࢆ ᐃᚋࠊ⥺ᮦ࡟༳ຍṍࢆ୚࠼ࠊࡑࡢ᫬ࡢ᱁Ꮚṍ㸦 ANb
㸦 ANb
3 Sn
3 Sn
local
T
lattice
ࣇ࢕࣓ࣛࣥࢺ࡟⏕㉳ࡍࡿᒁᡤṍࡣ ANb
࡛୚࠼ࡽࢀࡿࠋ8.5K ࡟࠾ࡅࡿ Nb3Sn
3 Sn ( A) = ANb 3 Sn + ANb 3 Sn ( A)
ࣇ࢕࣓ࣛࣥࢺ࡟⏕㉳ࡍࡿᒁᡤṍࡢ༳ຍṍ౫Ꮡᛶ࡟ࡘ࠸࡚ࡣࠊ⥺ᮦ㍈᪉ྥࡢᒁᡤṍ࡟ࡘ࠸࡚⇕ṍࡣ -0.22%ࡢᅽ⦰ṍ࡛࠶ࡾࠊእ㒊࠿ࡽ༳ຍࡋࡓṍ࡟ᑐࡋ࡚࡯ࡰ┤⥺ⓗ࡟᱁Ꮚṍࡣቑຍࡋࡓࠋ㸱ࡘࡢ᱁
Ꮚ㠃࠿ࡽᚓࡽࢀࡓ᱁Ꮚṍࡢ༳ຍṍ࡟ᑐࡍࡿ໙㓄ࡣ(210)㠃࠿ࡽࡢ್ࡀ᫂ࡽ࠿࡟ᑠࡉ࠸ࠋࡇࢀࡣ[210]
᪉ྥࡢࣖࣥࢢ⋡ࡀ௚࡟㍑࡭࡚኱ࡁ࠸ࡇ࡜࡜▩┪ࡋ࡞࠸ࠋ
༳ຍṍࢆቑຍࡉࡏ࡚⾜ࡃ࡜ࠊ࠶ࡿ್(Aff㸸force free strain)࡛ᒁᡤṍࡣࢮࣟ࡜࡞ࡿࠋࡇࡇ࡛⥺ᮦ
ࡢ㍈᪉ྥࡢ Nb3Sn ࣇ࢕࣓ࣛࣥࢺ࡟⏕㉳ࡍࡿᒁᡤᛂຊࡣࢮࣟ࡜࡞ࡿࠋNb3Sn ⥺ᮦࡢ⮫⏺㟁ὶᴟ኱
࡟㛵ࡋ࡚࠸ࡃࡘ࠿ࡢ⌮ㄽࡀ࠶ࡿࡀࠊࡑࡢጇᙜᛶࢆ㆟ㄽࡍࡿࡓࡵ࡟㔜せ࡞ࢹ࣮ࢱ࡛࠶ࡿࠋᅜ㝿࣋ࣥ
ࢳ࣐࣮ࢡヨ㦂ࡢሗ࿌࡟ࡼࢀࡤ⮫⏺㟁ὶᴟ኱ࡣ࣍ࣝࢲ࣮࡜ࡋ࡚ Ti-Al-V ࠾ࡼࡧ Cu-Be ࢆ⏝࠸ࡓ࡜ࡁ
࡟ 0.10%࠾ࡼࡧ 0.33%ࡢ༳ຍṍࡢ࡜ࡁ࡟ฟ⌧ࡋ࡚࠸ࡓࠋ
− 42 −
୍᪉⥺ᮦࡢᶓ᪉ྥࡢᒁᡤṍࡢኚ໬࡟ࡘ࠸࡚ࡣࠊ⇕ṍࡣᘬᙇᛶ࡛ 0.043%࡛࠶ࡾࠊ༳ຍṍ࡜࡜ࡶ
࡟࡯ࡰ┤⥺ⓗ࡟ᅽ⦰᪉ྥ࡟ῶᑡࡍࡿࠋᶓ᪉ྥࡢ force free strain ࡣ⥺ᮦ㍈᪉ྥࡢ್࡜ࡣ␗࡞ࡗ࡚
࠸ࡿࠋࡍ࡞ࢃࡕ೫ᕪṍࡀ᏶඲࡟ࢮࣟ࡟࡞ࡿ≧ែࡣฟ⌧ࡋ࡚࠸࡞࠸ࠋ
㖡࠾ࡼࡧࣈࣟࣥࢬ࣐ࢺࣜࢵࢡࢫࡢ᱁Ꮚṍࡢ༳ຍṍ౫Ꮡᛶ࡟㛵ࡋ࡚ࡣࠊࣈࣟࣥࢬ୰ࡢࢫࢬ⃰ᗘࡣ
᭱ึ 15.5wt%࡛࠶ࡗࡓࡀ Nb3Sn ࡢ⏕ᡂ࡟ࡼࡾ 0.9wt%࡟ῶᑡࡋ࡚࠾ࡾࠊほ ࡉࢀࡓᅇᢡ⥺ࡣ㔜࡞
ࡗ࡚࠾ࡾࡇࡇ࡛ࡣ୍ࡘࡢ┦࡜௬ᐃࡋ࡚ゎᯒࢆ⾜ࡗࡓࠋ᱁Ꮚṍࡢ༳ຍṍ౫Ꮡᛶࡣ඾ᆺⓗ࡞ᙎ㺃ረᛶᣲ
ືࢆ♧ࡍࠋረᛶኚᙧࡢ⛬ᗘࡣ[111] > [220] > [200]ࡢ㡰࡟኱ࡁࡃ࡞ࡿࡀࠊྛࠎࡢ⤖ᬗ㍈᪉ྥࡢࣖࣥ
ࢢ⋡ࡢ኱ࡁࡉ࡜㛵ಀࡋ࡚࠸ࡿࠋ
ᮏ◊✲࡛ࡣ Nb3Sn ⥺ᮦࢆᵓᡂࡍࡿ㉸㟁ᑟࣇ࢕࣓ࣛࣥࢺࠊNb ࣂ࣮ࣜࣖࠊCu ࠾ࡼࡧࣈࣟࣥࢬࡢ
ᴟప ࡟࠾ࡅࡿᒁᡤṍࡢᣲືࢆヲ⣽࡟ゎᯒࡋࡓࠋࡇࢀࡽࡢࢹ࣮ࢱࢆࡶ࡜࡟௒ᚋ⮫⏺㟁ὶᴟ኱࡜ᒁ
ᡤṍࡢ㛵ಀ࡟ࡘ࠸࡚᫂ࡽ࠿࡟ࡋ࡚ࡺࡁࡓ࠸ࠋ
㸱㸬ᡂᯝࡢබ⾲
Kozo Osamura, Shutaro Machiya, Stefanus Harjo, Tatsushi Nakamoto, Najib Cheggour and
Arend Nijhuis㸹Local Strain Exerted on Nb3Sn Filaments in an ITER Strand, Supercond.
Sci.Technol.28(2015),045016(9pp)
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 28 ᪥
− 43 −
ᩥ໬㈈࣭⨾⾡ရ➼ࡢಖᏑ࡜ᬑཬࡢࡓࡵࡢ
ᩥ໬㈈࣭⨾⾡ရ➼ࡢಖᏑ࡜ᬑཬࡢࡓࡵࡢ
࢔࣮࢝࢖ࣈసᡂἲࡢ◊✲࣭㛤Ⓨ
࢔࣮࢝࢖ࣈసᡂἲࡢ◊✲࣭㛤Ⓨ
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
≉ู◊✲ဨ㻌
≉ู◊✲ဨ㻌 ஭ᡭள㔛ᩍᤵ
஭ᡭள㔛ᩍᤵ
㸯㸬┠ⓗ
኱ᆺ࠿ࡽᑠᆺࡲ࡛ࡢ⤮⏬➼ࢆ㉸⣽ᐦ࡟ࢫ࢟ࣕࣥࡋࠊᐇ≀ࡢᣢࡘ᝟ሗ㸦ᑍἲࠊⰍᙬ㸧ࢆṇ☜࡟グ
㘓ࠊ⾲♧࡛ࡁࡿᢏ⾡࡟ࡘ࠸࡚◊✲㛤Ⓨࢆ⾜࠺ࠋ
㸰㸬ᡂᯝ
ᮏ◊✲㛤Ⓨෆᐜࡣࠊ୺࡟஧ࡘ࡟ศࡅࡽࢀࡿࡇ࡜ࡀ࡛ࡁࡿࠋ
➨୍㒊࡜ࡋ࡚ࡣࠊ஧ḟඖ࣭୕ḟඖᑐ㇟≀ࡢ㧗ゎീ⏬ീࢆྲྀᚓࡍࡿࡓࡵࡢᢏ⾡㛤Ⓨ࡜ᶵჾタィࠊ
ࡑࡋ࡚〇㐀ࡀ࠶ࡆࡽࢀࡓࠋ⏬ീྲྀᚓᶵჾࡣࠊග※ࠊගᏛᶵჾ㸦࣓࢝ࣛࠊࣞࣥࢬࠊࣇ࢕ࣝࢱ࣮➼㸧ࠊ
ࣇ࣮࣒ࣞᵓ㐀㸦ᶵჾ඲యࡢᙧ≧ࢆᙧᡂࡋࠊ⦪ᆺࠊᶓᆺࠊᅇ㌿ᆺ➼ࡀ࠶ࡿ㸧ࡢ୕ࡘࡢせ⣲࡛ᵓᡂࡉ
ࢀࠊࡇࢀࡽࢆ᭱㐺࡟⤌ࡳྜࢃࡏࡿࡇ࡜࡟ࡼࡗ࡚タィ࣭〇㐀ࢆ⾜ࡗ࡚ࡁࡓࠋග※㛤Ⓨ࡟࠾࠸࡚ࡣࠊ
LED ᢏ⾡࡟ᇶ࡙ࡁࠊ࿘Ἴᩘ࠾ࡼࡧ✵㛫ⓗᙉᗘศᕸࡢᆒ୍ᛶࢆ㧗ࡵࡓ᭱㧗Ỉ‽ࡢග※ࢆタィࡍࡿࡇ
࡜࡟ᡂຌࡋࡓࠋගᏛᶵჾ࡟ࡘ࠸࡚ࡣࠊࣞࣥࢬ࡜࣓࢝ࣛࡢࢩࢫࢸ࣒ࢆ᭱㐺໬ࡋࠊ5μm/pixel~300μm/pixel
࡛⏬ീࡢ✵㛫ゎീᗘࡢᰂ㌾ᛶࢆ㧗ࡵࡿࡇ࡜࡟ࡼࡗ࡚ࠊ⏬ീࡢⰍᙬࡸᡂศࡢ㧗ᗘ࡞ศᯒࡀྍ⬟࡜࡞
ࡗࡓࠋࣇ࣮࣒ࣞᵓ㐀ࡢタィ࡟ࡘ࠸࡚ࡣࠊࡼࡾ⮬⏤ᗘࡢ㧗࠸௙⤌ࡳ㸦ࣔࢪ࣮ࣗࣝ໬㸧ࢆ㛤Ⓨࡍࡿࡇ
࡜࡛ࠊᑐ㇟≀ࡢᙧ≧ࡸࢧ࢖ࢬ࡟ྜࢃࡏࡓᵓᡂ࡟ࡍࡿࡇ࡜ࡀྍ⬟࡜࡞ࡗࡓࠋࡲࡓࠊ༤≀㤋࣭⨾⾡㤋
➼࡛ࡢᒎ♧≀࡞࡝ࡣࠊࡑࡢሙ࡟࠾࠸࡚ࠊᒎ♧ࡋࡓࡲࡲࡢ᧜ീࡀᐜ᫆࡟ྍ⬟࡜࡞ࡿᵓ㐀࡜࡞ࡗࡓࠋ
➨஧㒊࡜ࡋ࡚ࡣࠊᩥ໬㈈ࡸ㔜せ⨾⾡ရࡢಖᏑ࣭ಟ᚟➼࡟ᙺ❧ࡘ᝟ሗᥦ౪ࢆ┠ⓗ࡜ࡋ࡚ࠊྲྀᚓࡋ
ࡓ⏬ീࢆศᯒࡍࡿࡓࡵࡢࢯࣇࢺ࢙࢘࢔ࢆ㛤Ⓨࡋࡓࠋග※࡜ᑐ㇟≀㛫ࡢ㛵㐃ᛶࢆࡼࡾṇ☜࡟ゎ᫂ࡍ
ࡿࡇ࡜ࡀྍ⬟࡞᪂ࡓ࡞࢔ࣝࢦࣜࢬ࣒ࡢ㛤Ⓨࢆᐇ⌧࡛ࡁࡓࠋᚑ᮶ࡢ࢔ࣝࢦࣜࢬ࣒ࡣࠊ⏬ീྲྀᚓࢩࢫ
ࢸ࣒ࡢࢫ࣌ࢡࢺࣝ≉ᛶ࡟㛵ࡍࡿ᪤▱ࡢ᝟ሗ࠿Ꮫ⩦ࢹ࣮ࢱࢆᚲせ࡜ࡋ࡚࠸ࡓࡀࠊ᪂ࡓ࡞≀㉁ࡢࢫ࣌
ࢡࢺࣝ≉ᛶࢆᢕᥱࡍࡿࡇ࡜ࡀྍ⬟࡞᪂つࡢᏛ⩦ࢹ࣮ࢱࡢ᥈⣴ࡀᚲせ࡟࡞ࡗ࡚ࡁࡓࠋᙜ◊✲ᐊ࡟࠾
࠸࡚᪂ࡋ࠸ࢯࣇࢺ࢙࢘࢔ࠊィ⟬ࡢ㔞ࢆ๐ῶࡋᐇົⓗ࡞᪉ἲࢆ㛤Ⓨࡋࡓࠋࡑࢀ࡟ࡼࡾࠊ⏬ീࡢࡼࡾ
ከࡃࡢࢫ࣌ࢡࢺࣝ࡜✵㛫ศᯒࡀቑࡍࡇ࡜࡟࡞ࡾࠊᚓࡽࢀࡿ᝟ሗ㔞ࡶ᱁ẁ࡟ቑຍࡋࡓࠋ
◊✲ࡣࠊࣁ࣮ࢻ࢙࢘࢔࡜ࢯࣇࢺ࢙࢘࢔࡜ࡢ୧᪉ࡢ㛤Ⓨࢆ⾜࠺⥲ྜⓗ࡞࢖࣓࣮ࢪࣥࢢࢩࢫࢸ࣒ࡢ
ᵓ⠏ࠊࡇࢀࡣࡇࡢ◊✲ࡢᙜึ࠿ࡽᥖࡆ࡚࠸ࡓ┠ⓗ࡛࠶ࡗࡓࠋࡇࢀࡽ࡟࠾࠸࡚ࡣࠊ௒ᖺᗘࠊࡍ࡭࡚
ࡢⅬ࡟ࡘ࠸࡚ࠊࡇࢀࡲ࡛ᥖࡆ࡚ࡁࡓ┠ᶆ࡟㐩ࡍࡿࡇ࡜ࡀ࡛ࡁࡓ࡜ㄆ㆑ࡋ࡚࠸ࡿࠋࡲࡓࠊࡇࢀࡽࡢ
◊✲ᡂᯝࢆ⌧ሙ࡛࠶ࡿ༤≀㤋࣭⨾⾡㤋➼㸦᪥ᮏࠊ࣮࢜ࢫࢺࣛࣜ࢔ࠊ࢔࣓ࣜ࢝ྜ⾗ᅜࠊ୰⳹ேẸඹ
࿴ᅜࠊ࣐࣮ࣞࢩ࢔࡞࡝㸧࡟࡚ࠊୡ⏺᭱㧗ࣞ࣋ࣝࡢᩥ໬㈈ࠊ⨾⾡ရࠊᅜᐆ➼࡟ᛂ⏝ࡉࡏࠊࡑࡢ᭷ຠ
ᛶࢆ☜ㄆࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋࡉࡽ࡟ࡣࠊᩥ໬㈈➼ࡢ⌧ሙ࡟࠾࠸࡚ᐇ⏝ᛶ࡜ᶵືᛶࠊྍᦙᛶ࡟ࡶඃ
ࢀࡓ᪂ࡓ࡞ᶵჾࡢタィ࡜㛤Ⓨࢆࡶྠ᫬࡟⾜ࡗ࡚ࡁࡓࠋᮏ◊✲ᡂᯝࡣࠊศᯒⓗ࢖࣓࣮ࢪࣥࢢࡀᩥ໬
− 44 −
㈈ࡢಖ඲࣭ಖᏑ⛉Ꮫ࡟࠾ࡅࡿ୍⯡ⓗ࠿ࡘࠊ᭱ࡶ௦⾲ⓗ࡞ᡭẁ࡜ᡂࡾᚓࡿࡇ࡜ࢆ♧ࡍࡔࡅ࡛࡞ࡃࠊ
ࡑࡢᛂ⏝⠊ᅖࡣᩥ໬㈈ࡸ⨾⾡ရ࡟࡜࡝ࡲࡿࡇ࡜࡞ࡃࠊ㜵⅏ࡸ⎔ቃ⟶⌮ࠊ〇㐀⟶⌮➼࡬ࡢά⏝ࡶ࠾
࠾࠸࡟ᮇᚅࡉࢀࡿࡶࡢ࡛࠶ࡿࠋ
ᮏᖺᗘ㸦26 ᖺᗘ㸧ࡣࠊி㒔኱Ꮫ஭ᡭ◊✲ᐊࡢጜጒ◊✲ᐊ࡜ࡋ࡚ University of New South Wales
㸦࣮࢜ࢫࢺࣛࣜ࢔㸧࡟ᩥ໬㈈ࢹࢪࢱࣝ໬ᣐⅬࢆタ❧ࡋࡓࠋࡑࡢࡇ࡜࡟ࡼࡗ࡚ࠊࡑࡢ௚࣮࢜ࢫࢺࣛ
ࣜ࢔ࡢ୺せ࡞኱Ꮫࠊ༤≀㤋࣭⨾⾡㤋➼࡛ࡢࢹࢪࢱࣝ໬ࣉࣟࢪ࢙ࢡࢺࢆ⾜࠺ࡇ࡜ࡀྍ⬟࡜࡞ࡗࡓࠋ
ࡑ࠺ࡋ࡚ࠊࡇࢀࡽࡢ◊✲࣭ᐇ㦂ᡂᯝࢆ 9 ᭶ࡢࢩࢻࢽ࣮࡛ࡢࢩ࣏ࣥࢪ࣒࡛࢘Ⓨ⾲࣭බ㛤ࢆࡋࡓࠋ25
ᖺࡢ㤶 ࡛ࡢඹྠ◊✲ࡢ୍⎔࡜ࡋ࡚ࠊ26 ᖺࡶ㤶 ᇛᕷ኱Ꮫ࡜ඹྠ࡛ேᮦ⫱ᡂࣉࣟࢢ࣒ࣛࢆᐇ᪋ࡋࠊ
୰ᅜࡢ୺せ኱Ꮫ࠿ࡽࡢᩥ໬㈈ࠊᅗ᭩㤋ࡢᑓ㛛ᐙ࡟᪥ᮏࡢ᭱᪂ࡢࢹࢪࢱࣝᢏ⾡ࢆ⤂௓ࡋࡓࠋࡲࡓࠊ
ி㒔኱Ꮫ஭ᡭ◊✲ᐊࡢ⏬ീධຊ࣭ฎ⌮ᢏ⾡ࡣ୰ᅜ㸦ෆࣔࣥࢦࣝ㸧࡟࠾࠸࡚ࡶ⣙ 1000 ᖺ๓ࡢྂቡ
ቨ⏬࡜ࡼࡤࢀࡿࠊୡ⏺ⓗ࡟ࡳ࡚ࡶ㢮ࡢ࡞࠸ቨ⏬⩌ࢆࢹࢪࢱࣝ໬ࡍࡿࡇ࡜࡟ᡂຌࡋࡓ㸦25 ᖺᗘ࡟⥆
ࡁ 2 ᅇ┠㸧ࠋ
ࡉࡽ࡟ࡣࠊྠᖺࠊ᪥ᮏᅜෆ࡟࠾࠸࡚ࡶከᩘࡢ༤≀㤋ࠊ⨾⾡㤋ࠊࡲࡓ୺せ࡞኱Ꮫ࡟࠾࠸࡚ࡶࡇࢀ
ࡽࡢ◊✲ࠊⓎ⾲ࠊࢩ࣏ࣥࢪ࣒࢘➼ࢆᐇ᪋ࡋࠊホ౯ࢆᚓࡿࡇ࡜ࡀ࡛ࡁࡓࠋ
ᮏᖺᗘඛ➃࢖࣓࣮ࢪࣥࢢ◊✲ᐊࡢྲྀࡾ⤌ࡳࢆ⤂௓ࡍࡿࠊᅜ㝿グ⪅ㄝ᫂఍ࢆᐇ⌧ࡋࠊ࢖ࢱࣜ࢔ࠊ
ࢻ࢖ࢶࠊ㡑ᅜࠊ୰ᅜ࡞࡝ࡢᢏ⾡㒊ࠊᩥ໬㒊ࡢグ⪅Ⓨ⾲ࢆ⾜࠸ࠊᅜ㝿ⓗ࡟ྲྀࡾୖࡆࡽࢀࡓࠋ
㸱㸬ᡂᯝࡢබ⾲
(1)Ryo Ogino,Toque Jay Arre,Zhang Pengchang,Ide-Ektessabi Ari;A High Speed
Dynamic
System
for
Scanning
Reflective
Surface
with
Rotating
Polarized
Filter4,Digital Heritage.Progress in Cultural Heritage:Documentation,Preservation,
and Protection
Volume 8740, pp59-69
ሗ࿌᭩సᡂ᪥㻌 ᖹᡂ 27 ᖺ 6 ᭶ 2 ᪥
− 45 −
㔠ᒓὶయ㟁☢࣏ࣥࣉ࡜࣐ࣝࢳࢢࣜࢵࢻἲ࡟ࡼࡿ
㟁☢ὶయ᭷㝈せ⣲ゎᯒ
≉ู◊✲ဨ ᓥᓮ┾᫛
⛉Ꮫ◊✲㈝ຓᡂ஦ᴗ Ꮫ⾡◊✲ຓᡂᇶ㔠ຓᡂ㔠㸦ᇶ┙◊✲ C㸧
㸯㸬┠ⓗ
ḟୡ௦㧗㏿ቑṪ⅔࡟࠾࠸࡚㔜せ࡜ࡉࢀࡿ㔠ᒓὶయ㟁☢࣏ࣥࣉゎᯒࡢᇶ♏࡜࡞ࡿ㠀ᅽ⦰ᛶ㟁☢ὶ
యゎᯒࡢࡓࡵࠊ㠀ᅽ⦰ᛶὶయゎᯒ࡜㟁☢⏺ゎᯒࢆ஺஫࡟⾜࠺ᙅ㐃ᡂゎᯒࢯࣇࢺ࢙࢘࢔ࡢ㛤Ⓨࢆ┠
ⓗ࡜ࡍࡿࠋࡑࡋ࡚᭷㝈せ⣲ゎᯒ࡟࠾࠸࡚᭷⏝ᛶࡢ㧗࠸௦ᩘ࣐ࣝࢳࢢࣜࢵࢻἲࡢᛂ⏝ࢆ⾜࠺ࠋ
㸰㸬ᡂᯝ
㠀ᅽ⦰ᛶὶయゎᯒ࡟࠾࠸࡚ࡣࠊ㸯㸧Navier-Stokes ᪉⛬ᘧ࡜㸰㸧㠀ᅽ⦰ᛶ᮲௳ᘧ࡜࡟㏻ᖖࡢ
Galerkin-᭷㝈せ⣲ἲࢆ㐺⏝ࡍࡿ࡜⛣ὶ㡯࡜㠀ᅽ⦰ᛶ࡟㉳ᅉࡍࡿ୙Ᏻᐃᛶࡀၥ㢟࡜࡞ࡿࠋᮏ◊✲࡛
ࡣ Ᏻ ᐃ ໬ ᭷ 㝈 せ ⣲ ἲ ࡜ ࡋ ࡚ ࠊ SUPG(Streamline Upwind Petrov-Galerkin)/ PSPG(Pressur
Stabilizing Petrov-Galerkin)ἲࢆ᥇⏝ࡋࡓࠋᮏ◊✲ࡢሙྜ GLS ἲ㸦Galerkin/Least-Square
method)࡜➼౯࡛࠶ࡿࠋࡇࢀࡣ⠇Ⅼ᭷㝈せ⣲ἲࢆ⏝࠸ࡿࠋ㠀ᅽ⦰ᛶὶయゎᯒ࡟⌧ࢀࡿ኱つᶍ㐃❧
୍ḟ᪉⛬ᘧࡢ཯᚟ゎἲ࡜ࡋ࡚ GPBi-CG(Generalized Product-type method on Bi-CG)ࢆ᥇⏝ࡋࡓࠋ
඲యಀᩘ⾜ิࡣ CRS(Compressed Row Storage)ᙧᘧ࡛᱁⣡ࡍࡿ᪉ᘧࢆ᥇⏝ࡋ࡚࠸ࡿࠋ௒ᖺᗘ 3
ḟඖࡢὶయゎᯒࢥ࣮ࢻࡢᨵⰋࢆ⾜ࡗࡓࠋಀᩘ⾜ิࡢィ⟬ᘧࢆ 4×4 ࡢ⾜ิ₇⟬ࢆከ⏝ࡍࡿᙧ࡟ࡋ࡚
ࣉࣟࢢ࣒ࣛࢆぢ㏻ࡋࡢⰋ࠸ᙧ࡟ᨵⰋࡋࡓࡶࡢ࡛࠶ࡿࠋ௒ᖺᗘᢅ࠺ලయⓗၥ㢟࡜ࡋ࡚እ㒊☢⏺༳ྍ
lid-driven cavity flow ࢆ࡜ࡾ࠶ࡆࠊࡇࡢࡓࡵࡢゎᯒࣉࣟࢢ࣒ࣛࡢᩚഛࢆ㐍ࡵࡓࠋእ㒊☢⏺࡜ࡋ࡚
௒ᅇࡣ୍ᐃ☢⏺ࢆ⪃࠼ࡿࡇ࡜࡜ࡋࡓࠋ㟁☢⏺ゎᯒἲ࡜ࡋ࡚ࠊ୍⯡࡟㸯㸧A ἲ࡜㸰㸧A-₥ἲ࡜㟁ὶ
Ⓨᩓ㡯㸻㸮ࡢᣊ᮰᮲௳ࡀ⪃࠼ࡽࢀࡿࡀࠊᮏ◊✲࡛ࡣಀᩘ⾜ิࡢඃᑐゅᛶࢆ㔜どࡋ࡚ࠊA ἲࢆ᥇⏝
ࡍࡿࡢࡀⰋ࠸ࡇ࡜ࡀࢃ࠿ࡗࡓࠋ
௨ୗࠊ⛉Ꮫ◊✲㈝ຓᡂ஦ᴗࡢ◊✲ᡂᯝሗ࿌᭩ࡼࡾᥖ㍕ࡍࡿࠋ
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 6 ᭶ 24 ᪥
− 46 −
㸯㸬◊✲㛤ጞᙜึࡢ⫼ᬒ
2011 ᖺࡢᮾ໭኱㟈⅏࡜ࡑࢀ࡟⥆࠸ࡓ⚟ᓥ
஦ᨾࡢᙳ㡪ࡣ኱ኚ኱ࡁࡃࠊ௨᮶㧗㏿ቑṪ⅔ࡸ
㛵㐃ᶵჾ࡛࠶ࡿ㟁☢࣏ࣥࣉ࡟ᑐࡍࡿ㛵ᚰࠊ≉
࡟ᐇ㦂ⓗ◊✲࡟ᑐࡍࡿ㛵ᚰࡣ኱ᖜ࡟పୗࡋ
ࡓࠋࡲࡓ◊✲௦⾲⪅ࡢ㌟ศࠊᡤᒓ࡟ኚ໬ࡀ⏕
ࡌࠊᐇ㦂ⓗ◊✲ࡢ⥅⥆ࡀ୙ྍ⬟࡜࡞ࡗࡓࡓࡵࠊ
ࡼࡾᇶ♏ⓗ࡞㠀ᅽ⦰ᛶ㟁☢ὶయ࡟㛵ࡍࡿὶ
య㸫㟁☢⏺㐃ᡂ᭷㝈せ⣲ゎᯒࡢࡓࡵࡢࢯࣇ
ࢺ࢙࢘࢔㛤Ⓨࢆ୰ᚰ࡜ࡍࡿࡇ࡜࡜ࡋࡓࠋ
㸰㸬◊✲ࡢ┠ⓗ
㟁☢࣏ࣥࣉ࡞࡝㟁Ẽᶵჾゎᯒ࡬ࡢᛂ⏝࡟
㚷ࡳࠊᮏ◊✲࡛ࡣᕪศἲ࡛ࡣ࡞ࡃࠊ᭷㝈せ⣲
ἲ࡟ࡼࡿ㠀ᅽ⦰ᛶ㟁☢ὶయࡢὶయ㸫㟁☢⏺
㐃ᡂゎᯒࡢࢯࣇࢺ࢙࢘࢔ࡢ㛤Ⓨࢆ┠ⓗ࡜ࡍ
ࡿࠋ࣐ࣝࢳࣇ࢕ࢪࢵࢡࢫゎᯒ࡛኱つᶍ࡞ィ⟬
㔞࡜࡞ࡿࡢ࡛࣐ࣝࢳࢢࣜࢵࢻἲ࡟ࡼࡿ㧗㏿
໬ࢆヨࡳࡿࠋ
㸱㸬◊✲ࡢ᪉ἲ
ὶయ㸫㟁☢⏺㐃ᡂゎᯒࡢ᪉ἲ࡜ࡋ࡚ࡣࠊ᫬
㛫Ⓨᒎ࡟ἢࡗ࡚᭷㝈せ⣲ἲ࡟ࡼࡿὶయゎᯒ
࡜㟁☢⏺ゎᯒࢆ஺஫࡟⾜࠺᪉ᘧࢆ᥇⏝ࡋࡓࠋ
ࡲࡎ ḟඖゎᯒࢯࣇࢺ࢙࢘࢔ࢆ㛤Ⓨࡋࠊ┤⥺
≧ὶ㊰࡟࠾ࡅࡿ⛣ື☢⏺࡟ࡼࡿὶయ㥑ືၥ
㢟ࢆゎᯒࡋࡓࠋࡑࡢᚋ ḟඖゎᯒࡢࢯࣇࢺ࢘
࢙࢔ࡢ㛤Ⓨࢆ⾜࠸ࠊ☢⏺༳ྍ FDYLW\IORZၥ
㢟 ࡟ 㐺 ⏝ ࡋ ࡓ ࠋ グ ㏙ ࡢ ⡆ ₩ ᛶ ࡢ ࡓ ࡵ ࠊ
ࠊࠊ࡛ ḟඖゎᯒ࡟ࡘ࠸࡚ㄝ᫂ࡋࠊ
࡛ ḟඖ㛤Ⓨ࡛ࡢ≉ูࡢⅬ࡟ゐࢀࡿࠋ
Ᏻᐃ໬᭷㝈せ⣲ἲ࡟ࡼࡿὶయゎᯒ
ձ㠀ᅽ⦰ᛶ⢓ᛶὶࢀࡢᨭ㓄᪉⛬ᘧ
㠀ᅽ⦰ᛶ⢓ᛶὶࢀࡢὶయゎᯒ࡟࠾ࡅࡿᇶ
♏᪉⛬ᘧࡣ௨ୗࡢࡼ࠺࡟グ㏙ࡉࢀࡿࠋ
ρ
∂u
(1)
+ ρ (u ⋅ ∇ )u + ∇p − μ∇ 2 u = ρf (1)
∂t
∇⋅u = 0
(2)
(2)
ࡇࡇ࡛ࠊu, p, ρ, μ, fࡣࡑࢀࡒࢀࠊ㏿ᗘࠊᅽຊࠊ
ᐦᗘࠊ⢓ᛶಀᩘࠊ༢఩㉁㔞࠶ࡓࡾ࡟ാࡃእຊ
㸦ࡇࡇ࡛ࡣ࣮ࣟࣞࣥࢶຊࢆ᝿ᐃ㸧࡛࠶ࡿࠋ
ղ683*363* ἲ࡟ࡼࡿ㞳ᩓ໬
ᘧ࡟୍⯡ⓗ࡞ *DOHUNLQ ᭷㝈せ⣲ἲ
ࢆ㐺⏝ࡍࡿ࡜ࠊ⛣ὶ㡯࡜㠀ᅽ⦰ᛶ࡟㉳ᅉࡍࡿ
୙Ᏻᐃᛶࡀၥ㢟࡜࡞ࡿࠋᮏ◊✲࡛ࡣࠊᘧ
࡟ ᑐ ࡋ ࡚ 683* 6WUHDPOLQH 8SZLQG
3HWURY*DOHUNLQ363*
3UHVVXUH
6WDELOL]LQJ3HWURY*DOHUNLQ᭷㝈せ⣲ἲ࡟
ࡼࡿ㞳ᩓ໬ࢆ⾜࠺ࡇ࡜࡛Ᏻᐃ࡞ὶయゎᯒࢆ
⾜࠺ࠋࡇࡢ࡜ࡁ᭱⤊ⓗ࡞᪉⛬ᘧࡀ㠀⥺ᙧ࡜࡞
ࡿࡇ࡜ࢆ㑊ࡅࡿࡓࡵࠊᘧࡢ⛣ὶ㡯㸦➨ 㡯㸧࡟ࡘ࠸࡚ࡣ⛣ὶ㏿ᗘ࡟㝧ⓗ㏆ఝࢆ⏝࠸ࡿࠋ
᭷㝈せ⣲ἲࡢᙧ≧㛵ᩘ࡜ࡋ࡚ࡣࠊu, p ࡢ୧
᪉࡟ࡘ࠸࡚୕ゅᙧ ḟせ⣲ࢆ౑⏝ࡍࡿࠋ
᭷㝈せ⣲ἲ࡟ࡼࡿ㟁☢⏺ゎᯒ
ձ㟁☢⏺ࡢᇶ♏᪉⛬ᘧ
ᮏ◊✲࡛ᢅ࠺㟁☢ὶయࡣⰋᑟయ࡜ࡳ࡞ࡏ
ࡿࡓࡵࠊ࣐ࢡࢫ࢙࢘ࣝ᪉⛬ᘧ୰ࡢኚ఩㟁ὶࡢ
㡯ࢆ↓どࡍࡿ‽ᐃᖖゎᯒࢆ⾜࠺ࠋ࣋ࢡࢺ࣏ࣝ
ࢸࣥࢩࣕࣝࢆᮍ▱ᩘ࡜ࡋ࡚ᩚ⌮ࡋࡓᇶ♏᪉
⛬ᘧࡣࠊ௨ୗࡢࡼ࠺࡟⾲ࡉࢀࡿࠋ
(
)
∇ × μ −1∇ × A + σ
∂A
=0
∂t
(3)
ࡇࡇ࡛ࠊA, μ, σ ࡣࡑࢀࡒࢀࠊ㏱☢⋡ࠊᑟ㟁⋡
ࢆ⾲ࡍࠋ
ղ᭷㝈せ⣲ἲ࡟ࡼࡿ㞳ᩓ໬
ᘧ࡟ࡘ࠸࡚ࠊ*DOHUNLQ ᭷㝈せ⣲ἲ࡟ࡼ
ࡿ㞳ᩓ໬ࢆ⾜࠺ࠋ᭷㝈せ⣲ἲࡢᙧ≧㛵ᩘࡣ㸰
ḟඖゎᯒ࡛ࡣ୕ゅᙧ ḟせ⣲ࢆ⏝࠸ࡿࡶࡢ࡜
ࡋࠊὶయゎᯒ࡜ඹ㏻ࡢ୕ゅᙧศ๭ࢆ౑⏝ࡍࡿࠋ
㟁☢⏺ゎᯒ࡟ࡼࡾᚓࡽࢀࡓ㟁☢⏺ศᕸ࠿
ࡽࠊᘧ୰ࡢ f ࡟┦ᙜࡍࡿ㟁☢ຊࢆồࡵࠊḟ
ࡢࢱ࢖࣒ࢫࢸࢵࣉࡢὶయゎᯒ࡛౑⏝ࡍࡿࠋ
௦ᩘ࣐ࣝࢳࢢࣜࢵࢻἲ࡟ࡼࡿ㧗㏿ồゎ
ୖ㏙ࡋࡓ᭷㝈せ⣲ἲ࡟ࡼࡿὶయゎᯒ࣭㟁☢
⏺ゎᯒࡢ࠸ࡎࢀ࡟࠾࠸࡚ࡶࠊ᭱⤊ⓗ࡟⥺ᙧ㐃
❧᪉⛬ᘧࢆゎࡃࡇ࡜ࡀồࡵࡽࢀࡿࠋࡇࢀࡽࡢ
⥺ᙧ㐃❧᪉⛬ᘧࢆᶆ‽ⓗ࡞ゎἲ࡟ࡼࡗ࡚ゎ
ࡃሙྜࠊゎᯒࡢ኱つᶍ໬࡟ࡋࡓࡀࡗ࡚ィ⟬᫬
㛫ࡀ⇿Ⓨⓗ࡟ቑ኱ࡍࡿࠋࡑࡢࡓࡵࠊᮏ◊✲࡛
⌧ࢀࡿ⥺ᙧ㐃❧᪉⛬ᘧ࡟㐺ࡋࡓຠ⋡ⓗ࡞㧗
㏿ồゎἲࡢ᳨ウࡀ㔜せ࡜࡞ࡿࠋ
ᮏ◊✲࡛ࡣࠊ௦ᩘ࣐ࣝࢳࢢࣜࢵࢻἲࡢᛂ⏝
࡟ࡼࡿ⥺ᙧ㐃❧᪉⛬ᘧࡢồゎ࡟ࡘ࠸᳨࡚ウ
ࢆ⾜ࡗࡓࠋ௦ᩘ࣐ࣝࢳࢢࣜࢵࢻἲࡣࠊ೫ᚤศ
᪉⛬ᘧࡢ㞳ᩓ໬࡟ࡼࡗ࡚⌧ࢀࡿ኱つᶍ㐃❧
᪉⛬ᘧ࡟ᑐࡋ࡚᭷ຊ࡞㧗㏿ồゎἲࡢ୍ࡘ࡛
࠶ࡿࠋ
ձ ὶయゎᯒࡢ㐃❧᪉⛬ᘧࡢồゎ
683*363* ἲ࡟ࡼࡾᘧࢆ㞳ᩓ໬ࡋ࡚
ᚓࡽࢀࡿ⥺ᙧ㐃❧᪉⛬ᘧࡣࠊ㸰ḟඖゎᯒ࡛ࡣ
௨ୗࡢᙧ࡛⾲ࡉࢀࡿࠋ
§ Auu
¨
¨ Avu
¨
© Apu
Auv
Avv
Apv
Aup ·§ xu · § bu ·
¸¨ ¸ ¨ ¸
Avp ¸¨ xv ¸ = ¨ bv ¸
¸¨ ¸ ¨ ¸
App ¹© x p ¹ © b p ¹
(4)
ࡇࡇ࡛ࠊῧᏐ௜ࡁࡢ A, x, b ࡣࡑࢀࡒࢀࠊ
683*363* ἲ࡟ࡼࡾᑟ࠿ࢀࡓ᪉⛬ᘧࡢಀᩘ⾜
ิࠊゎ࣋ࢡࢺࣝࠊྑ㎶࣋ࢡࢺࣝࢆᵓᡂࡍࡿせ
⣲࡛࠶ࡿࠋῧᏐࡢ u, v, p ࡣࡑࢀࡒࢀࠊᙜヱࡢ
⾜ิ࣭࣋ࢡࢺࣝࡀὶ㏿ࡢ x ᡂศࠊὶ㏿ࡢ y ᡂ
ศࠊᅽຊ࡟㛵㐃ࡋ࡚࠸ࡿࡇ࡜ࢆ♧ࡍࠋ㸱ḟඖ
ゎᯒ࡛ࡣὶ㏿ࡢ z ᡂศࡢ㡯ࡀ௜ຍࡉࢀࡿࠋ
ᘧࡢಀᩘ⾜ิࡣ㠀ᑐ⛠࡛࠶ࡿࡓࡵࠊ㠀
ᑐ⛠⾜ิࢆᑐ㇟࡜ࡋࡓ཯᚟ゎἲ *3%L&* ἲࢆ
㐺⏝ࡋࠊࡑࡢ๓ฎ⌮࡜ࡋ࡚௦ᩘ࣐ࣝࢳࢢࣜࢵ
ࢻ$OJHEUDLF0XOWLJULG$0*ἲࢆ౑⏝ࡍࡿࠋ
௨ୗ࡛ࡣ㸰ḟඖゎᯒ࡟ࡘ࠸࡚㏙࡭ࡿࠋ
ᮏ◊✲࡛ࡣࠊඃᑐゅᛶࢆᣢࡘ⾜ิ࡟ᑐࡋ࡚
− 47 −
᭷ຠᛶࡢ㧗࠸ 6W¾EHQ ࡢ௦ᩘ࣐ࣝࢳࢢࣜࢵࢻ
ἲࡢ౑⏝ࢆ᳨ウࡍࡿࡀࠊᘧࡢಀᩘ⾜ิࡣ
ඃᑐゅᛶࢆ୍⯡࡟ࡣ‶ࡓࡉ࡞࠸ࠋࡋ࠿ࡋ࡞ࡀ
ࡽ⾜ิ App ࡣ㏆ఝⓗ࡟ඃᑐゅ⾜ิ࡜ࡳ࡞ࡍࡇ
࡜ࡀ࡛ࡁࡿࡓࡵࠊ௨ୗࡢ⾜ิ
§I O
¨
¨O I
¨
©O O
O ·
¸
O ¸
¸
App ¹
(5)
(5)
ࢆ⪃࠼ࠊࡇࡢ⾜ิ࡟ᑐࡋ࡚௦ᩘ࣐ࣝࢳࢢࣜࢵ
ࢻἲࢆ㐺⏝ࡋࡓࡶࡢࢆࠊ*3%L&* ἲࡢ๓ฎ⌮
࡜ࡍࡿ᪉ἲࢆ᳨ウࡍࡿࠋᘧ୰ࡢ I ࡣ༢఩⾜
ิࠊO ࡣ㞽⾜ิࢆ⾲ࡍࠋ
ղ 㟁☢⏺ゎᯒࡢ㐃❧᪉⛬ᘧࡢồゎ
*DOHUNLQ ᭷㝈せ⣲ἲ࡟ࡼࡾᘧࢆ㞳ᩓ໬
ࡋ࡚ᚓࡽࢀࡿ⥺ᙧ㐃❧᪉⛬ᘧࡢಀᩘ⾜ิࡣࠊ
ୖグࡢ App ࡜ྠᵝ࡟ࠊ㏆ఝⓗ࡟ඃᑐゅ⾜ิ࡜
ࡳ࡞ࡍࡇ࡜ࡀ࡛ࡁࡿࠋࡲࡓࠊࡑࡢಀᩘ⾜ิࡣ
㸦App ࡜ྠࡌࡃ㸧ᐇᑐ⛠࡛ࡶ࠶ࡿࠋࡋࡓࡀࡗ࡚
㟁☢⏺ゎᯒ࡛⌧ࢀࡿ⥺ᙧ㐃❧᪉⛬ᘧ࡟ࡘ࠸
࡚ࡣࠊᐇᑐ⛠⾜ิࢆᑐ㇟࡜ࡍࡿ཯᚟ゎἲ&*
ἲࢆ㐺⏝ࡋࠊࡑࡢ๓ฎ⌮࡜ࡋ࡚ 6W¾EHQ ࡢ௦
ᩘ࣐ࣝࢳࢢࣜࢵࢻἲࢆ౑⏝ࡍࡿࠋ
ḟඖゎᯒ☢⏺༳ྍ FDYLW\IORZၥ㢟
㟁☢⏺ゎᯒࢆ⾜࠺ࠋᨭ㓄᪉⛬ᘧࡣ௨ୗ࡜࡞
ࡿࠋグྕࡣ ḟඖࡢሙྜ࡜ྠࡌ࡛࠶ࡿࠋ
ὶయ㡿ᇦ(1)
ρ
∂u
+ ρ (u ⋅ ∇ )u + ∇p − μ∇ 2 u = ρf
∂t
ḟඖ᫬㛫㸧ࡢ⛣ື☢⏺࡟ᑐᛂࡋࡓቃ⏺᮲௳ࢆ
タᐃࡋࡓࠋ
ึᮇὶ㏿ࢆ㞽࡜ࡋࠊ᫬้ 㸦ィ⟬ࢫࢸࢵࣉ
ᩘ 㸧ࡲ࡛ὶయ㸫㟁☢⏺㐃ᡂゎᯒࢆ⾜ࡗ
࡚ᚓࡽࢀࡓὶ㏿ศᕸࢆᅗ ࡟♧ࡍࠋ☢⏺༳ຍ
㡿ᇦ௨እ࡛ࡣ࡯ࡰ୍ᵝ࡞ y ᪉ྥὶࢀࡀ㉳ࡁ࡚
࠾ࡾࠊ᝿ᐃ࡟㐺ྜࡋࡓ⤖ᯝࡀᚓࡽࢀ࡚࠸ࡿࠋ
☢⏺༳ຍ㡿ᇦ࡛ὶࢀࡀ୍ᵝ࡛࡞࠸ࡢࡣࠊ㟁☢
ὶయ୰࡟Ⓨ⏕ࡍࡿㄏᑟ㟁ὶࡀὶ㊰୰ኸ௜㏆
࡛༳ຍ☢⏺ࢆᡴࡕᾘࡍࡓࡵ࡜⪃࠼ࡽࢀࡿࠋ
ᅗ ࡟ࠊྛィ⟬ࢫࢸࢵࣉ࡟࠾࠸࡚ *3%L&*
ἲ࣭&* ἲࡢ཰᮰࡟せࡋࡓ཯᚟ᅇᩘࢆ♧ࡍࠋ
(6)
(7)
∇⋅u = 0
(
)
§ ∂A
·
∇ × μ −1∇ × A + σ ¨
− u × ( ∇ × A ) ¸ = 0 (8)
© ∂t
¹
ᅗ 1 ┤⥺≧ὶ㊰ࣔࢹࣝ
㸦☢⏺༳ຍ㡿ᇦࡣ⅊Ⰽࡢ㒊ศ㸧
ὶయእ㡿ᇦ(2) (Ȫ=0㸧
(
)
∇ × μ −1∇ × A = 0
(9)
࣓ࢵࢩࣗศ๭ࡣᅄ㠃యศ๭࡛ࠊὶయ㡿ᇦ࡛
ࡣὶయゎᯒ࡜㟁☢⏺ゎᯒ࡜ࡀ࣓ࢵࢩࣗࢆඹ
᭷ࡋ࡚࠸ࡿࠋὶయゎᯒࡣᅄ㠃య ḟせ⣲ࡢ⠇
Ⅼ᭷㝈せ⣲ἲࢆ⏝࠸ࠊ㟁☢⏺ゎᯒ࡛ࡣ ḟࡢ
㎶せ⣲᭷㝈せ⣲ἲࢆ⏝࠸ࡿࠋ
㸲㸬◊✲ᡂᯝ
ᩘ್ゎᯒ⤖ᯝ
ձ┤⥺≧ὶ㊰࡟࠾ࡅࡿ⛣ື☢⏺࡟ࡼࡿὶయ
㥑ື
ᅗ ࡟♧ࡍ㛗ࡉ 㸪ᖜ 㸦↓ḟඖ㛗㸧ࡢ┤
⥺≧ὶ㊰ࢆ⪃࠼ࠊṇᘻἼ≧ࡢ⛣ື☢⏺࡟ࡼࡿ
㔠ᒓὶయࡢ㥑ືࢆ᝿ᐃࡋࡓ㐃ᡂゎᯒࢆ⾜ࡗ
ࡓࠋὶయゎᯒࡢቃ⏺᮲௳࡜ࡋ࡚ࠊὶ㊰ࡢഃቨ
࡛ࡣࡍ࡭ࡾ᮲௳ὶ㏿ࡢ x ᡂศࡀ 㸪ୖὶ࠾
ࡼࡧୗὶഃࡢቃ⏺࡟ࡘ࠸࡚ࡣࠊࢺࣛࢡࢩࣙ
࣭ࣥࣇ࣮ࣜ᮲௳ࢆ୚࠼ࡓ㸬㟁☢⏺ゎᯒ࡟ࡘ࠸
࡚ࡣࠊᅗ ࡢ⅊Ⰽࡢ㒊ศ࡟༳ຍࡍࡿ࿘ᮇ 㸦↓
− 48 −
ᅗ 2 ὶ㏿ศᕸ㸦☢⏺༳ຍ㡿ᇦ௜㏆㸧
ࢵࣉࡢ᥎⛣࡜࡜ࡶ࡟ᅗ ࡟♧ࡍࠋ࡞࠾ࠊ$0*
ἲ࡟ࡼࡿィ⟬ࡢ㧗㏿໬ࡣ GXFWIORZ ၥ㢟ࡢሙ
ྜ࡟࡜࡝ࡲࡾࠊ&DYLW\IORZ ၥ㢟ࡢሙྜࡣㄢ
㢟࡜ࡋ࡚ṧࡗࡓࠋ
ᅗ 3 ཯᚟ᅇᩘࡢ᥎⛣
㹙⥳㸸ὶయゎᯒ㸦๓ฎ⌮↓ࡋ㸧ࠊ㟷㸸ὶయゎ
ᯒ㸦AMG ๓ฎ⌮㸧
ࠊ⣸㸸㟁☢⏺ゎᯒ㸦๓ฎ⌮
↓ࡋ㸧
ࠊ㉥㸸㟁☢⏺ゎᯒ㸦AMG ๓ฎ⌮㸧㹛
ẚ㍑ࡢࡓࡵࠊ๓ฎ⌮↓ࡋࡢሙྜࡢ⤖ᯝࡶ♧ࡋ
࡚࠸ࡿࠋ㟁☢⏺ゎᯒ࡟࠾ࡅࡿ௦ᩘ࣐ࣝࢳࢢࣜ
ࢵࢻἲࡢຠᯝࡣ㢧ⴭ࡛ࠊ཯᚟ᅇᩘࢆ๻ⓗ࡟๐
ῶࡍࡿࡇ࡜ࡀฟ᮶࡚࠸ࡿࠋὶయゎᯒ࡟࠾࠸࡚
ࡣᘧ࡟௦ᩘ࣐ࣝࢳࢢࣜࢵࢻἲࢆ㐺⏝ࡍࡿ
ᙧࢆ࡜ࡗ࡚࠸ࡿࡓࡵࡑࡢຠᯝࡣ㝈ᐃⓗ࡛ࡣ
࠶ࡿࡀࠊᖹᆒࡋ࡚཯᚟ᅇᩘࢆ ⛬ᗘ࡟๐ῶ
࡛ࡁࡓࠋᮏ㐃ᡂゎᯒ࡟࠾࠸᳨࡚ウࡋࡓ௦ᩘ࣐
ࣝࢳࢢࣜࢵࢻἲࡢᑟධࡣ᭷ຠ࡛࠶ࡗࡓ࡜࠸
࠼ࡿࠋ
ղ୍ᐃ☢⏺༳ྍ OLGGULYHQ&DYLW\)ORZ ၥ
㢟㸱ḟඖ㸧
❧᪉య㡿ᇦ
ᅗ 4 ୰ᚰⅬ࿘ࡾࡢ㏿ᗘࣉࣟࣇ࢕࣮ࣝ
5H ☢⏺࡞ࡋ
ᅗ 5 ୰ᚰⅬ࿘ࡾࡢ㏿ᗘࣉࣟࣇ࢕࣮ࣝ 5H 5P +D 0 ” x ” L, 0 ” y ” L, 0 ” z ” L
ࢆ⪃࠼ࡿࠋ㏿ᗘࡢ x, y, z ᡂศ u, v, w ࡢቨ㠃࡛
ࡢቃ⏺᮲௳࡜ࡋ࡚
㟁☢⏺ゎᯒ
u = 1, v = 0, w = 0
(z = L)
ࡑࡢ௚ࡢቨ㠃࡛ u = v = w = 0 ࡜ࡍࡿࠋz ㍈᪉ྥ
࡟୍ᐃ☢⏺B0 ࢆ༳ྍࡋࡓ࡜ࡁࡢ㠀ᅽ⦰ᛶ㟁
☢ὶయゎᯒࢆၥ㢟࡜ࡍࡿࠋ☢⏺ゎᯒ㡿ᇦࡣ
ὶయ
ᅗ 6 㐃❧୍ḟ᪉⛬ᘧồゎࡢ཯᚟ᅇᩘ
ୖ⥺㸸㟁☢⏺ゎᯒࠊୗ⥺㸸ὶయゎᯒ
í d ” x ” L + d, í d ” y ” L + d, í d ” z ” L + d
࡜ࡍࡿࠋィ⟬࡛ࡣ / G ࡜ࡋࡓࠋ
୍ᐃ☢⏺ࡣ࣋ࢡࢺ࣏ࣝࢸࣥࢩࣕࣝࡢᅛᐃ
ቃ⏺᮲௳ࢆᣦᐃࡍࡿࡇ࡜࡟ࡼࡾᣦᐃࡋࡓࠋࣞ
࢖ࣀࣝࢬᩘ ࠊ☢⏺࡞ࡋࡢሙྜࡢ୰ᚰⅬ࿘
ࡾࡢ㏿ᗘ u, w ࣉࣟࣇ࢕࣮ࣝࢆᅗ ࡟♧ࡍࠋὶ
య㡿ᇦ࡛ࠊࣀ࣮ࢻⅬᩘ ࠊᅄ㠃యᩘ ࡢ࣓ࢵࢩࣗࢆ⏝࠸ࡓࠋ
ࣞ࢖ࣀࣝࢬᩘ 㸪☢Ẽࣞ࢖ࣀࣝࢬᩘ ࠊ
ࣁࣝࢺ࣐ࣥᩘ ࡢሙྜࡢ୰ᚰⅬ࿘ࡾࡢ XZ
㏿ᗘࣉࣟࣇ࢕࣮ࣝࢆᅗ ࡟♧ࡍࠋὶయゎᯒ㸫
㟁☢⏺ゎᯒࡢ㐃ᡂゎᯒࡀᏳᐃⓗ࡟⾜࠼࡚࠸
ࡿࡇ࡜ࡀࢃ࠿ࡿࠋ
㟁☢⏺ゎᯒࡢ㐃❧୍ḟ᪉⛬ᘧࡢ཯᚟ᅇᩘ
ཬࡧὶయゎᯒ࡟࠾ࡅࡿ཯᚟ᅇᩘࢆィ⟬ࢫࢸ
㟁☢࣏ࣥࣉࡢゎᯒ࡛ࠊᩥ⊩17DNRUDEHW
&RPSXWDWLRQRI)RUFH'HQVLW\,QVLGHWKH
&KDQQHORI DQ (OHFWURPDJQHWLF 3XPSE\
+HUPLWH 3URMHFWLRQ ,((( 7UDQV 0DJ
9ROSS࡟ぢࡽࢀࡿࡼ
࠺࡟ࠊὶయࡢὶ㏿୍ᐃࡢ㏆ఝࢆ⏝࠸ࠊ㟁☢⏺
ゎᯒ࡟ࣇ࣮࢚ࣜኚ᥮ἲࡀ⏝࠸ࡽࢀࡿࡇ࡜ࡀ
࠶ࡿࡀࠊᮏ◊✲࡟࠾࠸࡚ࡶࠊ◊✲ึᮇࡢணഛ
ⓗᡭἲ࡜ࡋ࡚ࠊࣇ࣮࢚ࣜኚ᥮ἲࢆ᥇⏝ࡋࠊ㟁
☢࣏ࣥࣉࡢഃቨࡀ⤯⦕యࡢሙྜ࡜ᑟయࡢሙ
ྜ࡜࡟ࡘ࠸࡚ࠊഃቨ࡟ὶࢀࡿ 㟁ὶ࡟ࡼࡾࠊ
᫬㛫ᖹᆒ᥎㐍ຊ࡟࡝ࡢ⛬ᗘࡢ㐪࠸ࡀࡳࡽࢀ
ࡿ࠿ࡢ◊✲ࢆ⾜ࡗࡓࠋᏛ఍Ⓨ⾲ㄽᩥཧ↷㸧
− 49 −
㸳㸬୺࡞Ⓨ⾲ㄽᩥ➼
㸦◊✲௦⾲⪅ࠊ◊✲ศᢸ⪅ཬࡧ㐃ᦠ◊✲⪅࡟
ࡣୗ⥺㸧
ࠝᏛ఍Ⓨ⾲ࠞ
㸦ィ 2 ௳㸧
(1)ᓥᓮ┾᫛㸸ࣇ࣮࢚ࣜኚ᥮ࢆ⏝࠸ࡓᾮయ㔠ᒓ
⏝㟁☢࣏ࣥࣉࡢ‽ᐃᖖゎᯒࠊ㟁ẼᏛ఍㟼Ṇ
ჾ ࣭ ᅇ ㌿ ᶵ ྜ ྠ ◊ ✲ ఍ ㈨ ᩱ SA-12-92,
RM-12-107,pp.77-80, 2012
(2)M. Shimasaki: A Fourier Analysis of
Flat Linear Induction Electromagnetic
Pumps for a Liquid Metal, CEFC2012,
Poster Session MP1, 2012.
㸴㸬◊✲⤌⧊
◊✲௦⾲⪅
ᓥᓮ┾᫛㸦බ┈㈈ᅋἲேᛂ⏝⛉Ꮫ◊✲ᡤ㸧
◊✲⪅␒ྕ㸸
◊✲ศᢸ⪅
⨾⯞೺㸦ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉㸧
◊✲⪅␒ྕ㸸
◊✲⪅␒ྕ㸸
− 50 −
ඹྠ◊✲ဨ࡟ࡼࡿᡂᯝ
㧗 ㉸ఏᑟ኱㟁ὶᑟయࡢ㟁☢≉ᛶ࡟ࡘ࠸࡚ࡢᇶ♏◊✲
㧗 ㉸ఏᑟ኱㟁ὶᑟయࡢ㟁☢≉ᛶ࡟ࡘ࠸࡚ࡢᇶ♏◊✲
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
㞵ᐑᑦஅᩍᤵ
㞵ᐑᑦஅᩍᤵ
㸯㸬┠ⓗ
㉸ఏᑟࡢ኱ᆺᛂ⏝ࡢࡓࡵ࡟ࡣࠊ኱㟁ὶᐜ㔞(ᩘ࢟ࣟ࢔ࣥ࣌࢔㹼ᩘ༑࢟ࣟ࢔ࣥ࣌࢔)ࡢ㉸ఏᑟᑟయ
ࡀᚲせ࡛࠶ࡿࠋ㧗 ㉸ఏᑟ⥺ᮦ࡞ࡽࡧ࡟ࡑࢀࢆࡶࡗ࡚ᵓᡂࡉࢀࡓ኱㟁ὶ㧗 ㉸ఏᑟᑟయࡢ㟁☢≉
ᛶ࡟ࡘ࠸࡚ࡢ▱ぢࡢయ⣔໬ࢆࡣ࠿ࡾࠊ㛵㐃ࡍࡿ◊✲㡿ᇦ࡟࠾ࡅࡿᅜ㝿㐃ᦠ࡜◊✲ᡂᯝࡢᗈሗ࣭♫
఍㑏ඖࢆ㐍ࡵࡿࡇ࡜ࡀᮏ◊✲ࡢ┠ⓗ࡛࠶ࡿࠋ
㸰㸬ᡂᯝ
(1) 㧗 ㉸ఏᑟ⥺ᮦࡢ㟁☢≉ᛶ࡟ࡘ࠸࡚ࡢ▱ぢࡢᢕᥱ࣭య⣔໬
㧗 ㉸ఏᑟ⥺ᮦࡢ㟁☢≉ᛶ࡟ࡘ࠸࡚ࡣࠊᵝࠎ࡞ࣉࣟࢪ࢙ࢡࢺࡢ୰࡛ࠊ஺ὶ㏻㟁ᦆኻ ᐃࠊSQUID
☢໬ィ࡟ࡼࡿ☢໬⦆࿴ ᐃࠊ⮫⏺㟁ὶ ᐃ࡞࡝ࢆ⾜ࡗࡓࠋࡇࢀࡽࡢ ᐃ⤖ᯝ࠿ࡽࠊ㉸ఏᑟ⥺ᮦᅛ
᭷ࡢ㟁⏺Ɇ㟁ὶᐦᗘ㸦E–J㸧≉ᛶ࡟ࡘ࠸࡚ࡢ▱ぢࢆᢕᥱࡋయ⣔໬ࢆ㐍ࡵࠊࡇࢀࡽࢆ஺ὶᦆኻࡸ࣐
ࢢࢿࢵࢺⓎ⏕☢⏺⢭ᗘࡢ⌮ㄽⓗ᳨ウࢆ⾜࠺ࡓࡵࡢᇶ♏ࢹ࣮ࢱ࡜ࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋ
(2) ኱㟁ὶ㧗 ㉸ఏᑟᑟయࡢ㟁☢≉ᛶ࡟ࡘ࠸࡚ࡢ▱ぢࡢᢕᥱ࣭య⣔໬
ࢸ࣮ࣉ≧ࡢ㧗 ㉸ఏᑟ⥺ᮦ୍ᮏ࠶ࡓࡾ࡟ὶࡏࡿ㟁ὶࡣᩘⓒ࢔ࣥ࣌࢔⛬ᗘ࡛࠶ࡾࠊ኱ᆺࡢ࣐ࢢࢿ
ࢵࢺࡸ㟁Ẽᶵჾ࡛せồࡉࢀࡿᩘ࢟ࣟ࢔ࣥ࣌࢔࠿ࡽᩘ༑࢟ࣟ࢔ࣥ࣌࢔ࡢ㟁ὶᐜ㔞ࢆᚓࡿࡓࡵ࡟ࡣࠊ
㧗 ㉸ఏᑟ⥺ᮦࢆ」ᩘᮏ㞟ྜ໬ࡍࡿᚲせࡀ࠶ࡿࠋࡇࡢࡼ࠺࡞㞟ྜ኱㟁ὶ㧗 ㉸ఏᑟᑟయࡢ௦⾲౛
࡛࠶ࡿ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝ(ᅗ 1)ࢆᑐ㇟࡜ࡋ࡚ࠊࡑࡢ㟁☢≉ᛶ࡟ࡘ࠸࡚ࡢ▱ぢࡢᢕᥱ࡜య⣔໬ࢆ㐍ࡵ
ࡓࠋ
๓ᖺᗘ࠿ࡽᩚഛࢆ㐍ࡵ࡚ࡁࡓ㉸ఏᑟ⥺ᮦࡢ㠀⥺ᙧ࡞ᑟ㟁≉ᛶ࡜࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࡢ୕ḟඖⓗᵓ
㐀ࢆ⪃៖ࡋࡓ㟁☢⌧㇟ࢩ࣑࣮ࣗࣞࢩࣙࣥࣔࢹࣝࢆ฼⏝ࡋ࡚ࠊ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࡢ㟁☢≉ᛶࡢゎ᫂
ࢆ㐍ࡵࡓࠋලయⓗ࡟ࡣࠊ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࢆⓎ㟁ᶵࡸኚᅽჾ࡜࠸ࡗࡓ㟁ຊᶵჾ࡟⏝࠸ࡿࡇ࡜ࢆ᝿
ᐃࡋ࡚ࠊ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࢆ஺ὶ࡛⏝࠸ࡓ㝿࡟Ⓨ⏕ࡍࡿ஺ὶᦆኻࡢ⌮ㄽⓗホ౯ࢆ⾜ࡗࡓࠋࡑࡢ⤖
ᯝࠊ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࡢᗄఱᏛⓗᵓ㐀ࣃ࣓࣮ࣛࢱ(⣲⥺ᩘࠊ㌿఩㛗ࠊ⣲⥺㛫ࢠࣕࢵࣉ࡞࡝)ࡀ஺ὶ
ᦆኻ࡟୚࠼ࡿᙳ㡪࡟ࡘ࠸࡚ࠊయ⣔ⓗ࡟ᢕᥱࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋࡉࡽ࡟ࠊ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࢆ㉸㧗
࢚ࢿࣝࢠ࣮ࡢ⢏Ꮚຍ㏿ჾ⏝࣐ࢢࢿࢵࢺ࡟฼⏝ࡍࡿࡇ࡜ࢆ᝿ᐃࡋࠊ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࡢ⣲⥺ࡢ୰ࡢ
㠀୍ᵝ㟁ὶศᕸࡀ☢⏺⢭ᗘ࡟୚࠼ࡿᙳ㡪࡟ࡘ࠸࡚ࡢ◊✲࡟ࡶ╔ᡭࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋ
(3) 㧗 ㉸ఏᑟ⥺ᮦ࣭኱㟁ὶᑟయࡢ㟁☢≉ᛶ࡟ࡘ࠸࡚ࡢᅜ㝿ືྥㄪᰝ࡜ᅜ㝿㐃ᦠ᥎㐍
㧗 ㉸ఏᑟ⥺ᮦ࣭኱㟁ὶᑟయࡢ㟁☢≉ᛶ࡟㛵ࡋ࡚ࠊᾏእࡢㅖ఍㆟࡟ཧຍࡋࠊࡲࡓࠊᾏእࡢㅖ◊
✲ᶵ㛵࣭኱Ꮫࢆゼၥࡋ࡚ືྥㄪᰝࢆ⾜ࡗࡓࠋ㧗 ㉸ఏᑟ኱㟁ὶᑟయࡣࠊ㧗 ㉸ఏᑟࡢ኱ᆺᛂ⏝ࡢ
− 51 −
◊✲㛤Ⓨࡢ㘽࡜࡞ࡿࡶࡢ࡛࠶ࡿࡀࠊ᪥ᮏ࡟࠾ࡅࡿ◊✲㛤Ⓨࡣ㝈ᐃⓗ࡛࠶ࡿࠋࡋ࠿ࡿ࡟ࠊᾏእ࡛ࡣࠊ
≉࡟Ḣᕞࢆ୰ᚰ࡟ࠊᑗ᮶ࡢ≀⌮◊✲ࡢࡓࡵࡢ㉸㧗࢚ࢿࣝࢠ࣮⢏Ꮚຍ㏿ჾ⏝ࡢ㉸ఏᑟ࣐ࢢࢿࢵࢺࡸ
኱ᆺ㟁ຊᶵჾࠊ᰾⼥ྜ࡬ࡢᛂ⏝ࢆ┠ᣦࡋࡓ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࠊ᰾⼥ྜ࡬ࡢᛂ⏝ࢆ┠ᣦࡋࡓࢫࢱࢵ
ࢡ࣭ࢶ࢖ࢫࢺᑟయ࡜࠸ࡗࡓ኱㟁ὶᑟయࡢ㛤Ⓨࡀ╔ᐇ࡟㐍ࡵࡽࢀ࡚࠸ࡿࡇ࡜ࢆືྥㄪᰝ࡟ࡼࡾᢕᥱ
ࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋࡇࢀࢆ㋃ࡲ࠼ࠊ≉࡟ࠊ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝࢆᑐ㇟࡜ࡋ࡚ࠊḢᕞཎᏊ᰾◊✲ᶵᵓ
ࢆ୰ᚰ࡜ࡋࡓᅜ㝿㐃ᦠࢆ᥎㐍ࡋࡓࠋ
࢔ࣥ࢝ࣛ኱Ꮫࡢ㉸ఏᑟ◊✲ࢭࣥࢱ࣮(CESUR)ࢆ┦ᡭ᪉࡜ࡋ࡚ࠊࢺࣝࢥ࡟࠾ࡅࡿ㉸ఏᑟᛂ⏝◊✲
࡟ᑐࡍࡿ༠ຊࢆ㐍ࡵࡓࠋ㉸ఏᑟ⥺ᮦ࡟஺ὶ㟁ὶࢆὶࡋࡓ࡜ࡁ࡟Ⓨ⏕ࡍࡿ஺ὶᦆኻࡢ ᐃᢏ⾡ࡢᣦ
ᑟࠊᙜヱ◊✲ࢭࣥࢱ࣮࡟࡚ᩚഛࢆ᳨ウࡋ࡚࠸ࡿఏᑟ෭༷࡟ࡼࡿ㉸ఏᑟ⥺࣭ࢥ࢖ࣝࡢヨ㦂⿦⨨ࡢタ
ィ࡟㛵ࡋ࡚ࡢࢥࣥࢧࣝࢸ࢕ࣥࢢ➼ࢆ⾜ࡗࡓࠋ஺ὶᦆኻࡣ㉸ఏᑟࢆᵝࠎ࡞஺ὶ㟁ຊᶵჾ࡛⏝࠸ࡿ㝿
࡟ၥ㢟࡜࡞ࡿࡶࡢ࡛࠶ࡿࠋࢺࣝࢥࡢࡼ࠺࡟ᑗ᮶ࡢ㟁ຊ㟂せࡢఙࡧ࡟ᛂࡌ࡚㟁ຊ⣔⤫ࡢቑᙉࡀᮇᚅ
ࡉࢀࡿᅜ࡟࠾࠸࡚ࠊ㉸ఏᑟ㟁ຊᶵჾࡢᑟධ࣭ᐇ⏝໬ࢆ⪃࠼࡚࠸ࡃୖ࡛ࠊ஺ὶᦆኻࡢ◊✲ࡣ㔜せ࡛
࠶ࡿࠋࡲࡓࠊࢺࣝࢥࡣ◹⣲ࡢ㈨※㔞ࡀ㇏ᐩ࡛࠶ࡿࡇ࡜࠿ࡽࠊ஧◹໬࣐ࢢࢿࢩ࣒࢘࡜࠸࠺᪥ᮏⓎࡢ
㉸ఏᑟᮦᩱ࡟≉࡟ὀ┠ࡋ࡚࠸ࡿࠋఏᑟ෭༷࡟ࡼࡿ㉸ఏᑟ⥺࣭ࢥ࢖ࣝࡢヨ㦂⿦⨨ࡣࠊᑗ᮶ⓗ࡟ࡣࠊ
ࡇࡢ஧◹໬࣐ࢢࢿࢩ࣒࢘ࡢ㉸ఏᑟ⥺ࡸࢥ࢖ࣝࡢヨ㦂ࢆព㆑ࡋࡓࡶࡢ࡛࠶ࡿࠋࢺࣝࢥ࡜ࡢᅜ㝿㐃ᦠ
ࡶ╔ᐇ࡟㐍ᤖࡋࠊࡇࢀࡲ࡛ࡢᐇ⦼ࢆ㋃ࡲ࠼ࠊ᪥ᮏᏛ⾡᣺⯆఍ࡢ஧ᅜ㛫༠ຊ஦ᴗ࡬ࡢᛂເࢆ᳨ウࡍ
ࡿỈ‽࡟㐩ࡍࡿࡇ࡜ࡀ࡛ࡁࡓࠋ
(4) 㛵㐃ࡍࡿᗈሗ࣭࢔࢘ࢺ࣮ࣜࢳάື
኱㟁ὶ㧗 ㉸ఏᑟᑟయࡢ㟁☢⌧㇟ࢩ࣑࣮ࣗࣞࢩࣙࣥࢆࡣࡌࡵ࡜ࡍࡿ㉸ఏᑟᛂ⏝ࡢ◊✲࡟ᑐࡍࡿ
♫఍ࡢ⌮ゎࢆ῝ࡵ࡚ࡶࡽ࠺ࡓࡵࠊ๓ᖺᗘ࡟⥆ࡁࠊప ᕤᏛ࣭㉸㟁ᑟᏛ఍ࡢ⛅Ꮨㅮ₇఍࡟క࠺ᙧࡢ
ᕷẸබ㛤ㅮᗙ࡟ཧ⏬ࡋࡓࠋᖹᡂ 26 ᖺᗘࡢᕷẸබ㛤ㅮᗙࡣ⚟ᓥᕷ࡛㛤ദࡉࢀࠊ⣙༓ேࡢ᮶ሙ⪅ࢆ
ᚓࡿࡇ࡜ࡀ࡛ࡁࡓࡀࠊ≉࡟ࠊ◊✲ဨࡣࠊ㉸ఏᑟ࡟㛵ࡋ࡚ࡢㅮ₇ࢆᢸᙜࡋࡓࠋ
㸱㸬ᡂᯝࡢබ⾲
T. Tsukamoto, T. Mifune, Y. Sogabe, Z. Jiang, T. Nakamura, and N. Amemiya㸹Influence of
geometrical configurations of HTS Roebel cables on their AC losses ,IEEE Trans.Appl.
Supercond., Vol.25, No.3,4802005,6,2015
− 52 −
ᅗ 1 ࢚ࣟ࣋ࣝࢣ࣮ࣈࣝ
ࢪࢢࢨࢢᙧ≧࡟ษࡾฟࡋࡓࢸ࣮ࣉ≧ࡢ㧗 ㉸ఏᑟ⥺ࢆ⦅ࢇࡔࡼ࠺࡞ᵓ㐀ࢆࡋ࡚࠸ࡿࠋ
ᅗ 2 ࢔ࣥ࢝ࣛ኱Ꮫࡢ㉸ఏᑟ◊✲ࢭࣥࢱ࣮㸦ᘓタ୰ࡢ෗┿㸧
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 6 ᭶ 30 ᪥
− 53 −
⮬ື㌴⏝࢞ࢫࢹ࢕ࢫࢳ࣮ࣕࢪࣛࣥࣉ
⮬ື㌴⏝࢞ࢫࢹ࢕ࢫࢳ࣮ࣕࢪࣛࣥࣉ
㹼 ጞື࣓࢝ࢽࢬ࣒ゎ᫂ 㹼
㹼 ጞື࣓࢝ࢽࢬ࣒ゎ᫂ 㹼
ὠᒣᕤᴗ㧗➼ᑓ㛛Ꮫᰯ㟁Ẽ㟁ᏊᕤᏛ⛉
ὠᒣᕤᴗ㧗➼ᑓ㛛Ꮫᰯ㟁Ẽ㟁ᏊᕤᏛ⛉
᳜᭶၏ኵᩍᤵ
᳜᭶၏ኵᩍᤵ
ཷクඛྡ㸸ᰴᘧ఍♫ᑠ⣒〇సᡤ
ཷクඛྡ㸸ᰴᘧ఍♫ᑠ⣒〇సᡤ
㸯㸬┠ⓗ
⮬ື㌴⏝࣊ࢵࢻࣛࣥࣉ࡟⏝࠸ࡽࢀ࡚࠸ࡿ↓Ỉ㖟 HID ࣛࣥࣉ࡟㛵ࡋ࡚ࠊጞື㟁ᅽࡢᥦゝࢆ┠ⓗ
࡜ࡋࠊ㏆᥋ᑟయࡀጞືᛶ⬟࡟ཬࡰࡍᙳ㡪ࢆㄪ࡭ࡿࠋ
㸰㸬ᡂᯝ
㸺┠ⓗ࣭⫼ᬒ㸼
⮬ື㌴⏝࣊ࢵࢻࣛࣥࣉ࡟⏝࠸ࡽࢀ࡚࠸ࡿ↓Ỉ㖟 HID ࣛࣥࣉࡢጞື㟁ᅽ࡟㛵ࡋ࡚ࠊ㐣ཤࡢᐇ㦂
ࡼࡾⓎග⟶ᮦ㉁ࡀጞືᛶ⬟࡟ᙳ㡪ࢆཬࡰࡍࠊ࠿ࡘࣛࣥࣉ㏆ഐࡢ㏆᥋ᑟయࡀጞືᛶ⬟࡟ᙳ㡪ࢆཬࡰ
ࡍ࡜࠸࠺ᐇ㦂⤖ᯝࡀᚓࡽࢀ࡚࠸ࡿࠋ୍᫖ᖺᗘࡢᐇ㦂࡛ࠊⓎග⟶ࡢእഃ࡛ᚤᨺ㟁ࡀⓎ⏕ࡋ࡚࠾ࡾࠊ
Ⓨග⟶እ㒊ࡢ㟁Ⲵࡀጞືᛶ⬟࡟ᙳ㡪ࢆཬࡰࡋࡑ࠺ࡔ࡜࠸࠺⤖ᯝࡀᚓࡽࢀࡓࠋᮏᖺᗘࡣࠊࡑࢀࡽࢆ
ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡾ᫂☜࡟ࡋ࡚࠸ࡃࡇ࡜ࢆ┠ⓗ࡜ࡍࡿࠋࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟౑⏝ࡋࡓࢯࣇࢺ
ࡣ COMSOL multiphysics®࡛࠶ࡿࠋ
㸺⤖ᯝ࠾ࡼࡧ⪃ᐹ㸼
ࡲࡎࠊⓎග⟶ᮦ㉁ࡀጞືᛶ⬟࡟ᙳ㡪ࢆཬࡰࡍᐇ㦂⤖ᯝࢆᅗ 1 ࡟♧ࡍࠋࡑࡋ࡚ࠊⓎග⟶ᙧ≧ࡀྠ
ࡌ࡛ᮦ㉁ࡢࡳࡀ␗࡞ࡿሙྜࡢࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝࢆᅗ 2 ࡟♧ࡍࠋᅗ 2 ࡣࠊⓎග⟶ෆ㒊ࡢ㟁⏺ᙉ
ᗘ࡟኱ࡁ࡞ኚ໬ࡣཬࡰࡉ࡞࠸ࠊ࡜࠸࠺ࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝࢆࡋࡵࡋ࡚࠸ࡿࠋࡑࡇ࡛ࠊᐇ㝿ࡢࣛ
ࣥࣉᙧ≧ࢆṇ☜࡟ᚓ ᐃࡋࠊࡑࡢ᮲௳࡛ࡢࢩ࣑ࣗ
࣮ࣞࢩࣙࣥࢆ⾜ࡗࡓࠋࡑࡢⓎග⟶⺯ග࡜ィ⟬⤖ᯝ
ࢆᅗ 3 ࡟♧ࡍࠋࡑࡢ⤖ᯝࠊⓎග⟶ᮦ㉁ࡣࣛࣥࣉෆ
㒊࡟ࡉ࡯࡝ᙳ㡪ࢆཬࡰࡉࡎࠊࡴࡋࢁⓎග⟶ࡢእ㒊
ࡢ㟁⏺࡟ᙳ㡪ࢆཬࡰࡍࡇ࡜ࡀ☜ㄆ࡛ࡁࡓࠋ
ᅗ㸯 Ⓨග⟶ᮦ㉁࡟ࡼࡿጞືᛶ⬟ࡢᕪ
− 54 −
ᅗ㸰 Ⓨග⟶ᮦ㉁ࡀࣛࣥࣉෆ㒊ࡢ
ᅗ㸱 ᐇᙧ≧࡟࠾ࡅࡿࢩ࣑ࣗ
㟁⏺ᙉᗘ࡟ཬࡰࡍᙳ㡪
࣮ࣞࢩࣙࣥ⤖ᯝ
ḟ࡟ࠊⓎග⟶㏆ഐࡢ㏆᥋ᑟయࡀጞືᛶ⬟࡟ᙳ㡪࡟㛵ࡍࡿᐇ㦂⤖ᯝࢆᅗ 4 ࡟♧ࡍࠋࡑࡋ࡚ᅗ 5 ጞ
ື᫬ࡢⓎ࿧≧ែࢆ෗┿᧜ᙳࡋࡓ⤖ᯝࢆ♧ࡍࠋࡇࢀࡽࡢ⤖ᯝࡣࠊⓎග⟶ᮦࡢእഃ࡟ᑟయࡀ࠶ࡿሙྜࠊ
ጞືᛶ⬟ࡀྥୖࡍࡿࡇ࡜࡜ᨺ㟁ࡢᙧ≧ࡀኚࢃࡿ㸦ᑟయ࡟ἢࡗࡓᙧ≧࡟࡞ࡿ㸧ࡇ࡜ࢆ♧ࡍࠋࡲࡓࠊ
Ⓨග⟶ࡀእ㒊ࡢ㔠ᒓࡢ㟁఩ࡣᙳ㡪ࡀᑠࡉ࠸ࡇ࡜ࡀࢃ࠿ࡿࠋࡇࢀࡽࢆᇶ࡟ࠊⓎග⟶እ㒊࡟㟁Ⲵࡀ⵳
✚ࡉࢀࡓሙྜࠊࡑࡋ࡚ࡑࡢ㟁Ⲵࡀṇ࠶ࡿ࠸ࡣ㈇ࡢࡤ࠶࠸ࠊⓎග⟶ෆ㒊ࡢ㟁⏺ᙉᗘ࡟࡝ࡢࡼ࠺࡞ኚ
໬ࡀ㉳ࡁࡿࡢ࠿ࢆࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡾㄪ࡭ࡓ⤖ᯝࢆᅗ 6 ࡟♧ࡍࠋࡇࡢ⤖ᯝࡼࡾࠊ㟁Ⲵ㔞ࡀ኱
ࡁࡃ࡞ࡿ࡜Ⓨග⟶ෆ㒊ࡢ㟁⏺ᙉᗘࡣୖ᪼ࡍࡿࡇ࡜ࠊ㟁Ⲵ㔞ࡀ࠶ࡿ⛬ᗘ௨ୖ࡟࡞ࡿ࡜ࠊࡑࡢ✀㢮㸦ṇ
㈇㸧ࡣᙳ㡪ࢆཬࡰࡉ࡞࠸ࡇ࡜ࡀ☜ㄆ࡛ࡁࡓࠋ
ᅗ㸲 Ⓨග⟶㏆ഐࡢᑟయࡀጞືᛶ⬟࡟ཬࡰࡍᙳ㡪
ᅗ㸳 ㏆᥋ᑟయ᭷ࡾ↓ࡋ࡛ࡢᨺ㟁ᙧ≧ࡢ㐪࠸
ᅗ㸴 Ⓨග⟶እ㒊ࡢ㟁Ⲵࡢ㔞࣭✀㢮㸦ṇ㈇㸧ࡀⓎග⟶ෆ㒊ࡢ㟁⏺ᙉᗘ࡟୚࠼ࡿᙳ㡪
㸺⤖ㄽ㸼
− 55 −
ጞື㟁ᅽࢆపῶࡉࡏࡿ࡟ࡣࠊⓎග⟶እ㒊ࡢ㟁Ⲵࢆ⵳✚ࡉࡏࡿࡇ࡜ࡀ᭷ຠ࡛࠶ࡿࡇ࡜ࠊⓎග⟶ࡢ
ᙧ≧ࡸⓎග⟶እ㒊ࡢ㟁⏺ᙉᗘ࡟ᙳ㡪ࢆཬࡰࡍࡇ࡜ࠊࡀ☜ㄆ࡛ࡁࡓࠋ㏆᥋ᑟయࡢ⤖ᯝࢆ㋃ࡲ࠼ࠊ௒
ᚋࡣࠊⓎග⟶እ㒊࡟࡝ࡢࡼ࠺࡟㟁Ⲵࢆ⵳✚ࡉࡏࡿ࠿ࢆ᳨ウࡋ࡚࠸ࡃணᐃ࡛ࡍࠋ
㸱㸬ᡂᯝࡢබ⾲
(1)᳜᭶၏ኵࠊᔱ⏣㈼⏨ࠊᑠ㔝⏣ᖾኸࠊὠ⏣ಇ᫂ࠊᚿ⸨㞞ஓ㸹↓Ỉ㖟࣓ࢱࣝࣁࣛ࢖ࢻࣛࣥࣉࡢጞື
࣓࢝ࢽࢬ࣒࡟㛵ࡍࡿ◊✲ࠊ↷᫂Ꮫ఍ㄅࠊ➨ 98 ᕳࠊ➨ 8A ྕ pp.346-351ࠊ2014
(2)ᒣᮏ㑈ኴࠊᔱ⏣㈼⏨ࠊ᳜᭶၏ኵ㸹⮬ື㌴࣊ࢵࢻࣛࣥࣉ⏝ HID ࣛࣥࣉࡢጞື㟁ᅽపῶ᪉ἲࡢ᳨
ウࠊᖹᡂ 26 ᖺᗘ(➨ 47 ᅇ)↷᫂Ꮫ఍඲ᅜ኱఍(2014 ᖺ 9 ᭶ 5 ᪥㸧
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 7 ᪥
− 56 −
Ᏻ඲᝟ሗࢆఏ࠼ࡿ࣓ࢹ࢕࢔ࡢ◊✲㸦ࡑࡢ 2㸧
ி㒔㐀ᙧⱁ⾡኱Ꮫ
ᑿụ࿴ኵᏛ㛗
ཷクඛྡ㸸ᮾ㟁タィᰴᘧ఍♫
㸯㸬┠ⓗ
୍⯡࡟ࠊ࡝ࢀࡔࡅ༴㝤࡞ࡶࡢ࡛࠶ࡿ࠿ࠊ࠶ࡿ࠸ࡣ࡝ࢀࡔࡅ༴㝤࡞ࡇ࡜࡛࠶ࡿ࠿ࠊ࡜࠸࠺どⅬ࡛ㄆ
㆑ࡉࢀ࡚࠸ࡿᴫᛕࡀ࠶ࡿሙྜࠊࡑࢀࡽࡣゝ࠸᥮࠼ࢀࡤࠊ࡝ࢀࡔࡅᏳ඲࡞ࡶࡢ࡛࠶ࡿ࠿ࠊ࠶ࡿ࠸ࡣ࡝
ࢀࡔࡅᏳ඲࡞ࡇ࡜࡛࠶ࡿ࠿ࠊ࡜࠸࠺ࡼ࠺࡟⾲⌧࡛ࡁࡿሙྜࡀከ࠸ࠋࡑࡢࡼ࠺࡞どⅬ࡛ࠊ࠸ࡃࡘ࠿ࡢ
ලయ౛ࢆྲྀࡾୖࡆ࡚ศᯒࡋࠊࡑࡢࠕࡶࡢࠖࡸࠕࡇ࡜ࠖࡢෆᐜࢆ⛉Ꮫⓗ࡟ṇࡋࡃ୍⯡ࡢᕷẸ࡟ㄆ㆑ࡋ
࡚ࡶࡽ࠼ࡿࡼ࠺࡞ఏ㐩࣓ࢹ࢕࢔ࡢ᭱㐺໬ࢆᅗࡿࡇ࡜ࢆ◊✲ࡢ┠ⓗ࡜ࡍࡿࠋ
㸰㸬ᡂᯝ
ᖹᡂ 25 ᖺᗘࡢඛ⾜◊✲ࠊ࠾ࡼࡧᖹᡂ 26 ᖺᗘ࡟ే⾜ࡋ࡚⾜ࢃࢀࡓ◊✲࡟ࡼࡗ࡚ᚓࡽࢀࡓ▱ぢࢆ
⏕࠿ࡋ࡚ࠊࡑࡢᡂᯝ࡜ࡋ࡚ᥦ᱌ࡉࢀࡓₔ⏬ࡢసᡂࢆᐇ㝿࡟ලయ໬ࡍࡿࡇ࡜ࢆ┠ᶆ࡟◊✲άືࢆ௻⏬
ࡋࡓࠋᏳ඲᝟ሗࢆఏ࠼ࡿ࣓ࢹ࢕࢔ࡢලయⓗ࡞ጼࢆồࡵ࡚ࠊ࢔ࢽ࣓ࠊₔ⏬ࠊ⣬Ⱚᒃ࡞࡝ࢆྵࡵ࡚ࠊࡉ
ࡲࡊࡲࡢᡭἲࢆẚ㍑᳨ウࡍࡿ୰࡛ࠊᐇ㝿࡟࣓ࢹ࢕࢔ࢆไసࡋ࡚ࡑࡢຠᯝࢆᐇ㦂ⓗ࡟ㄪ࡭ࡓ⤖ᯝࠊ᭷
ຠ࡞ᡭẁࡢ୍ࡘ࡜ࡋ࡚ₔ⏬ࢆసᡂࡋࠊࡑࡢຠᯝࢆㄪ࡭ࡿࡇ࡜ࢆ┠ᣦࡋࡓࠋ
ₔ⏬ࡢసᡂࢆₔ⏬ᐙ࡟౫㢗ࡋࠊࡑࡢᥦ᱌ࢆࡶ࡜࡟ࡋ࡚ࠊࡉࡲࡊࡲࡢศ㔝࠿ࡽ⦅ᡂࡋࡓ᳨ウ఍㆟ࢆ
⧞ࡾ㏉ࡋ࡚ࠊᏱᐂࡢጞࡲࡾ࠿ࡽᆅ⌫ࡢ㏆ᮍ᮶ࡲ࡛ࡢࢫࢺ࣮࣮ࣜࢆヨ⾜ⓗ࡟ࡲ࡜ࡵࡓࠋࡑࡢₔ⏬ࡢᐇ
౛ࢆୗグ࡟♧ࡍࠋ
ᅗ ₔ⏬ࡢ᭱ึࡢ㒊ศࢆ౛♧
− 57 −
ₔ⏬ᮏࡢ௬ࡢ㢟ࡣࠗ࠶ࡗ㸟 ᆅ⌫ࡀ࣭࣭࣭࠘ࠊ๪㢟࡜ࡋ࡚ࠕₔ⏬࡟ࡼࡿᏱᐂࡢጞࡲࡾ࠿ࡽᆅ⌫ࡢ
㏆ᮍ᮶ࡲ࡛ࠖ࡜ࡋ࡚࠸ࡿࠋ
ࡑࢀࡒࢀࡢ㥖ࡢ㝮࡟ࠕゎㄝ࡞ࡲࡎࠖࢆⓏሙࡉࡏࠊࡑࢀࡀ࠶ࡿ⏬㠃࡟ࡘ࠸࡚ࡣࠊᚋ༙࡟ヲࡋ࠸ゎㄝ
ࢆタࡅࠊ▱㆑ࢆ῝ࡵࡓ࠸ேࡢࡓࡵࡢᏛ⩦ࢆྍ⬟࡜ࡍࡿෆᐜ࡜ࡋ࡚࠸ࡿࠋࡑࡢ᭱ึࡢ㒊ศࢆୗグ࡟♧
ࡍࠋ
࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭
࠙ゎㄝ࡞ࡲࡎࡢ࣮࣌ࢪࠚ
ₔ⏬࡛ࡢ⌮ゎࢆ῝ࡵࡿࡓࡵ࡟ࠊ⛉Ꮫ⪅ࡢᣢࡗ࡚࠸ࡿ▱㆑ࢆᑡࡋ⩻ヂࡋ࡞ࡀࡽࠊゎㄝ࡞ࡲࡎ࡟ゎㄝ
ࡋ࡚ࡶࡽ࠺ࡇ࡜࡟ࡋࡲࡋࡓࠋₔ⏬ࡢ࣮࣌ࢪࡢୗࡢ㝮࡟ゎㄝ࡞ࡲࡎࡀⓏሙࡍࡿ࡜ࠊࡇࡢゎㄝ࡞ࡲࡎࡢ
࣮࣌ࢪ࡟ࠊఱࡽ࠿ࡢ㛵㐃ࡍࡿゎㄝࡀฟ࡚࠸ࡿ࡜࠸࠺ࢧ࢖࡛ࣥࡍࠋู࡟ࡑࢀࢆㄞࡲ࡞ࡃ࡚ࡶࠊₔ⏬ࢆ
ࡵࡃࡗ࡚࠸ࡃ࡜ࠊᏱᐂࡢጞࡲࡾ࠿ࡽࡢṔྐࡀఱ࡜࡞ࡃࡓ࡝ࢀࡿࡼ࠺࡟ࡋࡓࡘࡶࡾ࡛ࡍࠋ࡛ࡶࠊゎㄝ
ࢆㄞࡴ࡜ࠊࡲࡓᑡࡋ῝࠸⌮ゎࡀᚓࡽࢀࡿ࠿ࡶࡋࢀࡲࡏࢇࠋ
ゎㄝ࡞ࡲࡎࡢ࣮࣌ࢪࡔࡅࢆㄞࢇ࡛ࡶࠊఱࡽ࠿ࡢ▱㆑ࡀᚓࡽࢀࡿࡼ࠺࡟ࠊ࠾஫࠸࡟⊂❧ࡋ࡚౑࠼ࡿ
ࡼ࠺࡟ᚰࡀࡅࡲࡋࡓࠋ
ࡇࡢࡼ࠺࡞⤌ࡳ❧࡚ࡢᮏࡀᙺ❧ࡘ࠿࡝࠺࠿ࠊึࡵ࡚ࡢヨࡳࢆࡈぴ࠸ࡓࡔࡁࠊⓙᵝ࠿ࡽࡢࡈពぢࢆ
࠸ࡓࡔࡁࡓࡃᏑࡌࡲࡍࠋ
ࡑࢀ࡛ࡣࠊ⚾ࡓࡕࡢ࠸ࡿᏱᐂࡢ᪑ࢆࠊ137 ൨ᖺ๓࠿ࡽ㏆ᮍ᮶ࡲ࡛ࡢ᪑ࢆࠊ▷᫬㛫࡛య㦂ࡋ࡚ࡳ࡚
ࡃࡔࡉ࠸ࠋ
࠙ࢱ࢖࣒࣐ࢩࣥ࡟஌ࡗ࡚ࠚ㸦ₔ⏬࣮࣌ࢪ 2㹼3㸧
Ᏹᐂࡀ⏕ࡲࢀࠊኴ㝧ࡀ⏕ࡲࢀࠊኴ㝧⣔ࡀᵓᡂࡉࢀ࡚ࠊࡑࡢ୰࡟ᆅ⌫ࡀ⏕ࡲࢀࠊࡑࡋ࡚᭶ࡀ⏕ࡲࢀ
ࡲࡋࡓࠋኴ㝧ࡢྡࡣࠊࢯࣝࡃࢇࠊᆅ⌫ࡣࢸࣛࡉࢇࠊ᭶ࡣࣝࢼࡉࢇ࡜࿧ࡪࡇ࡜࡟ࡋࡲࡋࡓࠋ㸦୰␎㸧
࠙Ᏹᐂࡢጞࡲࡾࢆほࡿࠚ㸦ₔ⏬࣮࣌ࢪ 4㹼5㸧
⚾ࡓࡕࡢほ ࡛ࡁࡿᏱᐂࡣࠊ௒࠿ࡽࠊ137.72±0.59 ൨ᖺ๓࡟ጞࡲࡗࡓ࡜ゝࢃࢀ࡚࠸ࡲࡍࠋࡑࡢỌ
࠸᫬㛫ࢆࠊ⚾ࡓࡕே㛫ࡢ⬦ᢿࡢࣜࢬ࣒࡟⨨ࡁ࠿࠼࡚ࡳࡲࡋࡓࠋ⬦ᢿࡢࣜࢬ࣒ࡣࠊ1 ࣊ࣝࢶࠊࡘࡲࡾ
㸯⛊㛫࡟㸯ᅇࡢࣜࢬ࣒࡛ࡍࠋࡑࢀࢆ༢఩࡜ࡋ࡚ࠊ137.72±0.59 ൨ᖺࢆᩘ࠼ࡿ࡜ࠊ௒࠿ࡽ 43 ி 5 ༓
2 ⓒ඙⛊±1 ༓ 8 ⓒ඙⛊๓࡟⚾ࡓࡕࡢ࠸ࡿᏱᐂࡀ⏕ࡲࢀࡓࡇ࡜࡟࡞ࡾࡲࡍࠋ㸦ᚋ␎㸧
࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭࣭
ࡇࡢࡼ࠺࡟ࠊᐇ㝿ࡢไసࢆ㐍ࡵࡿ࡜࡜ࡶ࡟ࠊࡑࡢຠᯝࢆᗈ࠸ศ㔝ࡢேࡧ࡜ࡢ⌮ゎᗘ࠿ࡽㄪ࡭ࠊࡉ
ࡽ࡟඘ᐇࡋࡓࡶࡢ࡟௙ୖࡆࡿࡇ࡜ࢆᘬࡁ⥆ࡁ┠ࡊࡍࡇ࡜࡜ࡋ࡚࠸ࡿࠋ
㸱㸬ᡂᯝࡢබ⾲
ᑿụ࿴ኵ㸦༢ⴭ㸧㸹2038 ᖺ༡ᾏࢺࣛࣇࡢᕧ኱ᆅ㟈ࠊ࣐ࢽࣗ࢔ࣝࣁ࢘ࢫࠊ2015
ሗ࿌᭩సᡂ᪥㻌 ᖹᡂ 27 ᖺ 5 ᭶ 29 ᪥
− 58 −
࣓࢞ࢯ࣮࣮ࣛ⏝࢖ࣥࣂ࣮ࢱ࣮࡟࠾ࡅࡿ
ไᚚ࢔ࣝࢦࣜࢬ࣒㛤Ⓨ
ி㒔኱Ꮫ኱Ꮫ㝔᝟ሗᏛ◊✲⛉
ኴ⏣ᛌேᩍᤵ
㛗ᒸᢏ⾡⛉Ꮫ኱Ꮫ
ᖹ⏣◊஧෸ᩍᤵ
ཷクඛྡ㸸ᰴᘧ఍♫ࢲ࢖࣊ࣥ ศᩓ㟁※ࢩࢫࢸ࣒஦ᴗ㒊
㸯㸬┠ⓗ
ኴ㝧ගⓎ㟁࡟ࡼࡿ㟁ຊࢆ⣔⤫㐃⣔ࡍࡿ࢖ࣥࣂ࣮ࢱࡢไᚚ࢔ࣝࢦࣜࢬ࣒ࢆ᪂ࡓ࡟㛤Ⓨࡍࡿࠋ≉࡟ࠊ 」ᩘࡢ࢖ࣥࣂ࣮ࢱࡀ༠ㄪࡋ࡚↓ຠ㟁ຊ⿵ൾࢆ⾜࠺ࡇ࡜࡟ࡼࡗ࡚㓄㟁⣔⤫ࡢ㟁ᅽኚືࢆᢚ࠼ࡿࡇ࡜
ࢆ┠ⓗ࡜ࡍࡿࠋ
㸰㸬ᡂᯝ
㓄㟁⣔⤫࡟࠾࠸࡚ࡣࠊኴ㝧ගⓎ㟁ࡢ㔞ࡀቑ࠼ࡿ࡟ࡋࡓࡀࡗ࡚ࠊ㟁ຊ㏫₻⌧㇟࡟ࡼࡿ㟁ᅽୖ᪼ࡢ
ၥ㢟ࡀ⏕ࡌ࡚࠸ࡿࠋ㟁ᅽୖ᪼࡟ᑐࡋ࡚ࡣࠊ↓ຠ㟁ຊ⿵ൾ࡟ࡼࡿ㟁ᅽㄪᩚࡀ୍⯡࡟⾜ࢃࢀ࡚࠸ࡿࠋ
ᮏ◊✲࡛ࡣࠊ」ᩘࡢ࢖ࣥࣂ࣮ࢱࡀ༠ㄪࡋ࡚⿵ൾ↓ຠ㟁ຊ㔞ࢆ㈇ᢸࡍࡿࡇ࡜࡟ࡼࡗ࡚ࠊ㟁ᅽୖ᪼ࢆ
ᢚ࠼ࡿไᚚ᪉⟇ࢆᥦ᱌ࡍࡿࠋ≉࡟ࠊྜព࢔ࣝࢦࣜࢬ࣒ࡸ౯᱁ᥦ♧࢔ࣝࢦࣜࢬ࣒࡟ࡼࡗ࡚ศᩓ༠ㄪ
ⓗ࡞ไᚚ࢔ࣝࢦࣜࢬ࣒ࢆ㛤Ⓨࡋ࡚࠾ࡾࠊࢩ࣑࣮ࣗࣞࢩࣙࣥ࡞ࡽࡧ࡟ᶍᨃ㟁※ᐇ㦂⿦⨨࡟ࡼࡗ࡚ᥦ
᱌ἲࡢ᭷ຠᛶࢆ☜ㄆࡋ࡚࠸ࡿࠋᮏ௳࡟ࡘ࠸࡚ࡣᏛ఍Ⓨ⾲ࢆ⾜ࡗ࡚࠸ࡿࠋ
㸱㸬ᡂᯝࡢබ⾲
(1) ▼஭㈗ᘺࠊᖹ⏣◊஧ࠊ኱ᇼᙲ኱ࠊ᭹㒊ᑗஅࠊኴ⏣ᛌே㸹౯᱁ᥦ♧ࢆ฼⏝ࡋࡓ㓄㟁⣔⤫㟁ᅽࡢ
ศᩓไᚚ࡟㛵ࡍࡿ⪃ᐹࠊ➨ 57 ᅇ⮬ືไᚚ㐃ྜㅮ₇఍ࠊ⩌㤿ࠊ2014 ᖺ 11 ᭶ 10-12 ᪥
(2) 㜿ஂὠᙟࠊᖹ⏣◊஧ࠊ኱ᇼᙲ኱ࠊ᭹㒊ᑗஅࠊኴ⏣ᛌே㸹౯᱁ᥦ♧࡟ࡼࡿ኱つᶍኴ㝧ගⓎ㟁࢖
ࣥࣂ࣮ࢱ⩌ࡢ㈇Ⲵศᩓไᚚࠊ➨ 57 ᅇ⮬ືไᚚ㐃ྜㅮ₇఍ࠊ⩌㤿ࠊ2014 ᖺ 11 ᭶ 10-12 ᪥
(3) ▼஭㈗ᘺࠊᖹ⏣◊஧ࠊ኱ᇼᙲ኱ࠊ᭹㒊ᑗஅࠊኴ⏣ᛌே㸹౯᱁ᥦ♧ࢆ฼⏝ࡋࡓ㟁ᅽୖ᪼ᢚไศ
ᩓไᚚࠊSSI2014ࠊᒸᒣࠊ23rdࠊNovemberࠊSS5-8ࠊ2014
(4) 㜿ஂὠᙟࠊᖹ⏣◊஧ࠊ኱ᇼᙲ኱ࠊ᭹㒊ᑗஅࠊኴ⏣ᛌே㸹౯᱁ᥦ♧࡟ࡼࡿ኱つᶍኴ㝧ගⓎ㟁࢖
ࣥࣂ࣮ࢱ⩌ࡢศᩓᆺ㟁ᅽᢚไࠊSSI2014ࠊᒸᒣࠊ23rdࠊNovemberࠊSS5-9ࠊ2014
(5) ▼஭㈗ᘺࠊᖹ⏣◊஧ࠊ኱ᇼᙲ኱ࠊ᭹㒊ᑗஅࠊኴ⏣ᛌே㸹౯᱁ᥦ♧ࢆ฼⏝ࡋࡓ㓄㟁⣔⤫㟁ᅽࡢ
ศᩓไᚚࠊSICE ➨ 2 ᅇไᚚ㒊㛛࣐ࣝࢳࢩ࣏ࣥࢪ࣒࢘ࠊᮾிࠊ2015 ᖺ 3 ᭶ 6 ᪥
− 59 −
(6) 㜿ஂὠᙟࠊᖹ⏣◊஧ࠊ኱ᇼᙲ኱ࠊ᭹㒊ᑗஅࠊኴ⏣ᛌே㸹౯᱁ᥦ♧ࢆ⏝࠸ࡓ⣔⤫㐃⣔࢖ࣥࣂ࣮
ࢱ⩌࡟ࡼࡿ㐃⣔Ⅼ㟁ᅽไᚚࡢᐇᶵ᳨ドࠊᖹᡂ 27 ᖺᗘ㟁ẼᏛ఍඲ᅜ኱఍ࠊᮾிࠊ2015 ᖺ 3 ᭶ 25
᪥
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 6 ᭶ 29 ᪥
− 60 −
ᦙ㏦⿦⨨ཬࡧ㟁※⿦⨨ࡢไᚚᢏ⾡ࡢ㛤Ⓨ
ி㒔኱Ꮫ኱Ꮫ㝔᝟ሗᏛ◊✲⛉
ኴ⏣ᛌேᩍᤵ
㛗ᒸᢏ⾡⛉Ꮫ኱Ꮫ
ᖹ⏣◊஧෸ᩍᤵ
ཷクඛ㸸ᰴᘧ఍♫ࢲ࢖࣊ࣥ ACT ஦ᴗ㒊
㸯㸬┠ⓗ
࢙࢘ࣁ࣮ᦙ㏦ࣟ࣎ࢵࢺࡢไᚚᢏ⾡ࢆ㛤Ⓨࡍࡿࠋ≉࡟ᇶᯈᦙ㏦⏝ࣟ࣎ࢵࢺࡢ᣺ືᢚไไᚚࡸ᪼㝆
ᶵᵓࢆࡶࡗࡓࣟ࣎ࢵࢺࡢไᚚ࡟ࡘ࠸࡚ࠊၥ㢟Ⅼࢆᢳฟࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡍࡿࠋ
㸱㸬ᡂᯝࡢබ⾲
௒ᖺᗘࡣࠊᡂᯝබ㛤ࢆࡍࡿⓎ⾲ࡣ࠶ࡾࡲࡏࢇࠋ
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 6 ᭶ 29 ᪥
− 61 −
᪂つࣉࣟࢺࣥఏᑟᛶ㟁ゎ㉁ࢆ⏝࠸ࡓ
᪂つࣉࣟࢺࣥఏᑟᛶ㟁ゎ㉁ࢆ⏝࠸ࡓ
୰ ⇞ᩱ㟁ụ࡟㛵ࡍࡿᇶ♏◊✲
᪂つࣉࣟࢺࣥఏᑟᛶ㟁ゎ㉁ࢆ⏝࠸ࡓ
୰ ⇞ᩱ㟁ụ࡟㛵ࡍࡿᇶ♏◊✲
୰ ⇞ᩱ㟁ụ࡟㛵ࡍࡿᇶ♏◊✲
ி㒔኱Ꮫ⏘ᐁᏛ㐃ᦠᮏ㒊
ி㒔኱Ꮫ⏘ᐁᏛ㐃ᦠᮏ㒊
ி㒔኱Ꮫ⏘ᐁᏛ㐃ᦠᮏ㒊
ᑠஂぢၿඵ≉௵ᩍᤵ
ᑠஂぢၿඵ≉௵ᩍᤵ
ᑠஂぢၿඵ≉௵ᩍᤵ
ி㒔኱Ꮫ⏘ᐁᏛ㐃ᦠᮏ㒊
ᑠஂぢၿඵ≉௵ᩍᤵ
ཷクඛ㸸㛵す㟁ຊᰴᘧ఍♫
ཷクඛ㸸㛵す㟁ຊᰴᘧ఍♫
ཷクඛ㸸㛵す㟁ຊᰴᘧ఍♫
ཷクඛ㸸㛵す㟁ຊᰴᘧ఍♫
㸯㸬┠ⓗ
⇞ᩱ㟁ụࡣ⮬ື㌴⏝㏵࡜ࡋ࡚ᖹᡂ 26 ᖺᗘ࡟ၟ⏝໬ࡀ㐩ᡂࡉࢀࡓࠋ㓟ᛶ㟁ゎ㉁ࢆ⏝࠸ࡿ⇞ᩱ㟁
ụ࡛ࡣ㟁ᴟゐ፹࡜ࡋ࡚ከ㔞ࡢⓑ㔠ࡀ౑⏝ࡉࢀࡿࡀࠊ࢔ࣝ࢝ࣜᛶ㟁ゎᾮ࡛ࡣ࣌ࣟࣈࢫ࢝࢖ࢺ࡞࡝ࡢ
㓟໬≀ࢆ㟁ᴟゐ፹࡜ࡋ࡚฼⏝ࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋ⇞ᩱ㟁ụࡢᬑཬ࡟ࡣ㟁ᴟゐ፹ᮦᩱࡢ㈨※ไ⣙࠿
ࡽࡢ⬺༷ࡀㄢ㢟࡛࠶ࡿࠋ㠀㈗㔠ᒓゐ፹ࡢ౑⏝ࡀྍ⬟࡜࡞ࡿ࢔ࣝ࢝ࣜᆺ⇞ᩱ㟁ụࡢ㓟⣲㑏ඖゐ፹୪
ࡧ࡟ゐ፹ᢸయࡢᏳᐃᛶ࡟ࡘ࠸࡚ヲ⣽࡟᳨ウࡍࡿࠋ
㸰㸬ᡂᯝ
⇞ᩱ㟁ụࡢゐ፹ᢸయ࡟ࡣẚ⾲㠃✚ࡢ኱ࡁ࠸Ⅳ⣲ᮦᩱࡀ⏝࠸ࡽࢀࡿࠋࡇࡢⅣ⣲ᢸయࡢ㓟໬㑏ඖ࡟
ᑐࡍࡿᏳᐃᛶࡣ⇞ᩱ㟁ụࡢᑑ࿨࡟኱ࡁ࡞ᙳ㡪ࢆ୚࠼ࡿࠋࡇࢀࡲ࡛ࠊỈ⁐ᾮ୰࡟࠾ࡅࡿ㐣㓟໬Ỉ⣲
࡟ࡼࡿ㯮㖄⾲㠃ࡢ㓟໬ࡸࠊࣉࣟࣆ࣮ࣞࣥ࢝࣎ࢿ࣮ࢺ(PC)ࢆ⏝࠸ࡓ⣔࡛ࡢࣜࢳ࣒࢘ࡢᤄධ᫬ࡢ㯮㖄
⾲㠃ࡢ๤㞳࡞࡝ࢆ᫂ࡽ࠿࡟ࡋ࡚ࡁࡓࠋ
㑏ඖ࡟ᑐࡍࡿᏳᐃᛶࡣ⇞ᩱ㟁ụࡢ᮲௳࡛ࡣㄢ㢟࡜࡞ࡿࡇ࡜ࡣᑡ࡞࠸ࡀࠊⅣ⣲ᮦᩱࡢ⾲㠃Ḟ㝗࡞
࡝࠿ࡽࡢ࢔ࢽ࢜ࣥࡢᤄධࡣ⇞ᩱ㟁ụࡢ᮲௳࡛ࡶ㉳ࡇࡾ࠺ࡿࡇ࡜࡛࠶ࡿࠋࡑࡇ࡛ࠊᮏᖺᗘࡣ㯮㖄࡬
ࡢᤄධ࡟ᑐࡍࡿ⁐፹୪ࡧ࡟ῧຍ≀ࡢᙳ㡪ࢆヲ⣽࡟᳨ウࡋࡓࠋ
Ⅳ⣲ᮦᩱࡣ Basal 㠃࡜ Edge 㠃ࢆᣢࡕࠊⅣ⣲ᮦᩱ࡟ࡼࡗ࡚୧㠃ࡢẚ⋡ࡀ␗࡞ࡿࠋBasal 㠃ࡣ཯
ᛂ࡟ᑐࡋ࡚㠀ᖖ࡟୙άᛶ࡛࠶ࡾࠊ୍᪉ࠊEdge 㠃ࡣ㓟໬ࡸ㑏ඖ࡟ᑐࡋ࡚άᛶ࡛࠶ࡿࠋ౛࠼ࡤࠊⓑ
㔠ᚤ⢏Ꮚࢆ㧗㓄ྥᛶ⇕ศゎ㯮㖄 HOPG ⾲㠃࡟ᢸᣢࡋ࡚㐣㓟໬Ỉ⣲ࡢࡼ࠺࡞㓟໬๣࡛㓟໬ࡍࡿ࡜
Edge 㠃ࡀ㓟໬ࡉࢀࠊⓑ㔠ᚤ⢏Ꮚࡀ Edge 㠃࡟㞟ྜࡋ࡚ࡃࡿࠋࡲࡓࠊࢢࣛࣇ࢓࢖ࢺᒙ㛫໬ྜ≀(GIC)
ࡢᤄධ⬺㞳཯ᛂࡶ Edge 㠃࡛㐍⾜ࡍࡿࠋ
ࣜࢳ࣒࢘࢖࢜ࣥ㟁ụ(LIB)ࡢ㯮㖄㈇ᴟ࡛ࡼࡃ▱ࡽࢀ࡚࠸ࡿࡼ࠺࡟ࠊethylene carbonate(EC)⣔
ࡢ㟁ゎᾮ࡛ࡣ⾲㠃࡟ Solid Electrolyte Interface(SEI)࡜࿧ࡤࢀࡿ⿕⭷ࡀ⏕ᡂࡋࠊࡇࡢ⿕⭷ࢆ Li+
ࡀ㏻㐣ࡍࡿ࡜ࡁ࡟⬺⁐፹࿴ࡀ࠾ࡇࡾࠊࢢࣛࣇ࢙ࣥᒙࡢ๤㞳ࢆᢚ࠼࡚ Li+ࡢᤄධࡀྍ⬟࡜࡞ࡿࠋ୍
᪉ PC ࢆ⁐፹࡜ࡍࡿ࡜ࠊ୙ാయ໬ࡀ㉳ࡇࡽࡎ࡟㯮㖄ࡢ๤㞳ࡀ㐍⾜ࡋ࡚ Li+ࡢᤄධ཯ᛂࡀ㉳ࡇࡽ࡞
࠸ࠋEC ⣔ࡢ㟁ゎᾮ࡛ࡶࠊึᮇࢧ࢖ࢡ࡛ࣝࡣ㒊ศⓗ࡟㯮㖄ࡢ๤㞳ࡀ㉳ࡇࡾࠊLi+ࡢࣟࢫ࡟࡞ࡾࠊࢡ
࣮ࣟࣥຠ⋡ࡀపୗࡋࠊ㟁ụࡢᐜ㔞ࢆపୗࡉࡏࡿࠋࡇࡢึᮇ୙ྍ㏫཯ᛂࢆ࡛ࡁࡿࡔࡅᢚไࡋ࡚㧗ᐜ
㔞໬ࡍࡿࡓࡵ࡟✀ࠎࡢῧຍ≀ࡀᕤኵࡉࢀ࡚࠸ࡿࠋࡲࡓࠊ᭷ᶵ㟁ゎᾮࢆ⏝࠸ࡿ LIB ࡛ࡣⓎⅆ࡜࠸ࡗ
ࡓᏳ඲ᛶࡀ኱ࡁ࡞ㄢ㢟࡛࠶ࡿࠋ
Ᏻ඲ᛶࡢྥୖࢆᅗࡿࡓࡵࡢព㞴⇞ᛶࡢ㟁ゎᾮࡢ㛤Ⓨࢆ┠ᣦࡋ࡚ከࡃࡢ◊✲ࡀࡉࢀ࡚࠸ࡿࡀࠊึ
− 62 −
ᮇࢡ࣮ࣟࣥຠ⋡࡜ࡢ୧❧ࢆᅗࡾࠊ㧗࠸ࢧ࢖ࢡࣝ≉ᛶࢆᣢࡘ㟁ゎᾮࡣᐜ࡛᫆ࡣ࡞࠸ࠋ
ࣜࣥ㓟࢚ࢫࢸࣝ⣔ࡢ⁐፹ࡣ㟁ゎᾮࡢ㞴⇞໬ࡢࡓࡵࡢ᭷ຊ࡞ῧຍ๣࡛࠶ࡿࠋࡋ࠿ࡋࠊࣜࣥ㓟࢚ࢫ
ࢸࣝ㢮ࡣึᮇ୙ྍ㏫ᐜ㔞ࡀ኱ࡁࡃ࡞ࡿ࡜࠸࠺ḞⅬࡀ࠶ࡿࠋ㟁ゎᾮࢆ㞴⇞໬ࡋࠊ୙ྍ㏫ᐜ㔞ࢆపῶ
ࡍࡿࡓࡵ࡟ࣜࣥ㓟࢚ࢫࢸࣝ㢮ࢆ㒊ศࣇࢵ⣲໬ࡋࡓῧຍ๣ࢆ᳨ウࡋࡓࠋ
EC ࡜ diethyl carbonate(DEC)ࢆ 1㸸1 ࡟ΰྜࡋࡓ⁐፹࡟ 1M LiClO4 ࢆ⁐ゎࡋࡓ㟁ゎᾮࢆᇶ‽
㟁ゎᾮ࡜ࡋ࡚㑅ࢇࡔࠋᐇ⏝㟁ụ࡛ࡣ LiPF6 ࡀ㟁ゎ㉁ሷ࡜ࡋ࡚⏝࠸ࡽࢀࡿࡀࠊ⑞㊧⛬ᗘࡢỈศ࡟ᑐ
ࡋ࡚㠀ᖖ࡟ᩄឤ࡛࠶ࡿࠋࡑࡇ࡛ࠊ⬺Ỉࡢ㞴ࡋ࠸ࣜࣥ㓟࢚ࢫࢸࣝࡢຠᯝࢆヲ⣽࡟ㄪ࡭ࡿࡓࡵ࡟ࠊ⑞
㊧⛬ᗘࡢỈศࡢᙳ㡪ࢆཷࡅ࡟ࡃ࠸ LiClO4 ࢆ㟁ゎ㉁ሷ࡜ࡋ࡚㑅ᢥࡋࡓࠋᐇ㦂ࡣࡍ࡭࡚㟢Ⅼࡀ㸫80Υ
௨ୗࡢ Ar ࢢ࣮ࣟࣈ࣎ࢵࢡࢫ୰࡛⾜ࡗࡓࠋ
㞴⇞໬ῧຍ๣࡜ࡋ࡚ࣇࢵ⣲ࢆྵࡲ࡞࠸ trimethyl phosphate(TMP)࡜ triethyl phosphate (TEP)
࡟ຍ࠼࡚ࠊTMP ࡢ methyl ᇶࢆ 2,2,2-trifluoroethyl ࡛⨨᥮ࡋࡓ 2,2,2-trifluoroethyl dimethyl
phosphate (TFE-DM),bis(2,2,2-trifluoroethyl)methyl phosphate (TFE-M)ࠊtris(2,2,2-trifluoroethyl)
phosphate(TFE)ࢆㄪ࡭ࡓࠋࡇࢀࡽῧຍ๣ࢆ EC-DEC ࡟ 20㸣ῧຍࡋࡓࠋ
TMPࡣECࡼࡾࡶLi+࡟ᙉࡃ⁐፹࿴ࡋࠊPCࡢሙྜ࡜ྠᵝ࡟⁐፹࿴ࡋࡓ≧ែ࡛㯮㖄࡟ඹᤄධࡋ࡚ࢢ
ࣛࣇ࢙ࣥᒙࡢ๤㞳ࡀ㐍⾜ࡍࡿࠋ୍᪉ࠊTEPࡣLi+࡟⁐፹࿴ࡋ࡟ࡃࡃࠊEC-DEC-TEPࡢ⣔࡛ࡣLi+ࡢ
ᤄධ⬺㞳ࡀ㐍⾜ࡍࡿࠋࡋ࠿ࡋࠊTEPࢆῧຍࡍࡿࡇ࡜࡟ࡼࡗ࡚ึᮇ୙ྍ㏫ᐜ㔞ࡀቑຍࡍࡿࠋࡇࢀࡣ
ࣜࣥ㓟࢚ࢫࢸࣝࡢ᪉ࡀ࣮࢝࣎ࢿ࣮ࢺ⣔ࡼࡾࡶ㑏ඖ࡟ᑐࡋ࡚୙Ᏻᐃ࡛࠶ࡿࡇ࡜࡟ࡼࡿ࡜⪃࠼ࡽࢀࡿࠋ
ከࡃࡢ᭷ᶵῧຍ≀࡛ῧຍ≀࡟ࣇࢵ⣲ᇶࢆᑟධࡍࡿ࡜୙ྍ㏫ᐜ㔞ࡀῶᑡࡍࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿࠋ
୍⯡࡟ࠊ㟁Ꮚ྾ᘬᛶࡢᙉ࠸ࣇࢵ⣲ᇶࡢᑟධ࡟ࡼࡗ࡚᭷ᶵ≀ࡢ㑏ඖ㟁఩ࡣ㧗ࡃ࡞ࡿࡀࠊ㑏ඖศゎ࡟
ࡼࡗ࡚⏕ᡂࡋࡓྵࣇࢵ⣲୰㛫యࡀ㯮㖄ୖࡢᏳᐃ໬⿕⭷(SEI)ࡢ⏕ᡂ࡟ᐤ୚ࡋࠊ᭷ᶵ≀ࡢ㑏ඖ࡟ᑐࡍ
ࡿ୙ാែ໬ࢆಁ㐍ࡍࡿࡓࡵ࡜⪃࠼࡚࠸ࡿࠋ
TMPࡢmethylᇶࢆ1ಶ2,2,2-trifluoroethylᇶ࡟⨨᥮ࡋࡓTFE-DMࡸ2ಶ⨨᥮ࡋࡓTFE-M࡛ࡣ
TMPῧຍࡢሙྜࡼࡾࡶ୙ྍ㏫ᐜ㔞ࡀ኱ࡁࡃ࡞ࡗࡓࠋࡍ࡭࡚ࡢmethylᇶࢆ⨨᥮ࡋࡓTFEP࡛ࡣ↓ῧ
ຍࡢሙྜ࡟ẚ࡭ࡿ࡜10㸣⛬ᗘ࡯࡝୙ྍ㏫ᐜ㔞ࡀ኱ࡁࡃ࡞ࡿ⛬ᗘ࡟࡜࡝ࡲࡿࠋ
ࡇࢀࡽࡢ2,2,2-trifluoroethyl⨨᥮ࣜࣥ㓟࣓ࢳ࢚ࣝࢫࢸࣝࡢLi+࢖࢜ࣥ࡜ࡢ┦஫స⏝ࠊࡍ࡞ࢃࡕࠊ
Li+࡬ࡢ⁐፹࿴ࡢ┦ᑐⓗᙉࡉࢆRamanᩓ஘࡟ࡼࡗ࡚ㄪ࡭ࡿ࡜ḟࡢࡼ࠺࡟࡞ࡗࡓࠋ
TMP > TFE-DM > TFE-M > TFE
TFE࡛ࡣECࡼࡾࡶLi+࡟ᑐࡍࡿ㓄఩⬟ຊࡀప࠸ࠋࡇࢀࡣTMPࡢmethylᇶ࡟㟁Ꮚ྾ᘬᛶࡢ㧗࠸
trifluoromethylᇶࢆᑟධࡍࡿࡇ࡜࡟ࡼࡗ࡚ࣜࣥ㓟࢚ࢫࢸࣝࡢOࡢ㟁Ꮚᐦᗘࡀῶᑡࡋࠊdonorᩘࡀῶ
ᑡࡍࡿࡇ࡜ࡀཎᅉ࡜࡞ࡗ࡚࠸ࡿ࡜᥎ᐃࡉࢀࡿࠋࡋ࠿ࡋࠊ2,2,2-trifluoroethylᇶࡢᔞ㧗ࡉࡀ❧య㞀
ᐖ࡟࡞ࡿࡇ࡜ࡶྰᐃ࡛ࡁ࡞࠸ࠋࡇࢀࡽࡢゎ᫂ࡣ௒ᚋࡢㄢ㢟࡛࠶ࡿࠋ
୍᪉ࠊࣇࢵ⣲ᇶࡢᑟධࡣ୍⯡࡟ࡣ᭷ᶵ≀ࢆ㑏ඖࡉࢀࡸࡍࡃࡍࡿࡀࠊୖ㏙ࡢࡼ࠺࡟ࠊከࡃࡢࣇࢵ
⣲໬᭷ᶵ≀ࡀSEIࡢ⏕ᡂ࡟᭷ຠ࡛࠶ࡿࡢ࡜ྠࡌຠᯝ࡟ࡼࡾࠊࣇࢵ⣲໬ࣜࣥ㓟࢚ࢫࢸ࡛ࣝࡶᑡ࡞࠸
୙ྍ㏫ᐜ㔞࡛୙ാែ⿕⭷(SEI)ࡀ㧗࠸㟁఩࡛⣲᪩ࡃ⏕ᡂࡍࡿࡶࡢ࡜᥎ᐃࡉࢀࡿࠋ
TFE࡜TMPࡢ㞴⇞໬࡬ࡢᐤ୚࡟ࡘ࠸࡚ࡣ௒ᚋ᫂ࡽ࠿࡟ࡋ࡞ࡅࢀࡤ࡞ࡽ࡞࠸ࡀࠊࣇࢵ⣲໬ࠊ≉࡟
trifluoromethyl໬ࠊࡣ⪏⇕ᛶࢆྥୖࡉࡏࡿሙྜࡀከ࠸ࡢ࡛ࠊTFE࡛ࡶ㞴⇞໬ຠᯝࡀᮇᚅࡉࢀࡿࠋ
௨ୖࡢࡼ࠺࡟ࠊtris(2,2,2-trifluoroethyl)phosphateࢆEC-DECࡢ⣔࡟ῧຍࡍࡿࡇ࡜࡟ࡼࡗ࡚୙
ྍ㏫ᐜ㔞ࢆ኱ࡁࡃቑ኱ࡍࡿࡇ࡜࡞ࡃLIB㟁ゎᾮࡢ㞴⇞໬ࡍࡿྍ⬟ᛶࢆぢࡔࡋࡓࠋࡇࡢࣇࢵ⣲໬ࡉ
− 63 −
ࢀࡓ᭷ᶵ≀ࡀ㯮㖄ࡢ⾲㠃࡟Ᏻᐃ࡞⿕⭷ࢆ⏕ᡂࡉࡏࡿ࡜࠸࠺⤖ᯝࡣ⇞ᩱ㟁ụ✵ẼᴟࡢⅣ⣲ᢸయࡢ⾲
㠃Ᏻᐃ໬࡜ࣇࢵ⣲໬࡟ࡼࡿ␯Ỉᛶไᚚࡢྍ⬟ᛶࢆ♧ࡍࡶࡢ࡛࠶ࡾࠊ࢔ࣝ࢝ࣜᛶ㟁ゎᾮࢆ⏝࠸ࡿ⇞
ᩱ㟁ụࡢ✵Ẽᴟ୕┦⏺㠃ࡢᙧᡂ࡜Ᏻᐃ໬ࢆ┠ᣦࡋࡓ୍ࡘࡢ᪉ྥࢆ♧ࡍࡶࡢ࡛࠶ࡿࠋ
㸱㸬ᡂᯝࡢබ⾲
ཱྀ㢌Ⓨ⾲
Invited Lecture,At Daegu Geonbuk Institute of Science and Technology(2014 ᖺ 10 ᭶ 30 ᪥)
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 26 ᪥
− 64 −
6L& ⤖ᬗࡢ࢟ࣕࣜࣖᑑ࿨ホ౯࡜෌⤖ྜ㐣⛬ࡢゎᯒ
6L& ⤖ᬗࡢ࢟ࣕࣜࣖᑑ࿨ホ౯࡜෌⤖ྜ㐣⛬ࡢゎᯒ
6L& ⤖ᬗࡢ࢟ࣕࣜࣖᑑ࿨ホ౯࡜෌⤖ྜ㐣⛬ࡢゎᯒ
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
ᮌᮏᜏᬸᩍᤵ
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
ᮌᮏᜏᬸᩍᤵ
ᮌᮏᜏᬸᩍᤵ
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
㸯㸬┠ⓗ
SiC㸦Ⅳ໬⌛⣲㸧ࡣࠊ㟁ຊ⏝࡟⏝࠸ࡽࢀࡿ㧗⪏ᅽ࣭పᦆኻࣃ࣮࣡ࢹࣂ࢖ࢫ࡟᭷ᮃ࡞༙ᑟయ࡛࠶
ࡿࠋ≉࡟ኚ㟁ࡸ㟁ຊ⣔⤫ไᚚ࡟⏝࠸ࡽࢀࡿ 10kV ㉸⣭ࡢࢫ࢖ࢵࢳࣥࢢࢹࣂ࢖ࢫࡸࢲ࢖࣮࢜ࢻࢆస
〇ࡍࡿࡓࡵ࡟ࡣࠊᑡᩘ࢟ࣕࣜࣖὀධ࡟ࡼࡿఏᑟᗘኚㄪຠᯝࢆ⏝࠸ࡿࣂ࢖࣏࣮ࣛࢹࣂ࢖ࢫࡀపᦆኻ
໬ࡢほⅬ࡛㨩ຊⓗ࡛࠶ࡿࠋࡇࡢࡼ࠺࡞ࣂ࢖࣏࣮ࣛᆺࣃ࣮࣡ࢹࣂ࢖ࢫࡢᛶ⬟ࢆᨭ㓄ࡍࡿࡢࡣ༙ᑟయ
୰ࡢ࢟ࣕࣜࣖᑑ࿨࡛࠶ࡿࠋSiC ࡣ㛫᥋㑄⛣ᆺࡢࣂࣥࢻᵓ㐀ࢆ᭷ࡋ࡚࠾ࡾࠊᮏ㉁ⓗ࡟㛗࠸࢟ࣕࣜࣖ
ᑑ࿨ࡀᮇᚅࡉࢀࡿࡀࠊᐇ㝿ࡢ⤖ᬗ࡛ࡣ࢟ࣕࣜࣖᑑ࿨ࡀ 1Ǎs ⛬ᗘ࡟␃ࡲࡗ࡚࠾ࡾࠊࡑࡢཎᅉࡢゎ
᫂࡜࢟ࣕࣜࣖᑑ࿨ྥୖࡢᣦ㔪ࢆᥦ♧ࡍࡿࡇ࡜ࢆᮏ◊✲ࡢ┠ⓗ࡜ࡍࡿࠋ
㸰㸬ᡂᯝ
᫖ᖺᗘࡲ࡛ࡢ◊✲࡟ࡼࡾࠊSiC ࡢ⚗ไᖏᖜ୰ࡢఏᑟᖏᗏ(EC)࠿ࡽ 0.65 eV ࡢ࢚ࢿࣝࢠ࣮࡟Ꮡᅾ
ࡍࡿ῝࠸‽఩(Z1/2 ࢭࣥࢱ࣮) ࡀࠊn ᆺ SiC ࡟࠾ࡅࡿ୺せ࡞࢟ࣕࣜࣖᑑ࿨ไ㝈Ḟ㝗࡛࠶ࡿࡇ࡜ࠊ࠾
ࡼࡧࡇࡢḞ㝗ࢆ⇕㓟໬࡟ࡼࡾ኱ᖜ࡟పῶ࡛ࡁࡿࡇ࡜ࢆ᫂ࡽ࠿࡟ࡋࡓࠋ௒ᖺᗘࡣࠊࡇࡢ῝࠸‽఩ࡢ
㉳※ࢆゎ᫂ࡍࡿ◊✲࡟ྲྀࡾ⤌ࢇࡔࠋ
SiC ࡢ࢟ࣕࣜ࢔ᑑ࿨ไ㝈Ḟ㝗࡛࠶ࡿ Z1/2 ࢭࣥࢱ࣮ࡣࠊᡂ㛗ࡋࡓ඲࡚ࡢ SiC ⤖ᬗ࡛ほ ࡉࢀࠊ
࢖࢜ࣥὀධࡸ㟁Ꮚ⥺↷ᑕ࡟ࡼࡗ࡚ࡑࡢᐦᗘࡀⴭࡋࡃቑ኱ࡍࡿࡇ࡜ࠊC 㐣๫ࡢ᮲௳࡛ᡂ㛗ࡍࡿ࡜ࡑ
ࡢḞ㝗ᐦᗘࡀῶᑡࡍࡿࡇ࡜➼ࡢᐇ㦂஦ᐇ࠿ࡽࠊⅣ⣲✵Ꮝࢆྵࡴఱࡽ࠿ࡢⅬḞ㝗࡛ࡣ࡞࠸࠿࡜࠸࠺
᥎ ࡀࡉࢀ࡚ࡁࡓ㸦᭱ึ࡟ᐇ㦂ࢹ࣮ࢱࢆᥦ♧ࡋ࡚ᥦ᱌ࡋࡓࡢࡣᙜࢢ࣮ࣝࣉ㸧ࠋ
ࡑࡇ࡛ࠊZ1/2 ࢭࣥࢱ࣮ᐦᗘ࡜Ⅳ⣲✵Ꮝࡢᐦᗘࢆẚ㍑ࡍࡿᐇ㦂࡟ྲྀࡾ⤌ࢇࡔࠋZ1/2 ࢭࣥࢱ࣮ᐦᗘ
ࢆṇ☜࡟ ᐃࡍࡿࡓࡵ࡟ࠊ᥋ྜᐜ㔞ࡢ㐣Ώゎᯒ࠿ࡽḞ㝗᝟ሗࢆᚓࡿ DLTS ᐃࢆ⾜ࡗࡓࠋࡲࡓࠊ
Ḟ㝗࡟Ꮡᅾࡍࡿ୙ᑐ㟁Ꮚࡢᛶ㉁࡜ᑐ⛠ᛶࢆㄪ࡭ࡿࡓࡵ࡟㟁Ꮚࢫࣆࣥඹ㬆(EPR) ᐃࢆ⾜ࡗࡓࠋࡇ
ࡇ࡛㔜せ࡞ࡇ࡜ࡣࠊDLTS ᐃ࡜ EPR ᐃࢆྠ୍ࡢヨᩱ࡟ᑐࡋ࡚⾜࠺ࡇ࡜࡛࠶ࡿࠋ୍⯡࡟ࠊ
DLTS ᐃࡣప࠸Ḟ㝗ᐦᗘࢆ᭷ࡍࡿヨᩱ࡟㐺ࡋ࡚࠾ࡾࠊEPR ᐃࡣ㠀ᖖ࡟㧗ᐦᗘࡢḞ㝗ࢆྵࡴ
ヨᩱ࡟㐺ࡋࡓศᯒἲ࡛࠶ࡿࡇ࡜ࢆ⪃៖ࡋ࡚ࠊពᅗⓗ࡞୙⣧≀ࢻ࣮ࣆࣥࢢ࡜㟁Ꮚ⥺↷ᑕࢆά⏝ࡋ࡚ࠊ
㧗ࢻ࣮ࣆࣥࢢᐦᗘ࡛࠿ࡘ㧗࠸Ḟ㝗ᐦᗘࢆ᭷ࡍࡿヨᩱࢆ」ᩘ‽ഛࡋࡓࠋࡲࡓࠊୗᆅᇶᯈ࠿ࡽࡢಙྕ
ࢆ᤼㝖ࡍࡿࡓࡵ࡟ࠊཌ⭷࢚ࣆᡂ㛗ࢆ⾜࠸ࠊᇶᯈࢆ◊☻࡟ࡼࡾ㝖ཤࡋࡓ⮬❧⭷ࢆ‽ഛࡋࡓࠋࡉࡽ࡟ࠊ
Ḟ㝗ᐦᗘࡢ 100Ǎm ௨ୖ࡟ரࡿ῝ࡉศᕸࡢ⢭ᐦ ᐃࠊnegative-U ࡜࿧ࡤࢀࡿḞ㝗ࡢ≉Ṧᛶࢆゎ
Ỵࡍࡿࡓࡵ࡟ప ࠊග↷ᑕୗ࡛ EPR ᐃࢆ⾜࠺࡜࠸࠺ᅔ㞴࡟ᣮࢇࡔࠋ
ᅗ㸯࡟᭱ࡶ኱ࡁ࡞ಙྕᙉᗘࢆ♧ࡋࡓ EPR ࢫ࣌ࢡࢺࣝࡢ౛ࢆ♧ࡍࠋࡑࡢ g ್ࡸᑐ⛠ᛶ࠿ࡽࠊࡇ
ࡢಙྕࡣⅣ⣲✵Ꮝ(Vc)࠿ࡽࡢಙྕ࡛࠶ࡿࡇ࡜ࡀศ࠿ࡗࡓࠋḟ࡟ࠊEPR ᐃ࠿ࡽᚓࡽࢀࡓⅣ⣲✵
− 65 −
Ꮝࡢࢫࣆࣥᐦᗘ࡜ DLTS ᐃ࠿ࡽᚓࡽࢀࡓ Z ࢭࣥࢱ࣮ᐦᗘࡢ┦㛵ࢆᅗ㸰࡟♧ࡍࠋࢻ࣮ࣆࣥࢢᐦ
ᗘࡸḞ㝗ᐦᗘࡢ␗࡞ࡿ 12 ✀㢮ࡢヨᩱ඲࡚࡟ᑐࡋ࡚ࠊ࡯ࡰ Vc ᐦᗘ࡜ Z1/2 ࢭࣥࢱ࣮ᐦᗘࡀ୍⮴ࡋ
࡚࠸ࡿࡇ࡜ࡀศ࠿ࡗࡓࠋEPRࠊDLTS ᐃ࡟࠾࠸࡚ࠊ௚࡟ྠࡌ᱆࡛ᏑᅾࡍࡿḞ㝗ࡣ࡞࠸ࡇ࡜ࡶ
☜ㄆࡋࡓࠋ௨ୖࡢ⤖ᯝࠊSiC ࡟࠾ࡅࡿ࢟ࣕࣜ࢔ᑑ࿨ไ㝈Ḟ㝗࡛࠶ࡿ Z1/2 ࢭࣥࢱ࣮ࡢ㉳※ࡀⅣ⣲✵
Ꮝ࡛࠶ࡿࡇ࡜ࢆ᫂☜࡟ྠᐃࡋࡓࠋ
᫖ᖺᗘࡢሗ࿌᭩࡛グ㍕ࡋࡓ⇕㓟໬࡟ࡼࡿ Z1/2 ࢭࣥࢱ࣮ࡢపῶ࡜࢟ࣕࣜ࢔ᑑ࿨ࡢ኱ᖜ࡞ྥୖࡣࠊ
SiC ⇕㓟໬᫬࡟୙せ࡜࡞ࡗࡓⅣ⣲ཎᏊࡢ୍㒊ࡀ SiC ࣂࣝࢡ⤖ᬗ୰࡟ᣑᩓࡋࠊⅣ⣲✵Ꮝ㸦Z1/2 ࢭࣥ
ࢱ࣮㸧ࢆ⾲㠃࠿ࡽ㡰ḟᾘ⁛ࡉࡏࡓ࡜⌮ゎࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋ
[VC –]A measured by EPR (cm -2)
1015
(A) 1.8×10 16 cm-3
(B) 3.8×10 16 cm-3
(C) 1.1×10 17 cm-3
1014
[VC–]A = [VC–]MAX
1013 13
10
1014
1015
[VC–]MAX determined from [Z1/2]V profile (cm-2)
ᅗ㸯 Ⅳ⣲✵Ꮝࡢ EPR ࢫ࣌ࢡࢺࣝࡢ౛
ᅗ㸰 Ⅳ⣲✵Ꮝᐦᗘ(EPR)࡜ Z ࢭࣥࢱ࣮ᐦᗘ(DLTS)ࡢ┦㛵
㸱㸬ᡂᯝࡢබ⾲
(1)K.Kawahara,X.T.Trinh,N.T.Son,E.Janzen,J.Suda,
and
T.Kimoto 㸹 Quantitative
comparison between Z1/2 center and carbon vacancy in 4H-SiC,J.Appl.Phys.,115,143705/1-6
(2014).
(2)T.Okuda, T.Miyazawa, H.Tsuchida, T.Kimoto,and J.Suda㸹Enhancement of carrier lifetime in
lightly Al-doped p-type 4H-SiC epitaxial layers by combination of thermal oxidation and hydrogen
annealing, Appl.Phys.Express 7,085501/1-3 (2014).
(3)T.Kimoto㸹Material science and device physics in SiC technology for high-voltage power
devices(Invited Review Paper),Jpn.J.Appl.Phys.54, 040103/1-27 (2015).
(4)T.Kimoto,K.Kawahara,H.Niwa,N.Kaji,and J.Suda㸹Ion implantation technology in SiC
for power device applications(Plenary), Tech.Digest of IEEE 14th Int. Workshop on Junction
Technology (Shanghai,2014), p.1-6.
(5)T.Kimoto, H.Niwa, T.Okuda, N.Kaji, and J.Suda㸹Progress and future challenges in SiC
material for high-voltage power devices (Invited), American Vacuum Society 62th Int.
Symp.(Baltimore,2014),S8-2.
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 3 ᭶ 27 ᪥
− 66 −
ᾮయỈ⣲ᐜჾෆࡢྍど໬ࢩࢫࢸ࣒㛤Ⓨ
ி㒔኱Ꮫ኱Ꮫ㝔࢚ࢿࣝࢠ࣮⛉Ꮫ◊✲⛉
ⓑ஭ᗣஅᩍᤵ
ཷクඛྡ㸸ᰴᘧ఍♫ࢪ࢙ࢵࢡᮾ⌮♫
㸯㸬┠ⓗ
ᐦ㛢ᐜჾෆ࡛ᾮయỈ⣲෭༷ࡋࡓ㉸㟁ᑟᮦᩱࡢࠊ㐣㟁ὶ㏻㟁᫬ࡢἛ㦐⌧㇟࡞࡝ࢆ࢜ࣥࣛ࢖࡛ࣥྍ
ど໬ࡍࡿࡓࡵࡢࢩࢫࢸ࣒ࢆ㛤Ⓨࡍࡿࠋ
㸰㸬ᡂᯝ
(1) ࡣࡌࡵ࡟
᪂ࡓ࡟ᑟධࡍࡿࠕྍど໬ᢏ⾡ࠖ࡜ࡇࢀࡲ࡛ࡢࠕ⇕ఏ㐩ᐇ㦂ィ ᢏ⾡ࠖࢆే⏝ࡋ࡚ࠊᾮయỈ⣲ࡢ
Ἓ㦐⌧㇟ࢆゎ᫂ࡋࠊᾮయ෭༷㧗 ㉸㟁ᑟᑟయࡢᛶ⬟ࢆ༑ศⓎ᥹࡛ࡁࡿ᭱㐺࡞෭༷ᢏ⾡ࢆ☜❧ࡍࡿ
ࡓࡵ࡟ࠊ㧗ᅽ࣭ᴟప ⎔ቃୗ࡛౑⏝࡛ࡁࡿࠕྍど໬ᢏ⾡ࠖࢆ㛤Ⓨࡋࡓࠋ
(2) ྍど໬ᢏ⾡ࡢ㛤Ⓨ
ᅗ㸯࡟ࠊ᪤ᏑࡢᾮయỈ⣲ᐇ㦂⿦⨨ࡢᴫせᅗࢆ♧ࡍࠋᮏᐇ㦂⿦⨨ࡣࠊᴟప ࡢᾮయỈ⣲ࢆಖ᭷ࡍ
ࡿࡓࡵࡢࢡࣛ࢖࢜ࢫࢱࢵࢺ㸦ෆᚄ 300mm㸧࡛࠶ࡾࠊᾮయỈ⣲ಖ᭷㔞ࡣ 60L ࡛࠶ࡿࠋ2.0MPaG
ࡢタィᅽຊࢆ᭷ࡋࠊ㧗ᅽ࢞ࢫಖᏳἲ࡟‽ᣐࡋ࡚〇సࠊ㐠⏝ࢆ⾜ࡗ࡚࠸ࡿࠋᾮయỈ⣲୰ࡢἛ㦐⌧㇟
ࢆゎ᫂ࡍࡿࡓࡵ࡟ࠊᅗ㸯࡟♧ࡍࡼ࠺࡞ࠊ㧗ᅽ࢞ࢫಖᏳἲ࡟‽ᣐࡋࡓගࣇ࢓࢖ࣂ࣮࡟ࡼࡿྍど໬ࢩ
ࢫࢸ࣒ࢆ᪂ࡓ࡟㛤Ⓨࡋࡓࠋ⪃᱌ࡋࡓྍど໬⿦⨨࡛ࡣࠊࢡࣛ࢖࢜ࢫࢱࢵࢺእࡢᖖ ࠊᖖᅽ㒊㸦኱Ẽ
⎔ቃ㸧࡟࣓࡛࢝ࣛࠊࢡࣛ࢖࢜ࢫࢱࢵࢺෆ࡟タ⨨ࡋࡓගࣇ࢓࢖ࣂ࣮㸦1 ୓ᮏࢆ᮰ࡡࡓࣂࣥࢻࣝᆺ㸧
ࡢ⏬ീࢆ᧜ᙳࡍࡿࡓࡵ࡟ࠊཷᅽ㒊࡛࠶ࡿ⪏ᅽࣇࣛࣥࢪ㒊࡟⪏ᅽ࢞ࣛࢫ〇❆ࢆタ⨨ࡋࡓࠋࡇࡢ❆㒊
ࡣࠊཷᅽ㒊࡜࡞ࡿࡀࠊᾮయỈ⣲ࡢᾮ㠃࠿ࡽ⣙ 1500mm 㞳ࢀ࡚࠾ࡾࠊ࡯ࡰᖖ ࡟ಖᣢࡉࢀࡿࠋࡑ
ࡢࡓࡵࠊ㧗ᅽ࢞ࢫಖᏳἲ࡟‽ᣐࡋࡓ࢞ࣛࢫᮦࢆ㑅ᢥ࡛ࡁࡓࠋ
ගࣇ࢓࢖ࣂ࣮ࡢప 㡿ᇦ࡛ࡢᛶ⬟ຎ໬ࢆホ౯ࡍࡿࡓࡵ࡟ࠊ஦๓࡟ࠊᾮయ❅⣲࡟ᾐࡋ࡚ࡳࡓࡀࠊ
⏬ീࡢຎ໬ࡀ࡞࠸ࡇ࡜ࡀ☜ㄆ࡛ࡁࡓࡓࡵࠊᾮయỈ⣲୰࡛ࡶ㐺⏝ࢆヨࡳࡓࠋ
ྍど໬⏝࢞ࣛࢫタ⨨㒊࠿ࡽ౪ヨయ㒊ࡲ࡛ࡣᑐὶ㜵Ṇᯈ➼ᵓ㐀≀ࡀከᩘ࠶ࡿࡓࡵࠊගࣇ࢓࢖ࣂ࣮
ࢆಖㆤࡍࡿࡓࡵ࡟ࠊSUS 〇ࡢࣇࣞ࢟⟶࡟ࡼࡿ࢞࢖ࢻࢆタࡅࡓࠋ
ග※࡟ࡣࠊࢳࢵࣉᆺ LED ࢆ౑⏝ࡋࡓࠋࡋ࠿ࡋࠊLED ࡣ ᗘࡀపࡃ࡞ࡿ࡜㍤ᗘࡀపୗࡍࡿࡓࡵࠊ
LED ⣲Ꮚࡣࠊࢡࣛ࢖࢜ࢫࢱࢵࢺෆୖ㒊ࡢᖖ ௜㏆ࡢ⎔ቃୗ࡟タ⨨ࡋࠊSUS ࣇࣞ࢟࢞࢖ࢻෆࢆタ
ࡅࡓගࣇ࢓࢖ࣂ࣮࡟ࡼࡾᾮయỈ⣲ෆ࡟ග※ࢆᑟධࡍࡿࡇ࡜࡟ࡋࡓࠋ᮶ᖺᗘ࡟ࡣࠊ௒ᖺᗘ㛤Ⓨࡋࡓ
ྍど໬ࢩࢫࢸ࣒ࡢヨ㦂ࢆᐇ᪋ணᐃ࡛࠶ࡿࠋ
− 67 −
ਗ਼૴জ‫ॻش‬
‫عق‬$
ੵ঵৷ढ़ওছ
ິಓफ़ছ५
আথॺ৹ත৖
લஶफ़ছ५ଲफ़ছ५ই॓ॖং‫ش‬
ংথॻঝ஑‫ؚ‬ਐম൶‫؞‬ਐ઺ಞ
/+H
+ଣল
/('ಞ৕
ਗ਼૴জ‫ॻش‬
‫عق‬$
୾଑ো৷୾ই॓ॖং‫ش‬
2422
ઌ૬ಽ
1625
த஫଑ঐॢॿॵॺ
୹૥৬
LHe
φ309
φ766
ᅗ 1 ᾮయỈ⣲ࢡࣛ࢖࢜ࢫࢱࢵࢺ࡜ྍど໬ࢩࢫࢸ࣒
㸱㸬ᡂᯝࡢබ⾲
(1) Yuki Horie,Yasuyuki Shirai,et.al.; Film boiling heat transfer properties of liquid hydrogen in
natural convection,Proceedings of ICEC25-ICMC2014
(2) ᇼỤ⿱㍤ࠊᯇ⃝ᓫஅࠊ⡿⏣ஓࠊሷὠṇ༤ࠊⓑ஭ᗣஅ௚㸹⮬↛ᑐὶ࡟࠾ࡅࡿᾮయỈ⣲⭷Ἓ㦐⇕ఏ㐩
≉ᛶࠊ3D-a06ࠊ➨ 89 ᅇప ᕤᏛ࣭㉸㟁ᑟᏛ఍(2014 ᖺ᫓Ꮨ)
(3) ᯇ⃝ᓫஅࠊᇼỤ⿱㍤ࠊ⡿⏣࿴ஓࠊ኱ᾆὒ♸ࠊⓑ஭ᗣஅࠊሷὠṇ༤ࠊ⏿ᖾ୍௚㸹ᾮయỈ⣲෭༷ MgB2
⥺ᮦࡢ☢ሙୗ࡟࠾ࡅࡿ㐣㟁ὶ≉ᛶࠊ3D-p06ࠊ➨ 89 ᅇప ᕤᏛ࣭㉸㟁ᑟᏛ఍㸦2014 ᖺ᫓Ꮨ㸧
(4) ⱱ⏣ᏹᶞࠊᇼỤ⿱㍤ࠊᯇ⃝ᓫஅࠊ⡿⏣࿴ஓࠊⓑ஭ᗣஅࠊሷὠṇ༤௚㸹ᣑᩓἲ࡛స〇ࡋࡓ MgB2 ⥺
ᮦࡢᾮయỈ⣲෭༷ୗ࡟࠾ࡅࡿ⮫⏺㟁ὶ≉ᛶࠊ2C-a03ࠊ➨ 90 ᅇప ᕤᏛ࣭㉸㟁ᑟᏛ఍(2014 ᖺ⛅Ꮨ)
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 4 ᭶ 13 ᪥
− 68 −
㟁ຊ⣔⤫ࡢศᩓไᚚ࡟㛵ࡍࡿᇶ♏◊✲
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
ⴗཎ᭸㐨ᩍᤵ
㸯㸬┠ⓗ
㏆ᖺࠊኴ㝧ගⓎ㟁ࡸ㢼ຊⓎ㟁࡟௦⾲ࡉࢀࡿ෌⏕ྍ⬟࢚ࢿࣝࢠ࣮ࡢ㟁ຊ⣔⤫࡬ࡢ኱㔞ᑟධࡀ࢚
ࢿࣝࢠ࣮ၥ㢟ゎỴࡢࡓࡵࡢ⌧ᐇⓗ࡞᪉⟇ࡢ୍ࡘ࡜ࡋ᳨࡚ウࡉࢀ࡚࠸ࡿࠋ኱つᶍ໬ࠊከᵝ໬ࡍࡿ㟁
ຊ⣔⤫ࡢ㐠⏝࣭ไᚚࢆ⾜࠺ୖ࡛ࡣศᩓⓗ࡞ฎ⌮ࡀ୙ྍḞ࡛࠶ࡾࠊࡇࡢࡼ࠺࡞⫼ᬒࡢࡶ࡜࡛㟁ຊ⣔
⤫ࡢศᩓไᚚ࡟㛵ࡍࡿ◊✲ࡢ㔜せᛶࡀ෌ㄆ㆑ࡉࢀ࡚࠸ࡿࠋࡋ࠿ࡋ࡞ࡀࡽࠊᯤῬᛶ࢚ࢿࣝࢠ࣮࡜෌
⏕ྍ⬟࢚ࢿࣝࢠ࣮ࡀΰᅾࡍࡿ㟁ຊ⣔⤫ࡢศᩓไᚚࢆᐇ⌧ࡍࡿࡓࡵࡢࠊ⣔⤫ࡢࣔࢹࣝ໬࡜ไᚚ࡟㛵
ࡍࡿᇶ♏ⓗ◊✲ࡣᮍࡔ୙༑ศ࡛࠶ࡿࠋᮏ◊✲࡛ࡣࠊ㟁ຊ⣔⤫ࡢศᩓไᚚࡢࡓࡵࡢ♏࡜ࡋ࡚ࠊ」ᩘ
ࡢ㠀㈇ࡢࢧࣈࢩࢫࢸ࣒ࡀ⤖ྜࡍࡿࡇ࡜࡛ᙧᡂࡉࢀࡿ኱つᶍ⤖ྜࢩࢫࢸ࣒ࡢゎᯒࠊタィᡭἲ࡟㛵ࡍ
ࡿ⌮ㄽᵓ⠏ࢆ┠ⓗ࡜ࡍࡿࠋ
㸰㸬ᡂᯝ
㠀㈇ࢩࢫࢸ࣒࡜ࡣࠊධຊ࡜ึᮇ≧ែࡀ㠀㈇࡛࠶ࢀࡤ≧ែ࡜ฟຊࡀᖖ࡟㠀㈇࡜࡞ࡿືⓗࢩࢫࢸ
࣒࡛࠶ࡿࠋࡇࡢࡼ࠺࡞㠀㈇ᛶࡣࠊ࢚ࢿࣝࢠ࣮ࡸ⃰ᗘ࡜࠸ࡗࡓ“㈇ࡢ್ࢆྲྀࡾᚓ࡞࠸㔞”ࡢ㛵ࢃࡿࢲ
࢖ࢼ࣑ࢡࢫ࡟࠾࠸࡚ᬑ㐢ⓗ࡟⌧ࢀࡿࡶࡢ࡛࠶ࡾࠊ㠀㈇ࢩࢫࢸ࣒⌮ㄽࡣ⤒῭Ꮫࡸ♫఍ࢩࢫࢸ࣒ᕤᏛࠊ
⏕≀Ꮫ࡜࠸ࡗࡓከᙬ࡞ศ㔝࡛㔜せ࡞◊✲ᑐ㇟࡜࡞ࡗ࡚࠸ࡿࠋࡲࡓࠊᅜእࡢඛ㥑ⓗ◊✲࡟࠾࠸࡚ࡣࠊ
㠀㈇ࢩࢫࢸ࣒⌮ㄽࢆ኱つᶍ㟁ຊ⣔⤫ࡢศᩓไᚚ࡟ᛂ⏝ࡍࡿヨࡳࡀ࠶ࡿࠋᮏ◊✲࡛ࡣࠊ኱つᶍ㟁ຊ
⣔⤫ࡢゎᯒࠊศᩓไᚚࢆᛕ㢌࡟⨨ࡁࡘࡘࠊࡑࡢᇶ♏◊✲࡜ࡋ࡚ࠊ」ᩘࡢ㠀㈇ࡢࢧࣈࢩࢫࢸ࣒ࡀ⤖
ྜࡍࡿࡇ࡜࡛ᵓᡂࡉࢀࡿ኱つᶍ⤖ྜ㠀㈇ࢩࢫࢸ࣒ࡢゎᯒ࡜タィ࡟ࡘ࠸࡚ㄽࡌࡓࠋࡲࡓࠊ⤖ྜ㠀㈇
ࢩࢫࢸ࣒ࡢゎᯒ࣭タィࡢᛂ⏝࡜ࡋ࡚ࠊ࣐ࣝࢳ࢚࣮ࢪ࢙ࣥࢺ㠀㈇ࢩࢫࢸ࣒ࡢࣇ࢛࣮࣓࣮ࢩࣙࣥไᚚ
࡟㛵ࡍࡿ◊✲ࢆ㐍ࡵࠊᏛ఍Ⓨ⾲ࢆ⾜ࡗࡓ㸦㸱㸬ᡂᯝࡢබ⾲ࡢ㡯┠ࡢㄽᩥ(1㸧ཧ↷)ࠋࣇ࢛࣮࣓࣮
ࢩࣙࣥไᚚࡢᇶᮏⓗ࡞⪃࠼᪉ࡣࠊ」ᩘࡢ࢚࣮ࢪ࢙ࣥࢺ࡟ᑐࡋ࡚ࢿࢵࢺ࣮࣡ࢡࢆ௓ࡋ࡚┦஫࡟఩⨨
᝟ሗࡢ஺᥮ࢆ⾜ࢃࡏࠊࡑࡢ᝟ሗ࡟ᇶ࡙ࡁྛ࢚࣮ࢪ࢙ࣥࢺ࡟ࡑࡢ఩⨨ࢆㄪᩚࡉࡏࡿࡇ࡜࡛ᡤᮃࡢࣇ
࢛࣮࣓࣮ࢩࣙࣥࢆᙧᡂࡍࡿ࡜࠸࠺ࡶࡢ࡛࠶ࡾࠊྠᵝࡢ⪃࠼᪉ࡣ኱つᶍ㟁ຊ⣔⤫ࡢศᩓⓗ࡞ไᚚ࡟
ᛂ⏝࡛ࡁࡿ࡜⪃࠼ࡽࢀࡿࠋᮏ◊✲࡟࠾࠸࡚ࡣࠊࢩࢫࢸ࣒ࡢ㠀㈇ᛶࢆ฼⏝ࡍࡿࡇ࡜࡛ࣟࣂࢫࢺ࡞ࣇ
࢛࣮࣓࣮ࢩࣙࣥไᚚ๎ࡀᑟฟ࡛ࡁࡿࡇ࡜࡞࡝ࢆࡲࡎ᫂ࡽ࠿࡟ࡋࡓࠋࡇࢀࡽࡢ◊✲ᡂᯝࢆࡶ࡜࡟ࠊ
ࡴࡔ᫬㛫ࢆ᭷ࡍࡿ㠀㈇ࢩࢫࢸ࣒ࡢゎᯒࠊ㏻ಙ㐜ᘏ㸦ࡍ࡞ࢃࡕࢧࣈࢩࢫࢸ࣒㛫ࡢ᝟ሗఏ㐩࡟㛵ࡍࡿ
ࡴࡔ᫬㛫㸧ࢆ᭷ࡍࡿ⤖ྜ㠀㈇ࢩࢫࢸ࣒ࡢゎᯒ࡜タィ࡟㛵ࡍࡿ◊✲ࢆ⾜ࡗࡓࠋ㟁ຊ⣔⤫࡟௦⾲ࡉࢀ
ࡿ኱つᶍ⤖ྜࢩࢫࢸ࣒࡟࠾࠸࡚ࠊࢧࣈࢩࢫࢸ࣒㛫ࡢ᝟ሗ㏻ಙ࡟࠾ࡅࡿ㐜ᘏࡣ㸦ࡓ࡜࠼ࡑࢀࡀࢃࡎ
࠿࡛࠶ࡗ࡚ࡶ㸧୙ྍ㑊࡛࠶ࡾࠊࡋࡓࡀࡗ࡚㏻ಙ㐜ᘏࡀࢩࢫࢸ࣒ࡢᏳᐃᛶࡸไᚚᛶ⬟࡟࡝ࡢࡼ࠺࡞
ᙳ㡪ࢆཬࡰࡍ࠿ࢆゎᯒࡍࡿࡇ࡜ࡣ㔜せ࡛࠶ࡿࠋ ௨ୖࢆ㋃ࡲ࠼ࠊㄽᩥ(2)ࠊ(4)࡛ࡣࡴࡔ᫬㛫ࢆ᭷ࡍ
ࡿᏳᐃ࡞㠀㈇ࢩࢫࢸ࣒ࡢ཰᮰ᛶ࡟㛵ࡍࡿゎᯒࢆࠊㄽᩥ(3)ࠊ(6)࡛ࡣ㏻ಙ㐜ᘏࢆ᭷ࡍࡿ⤖ྜ㠀㈇ࢩ
− 69 −
ࢫࢸ࣒࡟ᑐࡍࡿࣇ࢛࣮࣓࣮ࢩࣙࣥᙧᡂ๎ࡢᑟฟ࡜཰᮰ᛶ࡟㛵ࡍࡿゎᯒࢆ⾜ࡗࡓࠋࡲࡓࠊࡇࢀࡽࡢ
⌮ㄽⓗ࡞ᡂᯝࡢᛂ⏝ࡢ୍ࡘ࡜ࡋ࡚ࠊㄽᩥ(5)࡛ࡣ㠀㈇ࢩࢫࢸ࣒⌮ㄽ࡟ᇶ࡙࠸ࡓ⮬ື㌴⩌ࡢ㌴㢌᫬
㛫ไᚚ࡟㛵ࡍࡿ᳨ウࢆ⾜࠸ࠊᏛ఍Ⓨ⾲ࢆ⾜ࡗࡓࠋ
௒ᚋࡣࡇࢀࡽࡢᡂᯝࢆࡶ࡜࡟ࠊ㟁ຊ⣔⤫ࡢศᩓไᚚ࡬ࡢ㠀㈇ࢩࢫࢸ࣒⌮ㄽࡢᛂ⏝ࢆ┠ᣦࡋࡓ
࠸ࠋࡲࡓࠊ᫖௒ࡢ࢚ࢿࣝࢠ࣮࣐ࢿ࣮ࢪ࣓ࣥࢺࡢືྥࢆ㋃ࡲ࠼ࠊBEMS ࡸ HEMS ࡟࠾ࡅࡿ㠀㈇ࢩ
ࢫࢸ࣒⌮ㄽࡢά⏝࡟㛵ࡍࡿ᳨ウࡶ㐍ࡵࡓ࠸ࠋ
㸱㸬ᡂᯝࡢබ⾲
(1)᪂㇂⩧࿃ࠊ⻆ཎ⩏㞝ࠊⴗཎ᭸㐨㸹࣐ࣝࢳ࢚࣮ࢪ࢙ࣥࢺ㠀㈇ࢩࢫࢸ࣒ࡢࣇ࢛࣮࣓࣮ࢩࣙࣥไᚚ
ୗ࡛ࡢᨭ㓄ᴟࡢຠ⋡ⓗィ⟬ἲࠊ➨ 58 ᅇࢩࢫࢸ࣒ไᚚ᝟ሗᏛ఍◊✲Ⓨ⾲ㅮ₇఍ㅮ₇ㄽᩥ㞟ࠊ6
pagesࠊ(2014)
(2)すᑿ┤ஓࠊ⻆ཎ⩏㞝ࠊⴗཎ᭸㐨㸹ࡴࡔ᫬㛫ࢆ᭷ࡍࡿ⥺ᙧ㠀㈇ࢩࢫࢸ࣒ࡢᨭ㓄ᴟゎᯒࠊ➨ 58 ᅇ
ࢩࢫࢸ࣒ไᚚ᝟ሗᏛ఍◊✲Ⓨ⾲ㅮ₇఍ㅮ₇ㄽᩥ㞟ࠊ5pagesࠊ(2014)
(3)ᮅẚዉ࿴ᕼࠊ⻆ཎ⩏㞝ࠊⴗཎ᭸㐨㸹㏻ಙ㐜ᘏࡢ࠶ࡿ⤖ྜ㠀㈇ࢩࢫࢸ࣒ࡢゎᯒࠊ➨ 58 ᅇࢩࢫࢸ
࣒ไᚚ᝟ሗᏛ఍◊✲Ⓨ⾲ㅮ₇఍ㅮ₇ㄽᩥ㞟ࠊ6pagesࠊ(2014)
(4)すᑿ┤ஓࠊ⻆ཎ⩏㞝ࠊⴗཎ᭸㐨㸹」ᩘࡢࡴࡔ᫬㛫ࢆ᭷ࡍࡿ⥺ᙧ㠀㈇ࢩࢫࢸ࣒ࡢᨭ㓄ᴟゎᯒࠊ
ࢩࢫࢸ࣒ไᚚ᝟ሗᏛ఍ㄽᩥㄅࠊVol.28ࠊNo.4ࠊpp.147-154ࠊ(2015)
(5)ᓥᮏᣅ࿴ࠊ⻆ཎ⩏㞝ࠊⴗཎ᭸㐨㸹㏻ಙ㐜ᘏࢆ᭷ࡍࡿ⤖ྜ㠀㈇ࢩࢫࢸ࣒ࡢゎᯒ࡜⛣ືయࡢࣇ࢛
࣮࣓࣮ࢩࣙࣥไᚚࠊィ ⮬ືไᚚᏛ఍㛵すᨭ㒊࣭ࢩࢫࢸ࣒ไᚚ᝟ሗᏛ఍ⱝᡭ◊✲Ⓨ⾲఍ㅮ₇ㄽ
ᩥ㞟ࠊpp.56–61ࠊ(2015)
(6)㧗ᶫㄔஓࠊ⻆ཎ⩏㞝ࠊⴗཎ᭸㐨㸹㏻ಙ㐜ᘏࢆ᭷ࡍࡿ࣐ࣝࢳ࢚࣮ࢪ࢙ࣥࢺ㠀㈇ࢩࢫࢸ࣒ࡢࣇ࢛
࣮࣓࣮ࢩࣙࣥไᚚ࡜཰᮰ᛶ⬟ゎᯒࠊ➨ 59 ᅇࢩࢫࢸ࣒ไᚚ᝟ሗᏛ఍◊✲Ⓨ⾲ㅮ₇఍ㅮ₇ㄽᩥࠊ
6pagesࠊ(2015ࠊⓎ⾲ணᐃ)
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 8 ᪥
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㟁ຊኚ᥮ᢏ⾡ࢆ㐺⏝ࡋࡓ
㟁ຊࢿࢵࢺ࣮࣡ࢡࡢᏳᐃᛶ࡟㛵ࡍࡿ◊✲
ி㒔኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
ᘬཎ㝯ኈᩍᤵ
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
㸯㸬┠ⓗ
㟁ຊࢿࢵࢺ࣮࣡ࢡࡢᏳᐃᛶ࡟㛵ࡍࡿᇶ♏᳨ウ࡟㈨ࡍࡿࡓࡵࠊ㟁ຊኚ᥮ᕤᏛ࡟ࡼࡿ㐠⏝ᢏ⾡ࡢྥୖ࡟ࡘ࠸
᳨࡚ウࠊホ౯ࢆ⾜࠺ࠋ
㸰㸬ᡂᯝ
ㅖእᅜ࡟࠾ࡅࡿ㟁ຊࢿࢵࢺ࣮࣡ࢡࢆྵࡴ㟁ຊࢩࢫࢸ࣒ᢏ⾡ࡢືྥ࡟ࡘ࠸࡚ࡢㄪᰝࢆ⾜࠸ࠊㅖእᅜࡢ㟁ຊ
ࢿࢵࢺ࣮࣡ࢡ࠾ࡼࡧࢩࢫࢸ࣒࡟࠾ࡅࡿᢏ⾡ືྥࢆᢏ⾡ࡢཎⅬ࡟㐳ࡗ࡚⢭ᰝࡋࠊᑗ᮶ᢏ⾡ࡢࢩ࣮ࢬࡢືྥࢆ
ㄪᰝࡋࡓࠋࡲࡓ㛵㐃ࡍࡿᢏ⾡࡟㛵ࡍࡿྍ⬟ᛶ࡟ࡘ࠸᳨࡚ウࢆ⾜ࡗࡓࠋ୺ࡔࡗࡓ⤖ᯝࡣ௨ୗࡢ࡜࠾ࡾ࡛࠶ࡿࠋ
ࡲࡎࠊ஺ὶ㟁ຊࡢ㟁※࡜㈇Ⲵࡢ⤯⦕࡟㛵ࡋ࡚ࠊ࣐ࢺࣜࢡࢫࢥࣥࣂ࣮ࢱࡢ᥋⥆࡟ࡼࡾࠊࣃ࣮࢚࣡ࣞࢡࢺࣟ
ࢽࢡࢫ࣭ࢺࣛࣥࢫࡢᐇ⌧ࡢྍ⬟ᛶࢆᐇ㦂ⓗ࡟᳨ウࡋࡓࠋࡑࡢ⤖ᯝࠊ㧗࿘Ἴࢫ࢖ࢵࢳࣥࢢ⣲Ꮚ࡛࠶ࡿ SiC ࡢ
㐺⏝࡟ࡼࡾࠊṍࡳࡢᑡ࡞࠸㟁ᅽኚ᥮ࡀྍ⬟࡛ࠊࡲࡓ⤯⦕ࡣ㧗࿘Ἴࢺࣛࣥࢫ࡛⥔ᣢ࡛ࡁࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋ
ࡇࡢᡂᯝࡣㄽᩥㄅ࡟බ㛤ࡋࡓࠋ
ḟ࡟ࠊ᪂ࡋ࠸㟁ຊࡢఏ㏦᪉ᘧ࡜ࡋ࡚ࠊ㟁ຊࢆࣃࢣࢵࢺ໬ࡍࡿ᪉ᘧࢆᥦ᱌ࡋ࡚࠸ࡿࠋᮏᡭἲ࡟㛵ࡋ࡚ࠊ⊂
❧㟁※⣔࡬ࡢᐇ⌧ࢆ๓ᥦ࡜ࡋ࡚ࠊࢿࢵࢺ࣮࣡ࢡ㐠⏝ࡢྍ⬟ᛶࢆᩘ್ⓗࠊᐇ㦂ⓗ࡟᳨ドࡋࡓࠋ
᭱ᚋ࡟ࠊ㟁ຊኚ᥮ᅇ㊰ࢆ୪ิ໬ࡍࡿሙྜ࡟ࡑࢀࡽࡢไᚚࢆ࡝ࡢࡼ࠺࡟ᐇ⌧ࡍࡿ࠿ࡀ㔜せ࡞ㄢ㢟࡜࡞ࡿࠋ
ᮏ◊✲࡛ࡣࠊཷືᛶ࡟ᇶ࡙ࡃไᚚ࡟ࡼࡾࠊศᩓ㓄⨨ࡉࢀࡓኚ᥮ᅇ㊰ࢆ୪ิ໬ࡋࠊ┦஫ࡀ⿵᏶ࡍࡿࡼ࠺ືస
ࡉࡏࡿࡇ࡜ࡀ࡛ࡁࡿࡇ࡜ࢆ☜ㄆࡋࡓࠋ
㸱㸬ᡂᯝࡢබ⾲
(1)Alexandros Kordonis and Takashi Hikihara;Dynamic model of direct matrix converter and its
experimental validation,Int.J.Circ.Theor.Appl.,Published online in Wiley Online Library (wileyonline
library.com). DOI: 10.1002/cta.2072(2015)
(2)R.Takahashi,K.Tashiro, and T.Hikihara;Router for Power Packet Distribution Network:Design and
Experimental Verification, IEEE Trans. on Smart Grid, Vol.6, No.2, pp.618-626 (2015)
(3)▼ཎᾈẎࠊᘬཎ㝯ኈࠊཷືᛶ࡟ᇶ࡙ࡃไᚚࢆ⏝࠸ࡓࢥࣥࣂ࣮ࢱ࣭࢖ࣥࣂ࣮ࢱᅇ㊰ࡢ୪ิ᥋⥆࡟㛵ࡍࡿ᳨
ウࠊSCI'14 212-2-7 (2014.5.22)
(4)すཎ኱ᬛࠊ㧗ᶫுࠊᘬཎ㝯ኈࠊ஺ὶ㟁ຊ࣮ࣝࢱࡢ୕┦஺ὶ࡬ࡢ㐺⏝ Ɇᵓᡂ࡜ືస࡟㛵ࡍࡿ᳨ウɆࠊ㟁Ẽ
㛵ಀᏛ఍㛵すᨭ㒊኱఍ G4-13 (2014.11.24)
− 71 −
(5)▼ཎᾈẎࠊᘬཎ㝯ኈࠊཷືᛶ࡟ᇶ࡙ࡃࢥࣥࣂ࣮ࢱ࣭࢖ࣥࣂ࣮ࢱ୪ิࢩࢫࢸ࣒ࡢ≧ែᏳᐃ໬࡟㛵ࡍࡿ᳨୍
ウࠊNLP2014-139ࠊࢥࣥࣃ࣮ࣝ࣍ࣝ (2015.1.27)
(6)బẁ⏣⿱ᖹࠊᘬཎ㝯ኈࠊ୪ิ᥋⥆ࡉࢀࡓࢥࣥࣂ࣮ࢱ࡟࠾ࡅࡿཷືᛶ࡟ᇶ࡙ࡃไᚚࡢไᚚࢤ࢖ࣥ࡟㛵ࡍࡿ
᳨୍ウࠊᅇ㊰࡜ࢩࢫࢸ࣒ A-1-15ࠊ❧࿨㤋኱Ꮫ (2015.3.10)
(7)Alexandros Kordonis , Ryo Takahashi, Daichi Nishihara, and Takashi Hikihara, Three-Phase
Power Router and its Operation with Matrix Converter toward Smart-Grid Applications, Energies, 8,
3034-3046 (2015); doi:10.3390/en8043034.
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 29 ᪥
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኱つᶍศᩓ㟁※࡟ࡼࡿ㟁ຊ⣔⤫ࡢᏳᐃ໬
኱つᶍศᩓ㟁※࡟ࡼࡿ㟁ຊ⣔⤫ࡢᏳᐃ໬
኱㜰኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
኱㜰኱Ꮫ኱Ꮫ㝔ᕤᏛ◊✲⛉
⯚ᮌ ๛ᩍᤵ
⯚ᮌ ๛ᩍᤵ
ཷクඛྡ㸸ᰴᘧ఍♫ࢲ࢖࣊ࣥ ศᩓ㟁※஦ᴗ㒊
ཷクඛྡ㸸ᰴᘧ఍♫ࢲ࢖࣊ࣥ ศᩓ㟁※஦ᴗ㒊
㸯㸬┠ⓗ
኱㔞࡟ᑟධࡉࢀࡓኴ㝧ගⓎ㟁ࡢ㟁ຊ⣔⤫࡬ࡢᙳ㡪ࢆホ౯ࡍࡿࠋ
㸰㸬ᡂᯝ
⣔⤫஦ᨾࡸ㈇Ⲵኚື࡟ࡼࡾ㟁ᅽࠊ㟁ຊࡀኚືࡋࠊᣢ⥆ࡍࡿ㟁ຊືᦂࡀၥ㢟࡜࡞ࡗ࡚࠸ࡿࠋ㟁ຊ
ືᦂ࡟ࡼࡾⓎ㟁ᶵࡀゎิࡉࢀࡓࡾࠊከᩘࡢⓎ㟁ᶵ࡟Ἴཬࡍࢀࡤ኱つᶍ࡞೵㟁ࡸ኱ࡁ࡞஦ᨾ࡟⧅ࡀ
ࡿྍ⬟ᛶࡀ࠶ࡿࠋࡲࡓᡃࡀᅜ࡛ࡣᅛᐃ౯᱁㈙࠸ྲྀࡾไᗘࡢᑟධࢆዎ࡟ࠊྛᆅ࡟ኴ㝧ගⓎ㟁ᡤࡢタ
⨨ࡀ㐍ࢇ࡛࠸ࡿࠋ௒ᚋኴ㝧ගⓎ㟁ࡀ㟁ຊ⣔⤫࡟኱㔞ᑟධࡉࢀࡿ࡜ࠊኴ㝧ගⓎ㟁ࢩࢫࢸ࣒ࡢฟຊࡀ
㟁ຊືᦂࢆຓ㛗ࡍࡿᜍࢀࡀ࠶ࡿࠋࡑࡇ࡛௒ᖺᗘࡣࠊኴ㝧ගⓎ㟁ࢩࢫࢸ࣒ࡢฟຊኚືࡢ⿵ൾࢆ┠ⓗ
࡜ࡋ࡚⵳㟁ụࢆ⏝࠸ࡓ㟁ຊືᦂࢆᢚไࡍࡿᡭἲࢆ᳨ウࡋࡓࠋᮏ◊✲࡛ࡣ⣔⤫ࣔࢹࣝ࡜ࡋ࡚ࠊFig.1
ࡢኴ㝧ගⓎ㟁ࢩࢫࢸ࣒ࢆྵࡴ୍ᶵ↓㝈኱ẕ⥺ࣔࢹࣝ⣔⤫ࢆ⪃࠼ࡿࠋࡇࡇ࡛ࠊG1 ࡣᐃ᱁ 100MVA
ࡢⓎ㟁ᶵࠊG4 ࡣ 60Hz ࡢ↓㝈኱ẕ⥺࡛࠶ࡿࠋࡲࡓ↓ຠ㟁ຊኚືࡸ㟁ᅽኚືࡣᑠࡉ࠸࡜ࡋࠊࡇࢀ
ࢆ↓どࡋ࡚᭷ຠ㟁ຊࡢࡳ࡟ὀ┠ࡋ࡚ኴ㝧ගⓎ㟁ࢩࢫࢸ࣒ࡢ᭷ຠ㟁ຊኚື¨Pinv ࡟ࡼࡿ G1 ࡢ᭷ຠ
㟁ຊኚື¨P1 ࢆồࡵࡿࠋ
㟁ຊືᦂࢆᢚไࡍࡿࡓࡵ࡟ࠊⓎ㟁ᶵ G1 ࡬ධຊࡉࢀࡿ᭷ຠ㟁ຊ¨Pinv ࠿ࡽືᦂ࿘Ἴᩘᡂศࢆ㝖
ཤࡍࡿ஦ࢆ⪃࠼ࡿࠋࡇࢀࢆᐇ⌧ࡍࡿࡓࡵ࡟ࠊFig.1 ࡟♧ࡍኴ㝧ගⓎ㟁ࢩࢫࢸ࣒࡟ేタࡉࢀࡓ⵳㟁
ụࢩࢫࢸ࣒ࢆ⏝࠸ࡿࠋFig.1 ࡢⅬ⥺࡛ᅖࢇࡔࢩࢫࢸ࣒ࡀ㟁ຊືᦂ࿘Ἴᩘᡂศࢆ㏻ࡉ࡞࠸ࣀࢵࢳࣇ
࢕ࣝࢱࡢᵝ࡞≉ᛶࢆᣢࡘࡼ࠺࡟⵳㟁ụഃࡢ࢖ࣥࣂ࣮ࢱไᚚ⣔ࢆタィࡍࡿࠋFig.2 ࡢ Idref ࡣࢥࣥࢺ
࣮ࣟࣛ K ࠿ࡽฟຊࡉࢀࡿ᭷ຠ㟁ຊ࡟ᑐࡍࡿ㟁ὶᣦ௧್ࢆ⾲ࡍࠋࡇࡢไᚚ⣔ࡣ¨Pinv ࡜¨Pbat ࡢຍ
⟬㟁ຊ¨Pout ࢆࣇ࢕࣮ࢻࣂࢵࢡࡋࠊIdref ࡢᣦ௧್࡟ᑐࡋ࡚⵳㟁ụࡢฟຊ¨Pbat ࢆㄪᩚࡍࡿไᚚ
⣔࡛࠶ࡿࠋ㟁ຊືᦂ࿘Ἴᩘ ǚ ࡣ᪤▱࡜ࡍࡿ࡜ࠊෆ㒊ࣔࢹࣝཎ⌮࡟ᇶ࡙࠸࡚ࢥࣥࢺ࣮ࣟࣛࢆタィࡋ
ࡓࠋ
ኴ㝧ගⓎ㟁ࢩࢫࢸ࣒ࡢ᭷ຠ㟁ຊฟຊࡀ 10[MW]࠿ࡽ 0[MW]࡬ᛴῶࡋࡓ஦ࢆ᝿ᐃࡋࡓࢩ࣑ࣗࣞ
࣮ࢩࣙࣥࢆ⾜ࡗࡓࠋࡇࡇ࡛ࡣ⵳㟁ụࢩࢫࢸ࣒᭷↓࡛ࡢ⣔⤫࿘Ἴᩘኚືࢆẚ㍑ࡋࠊ㟁ຊືᦂࡢᢚไ
ຠᯝࢆ᳨ドࡍࡿࠋࡓࡔࡋࠊ⵳㟁ụࡢᐜ㔞࡟≉࡟ไ㝈ࡣタࡅ࡞࠸ࠋኴ㝧ගⓎ㟁ࢩࢫࢸ࣒ࡢ᭷ຠ㟁ຊ
ฟຊࡣࢩ࣑࣮ࣗࣞࢩࣙࣥ㛤ጞ 1 ⛊ᚋ࡟ᛴῶࡉࡏࡓࠋࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝࢆ Fig.3 ࡟♧ࡍࠋኴ㝧
ගⓎ㟁ࢩࢫࢸ࣒ࡀ㸫10[MW]ᛴῶࡋࡓ᫬࡟ࠊ⵳㟁ụࢩࢫࢸ࣒ࡀ⣙ 7.5[MW]ࡢࣃࣝࢫฟຊࢆࡍࡿ࡜ࠊ
⵳㟁ụࡀືᦂᡂศࢆ⿵ൾࡍࡿ஦࡛⣔⤫ࡢゅ㏿ᗘኚ໬ศࡀ኱ᖜ࡟ᢚไࡉࢀ࡚࠸ࡿ஦ࡀศ࠿ࡿࠋ௨ୖ
ࡼࡾࠊᮏᡭἲ࡛㟁ຊືᦂࢆᢚไฟ᮶ࡿ஦ࡀ☜ㄆ࡛ࡁࡓࠋ
− 73 −
௨ୖࡢࡼ࠺࡟㸪ᮏᖺᗘࡣ㟁ຊ⣔⤫࡛㟁ຊືᦂࡀ㉳ࡁࡓ㝿࡟ࠊࡑࡢཎᅉ࡜࡞ࡿືᦂ࿘Ἴᩘᡂศࢆ
⵳㟁ụ࡟ࡼࡾ㝖ཤࡉࡏࠊ⣔⤫ࡢᏳᐃ໬ࢆᅗࡿᡭἲࢆᥦ᱌ࡋࠊࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟࡚ࡑࡢ᭷ຠᛶ࡟
ࡘ࠸࡚☜ㄆࡋࡓࠋ
Fig. 1 ᳨ウᑐ㇟
Fig. 2 ไᚚ⣔
Fig. 3 ゎᯒ⤖ᯝ
㸱㸬ᡂᯝࡢබ⾲
(1) ᒾ⸨┤㈗ࠊ᭹㒊ᑗஅࠊ኱ᇼᙲ኱ࠊ⯚ᮌ๛㸹PV ࡢฟຊኚື⿵ൾ⏝⵳㟁ụ࡟ࡼࡿ㟁ຊືᦂᢚไຠ
ᯝࠊ㟁ẼᏛ఍඲ᅜ኱఍ࠊ4-096ࠊ(2015)
(2) Tsuyoshi Funaki, Akihiro Ohori, and Nobuyuki Hattori㸹Fast and high-precision phase
detection of positive phase sequence component by three phase PLL with complex coefficient
filter,The 5th IEEE Conference on Power Electronics for Distributed Generation Systems
(PEDG2014),NUI Galway,Ireland,June 24-27,2014.
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 21 ᪥
− 74 −
࣐࢖ࢡࣟἼᖏḟୡ௦↓⥺㹊㸿㹌ࡢ㐺⏝ホ౯◊✲
࣐࢖ࢡࣟἼᖏḟୡ௦↓⥺㹊㸿㹌ࡢ㐺⏝ホ౯◊✲
࣐࢖ࢡࣟἼᖏḟୡ௦↓⥺㹊㸿㹌ࡢ㐺⏝ホ౯◊✲
ி㒔኱Ꮫ኱Ꮫ㝔᝟ሗᏛ◊✲⛉
ி㒔኱Ꮫ኱Ꮫ㝔᝟ሗᏛ◊✲⛉
ி㒔኱Ꮫ኱Ꮫ㝔᝟ሗᏛ◊✲⛉
ᮧ⏣ⱥ୍෸ᩍᤵ
ᮧ⏣ⱥ୍෸ᩍᤵ
ᮧ⏣ⱥ୍෸ᩍᤵ
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
㸯㸬┠ⓗ
↓⥺ LAN ࡢఏ㏦ᐜ㔞ࢆ኱ࡁࡃྥୖࡉࡏࡿ 802.11ac つ᱁ࡣ᪤Ꮡ↓⥺ LAN ࡢ᭦᪂ࠊ↓⥺ࡢ㐺⏝
ᣑ኱࡜ࡋ࡚ᑟධࡀ᝿ᐃࡉࢀࠊ᳨ウࡀᚲせ࡞≧ἣ࡛࠶ࡿࠋ802.11ac ࡛ࡣࠊ࣐ࣝࢳ࣮ࣘࢨ MIMO ➼
ࡢ᪂ᢏ⾡ࡀ⧊㎸ࡲࢀࡿࡀࠊᙜヱᢏ⾡ࢆ⏝࠸ࡓ↓⥺ࢩࢫࢸ࣒ࡢ ᐃ࣭ホ౯ᡭἲ࡟ࡘ࠸࡚༑ศ࡞▱ぢ
ࢆ᭷ࡋ࡚࠸࡞࠸ࠋࡇࡢࡓࡵࠊ࣐ࣝࢳ࣮ࣘࢨ MIMO ࢆ⏝࠸ࡿ↓⥺ࢩࢫࢸ࣒ࡢ ᐃᡭἲࡸఏ㏦≉ᛶ
ྥୖࡢࡓࡵࡢ᪉⟇➼ࢆㄪᰝ࡟ࡼࡗ࡚᫂ࡽ࠿࡟ࡍࡿࠋ
㸰㸬ᡂᯝ
ḟୡ௦↓⥺ LAN ࡸᦠᖏ㟁ヰࢩࢫࢸ᳨࣒࡛ウࡉࢀ࡚࠸ࡿ࣐ࣝࢳ࣮ࣘࢨ MIMO ࡢ㏻ಙ㊰ᐜ㔞ࡢ᳨
ウࢆ⾜ࡗࡓࠋࡇࢀࡲ࡛ࣇ࢙࣮ࢪࣥࢢࡢ┦㛵ࡀ࠶ࡿሙྜࡢᐜ㔞ホ౯ࡣከࡃ⾜ࢃࢀ࡚࠸ࡿࡀࠊࢩࣕࢻ
࢘࢖ࣥࢢࡢ✵㛫┦㛵ࢆ⪃៖ࡋࡓ᳨ウࡣ࡯࡜ࢇ࡝ぢࡽࢀ࡞࠿ࡗࡓࠋ≉࡟௒ᖺᗘࡣࠊィ⟬ᶵࢩ࣑ࣗࣞ
࣮ࢩࣙࣥࡢࡳ࡞ࡽࡎࠊ⌮ㄽⓗ࡟ࡶ᳨ウࢆ⾜ࡗࡓࠋ
ࡇࢀࡲ࡛ࡢ኱ࡁ࡞ࢭࣝࡢሙྜࠊ࣮ࣘࢨ㛫ࡢ㊥㞳ࡣ㐲ࡃ㞳ࢀ࡚࠸ࡿ࡜᝿ᐃ࡛ࡁࠊᘓ≀࡞࡝࡟ࡼࡿ
㐽ⶸ࡟ࡼࡗ࡚⏕ࡌࡿࢩࣕࢻ࢘࢖ࣥࢢࡶ࣮ࣘࢨ㛫࡛␗࡞ࡿ࡜௬ᐃࡍࡿࡇ࡜ࡀ࠾࠾ࡴࡡጇᙜ࡛࠶ࡗࡓࠋ
ࡋ࠿ࡋࠊ↓⥺ࢩࢫࢸ࣒ࡣఏ㏦㏿ᗘࢆ㧗㏿໬ࡍࡿࡓࡵ࡟ࢭࣝࡀᑠࡉࡃ࡞ࡿഴྥ࡟࠶ࡾࠊᦠᖏ㟁ヰࢩ
ࢫࢸ࣒࡟࠾࠸࡚ࡶᕷ⾤ᆅ࡛ࡣⓒ࣓࣮ࢺࣝ௨ୗ࡜࡞ࡗ࡚ࡁ࡚࠸ࡿࠋࡇࡢࡓࡵࠊᘓ≀ࡢ኱ࡁࡉ࡟ẚ࡭
࡚ྠࡌࢭࣝෆࡢ࣮ࣘࢨ㛫ࡀ༑ศ࡟㞳ࢀ࡚࠸ࡿ࡜௬ᐃ࡛ࡁ࡞ࡃ࡞ࡗ࡚ࡁ࡚࠸ࡿࠋࡇࡢࡓࡵࠊࢩࣕࢻ
࢘࢖ࣥࢢࡢ✵㛫┦㛵ࢆ⪃៖ࡋ࡚࣐ࣝࢳ࣮ࣘࢨ MIMO ࢩࢫࢸ࣒ࡢᐜ㔞ࢆホ౯ࡍࡿᚲせࡀ⏕ࡌ࡚࠸
ࡿࠋ
ᑗ᮶ࡢ↓⥺㏻ಙ࡟࠾ࡅࡿࡶ࠺୍ࡘࡢ㔜せ࡞ᢏ⾡ࡀศᩓ࢔ࣥࢸࢼࢩࢫࢸ࣒(DAS: Distributed
Antenna System)࡛࠶ࡿࠋ࢔ࣥࢸࢼࡀᆅ⌮ⓗ࡟ศᩓ㓄⨨ࡉࢀࡿࡇ࡜࡟ࡼࡾࠊ࣮ࣘࢨࡢ࢔ࢡࢭࢫ㊥
㞳ࡀ▷⦰ࡉࢀࠊࢩࣕࢻ࢘࢖ࣥࢢ࡟ࡼࡿᙳ㡪ࡶ㍍ῶࡉࢀࡿࡇ࡜ࡀᮇᚅ࡛ࡁࡿࠋࡇࢀࡲ࡛ࠊ࢔ࣥࢸࢼ
ࡀ ᇶ ᆅ ᒁ ࡟ 㞟 ୰ ⓗ ࡟ 㓄 ⨨ ࡉ ࢀ ࡓ ఏ ⤫ ⓗ ࡞ 㞟 ୰ ࢔ ࣥ ࢸ ࢼ ࢩ ࢫ ࢸ ࣒ (CAS: Centralized Antenna
System)࡜ DAS ࡟ࡘ࠸࡚ᖹᆒᐜ㔞ཬࡧ࢔࢘ࢸ࣮ࢪᐜ㔞ࡢẚ㍑ࡀᗈࡃ᳨ウࡉࢀ࡚ࡁࡓࠋࡇࢀࡽࡢ
᳨ウ࡛ࡣ DAS ࡟ࡼࡗ࡚ࢳࣕࢿࣝᐜ㔞ࠊ≉࡟࢔࢘ࢸ࣮ࢪᐜ㔞ࡀ኱ࡁࡃᨵၿࡉࢀࡿࡇ࡜ࡀ♧ࡉࢀ࡚
࠸ࡿࠋࡋ࠿ࡋࠊఏᦙᦆኻࠊࣞ࢖࣮ࣜࣇ࢙࣮ࢪࣥࢢࠊࢩࣕࢻ࢘࢖ࣥࢢᦆኻࢆ⪃៖ࡋࡓ࿘Ἴᩘ㑅ᢥᛶ
ࡲࡓࡣ㠀㑅ᢥᛶࡢࢳࣕࢿࣝࣔࢹࣝࡀ⏝࠸ࡽࢀ࡚࠸ࡿࡶࡢࡢࠊࢩࣕࢻ࢘࢖ࣥࢢ࡟ࡘ࠸࡚ࡣ✵㛫┦㛵
ࢆ⪃៖ࡋ࡞࠸⊂❧ྠ୍ศᕸ(i.i.d.)ࢩࣕࢻ࢘࢖ࣥࢢ࡛࠶ࡿࠋ
ࡇࢀࡽࡢ◊✲࡛ࡣࠊ✵㛫ⓗ࡟⊂❧࡞ᑐᩘṇつศᕸ࡟ࡼࡗ࡚ࢩࣕࢻ࢘࢖ࣥࢢಀᩘࢆ⏕ᡂࡋ࡚࠸ࡿ
ࡓࡵࠊࡑࡢಀᩘࡣ࢔ࣥࢸࢼ㛫㊥㞳࡟౫Ꮡࡋ࡞࠸ࠋ」ᩘ࢔ࣥࢸࢼࡀ㏆᥋ࡋ࡚㞟୰㓄⨨ࡉࢀࡓ CAS
࡟࠾࠸࡚ࡣࠊࡑࡢ࢔ࣥࢸࢼ㛫㊥㞳ࢆ᏶඲࡟ 0 ࡜ぢ࡞ࡋᇶᆅᒁ࢔ࣥࢸࢼ㛫࡟ྠ୍ࡢࢩࣕࢻ࢘࢖ࣥࢢ
ಀᩘࢆ௬ᐃࡋ᳨࡚ウࡉࢀ࡚࠸ࡿࠋ୍᪉ࠊ」ᩘ࢔ࣥࢸࢼࡀศᩓ㓄⨨ࡉࢀࡓ DAS ࡟࠾࠸࡚ࡣࠊࢩࣕ
− 75 −
ࢻ࢘࢖ࣥࢢࡢ✵㛫┦㛵ᛶࡀ⏕ࡌ࡞࠸ࡼ࠺࡞࢔ࣥࢸࢼ㛫㊥㞳ࡀ᝿ᐃࡉࢀࠊᇶᆅᒁ࢔ࣥࢸࢼ㛫࡟⊂❧
ࡢࢩࣕࢻ࢘࢖ࣥࢢಀᩘࢆ⏝࠸᳨࡚ウࡀ⾜ࢃࢀ࡚࠸ࡿࠋ
ࡇࡢࡼ࠺࡞௬ᐃࡣࠊCAS ࡟ࡣᩘ༑Ἴ㛗ࡢࠊDAS ࡟ࡣᩘ࣓࣮࢟ࣟࢺࣝࡢ࢔ࣥࢸࢼ㛫㊥㞳ࡀ᝿ᐃ
ࡉࢀ࡚࠸ࡿሙྜ࡟ࡣጇᙜ࡛࠶ࡗࡓࡀࠊࢭࣝࡢᑠᆺ໬ࡀ㐍ࡳࢩࣕࢻ࢘࢖ࣥࢢࡢ✵㛫┦㛵㊥㞳࡜ࢭࣝ
ࢧ࢖ࢬࡢẚࡀᑠࡉࡃ࡞ࡗ࡚࠸ࡿ≧ἣ࡛ࡣ࢔ࣥࢸࢼࡢ㓄⨨࡟ࡼࡗ࡚ࡣ㐺ษ࡛ࡣ࡞ࡃ࡞ࡿ࡜⪃࠼ࡽࢀ
ࡿࠋ
✵㛫┦㛵ᛶࡢᙳ㡪ࢆ⪃៖ࡋ࡚ࡼࡾ⌧ᐇ࡟㏆࠸ホ౯ࢆ⾜࠺ሙྜࠊ࢔ࣥࢸࢼ㛫㊥㞳࡜✵㛫┦㛵㊥㞳
࡟ࡼࡗ࡚ࡣࡇࢀࡲ࡛ࡢࢩࣕࢻ࢘࢖ࣥࢢࣔࢹࣝ࡜ẚ㍑ࡋ࡚ CAS ࡢࢳࣕࢿࣝᐜ㔞ࡀቑຍࡍࡿ࡜⪃࠼
ࡽࢀࡿ୍᪉ࠊ࢔ࣥࢸࢼࡀ✵㛫ⓗ࡟ศᩓࡋ࡚㓄⨨ࡉࢀ࡚࠸ࡿࡓࡵᇶᆅᒁ࢔ࣥࢸࢼ㛫࡛ࡣ┦㛵ࡢᑠࡉ
࠸ࢩࣕࢻ࢘࢖ࣥࢢࢆᮇᚅ࡛ࡁࡿ DAS ࡛࠶ࡿࡀࠊࢩࣕࢻ࢘࢖ࣥࢢࡢ✵㛫┦㛵ᛶ࡟ࡼࡗ࡚ᐜ㔞ࡀῶ
ᑡࡍࡿ࡜ண᝿ࡉࢀࡿࠋ
ࡇࡢࡼ࠺࡟ࠊ✵㛫┦㛵ᛶࢆ⪃៖ࡋ࡞࠸ i.i.d.ࢩࣕࢻ࢘࢖ࣥࢢࣔࢹࣝ࡟ࡼࡗ࡚ᚓࡽࢀࡿᐜ㔞࡜ẚ㍑
ࡋ࡚ࠊ✵㛫┦㛵ᛶࢆ⪃៖ࡋࡓࡼࡾ⌧ᐇ࡟㏆࠸ࢩࣕࢻ࢘࢖ࣥࢢࣔࢹ࡛ࣝࡣ CAS ࡢᐜ㔞ࡀቑ኱ࡋࠊ
DAS ࡢᐜ㔞ࡀῶᑡࡍࡿࠋࡇࡢࡓࡵࠊDAS ࡢࢳࣕࢿࣝᐜ㔞ࡀ CAS ࡼࡾࡶ኱ࡁ࠸ࡇ࡜ࢆ♧ࡍ࡟ࡣ
i.i.d.ࢩࣕࢻ࢘࢖ࣥࢢࣔࢹ࡛ࣝࡣ୙༑ศ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋࡲࡓࠊࢭࣝ㛫ᖸ΅࡟ࡼࡿᙳ㡪࡜ࠊCAS
࡜ DAS ࢆ༊ูࡍࡿ࢔ࣥࢸࢼ㛫㊥㞳ࡢኚ໬ࡀࢳࣕࢿࣝᐜ㔞࡟ཬࡰࡍᙳ㡪ࡶࡇࢀࡲ࡛᫂☜࡟ࡉࢀ࡚
࠸࡞࠸ࠋ
ࡑࡇ࡛௒ᖺᗘࡣࠊMIMO ఏ㏦ࡢ DAS ࡬ࡢ㐺⏝ຠᯝࢆ᫂☜࡟ࡍࡿࡓࡵ࡟ࠊ᫖ᖺᗘ࡜ྠࡌࡃఏᦙ
ᦆኻ࡜ࣇ࢙࣮ࢪࣥࢢࢆ⪃៖ࡋࠊࡉࡽ࡟ CAS ࡜ DAS ࡢࢳࣕࢿࣝᐜ㔞ࡢẚ㍑࡟㛵ࡋ࡚௒ࡲ࡛ㄽࡌࡽ
ࢀ࡚࠸࡞࠸✵㛫┦㛵ࢆ᭷ࡍࡿᐇ㝿ⓗ࡞ࢩࣕࢻ࢘࢖ࣥࢢࡢᙳ㡪࡜ࢭࣝ㛫ᖸ΅ࡶ⪃៖ࡋࠊୗࡾࣜࣥࢡ
࡟ ࡘ ࠸ ࡚ ࢩ ࣥ ࢢ ࣝ ࣘ ࣮ ࢨ (SU) ཬ ࡧ ࣐ ࣝ ࢳ ࣘ ࣮ ࢨ (MU) ࢆ ྲྀ ࡾ ୖ ࡆ ࠊ ≉ ࡟ ⌮ ㄽ ゎ ᯒ ࡶ ྵ ࡵ ࡚
CAS-MIMO ఏ㏦࡜ DAS-MIMO ఏ㏦ࡢࢳࣕࢿࣝᐜ㔞≉ᛶࡢẚ㍑ࢆ⾜ࡗࡓࠋࡲࡓࠊᖸ΅ࡀᏑᅾࡍ
ࡿሙྜࡢࢳࣕࢿࣝᐜ㔞≉ᛶࡢኚ໬࡟ࡘ࠸࡚ࡶ᳨ウࡋࡓࠋ
㸱㸬ᡂᯝࡢබ⾲
(1)Ou Zhao, Hidekazu Murata㸹Sum rate analysis of ZF receivers in MU-MIMO systems
under the effects of spatial correlation, 㟁Ꮚ᝟ሗ㏻ಙᏛ఍ᢏ⾡◊✲ሗ࿌, AP2014-2, pp.7-12,
Apr. 2014.
(2)Ou Zhao, Hidekazu Murata㸹Effects analysis of spatial correlation on the sum rate
distribution in MU-MIMO systems, Proceedings of the IEEE 79th Vehicular Technology
Conference (IEEE VTC 2014 Spring), Seoul, Korea, May 2014.
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 5 ᭶ 30 ᪥
− 76 −
㐽᩿ჾ⏝┿✵ࣂࣝࣈࡢ⤯⦕タィ࡟㛵ࡍࡿᇶ♏◊✲
ᒣᮏ ಟ
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
ᰴᘧ఍♫᫂㟁⯋
㸯㸬┠ⓗ
┿✵㐽᩿ჾ⏝┿✵ࣂࣝࣈࡢᖏ㟁ࢆᢚไࡋࠊ⪏ᅽࢆྥୖࡉࡏࡿࡓࡵࡢ㟁⏺⦆࿴⏝ࢩ࣮ࣝࢻࣜࣥࢢ
㟁ᴟࡢᖏ㟁ᢚไຠᯝࢆ᫂ࡽ࠿࡟ࡍࡿࠋ
㸰㸬ᡂᯝ
┿✵㧗㟁ᅽᶵჾ࡛ࡣἢ㠃ᨺ㟁ࡢᢚไࡀႚ⥭ࡢㄢ㢟࡜࡞ࡗ࡚࠸ࡿࠋ㔜せ࡞ἢ㠃ᨺ㟁ࡢ๓㥑㐣⛬࡜
ࡋ࡚ᅛయ⤯⦕ᨭᣢ≀ࡢ⾲㠃ᖏ㟁⌧㇟ࡀ࠶ࡿࠋᮏ◊✲࡛ࡣࠊࡲࡎࠊᅗ 1 ࡟♧ࡍࡼ࠺࡟⤯⦕෇⟄ෆࡢ
㝜ᴟ࡟ࢩ࣮ࣝࢻࣜࣥࢢࢆྲྀࡾ௜ࡅࠊ┤ὶ㧗㟁ᅽࢆ༳ຍࡋࡓ࡜ࡁࡢᖏ㟁ࡢᵝᏊࢆእ㒊࡟タ⨨ࡋࡓྍ
ືᆺࡢ㟼㟁ࣉ࣮ࣟࣈ࡟ࡼࡾㄪ࡭ࡓࠋᅗ 2 ࡟♧ࡍࡼ࠺࡟ࠊࢩ࣮ࣝࢻࣜࣥࢢࡢ㧗ࡉ㸦ᅗ 1 ୰ࡢ b㸧࡟
ᛂࡌ࡚ࣉ࣮ࣟࣈฟຊࠊࡋࡓࡀࡗ࡚ᖏ㟁ࡢᴟ኱Ⅼࡀ㝜ᴟ࠿ࡽ㐲ࡊ࠿ࡿࠋ࡞࠾ࠊࢩ࣮ࣝࢻࣜࣥࢢࡀ↓
࠸ሙྜࡢᴟ኱Ⅼࡣ᭱ࡶ㝜ᴟ࡟㏆ࡃࠊ࠿ࡘ್ࡶ኱ࡁ࠸ࠋ
ḟ࡟ࠊ ᐃࡋࡓࣉ࣮ࣟࣈฟຊ࡟᭱ࡶ㐺ྜࡍࡿ㟁Ⲵศᕸࢆ⌮ㄽィ⟬࡟ࡼࡾㄪ࡭ࡓ⤖ᯝࢆᅗ 3 ࡟♧
ࡍࠋࡇࡢ㟁Ⲵศᕸࡢ⌮ㄽィ⟬ࡣ஧ḟ㟁Ꮚ࡞ࡔࢀ⌧㇟ࢆ⪃៖ࡋࡓࡶࡢ࡛ࠊ஧ḟඖࢩ࣑࣮ࣗࣞࢩࣙࣥ
࡛࠶ࡿࠋࣉ࣮ࣟࣈฟຊࡢィ⟬࡟ࡣࠊࡇࡢ㟁Ⲵศᕸࢆ⪃៖ࡋࡓ୕ḟඖࡢ㟁⏺ィ⟬ࢆ⾜ࡗ࡚࠸ࡿࠋࡍ
࡞ࢃࡕࠊィ⟬࡜ ᐃࡢ୧ࣉ࣮ࣟࣈฟຊࡀ㐺ྜࡍࡿࡼ࠺࡟ồࡵࡓࡢࡀᅗ 3 ࡢ㟁Ⲵศᕸ࡛࠶ࡿࠋᅗ 3
ࡼࡾࠊࢩ࣮ࣝࢻࣜࣥࢢ࡜ᑐ㠃ࡍࡿ⤯⦕෇⟄ࡢෆ㠃ࡢᖏ㟁ࡀᢚไࡉࢀࡿࡇ࡜ࡀ᫂ࡽ࠿࡜࡞ࡗࡓࠋ
㸱㸬ᡂᯝࡢබ⾲
(1) Y. Shimizu, O. Yamamoto, H. Morii㸹Control of Surface Charge on Insulating Hollow
Cylinder by Using Shield-ring in Vacuum, IEEE Transactions on Dielectrics and Electrical
Insulation, Vol.21, No.3, pp. 1312-1318, 2014.
(2)R.Yoshida, Y.Yamano, O.Yamamoto, K.Hasegawa, H.Saito, K.Kitakizaki 㸹 Charge
distribution characteristics of bottle type insulator with shield ring in vacuum, 3rd
International Symposium on Discharges and Electrical Insulation in Vacuum (ISDEIV),
Mumbai, India, pp.73-76, 2014.
(3)H.Naruse, O.Yamamoto㸹Estimation of flashover voltage along cylindrical insulator in
vacuum 3rd International Symposium on Discharges and Electrical Insulation in Vacuum
(ISDEIV), pp.65 – 68, Mumbai, India, 2014.
(4)H.Naruse, H.Saito, M.Sakaki, O.Yamamoto㸹Flashover mechanisms of bridged vacuum
− 77 −
gaps based on cathode electric field measurement, IEEE Transactions on Dielectrics and
Electrical Insulation, Vol. 22 , Issue: 1, pp. 597 – 603, 2015.
(5) Takahiro Umemoto, Yusuke Shimizu, Hiroki Naruse, Osamu Yamamoto㸹3-D SEEA
Charge Analyses on Surface of Insulators in Vacuum, IEEE Transactions on Dielectrics and
Electrical Insulation, Vol. 22, Issue 2, pp. 1298-1305, April 2015.
pump
magnetic
seal
cathode
c
probe
b
shield ring
8
55
a
4
sensor
Al2O3
anode
guard electrode
vacuum
z
50
55
12
130
y
x
(mm)
ᅗ 1㸬ᐇ㦂⿦⨨ 㸦a= 1mm, 2×10-3 Pa㸧
ᅗ 2㸬ࣉ࣮ࣟࣈ࡟ࡼࡿ ᐃ⤖ᯝ㸦༳ຍ㟁ᅽ 20kV㸧
− 78 −
ᅗ 3㸬ィ⟬࡟ࡼࡾ᥎ᐃࡋࡓ㟁Ⲵศᕸ㸦༳ຍ㟁ᅽ 20 kV㸧
ሗ࿌᭩సᡂ᪥ ᖹᡂ 27 ᖺ 3 ᭶ 31 ᪥
− 79 −
஧ḟ㟁ụ࡟ࡼࡿ㟂⤥ไᚚ࡟㛵ࡍࡿ◊✲
ᮾி኱Ꮫ᪂㡿ᇦ๰ᡂ⛉Ꮫ◊✲⛉
ᶓᒣ᫂ᙪᩍᤵ
ཷクඛྡ㸸㛵す㟁ຊᰴᘧ఍♫
㸯㸬┠ⓗ
ኴ㝧ගⓎ㟁ࡢ኱㔞ᑟධ࡟ࡼࡿ࿘Ἴᩘኚືၥ㢟࡬ࡢᑐ⟇࡜ࡋ࡚ࠊ⵳㟁ụࢩࢫࢸ࣒(BESS)ࡢ฼⏝ࡀ
⪃࠼ࡽࢀࡿࡀࠊBESSࢆ㓄⨨ࡍࡿሙᡤ࡟ࡼࡗ࡚ࡣࠊBESSࡢฟຊኚື࡟ࡼࡾ⣔⤫࡟᪂ࡓ࡞₻ὶኚື
ࡸ㟁ᅽኚືࢆཬࡰࡍᜍࢀࡀ࠶ࡿࠋࡑࡢࡓࡵࠊBESSࡢ࿘Ἴᩘไᚚฟຊࡀ₻ὶ࡟୚࠼ࡿᙳ㡪ࢆ᭱ᑠ
࡟ࡍࡿBESSࡢ᭱㐺࡞㓄⨨ሙᡤࢆồࡵࡿᡭἲࢆᥦ᱌ࡋࠊࡑࡢホ౯ࢆ⾜࠺ࠋ
㸰㸬ᡂᯝ
(1) ⣔⤫ࢩ࣑࣮ࣗࣞࢩࣙࣥᡭἲ
LFC⏝BESSࡢฟຊࡀ⣔⤫ࡢ₻ὶ࡟୚࠼ࡿᙳ㡪ࢆィ⟬ࡍࡿࡓࡵ࡟ࡣࠊࡲࡎLFC฼⏝᫬࡟BESSࡀ࡝ࡢࡼ࠺࡞ฟຊࢆࡍࡿࡢ࠿ࢆ▱ࡿᚲせࡀ࠶ࡿࠋࡑࡇ࡛ᮏ◊✲࡛ࡣࠊ࠶ࡽ࠿ࡌࡵBESSࢆ⏝࠸
ࡓ࿘Ἴᩘไᚚࢩ࣑࣮ࣗࣞࢩࣙࣥࢆࡋ࡚ࡑࡢ㝿ࡢBESSࡸⅆຊᶵࡢฟຊࢆồࡵࠊḟ࡟ࡑࡢࢹ࣮ࢱࢆ
ࡶ࡜࡟₻ὶィ⟬ࢆ᫬㛫᩿㠃ࡈ࡜࡟⾜࠺࡜࠸࠺᪉ἲࢆ࡜ࡗࡓࠋ
ࢩ࣑࣮ࣗࣞࢩࣙࣥ᮲௳࡟ࡘ࠸࡚ࡣࠊ㟁ຊ⣔⤫ࣔࢹࣝ࡜ࡋ࡚ᅗ1࡟♧ࡍ㟁ẼᏛ఍ᮾ30ᶵࣔࢹࣝࡢ
࠺ࡕࡢᑠつᶍ⣔⤫ࢆ⏝࠸ࡓࠋ㈇Ⲵ᭤⥺࡜PVฟຊࡢࢹ࣮ࢱࡣᅗ2࡟♧ࡍࡶࡢࢆ⏝࠸ࡓࠋᑟධࡉࢀࡿ
BESSࡢᐜ㔞ࡣࠊࢺ࣮ࢱ࡛ࣝ120 MW, 48 MWh࡜ࡋࡓࠋࡲࡓࠊཎᏊຊⓎ㟁ᶵฟຊࡣᐃ᱁ฟຊ୍࡛
ᐃ࡜ࡋ࡚࠸ࡿࠋ
䢳䢲䢲䢲䢲
䢢
䣒䣱䣹䣧䣴䢢䣈䣮䣷䣥䣶䣷䣣䣶䣫䣱䣰䢢䣝䣏䣙䣟
䢺䢲䢲䢲
䢸䢲䢲䢲
䣎䣱䣣䣦
䣒䣘
䢶䢲䢲䢲
䢴䢲䢲䢲
䢲
䢲
䢢
ᅗ1 㟁ຊ⣔⤫ࣔࢹࣝ
䢶
䢺
䢳䢴
䣶䣫䣯䣧䢢䣝䣪䣱䣷䣴䣟
䢳䢸
䢴䢲
䢴䢶
ᅗ2 ㈇Ⲵኚື࡜PVฟຊ
₻ὶィ⟬ࢆࡍࡿࡓࡵࠊᅗ1ࡢ⣔⤫ࣔࢹࣝ࡟࠾ࡅࡿ᫬㛫᩿㠃ࡈ࡜ࡢྛⓎ㟁ᶵࡢฟຊࢹ࣮ࢱࡸྛ㈇
Ⲵࡢ㈇Ⲵࢹ࣮ࢱࢆసᡂࡍࡿࠋྛⅆຊⓎ㟁ᶵࡢ᭷ຠ㟁ຊฟຊࡣࠊⅆຊᶵ඲యࡢฟຊࢆࠊྛⅆຊᶵ࡟
ᐃ᱁ฟຊࡢẚ࡛ẚ౛㓄ศࡍࡿࡇ࡜࡛సᡂࡋࡓࠋྛ㈇Ⲵࡢ᭷ຠ㟁ຊࡣࠊᅗ2࡟♧ࡋࡓ⣔⤫඲యࡢ᭷
− 80 −
ຠ㟁ຊ㈇Ⲵࡢ್ࢆࠊᮾ30ᶵ⣔⤫ࣔࢹࣝࡢࣆ࣮ࢡ᫬㈇Ⲵࡢẚ࡛ẚ౛㓄ศࡍࡿࡇ࡜࡛సᡂࡋࡓࠋ㈇Ⲵ
ࡢ↓ຠ㟁ຊࡢᣦᐃ್ࡣࠊ
(1)
ൌ െͺ͸ ൅ ͲǤ͵ͺሺǣ ǡ ǣ ƒ”ሻ
࡟ࡼࡗ࡚ồࡵࡓࠋPV࡟ࡘ࠸࡚ࡣࠊྛ㈇Ⲵ࡟ᑟධࡉࢀ࡚࠸ࡿ࡜ࡋࠊྠ᪥ࡢ␗࡞ࡿᆅⅬࡢ᪥ᑕ㔞ࢹ࣮
ࢱࢆࡶ࡜࡟ࠊྛ㈇Ⲵ࡟ᑟධࡉࢀ࡚࠸ࡿPVࡢฟຊࣃࢱ࣮ࣥࢆࡑࢀࡒࢀసᡂࡋࡓࠋᅗ2ࡢPVฟຊࡣࠊ
ࡇࢀࡽࡢPVࡢฟຊࡢྜィ್࡛࠶ࡿࠋࡲࡓࠊPVࡢᑟධ㔞ࡣࠊ㈇Ⲵࡢ኱ࡁ࠸࡜ࡇࢁ࡯࡝ከ࠸࡜⪃࠼ࠊ
ྛ㈇Ⲵࡢࣆ࣮ࢡ᫬㈇Ⲵࡢ኱ࡁࡉ࡟ẚ౛ࡍࡿࡼ࠺࡟タᐃࡋ࡚࠸ࡿࠋྛࢹ࣮ࢱࡣ඲࡚5⛊้ࡳࡢࢹ࣮
ࢱ࡜ࡋ࡚సᡂࡋࠊ₻ὶィ⟬ࡣ11᫬࠿ࡽ13᫬ࡲ࡛ࡢࢹ࣮ࢱࢆ⏝࠸࡚⾜ࡗࡓࠋ
(2) BESSࡢ᭱㐺㓄⨨
⣔⤫ࣔࢹࣝ࡟࠾࠸࡚BESSࡀタ⨨ࡉࢀ࠺ࡿࣀ࣮ࢻࡣࠊࣀ࣮ࢻ18㹼27࡛࠶ࡿ࡜ࡍࡿࠋᮏ◊✲࡛ࡣࠊ
BESSࡢ᭱㐺㓄⨨ၥ㢟ࢆࠊࠕタ⨨ࡍࡿBESSࡢ⥲㔞ࢆNಶࡢᑠࡉ࡞༢఩(10MW⛬ᗘ) ࡟➼ศ๭ࡋࠊ
ࡑࡢᑠࡉ࡞BESSࢆ࡝ࡢࣀ࣮ࢻ࡟ఱಶタ⨨ࡍࡿࡢࡀ᭱㐺࠿ࠖ࡜࠸࠺ၥ㢟࡜ࡋ࡚⪃࠼ࡿࠋ᭱㐺໬࡟
ࡣࠊࢱࣈ࣮ࢧ࣮ࢳἲࢆ⏝࠸ࡓࠋ
ᮏ◊✲࡛ࡣࠊ⣔⤫ࡢ඲ࣈࣛࣥࢳ࡟ࡘ࠸࡚ࠊ₻ὶኚືࡢቑຍ್ࢆ (BESSタ⨨ᚋࡢࠊࣈࣛࣥࢳ᭷
ຠ㟁ຊࡢᶆ‽೫ᕪ)㸫(BESSタ⨨๓ࡢࠊࣈࣛࣥࢳ᭷ຠ㟁ຊࡢᶆ‽೫ᕪ) ࡟ࡼࡗ࡚ồࡵࠊቑຍ್ࡀ᭱
኱࡜࡞ࡿࣈࣛࣥࢳࡢ್ࢆ┠ⓗ㛵ᩘ࡜ࡋࠊࡇࢀࢆ᭱ᑠ໬ࡍࡿࡇ࡜ࢆ┠ᶆ࡜ࡍࡿࠋࡘࡲࡾ┠ⓗ㛵ᩘOF
ࡣᘧ(2)ࡢࡼ࠺࡟࡞ࡿࠋ
ൌ ƒšሺܵ‫ܵܵܧܤݓ݋݈ܨܦ‬ଵ െ ܵ‫ܵܵܧܤ݋ܰݓ݋݈ܨܦ‬ଵ ǡ ܵ‫ܵܵܧܤݓ݋݈ܨܦ‬ଶ െ ܵ‫ܵܵܧܤ݋ܰݓ݋݈ܨܦ‬ଶǥǤǤ
(2)
ܵ‫ܵܵܧܤݓ݋݈ܨܦ‬ே െ ܵ‫ܵܵܧܤ݋ܰݓ݋݈ܨܦ‬ே ሻ
ࡓ ࡔ ࡋ ࠊ ܵ‫ܵܵܧܤݓ݋݈ܨܦ‬௜ ࡣ BESS タ ⨨ ᫬ ࡢ ࠊ ࣈ ࣛ ࣥ ࢳ i ࢆ ὶ ࢀ ࡿ ᭷ ຠ 㟁 ຊ ࡢ ᶆ ‽ ೫ ᕪ ࠊ
ܵ‫ܵܵܧܤ݋ܰݓ݋݈ܨܦ‬௜ ࡣBESSタ⨨๓ࡢࠊࣈࣛࣥࢳiࢆὶࢀࡿ᭷ຠ㟁ຊࡢᶆ‽೫ᕪ࡛࠶ࡿࠋ
᭱㐺㓄⨨ᡭἲࢆ⏝࠸ࡓሙྜ࡜ࠊ⏝࠸࡞࠿ࡗࡓሙྜ(ࣀ࣮ࢻ18㹼27ࡢࡑࢀࡒࢀ࡟120MWࡢ኱ࡁ࡞
BESS㸯ࡘࢆタ⨨ࡋ࡚࠸ࡗࡓሙྜ) ࡢ⤖ᯝࢆ⾲1࡟♧ࡍࠋ⾲1࡟ࡣࠊタ⨨ࡍࡿ๓࡜ẚ࡭࡚᭱ࡶ₻ὶ
ኚືࡢ኱ࡁࡃ࡞ࡗࡓࣈࣛࣥࢳ࡜ࠊࡑࡢࣈࣛࣥࢳ࡛ࡢ₻ὶኚືࡢቑຍ್ࡀ♧ࡉࢀ࡚࠸ࡿࠋ࡞࠾ࠊ᭱
㐺㓄⨨ᡭἲ࡛ࡣ120MWࡢBESSࢆ12ಶ࡟➼ศ๭ࡋ࡚᥈⣴ࢆ⾜ࡗ࡚࠸ࡿࠋ⤖ᯝࢆぢࡿ࡜ࠊ኱ࡁ࡞
BESSࢆ㸯ࡘタ⨨ࡋࡓሙྜࠊ₻ὶኚືࡢቑຍࡀ᭱ࡶᑠࡉ࠿ࡗࡓࡢࡣࣀ࣮ࢻ27࡟BESSࢆタ⨨ࡋࡓ
᫬࡛࠶ࡿ஦ࡀศ࠿ࡿࠋࡑࡋ࡚ࠊBESSࢆ᭱㐺㓄⨨ᡭἲ࡟ࡼࡗ࡚ᚓࡓ㓄⨨࡟ࡋࡓሙྜࡣࠊ₻ὶኚື
ࡢቑຍࡀࡑࢀࡼࡾࡶᑠࡉࡃ࡞ࡗ࡚࠾ࡾࠊࡼࡾⰋ࠸㓄⨨ࡀᚓࡽࢀ࡚࠸ࡿ஦ࡀศ࠿ࡿࠋ
⾲1 ᭱㐺㓄⨨ᡭἲࡢຠᯝ
㻮㻱㻿㻿䜢タ⨨䛧䛯䝜䞊䝗
䛭䜜䛮䜜䛻
䠍䛴䛾኱䛝
䛺㻮㻱㻿㻿䜢
⨨䛔䛯ሙྜ
᭱䜒₻ὶኚື
₻ὶኚື䛾
䛜኱䛝䛟䛺䛳䛯
ቑຍ್㻌㼇㻹㼃㼉
䝤䝷䞁䝏
䝜䞊䝗㻝㻤
䝤䝷䞁䝏㻞㻤
㻝㻣㻚㻡㻝㻢㻣
䝜䞊䝗㻝㻥
䝤䝷䞁䝏㻞㻥
㻣㻚㻤㻥㻣㻜
䝜䞊䝗㻞㻜
䝤䝷䞁䝏㻟㻜
㻤㻚㻡㻢㻢㻠
䝜䞊䝗㻞㻝
䝤䝷䞁䝏㻟㻝
㻠㻝㻚㻞㻠㻢㻥
䝜䞊䝗㻞㻞
䝤䝷䞁䝏㻟㻞
㻟㻚㻥㻣㻝㻟
䝜䞊䝗㻞㻟
䝤䝷䞁䝏㻟㻟
㻝㻢㻚㻟㻞㻤㻡
䝜䞊䝗㻞㻠
䝤䝷䞁䝏㻞㻝
㻢㻚㻡㻠㻢㻥
䝜䞊䝗㻞㻡
䝤䝷䞁䝏㻞㻞
㻝㻥㻚㻠㻝㻟㻣
䝜䞊䝗㻞㻢
䝤䝷䞁䝏㻞㻡
㻝㻝㻚㻠㻥㻠㻞
䝜䞊䝗㻞㻣
䝤䝷䞁䝏㻞㻢
㻟㻚㻣㻝㻣㻥
䝤䝷䞁䝏㻝㻠
㻞㻚㻡㻜㻞㻡
᭱㐺㓄⨨ 䝜䞊䝗㻞㻞㻦㻞㻜㻹㼃㻘㻌䝜䞊䝗㻞㻣㻦㻝㻜㻜㻹㼃
(3)ࡲ࡜ࡵ
ᮏ◊✲࡛ࡣ⣔⤫ࡢ₻ὶ࡟୚࠼ࡿᙳ㡪ࢆ᭱ᑠ
㝈࡟ᢚ࠼ࡿBESSࡢ㓄⨨ሙᡤࢆồࡵࡿᡭἲࢆ
ᥦ᱌ࡋࡓࠋ௒ᚋࡣᆅᇦࡈ࡜ࡢPVࡢᑟධ⋡࡞࡝ࠊ
ᵝࠎ࡞᮲௳ࢆኚ࠼ࡓሙྜ࡟ࡘ࠸᳨࡚ウࢆ⾜ࡗ
࡚࠸ࡁࠊBESSࡢタ⨨࡟㐺ࡋࡓሙᡤ࡟㛵ࡍࡿ
⪃ᐹࢆ⾜࠺ணᐃ࡛࠶ࡿࠋ
− 81 −
㸱㸬ᡂᯝࡢබ⾲
(1) ᶫᮏࠊᶓᒣ㸹㟁ຊ₻ὶ࡬ࡢᙳ㡪ࢆ⪃៖ࡋࡓLFC⏝⵳㟁ụ㓄⨨ሙᡤ࡟㛵ࡍࡿᇶ♏᳨ウࠊ㟁ẼᏛ
఍ࠊ㟁ຊ⣔⤫ᢏ⾡࣭㟁ຊᢏ⾡ྜྠ◊✲఍ࠊPE(PSE)-14-146 (2014ᖺ)
(2) ᶫᮏࠊᶓᒣ㸹ኴ㝧ගⓎ㟁ࡀ኱㔞ᑟධࡉࢀࡓ㟁ຊ⣔⤫࡬ࡢ࿘Ἴᩘไᚚ⏝BESSࡢ᭱㐺㓄⨨࡟㛵ࡍ
ࡿ◊✲ࠊ㟁ẼᏛ఍ ඲ᅜ኱఍㸦2015ᖺ3᭶㸧
ሗ࿌᭩సᡂ᪥㻌 ᖹᡂ 27 ᖺ 3 ᭶ 5 ᪥
− 82 −
ࢺࣆࢵࢡࢫ
ᮌᮧ☬᰿๪⌮ᮌᮧ☬᰿๪⌮஦㛗
஦㛗 බ┈♫ᅋἲேබ┈♫ᅋἲே᪥ᮏᆅ⌫ᝨᫍ⛉Ꮫ㐃ྜ-S*8
᪥ᮏᆅ⌫ᝨᫍ⛉Ꮫ㐃ྜ-S*8 タ❧
タ❧
࿘ᖺグᛕᘧ
඾࿘ᖺグᛕᘧ඾㸦
㸦 ᖺ ᭶ ᪥㸧ᖺ
࡟࠾
࠸࡚
ࠕࣇ࢙࣮ࣟࠖࢆཷ㈹
᭶
᪥㸧࡟࠾࠸࡚ࠕࣇ࢙࣮ࣟࠖࢆཷ㈹
ᖖົ⌮஦࣭஦ົᒁᖖົ⌮஦࣭஦ົᒁ㛗
㛗 㔝ᮧಇ㞝
㔝ᮧಇ㞝
ᮏ◊✲ᡤ๪⌮஦㛗ࡢᮌᮧ☬᰿ࡀࠊ ᖺᗘ බ┈♫ᅋἲே ᪥ᮏᆅ⌫ᝨᫍ⛉Ꮫ㐃ྜ㸦-S*8㸧ࡢタ❧ ࿘ᖺグᛕᘧ඾㸦 ᖺ ᭶ ᪥㸧࡟࠾࠸࡚ࠕࣇ࢙࣮ࣟࠖࢆཷ㈹ࡋࡲࡋࡓࠋ
-S*8 ࡛ࡣࠊࡑࡢάືࡀ ࿘ᖺࢆ㏄࠼ࡿࡇ࡜ࢆグᛕࡋ࡚ࠊᆅ⌫ᝨᫍ⛉Ꮫ◊✲㡿ᇦ࡟࠾ࡅࡿࣃࣛࢲ࢖࣒ࢩ
ࣇࢺࡸࣈ࣮ࣞࢡࢫ࣮ࣝࡶࡋࡃࡣⓎぢ࡞࡝ࢆ୰ᚰ࡟ࠊᆅ⌫ᝨᫍ⛉ᏛࡢⓎᒎ࡟ⴭࡋ࠸㈉⊩ࢆࡉࢀࡓඛ㐩ࠊࡲࡓ
᪥ᮏࡢᆅ⌫ᝨᫍ⛉ᏛࡢⓎᒎࡲࡓࡣᆅ⌫ᝨᫍ⛉Ꮫࡢ▱㆑ᬑཬ࡟㈉⊩ࡉࢀࡓ᪉ࠎࢆ㢧ᙲࡍࡿࡇ࡜ࢆ┠ⓗ࡜ࡋ࡚ࠊ
ึᅇࡢ ᖺᗘࡣ ྡࡢࣇ࢙࣮ࣟࡀ㑅ࡤࢀࡲࡋࡓࠋ
௨ୗ࡟ࠊ ᖺᗘබ┈♫ᅋἲே᪥ᮏᆅ⌫ᝨᫍ⛉Ꮫ㐃ྜ ࣇ࢙࣮ࣟᤵ㈹グᛕ≉㞟ྕ࡟ᥖ㍕ࡉࢀࡓᮌᮧ๪⌮
஦㛗ࡢᐤ✏グ஦ࢆ㌿㍕ࡋࡲࡍࠋ
䛣䛾䛯䜃᪥ᮏᆅ⌫ᝨᫍ⛉Ꮫ㐃ྜ-S*8䛾䝣䜵䝻䞊䛸䛧䛶ᐤ✏䛾ᶵ఍䜢୚䛘䜙䜜䛯䛾䛷䚸Ꮫ⾡᝟ሗ䛾ᅜ㝿බ㛤
䛻㛵㐃䛧䛯ヰ㢟䛸䚸䛣䛾㐃ྜ䛾ᙜึ䛾ᛮ䛔ฟ䛻㛵䛩䜛⊂❧䛧䛯஧䛴䛾ヰ㢟䜢䛤⤂௓䛥䛫䛶㡬䛟䛣䛸䛻䛧䛯䚹
⚾䛾◊✲⪅⏕ᾭ䛷Ᏹᐂ⛉Ꮫ㛵ಀ䛾◊✲άື䛿⛉Ꮫ⾨ᫍほ 䛻䜘䜛䜒䛾䜢ྵ䜑ከ᪉㠃䛻䜟䛯䜛䛜䚸䛭䛾䝞䝑䜽
䝪䞊䞁䛾୍䛴䛿 9/)㉸ప࿘Ἴᖏ㟁Ἴ䛾ᆅ⌫࿘㎶䝥䝷䝈䝬✵㛫ෆ䛷䛾ఏᦙ㏻㊰ィ⟬䠄䝺䜲䝖䝺䞊䝅䞁䜾䠅ἲ䛾㛤
Ⓨ䛸䛭䛾ά⏝䛷䛒䜛䚹ᩘ N+] 䜸䞊䝎䛾㟁Ἴ䛾䛣䛾㡿ᇦෆ䛾ఏᦙ䛿䚸ᆅ☢Ẽ䛾ᙳ㡪䜢ᙉ䛟ཷ䛡䜛䛾䛷䚸䝹䞊䝥≧䛻
䛺䛳䛶䛔䜛ᆅ⌫☢ሙ䛾ᙧ䛻኱䛝䛟౫Ꮡ䛩䜛䚹䛣䛾㏻㊰䛿䝥䝷䝈䝬䛾✵㛫ศᕸ䛸䚸ᆅ⌫☢ຊ⥺᪉ྥ䛸ᙉ䛥䜢Ỵ䜑䜛ゎ
ᯒⓗ䛺ᘧ䜢୚䛘䛶ఏᦙ㊰䚸ఏᦙ䝧䜽䝖䝹᪉ྥ䚸ཬ䜃ఏᦙ䛻せ䛩䜛᫬㛫䜢ィ⟬䛩䜛᪉ἲ䛷䛒䜛䚹䛩䛺䜟䛱㟁㞳ᒙୗ
㒊䛾ฟⓎⅬ䛛䜙䚸୚䛘䜙䜜䛯᪉ྥ䜢ึᮇ᮲௳䛸䛧䛶䝺䜲䝖䝺䞊䝅䞁䜾䛾ᘧ䜢㏲ḟᩘ್✚ศ䛩䜛䚹ᆅୖ㧗ᗘ 䟜
௨ୖ䛾㡿ᇦ䛾䜲䜸䞁䜢ྵ䜐䝥䝷䝈䝬ศᕸ䛿ᐃᖖⓗ䛻䛿ᣑᩓᖹ⾮䛺䛹䛾ゎᯒⓗ䛺ᩘᘧ䛷㏆ఝ䛥䜜䜛䛾䛷䚸䛣䜜䜙䜢
๓ᥦ䛸䛩䜜䜀㏻㊰䛿ẚ㍑ⓗ⡆༢䛻㏣㊧䛷䛝䜛䚹䛣䜜䜙䛾䝺䜲䝖䝺䞊䝅䞁䜾ᡭἲ䛿ᙜึ䛿୺䛸䛧䛶䝩䜲䝑䝇䝷䞊䛸䛔䛖䚸
㞾䛛䜙Ⓨ⏕䛩䜛㟁Ἴ⌧㇟䛾⌮ゎ䛻⏝䛔䜙䜜䛶䛝䛯䛜䚸ᡃ䛜ᅜ䛷䜒⛉Ꮫ⾨ᫍほ 䛜ᗈ䛟ά⏝䛥䜜䜛䜘䛖䛻䛺䜚䚸ᆅୖ
䛛䜙Ⓨᑕ䛥䜜䛯⯟ἲ⏝䛾㟁Ἴ䚸䛯䛸䛘䜀䜸䝯䜺ಙྕN+] ௜㏆䜢⛉Ꮫ⾨ᫍ䛒䛡䜌䛾䛻ᦚ㍕䛾ほ ჾ䛷ཷಙ䛧䚸
䛭䛾㟁Ἴ䛾㟁Ἴ※䛛䜙䛾ఏᦙ᫬㛫䛸ఏᦙ᪉ྥ䚸୪䜃䛻⾨ᫍ఩⨨䛷䛾㟁Ꮚᐦᗘ䜢⾨ᫍᦚ㍕ᶵჾ䛻䜘䜚 LQ VLWX 䛷
ᐃ䛩䜛䛣䛸䛜䛷䛝䛯䛾䛷䚸䝺䜲䝖䝺䞊䝅䞁䜾䛻䜘䜚ᚓ䜙䜜䛯䛣䜜䜙䛾᝟ሗ䛸୍⮴䛩䜛䜘䛖䛺䝥䝷䝈䝬ᐦᗘศᕸ䜢Ỵ
䜑䜛䛣䛸䛜䛷䛝䚸⾨ᫍ䛾༡໭ ᫬㛫䜋䛹䛾㌶㐨䛻ᑐᛂ䛧䛶䚸⾨ᫍ㌶㐨⤒ᗘ௜㏆䛾䝥䝷䝈䝬䛾䜾䝻䞊䝞䝹䛺ศᕸ䜢
䛭䛾䝍䜲䝮䝇䜿䞊䝹䛷ゎᯒ㛵ᩘ䛻䜘䛳䛶⾲⌧䛩䜛䛣䛸䛜ྍ⬟䛸䛺䛳䛯䚹
− 83 −
䛣䛾䜘䛖䛻ᡃ䚻䛾㛤Ⓨ䛧䛯䝋䝣䝖䛿䚸䝥䝷䝈䝬䛸ᆅ⌫☢ሙ䛾ᙳ㡪䛾䛒䜛✵㛫ෆ䛾㟁Ἴ䛾㏻㊰ィ⟬䛻ᗈ䛟౑⏝䛷䛝
䜛䜒䛾䛷䛒䜚䚸ᛂ⏝⠊ᅖ䛿ᗈ䛔䚹䛭䛾ཎ⌮䛾⌮ゎ䛿䛭䜜䜋䛹㞴䛧䛟䛿䛺䛔䛜䚸䝋䝣䝖䜴䜶䜰䛾㛤Ⓨ䛻䛿⤖ᵓ᫬㛫䜢
せ䛩䜛䚹୍᪉⛉Ꮫ⾨ᫍ䛷䛾ほ ᢏ⾡䛜⢭ᐦ䛻䛺䛳䛶䜖䛟䛾䛷䚸≉䛻ᆅ⌫࿘㎶䛾㉸ప࿘Ἴ䚸䛒䜛䛔䛿ᩘ MHz 䛾▷
Ἴᖏ㟁Ἴ䛾㟁㞳ᒙ䞉☢Ẽᅪෆ䛾ఏᦙ᝟ሗ䜢䚸⛉Ꮫ⾨ᫍほ 䛾⿵ຓᡭẁ䛸䛧䛶౑⏝䛩䜛ⱝ䛔◊✲⪅䛾䛯䜑䛻䚸䛭
䛾䝋䝣䝖䜴䜶䜰䜢ᅜ㝿බ㛤䛩䜛䛾䛿ព࿡䛜䛒䜛䛸ุ᩿䛧䛯䚹䜎䛯ᅜ㝿ⓗ䛺せㄳ䜒䛒䛳䛯䛾䛷䚸㔠ἑ኱Ꮫ䛾ᚋ⸨⏤㈗
෸ᩍᤵ䛾༠ຊ䜢ᚓ䛶 2010 ᖺ 3 ᭶䛛䜙㔠ἑ኱Ꮫ䛾䝃䞊䝞䞊䛛䜙䠄http://waves.is.t.kanazawa-u.ac.jp䠅䛾 URL
䛷ᅜ㝿බ㛤䜢䛧䛶㡬䛔䛯䚹䛭䛾ᚋ䛾䜰䜽䝉䝇≧ἣ䜢ぢ䛶䜏䜛䛸䚸ᅜෆ䛿䜒䛸䜘䜚䚸⡿ᅜ䚸ⱥᅜ䚸䝣䝷䞁䝇䚸䝗䜲䝒䚸䜹
䝘䝎䚸䜸䞊䝇䝖䝷䝸䜰䚸䝣䜱䞁䝷䞁䝗䚸䝧䝹䜼䞊䚸䜲䞁䝗䛺䛹䛾୺せ኱Ꮫ䚸◊✲ᶵ㛵䛛䜙䛾ከ䛟䛾䜰䜽䝉䝇䛜䛒䛳䛯䚹㏆
ᖺ䜲䞁䝍䞊䝛䝑䝖䛜඘ᐇ䛧䚸ᡃ䚻䛿⛉Ꮫᢏ⾡䛾⌧≧ᢕᥱ䛻䜒䚸䜎䛯᭱᪂䛾Ꮫ⾡ 䞉 ᢏ⾡᝟ሗ䜢ᚓ䜛ᡭẁ䛸䛧䛶䜒䜲䞁
䝍䞊䝛䝑䝖䛜኱䛔䛻ᙺ❧䛳䛶䛔䜛䚹୍᪉ JpGU 䛾Ꮫ⾡ㄅ䛜᭱㏆䜸䞊䝥䞁䜰䜽䝉䝇䝆䝱䞊䝘䝹䛸䛧䛶ฟ∧䛥䜜䛶䛔䜛
䛣䛸䛿ୖグ䛾ほⅬ䛛䜙䜒኱䛔䛻Ḽ㏄䛥䜜䜛䚹≉䛻ⱝ䛔◊✲⪅䛻䛸䛳䛶䛿䚸Ꮫ⾡ㄽᩥ䛜↓ᩱ䛷䜰䜽䝉䝇䛷䛝䜛䛣䛸䛿䚸
䝋䝣䝖䜴䜶䜰䛾ᅜ㝿බ㛤ྠᵝ኱ኚḼ㏄䛥䜜䜛䛣䛸䛷䛒䜛䚹
ᮏᖺ(2014) 5 ᭶䛻㛤ദ䛥䜜䛯 JpGU ⥲఍䛿๰タ 25 ࿘ᖺグᛕ䛾⥲఍䛷䛒䛳䛯䚹ᛮ䛔ฟ䛩䛸䚸⡿ᅜᆅ⌫≀⌮㐃
ྜ(AGU)䛾ㄏ䛔䛛䛡䛻䜘䜚䚸1990 ᖺ 8 ᭶䛻㔠ἑᕷ䛷 Western Pacific Geophysics Meeting (WPGM)䛾➨ 1
ᅇ䛜㛤ദ䛥䜜䛯䚹᪥ᮏ䛾Ꮫ⏺䛿 AGU 䛸␗䛺䜚䚸1989 ᖺ௨๓䛿䚸ྛศ㔝䛾Ꮫ఍䛜⊂⮬䛻άື䛧䛶䛔䛶᫓⛅䛾ㅮ
₇఍䜒䛭䜜䛮䜜⊂❧䛻㛤ദ䛧䛶䛔䛯䛾䛷䚸⡿ᅜ䛾䜘䛖䛻䛭䜜䜙䛾Ꮫ఍䛜୍䛴䛻䛺䛳䛶άື䛩䜛䛣䛸䛾䝯䝸䝑䝖䛿ㄆ
㆑䛥䜜䛶䛚䜚䚸Ꮫ఍㐃ྜ䛾䛯䜑䛾௦⾲⪅䛾఍ྜ䛿䜒䛯䜜䛶䛔䛯䚹
➹⪅䛿䚸ᙜ᫬ᆅ⌫㟁☢Ẽ䞉ᆅ⌫ᝨᫍᅪᏛ఍䠄SGEPSS䠅䛾఍㛗䜢ົ䜑䛶䛔䛯䛜䚸ୖグ䛾㔠ἑ䛾ᅜ㝿఍㆟䛾 4 ᖺ
䜋䛹๓䛛䜙䚸ᙜᏛ఍㛵㐃䛾⡿ᅜ䛾䝻䞊䝕䝷䞊Ặ䜔䚸AGU 䛾஦ົᒁ㛗䝇䝢䝹䝝䜴䝇Ặ䛛䜙䛾䝁䞁䝍䜽䝖䛜䛒䜚䚸᪥ᮏ
䜢ྵ䜐すኴᖹὒἢᓊㅖᅜ䜢ᑐ㇟䛻䛧䛯 AGU 䝭䞊䝔䜱䞁䜾(WPGM)䜢᪥ᮏ䛷㛤ദ䛷䛝䛺䛔䛛䛸䛔䛖ᡴデ䛜䛒䛳䛯䚹
ᙜ᫬䛿⡿ᅜ AGU 䛾䜰䝆䜰ㅖᅜ䜈䛾ാ䛝䛛䛡䛻ᑐ䛧䛶䛿䚸AGU 䛾ぞᶒ䜢䚸᪥ᮏ䜢ྵ䜐すኴᖹὒᆅᇦ䛻䜎䛷ᗈ䛢
䜘䛖䛸䛩䜛ពᅗ䛷䛾௻⏬䛷䛒䜚䚸ᡃ䛜ᅜ䛾㛵㐃Ꮫ఍䛷䛿䛭䜜䜢Ḽ㏄䛧䛺䛔䛸䛔䛖ពぢ䛜ᙉ䛛䛳䛯䚹SGEPSS 䛾㐠
Ⴀጤဨ఍䛷䛿䚸⡿ᅜ䛛䜙䛾ᥦ᱌䛜䜐䛧䜝Ꮫ఍㐃ྜ᥎㐍䛾㊊䛜䛛䜚䛸䛺䜛䛸⪃䛘䚸AGU ୺ദ䛾䝅䞁䝫䝆䜴䝮䜢᪥ᮏ
䛷㛤ദ䛩䜛䛸䛔䛖䛾䛷䛿䛺䛟䚸᪥ᮏ䛾㛵㐃Ꮫ఍䛜⡿ᅜ䛸ᑐ➼䛾୺ദ⪅䛸䛺䜛䛸䛔䛖❧ሙ䛷㛤ദ䛩䜛ጼໃ䜢㈏䛝䚸䜎
䛯ᮏᏛ఍䛜ᅜෆ䛾௚䛾Ꮫ఍䜢≌ᘬ䛩䜛ᙧ䛷䚸✚ᴟⓗ䛻 AGU 䜈䛾༠ຊጼໃ䜢ฟ䛩䜉䛝䛷䛒䜛䛸䛔䛖⤖ㄽ䜢ฟ䛧䚸
ྠᏛ఍䛾⥲఍䛷䜒ᢎㄆ䛥䜜䛯䚹䛭䛾ᚋ㛤ദೃ⿵ᆅ䛸䛧䛶㔠ἑᕷ䛜Ⰻ䛔䛸䛔䛖䛣䛸䜒䜟䛛䜚䚸AGU 䛿䛣䜜䜙䛾⥲ྜ᱌
䜢஢ᢎ䛧䛶䚸1989 ᖺ 3 ᭶䛻ṇᘧ䛻᪥ᮏ䛾ᆅ⌫≀⌮㛵㐃Ꮫ఍䛻ඹྠ㛤ദ䜢⏦䛧ධ䜜䛶䛝䛯䚹䛭䛾⤖ᯝ᪥ᮏഃ䛿䚸
ᡃ䚻䛾Ꮫ఍䠄SGEPSS)䛾䜋䛛䛻ᆅ⌫໬Ꮫ䚸 ᆅ䚸ᆅ㉁䚸Ẽ㇟䚸ᾏὒ䚸ᆅ㟈䚸ⅆᒣ䚸㝣Ỉ㛵ಀᏛ఍䛾㈶ྠ䛜ᚓ䜙䜜䚸
ྠᖺ 4 ᭶䚸AGU 䛸᪥ᮏ䛾ィ 9 Ꮫ఍䛛䜙䛾௦⾲䛻䜘䜛⤌⧊ጤဨ఍䛜㛤ദ䛥䜜䛯䚹䜎䛯㛵㐃䛧䛶⩣ 1990 ᖺ 4 ᭶䛾
Ꮫ఍䜢ᆅ⌫໬Ꮫ䚸 ᆅ䚸ᆅ㟈䚸ⅆᒣ䚸SGEPSS 䛾 5 Ꮫ఍䛾ྜྠ㛤ദ䛸䛩䜛䛣䛸䜒Ỵᐃ䛥䜜䛯䚹1990 ᖺ 8 ᭶䛻㛤
ദ䛥䜜䛯㔠ἑᕷ䛷䛾 WPGM 䛿䚸ୖグ䛾ᅜෆᏛ఍䛾䛤ᨭ᥼䛜ᐇ䜚䚸1077 ྡ(ෆ䚸ᅜእ 225 ྡ)䛾ཧຍ䜢ᚓ䚸ᡂຌ
⿬䛻㛤ദ䛥䜜䛯䚹䛣䛾ᖺ䛾 4 ᭶䛻ጞ䜎䛳䛯๓グ䛾 5 Ꮫ఍䛻䜘䜛ᮾிᕤ኱䛷䛾ྜྠ㛤ദ䛜䚸䠐༙ୡ⣖䛾㛫䛻ᅜෆ䛾
50 䛾Ꮫ༠఍䛛䜙䛺䜛኱㐃ྜయ䛻Ⓨᒎ䛩䜛䛸䛿䛹䛺䛯䜒ண 䛷䛝䛺䛛䛳䛯䛸ᛮ䜟䜜䜛䚹䛣䛾⣲ᬕ䜙䛧䛟ᡂ㛗䛧䛯㐃ྜ
䛜ᡃ䛜ᅜ䛾䜏䛺䜙䛪ୡ⏺䛾䛣䛾ศ㔝䛾Ꮫ⾡ྥୖⓎᒎ䛾䛯䜑䛻䜒኱䛔䛻㈉⊩䛷䛝䜛䛣䛸䜢♳ᛕ䛧䛶䛔䜛䚹
ᙜึ䛾᪉ྥ䛵䛡䛿䚸๓グ䛾ㅖᏛ఍䛾ᙉ䛔䛤༠ຊ䛻䜘䛳䛯䛣䛸䛿໚ㄽ䛷䛒䜛䛜䚸SGEPSS Ꮫ఍఍ဨ䛸䛧䛶ດຊ䛥
䜜䛯ᮏⶶ⩏Ᏺ఍ဨ䚸ཬ䜃 WPGM 㔠ἑ㛤ദ䛾Ⓨ᱌䛸఍㆟䛾ᡂຌ䛻㈉⊩䛥䜜䛯㔠ἑ኱䛾㛗㔝ຬ఍ဨ䛾䛤㈉⊩䛻
㈇䛖䛸䛣䜝䛜኱ኚ኱䛝䛔䚹䛣䜜䜙䛾⤒⦋䛾ヲ⣽䛿 SGEPSS 䛾఍ሗ 191 ྕ䠄2007 ᖺ 4 ᭶䠅䛻䜒ᥖ㍕䛥䜜䛶䛔䜛䚹
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