wpt © « ¸ Ò > e ¹ ú þ q4: ì b è0¦cs/wpt/paper/wpt2013-13.pdf · transmission property...

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⯡♫ᅋἲே 㟁Ꮚሗ㏻ಙᏛ ಙᏛᢏሗ THE INSTITUTE OF ELECTRONICS, IEICE Technical Report INFORMATION AND COMMUNICATION ENGINEER6 :37 This article is a technical report without peer review, and its polished and/or extended version may be published elsewhere. WPT ࢸࢫࢩࡅ࠾ඹჾ㐺⃝ཎ 1 ▼ᓮ ಇ㞝 2 ⢖㑳㞝 3 㱟㇂Ꮫ⌮ᕤᏛ◊✲⛉ 520-2194 ㈡┴ὠᕷ℩⏣Ụ⏫ᶓ㇂ 1-5 ᘧ♫520-2194 ㈡┴ὠᕷ℩⏣Ụ⏫ᶓ㇂ 1-5 㱟㇂Ꮫ REC E-mail: 1 [email protected], 2 [email protected] 3. [email protected] WPT ࢸࢫࢩఏ㏦≉ᛶᨵၿ↓ࡣ㈇Ⲵ Q(Qu)⤖ࠊ(k)≉ᛶࡏࡉᚲせ࠶ࡀ↓㈇Ⲵ Q ࢥࡣ⥺㛫㏆᥋ຠᯝㄏ㟁యእ㒊ධㄏ㟁యᦆኻ≉ᛶ ࡇࠋ↓㈇Ⲵ Q ┠ᣦࠊࡋᨵၿࠋࡓࡁ3 ✀㢮ඹჾᵓ 㐀⏝≉ᛶẚ㍑ࠊࡋእ㒊ᙳ㡪ᑐ⪏ᛶ┤⤖≉ᛶウ ࢫࢩ≉ᛶウ⾜ ࠋࡓࡗඹჾඹჾඹჾㄏ㟁య ⤖┤ࠊStudy of resonator optimization in a WPT system Yuichi SAWAHARA 1 Toshio ISHIZAKI 2 Ikuo AWAI 3 Faculty of Science & Technology, Ryukoku Univ., 1-5 Yokotani, Seta Oe-cho, Otsu, Shiga Pref. 520-2194 Japan E-mail: 1 [email protected], 2 [email protected], 3 [email protected] Abstract It is necessary to improve the characteristics of unloaded Q (Qu) and coupling coefficient (k) to improve the transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity effect between the coil wires and dielectric loss of the surrounding dielectric materials entering from the outside. We have tried various loop structures with the aim to improve the unloaded Q so far. Now we compare the characteristics of each resonator structure of three proposed types. And, we will investigate system characteristics to improve them further including the direct connection characteristics and tolerance to external influences. Keyword 1-layered coil resonator, 2-layeded coil resonators, open spiral resonator, dielectric material, direct connection 1. ࡁࡀ࠼ ࡁࡀ࠼ ࡁࡀ࠼ ࡁࡀ࠼⤖ඹჾᆺ↓⥺㟁ຊఏ㏦ ࢸࢫࢩ ࠊࡣ㟁☢ㄏᑟ᪉ ᘧẚ㐲 ࢥࠊࡃ┤ᚄ 2 3 ㊥㞳 పᦆኻ㟁ຊఏ㏦ ࡀࡢ≉ᚩ ࠊࡓඹჾ ↓ࡢ㈇Ⲵ Q(Q u ) ⤖ಀ ( k ) ࡀ✚ࡢ ࠸ࡁఏ㏦ຠ⋡ ࡇ࠸ ▱ࡀ ࢸࢫࢩࠊࡋᵓ⠏ ඹჾ ⤖ࡢ㛫ෆ␗≀ ࡓࡗ ≀㉁ ⤥㟁 ࡓࡋ ሙ⪃ ࡢ ࡑࠊᙳ㡪 Q u పୗᑐ 㓄៖ ࠸࡞ ඹჾ㛫㊥㞳㏆ ࡋࡃࡁຠ⋡ ࠸࡞ࡋ ⤖࠺࠸⬟ᛶ ࠶ࡀ ࢢࡢࠎ ᖹ㠃ⓗ ຠ⋡ ࢫ࠸ ඹჾ ⓗ⤠ ࡢࡑᨵၿ⾜ ࠋࡓࡁ ↓ࠊࡤ࠼㈇Ⲵ Q ┠ᣦ ࢫࠊࡋඹჾບ ࠊࡣ㔠ᒓయ ⾲ࡢ㠃ὶ 㟁ὶ ᢠᦆῶ ࡓࡍᑟయ┤ᚄ 㖡⨨ ↓ࠊ㈇Ⲵ Q ᨵၿ ࡓࡋ[1] ࡇࠊࡋ ඹჾ⮬㌟ ᵓᡂ ⣔⤫ⓗ ࡗ⾜ࡣ ࠋ࠸࡞࠸ ࢫࡣ ඹჾ 3 ✀㢮 ඹჾᵓᡂἲ⏝ ẚ㍑ウ ࢸࢫࢩタィ ࢸࢫࢩ≉ᛶ ㈨ᩱస ᡂ⾜ ࡋࡑࠋ࠺ ඹჾᅇ㊰᥋⥆ ᪉ἲ 㛫᥋ⓗ⾜ ┤ࠊ᥋᥋ ࡓࡋ⥆ඹჾ≉ᛶ ኚほ  2. ඹჾᵓᡂ ඹჾᵓᡂ ඹჾᵓᡂ ඹჾᵓᡂ ẚ㍑⏝ ඹჾᵓᡂᅗ 1 ࠊࡋ ࠸ࡘ ࡢࡑࠋᖹ➼ ẚ㍑⾜ ᵓᡂἲ ⤫ࡢ᮲௳ ඹ࿘Ἴ 2.3MHz ┤ࡢ30cm ⥺ࠊ1mm 1(a) ඹჾ ࢥࠊࡧ ࡎࡏ⥺㛫 ᐤ⏕ᐜ㔞 ⮬ࡢ ࢱࢡࢲ ⮬ᕫඹ⏝ ࡓ࠸ඹჾ 1(b) ඹჾ ࠊࡧ1 ࢫࡢࡘ ࡓࡋඹჾ 1(c) ඹჾ ࠊࡧ2 ࢫࡢࡘ - 7-

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Page 1: WPT © « ¸ Ò > E ¹ ú þ q4: ì b è0¦cs/wpt/paper/WPT2013-13.pdf · transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity

⯡♫ᅋἲே 㟁Ꮚሗ㏻ಙᏛ ಙᏛᢏሗ THE INSTITUTE OF ELECTRONICS,� � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � IEICE Technical Report� INFORMATION AND COMMUNICATION ENGINEER6��������������������������������������������������������������������������������������������������:37����������������

This article is a technical report without peer review, and its polished and/or extended version may be published elsewhere.

WPT ウࡢඹჾ㐺ࡅ࠾ࢸࢫࢩ⃝ཎ� ⿱ 1 ▼ᓮ� ಇ㞝 2 ⢖㑳㞝 3

㱟㇂Ꮫ⌮ᕤᏛ◊✲⛉ 520-2194 ㈡┴ὠᕷ℩⏣Ụ⏫ᶓ㇂ 1-5 ᰴᘧ♫2194-520 ࢡࢸ ㈡┴ὠᕷ℩⏣Ụ⏫ᶓ㇂ 1-5 㱟㇂Ꮫ REC

E-mail: 1 [email protected], 2 [email protected] 3. [email protected]

WPT ࡋ࠶ࡋ࠶ࡋ࠶ࡋ࠶ ㈇Ⲵ↓ࡣࡍᨵၿఏ㏦≉ᛶࡢࢸࢫࢩ Q(Qu)ࠊ⤖ಀ(k)ࡢ≉ᛶࡏࡉᚲせࠋ࠶ࡀ

↓㈇ⲴQࢥࡣ⥺㛫ࡢ㏆᥋ຠᯝㄏ㟁యࡀእ㒊ධࡇࡍㄏ㟁యᦆኻ࡞≉ᛶࡀຎࡍ

㈇Ⲵ↓ࡇࠋ࠼⪄ࡀࡇ Q ࡣᅇࠋࡓࡁࡗ⾜࡞ᨵၿࡢࠊࡋᣦ┠ࡢ 3 ✀㢮ࡢඹჾᵓ

㐀ࡢࡒࡑ࠸⏝≉ᛶẚ㍑ࠊࡋእ㒊ࡢᙳ㡪ᑐࡍ⪏ᛶ┤⤖≉ᛶウࡇࡍ᭦ࢫࢩ࡞

ࠋࡓࡗ⾜ウࡅᛶ≉ࢸ ⤖┤ࠊㄏ㟁యࠊඹჾࢫࠊඹჾࢥ㔜ࠊඹჾࢥ㔜 ࢻࢻࢻࢻ

Study of resonator optimization in a WPT system Yuichi SAWAHARA1 Toshio ISHIZAKI2 Ikuo AWAI3

Faculty of Science & Technology, Ryukoku Univ., 1-5 Yokotani, Seta Oe-cho, Otsu, Shiga Pref. 520-2194 Japan E-mail: 1 [email protected], 2 [email protected], 3 [email protected]

Abstract It is necessary to improve the characteristics of unloaded Q (Qu) and coupling coefficient (k) to improve the transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity effect between the coil wires and dielectric loss of the surrounding dielectric materials entering from the outside. We have tried various loop structures with the aim to improve the unloaded Q so far. Now we compare the characteristics of each resonator structure of three proposed types. And, we will investigate system characteristics to improve them further including the direct connection characteristics and tolerance to external influences.

Keyword 1-layered coil resonator, 2-layeded coil resonators, open spiral resonator, dielectric material, direct connection

ࡁࡀ࠼ࡁࡀ࠼ࡁࡀ࠼ࡁࡀ࠼ .1 ⤖ඹჾᆺ↓⥺㟁ຊఏ㏦ࠊࡣࢸࢫࢩ㟁☢ㄏᑟ᪉

ᘧẚ㐲ࢥࠊࡃ┤ᚄࡢ⣙ 2㹼3 ಸࡢ㊥㞳

పᦆኻ㟁ຊఏ㏦ࡀࡢࡁ≉ᚩࠊࡓࠋ࠶⏝

㈇Ⲵ↓ࡢඹჾࡍ Q(Qu)⤖ಀ (k)ࡀ✚ࡢ࠸ࡁ

�ࠋ࠸▱ࡀࡇ࠸㧗ࡀ⋠ఏ㏦ຠ � � � � � ✵⤖ࡢඹჾࡣ㝿ࡢᵓ⠏ࢸࢫࢩࠊࡋࡋ

㛫ෆࡀ≀␗ධࠊࡓࡗࡋࡗఱࡢ≀㉁ࡋ

⤥㟁ࡍࡓࡋሙࡢࡑࠊ࠼⪄ᙳ㡪 Qu㏆ඹჾ㛫㊥㞳ࠊ࠸࡞㊊ࡀ㓄៖ࡍᑐపୗࡢ

ᯝ⤖࠺࠸࠸࡞ࡋࡀ⋠ຠࡋࡃࡁ㹩ࡅ

ࠋ࠶ࡀᛶ⬟ࡃᣍ ࡓ࠶ᖹ㠃ⓗࡣࢢࡢࠎᡃࡇ

ඹჾࢥࢫ࠸㧗ࡢ⋠ຠࢫࢫ

ⓗࡢࡑࡗ⤠ᨵၿࠋࡓࡁࡗ⾜ࠊࡤ࠼↓㈇Ⲵ Qࡓࡍບඹჾࢫࠊࡋᣦ┠ࡢ

ὶ㠃⾲ࡢ㔠ᒓయࠊࡣሙ࠸⏝ࢥ

ࡢᚄ┤ᑟయࡓࡍῶᢠᦆࡢ㟁ὶ

ኴ࠸㖡ࡁ⨨ࠊࡇ࠼↓㈇Ⲵ Q ࡀ

ᨵၿࡓࡋ♧ࡇࡉ ࠋ[1]

ᵓᡂࡢඹჾ⮬㌟ࢫࡇࠊࡋࡋ

㛵ࡍ⣔⤫ⓗ࡞ウࠋ࠸࡞࠸ࡗ⾜ࡣᅇࢫࡣ

ඹჾ 3 ✀㢮ࡢඹჾᵓᡂἲ࠸⏝ẚ㍑ウࡍ

㈨ᩱసࡢᛶ≉ࢸࢫࢩタィࢸࢫࢩࡇ

ᡂࡉࡋࡑࠋ࠺⾜ඹჾᅇ㊰᥋⥆ࡍ᪉ἲ

᥋᥋┤ࠊሙ࠺⾜㛫᥋ⓗ࠸⏝ࠊࡋ

ࠋࡍ ほኚࡢඹჾ≉ᛶࡢሙࡓࡋ⥆

2. ඹჾᵓᡂඹჾᵓᡂඹჾᵓᡂඹჾᵓᡂ ᅗඹჾᵓᡂࡍ⏝ẚ㍑ࡢᅇࡎ 1 ࠊࡋ♧

࠺⾜ẚ㍑࡞➼ᖹࠊ㝿ࡢࡑࠋࡍㄝ࠸ࡘࡑ

ࡣඹ࿘Ἴࡋ௳᮲⤫ࡢᵓᡂἲࡓ 2.3MHzࠊࡣᚄ┤ࡢࢥࢫ 30cmࠊ⥺ᚄࡣ 1mm ࡋ

ࠋ࠸ ᅗ 1(a)ࢫࡣඹჾࢹࢥࠊࡧ

ᕫ⮬ࡢࢥᐤ⏕ᐜ㔞ࡢ㛫⥺ࡎࡏⲴࢧ

ᅗࠋ࠶ඹჾࡓ࠸⏝ᕫඹ⮬ࢫࢱࢡࢲ

1(b)ࡣ㔜ࢥඹჾ1ࠊࡧ ࢥࢫࡢࡘ

ᅗࠋ࠶ඹჾࡓࡋⲴࢧࢹࢥ 1(c)ࡣ

㔜ࢥඹჾ2ࠊࡧ ┤ࢥࢫࡢࡘ

-7-

Page 2: WPT © « ¸ Ò > E ¹ ú þ q4: ì b è0¦cs/wpt/paper/WPT2013-13.pdf · transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity

᥋⥆ࢧࢹࢥࡋⲴࡓࡋඹჾ࠶ ࠋ[2] ࡣඹჾࢥ㔜ࠊ࠾࡞ 2 ࢥࢫࡢࡘ

ࡢࢥࡓࡍ⏕Ⓨࡀ⏺☢㟁ࢥࡢࡒࡑࡢ

ᕳࡃ᪉ࡗ㐪࠺≉ᛶࠋ࡞ࡇࡍ♧ᅇࡣ

☢⏺ᡂศࡀᡴࡕᾘ࠺࠸࡞ࡋ᪉ᕳࢥࡓ࠸

➃ࠊ୰ᚰኈࡋ⨨㓄࠺ࡏ࠸

ኈ᥋⥆ࢥࠊࡓࠋࡓࡋ㛫㝸 (r)ࢥࡗ

㛫ᐜ㔞ࡀኚࡓඹჾ≉ᛶࡀኚࠋ࡞ࡇ

ᅗ 1. ඹჾᵓᡂᅗ

3.  ᐃᵓᡂ ᐃᵓᡂ ᐃᵓᡂ ᐃᵓᡂ ḟ ᐃ㡯┠ࡢࡒࡑ㓄⨨ᵓᡂ࠸ࡘ

ㄝࠊࡎࠋࡍ↓㈇Ⲵ Q ࠺⾜ᐃ ࡢࡎ࿘Ἴ

㝿ࡣᅗ 2(a)࡞࠺ࡢ㓄⨨ ᐃࠋ࠺⾜㏆᥋ㄏ㟁య

ࢺࡓࡗධࡢỈ㐨Ỉࡓࡍㄆ☜ᛶ⪏ࡍᑐ

ࢺ 10mm 㞳ࡓ⨨ࡢࡑࠊࡁ⨨᭷↓≉

ᛶẚ㍑ࡢࡑࠋ࠺⾜㝿ࡢࢺࢺࡓ࠸⏝ᑍἲࡣ

ᅗ 3 ࡞࠺ࡍ♧ 2 MHࠋ࠶ࡢࡢࢬࢧࢺ㹸ࡢ࿘ἼࡣỈ㐨Ỉࡢẚㄏ㟁⋡ࡣ ࡣ⋠ᑟ㟁ࠊ80

0.01-0.02S/m ࠶ ࠶ᦆኻㄏ㟁యࡇࠋ[3]

Ỉඹჾࡢᙳ㡪 ᐃ࡞ࠋࡁࡀࡇࡍ

ࡣඹჾ࠺࠸࡞ࡅᙳ㡪ࠊ࠾

ࠋ࠸ࡋ⤖ࡋ㞳༑ศ

(a) ඹჾ≉ᛶ ᐃ� � � (b) ࢸࢫࢩ≉ᛶ ᐃ

ᅗ 2.  ᐃᵓ㐀ᅗ

ᅗ ᑍἲࢺࢺ .3

ḟ⤖ಀ ᐃࡍ㝿ࡣᅗ 2(b)࡞࠺ࡢ㓄⨨

ᐇ㦂ࠋࡓࡗ⾜ඹჾ㛫㊥㞳ኚ᭦ࡋ ᐃࡗ⾜

ඹࢥ㔜ඹჾࢫࠊ࠾

ჾࢫࡣ㠃㛫ࡢ㊥㞳ࡢࡑඹჾ㛫㊥㞳

ࢫࡢෆഃࡢ㛫✵⤖ࡣඹჾࢥ㔜ࠋࡍ

ඹჾ㛫㊥㞳㊥㞳ࡢኈ d ࠋ࠺⾜ᐃ ࡋࡗ࡞⾜ࡋࡣᐃ ࡢࡍࡣࡇࡇ

⥆᥋᥋ᅇ㊰┤ඹჾᚋࠋࡍ⛠⥆㛫᥋᥋࠾

ࡍ↷ẚ㍑ᑐ᥋᥋⥆ἲ┤ࡍ

4. 㔜ඹჾ㔜ඹჾ㔜ඹჾ㔜ඹჾ ඹჾࡢస㟁⏺୰ㄏ㟁యࡀᏑᅾࡍඹ࿘

Ἴࡀప࿘Ἴഃࡓࡢࡑࠋ࠺ࡋࡎඹჾ

ప࿘Ἴࡀඹ࿘Ἴࡃࡁ࠸ከࡀ㟁⏺₃ࡢ

ኚࠊࡋタィࡀࢸࢫࢩࡓࡋඖࡢస࿘Ἴእ

࠺࠸࡞₃ࡀ⏺㟁ࡇࡑࠋ࠶ࡀᛶ⬟࠺ࡋ

ቑࢠ⏺㟁࠼ࡀࢧࢹࢥࠊࡣࡍ

ࠋ࠸Ⰻࡤࡏቑᐜ㔞ࢧࢹࢥࡓࡍ ᅗ 4 ࠸࡞ᑡࡀࡁᕳࢥࢫ

ࡓࡘಖᐃඹ࿘Ἴࠊ࡞ࡃࡉᑠࡀࢫࢱࢡࢲ

ඹࠊࡢ࡞ᚲせࡀᐜ㔞ࢧࢹࢥ࠸ࡁࡣ

ჾࡀㄏ㟁యࡢᙳ㡪ࠋ࠼⪄࡞ࡃࡃࡅ 

ᐃ⤖ᯝぢࠊண㏻ᕳࡀࡁᑡ࠸࡞࿘Ἴ

ኚࡀᑠࡀࡇ࠸ࡗ࡞ࡃࡉᅗ 5 ࡞ࠋ

ࡁᕳࠊ࠾ 100 ࡣࢥࡣ 2.3MHz ⮬ᕫඹࠊࡋ

እࡅᐜ㔞ࡣせࢫඹჾࠋ࡞ ᅗ ࡅእࢫࢱࢡࢲᕫ⮬ࡢࢥ .4

㛵ಀࡢࢫࢱࢩ

ᅗ 5. Ỉ࿘Ἴኚ

㻝㻙㼘㼍㼥㼑㼞㼑㼐㼏㼛㼕㼘㻌㼞㼑㼟㼛㼚㼍㼠㼛㼞

(b)(a) 㻞㻙㼘㼍㼥㼑㼞㼑㼐㼏㼛㼕㼘㻌㼞㼑㼟㼛㼚㼍㼠㼛㼞

(c)㼛㼜㼑㼚㻌㼟㼜㼕㼞㼍㼘㼞㼑㼟㼛㼚㼍㼠㼛㼞

r

㻝㻙㼘㼍㼥㼑㼞㼑㼐㼏㼛㼕㼘㻌㼞㼑㼟㼛㼚㼍㼠㼛㼞

(b)(a) 㻞㻙㼘㼍㼥㼑㼞㼑㼐㼏㼛㼕㼘㻌㼞㼑㼟㼛㼚㼍㼠㼛㼞

(c)㼛㼜㼑㼚㻌㼟㼜㼕㼞㼍㼘㼞㼑㼟㼛㼚㼍㼠㼛㼞

㻝㻙㼘㼍㼥㼑㼞㼑㼐㼏㼛㼕㼘㻌㼞㼑㼟㼛㼚㼍㼠㼛㼞

(b)(a) 㻞㻙㼘㼍㼥㼑㼞㼑㼐㼏㼛㼕㼘㻌㼞㼑㼟㼛㼚㼍㼠㼛㼞

(c)㼛㼜㼑㼚㻌㼟㼜㼕㼞㼍㼘㼞㼑㼟㼛㼚㼍㼠㼛㼞

r

d

resonator

d

resonator

23cm

9.5cm10cm

7cm

23cm

9.5cm10cm

7cm

㻝㻜

㻝㻜㻜

㻝㻜㻜㻜

㻝㻜㻜㻜㻜

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜 㻢㻜 㻣㻜 㻤㻜 㻥㻜 㻝㻜㻜

㻺㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㻯㼍㼜㼍㼏㼕㼠㼍㼚㼏㼑㻌㻔㼜㻲㻕

㻝㻜

㻝㻜㻜

㻝㻜㻜㻜

㻵㼚㼐㼡㼏㼠㼍㼚㼏㼑㻌㻔䃛㻴㻕

㻯㼍㼜㼍㼏㼕㼠㼍㼚㼏㼑

㻵㼚㼐㼡㼏㼠㼍㼚㼏㼑㻌

䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹

㻡㻜

㻝㻜㻜

㻝㻡㻜

㻞㻜㻜

㻞㻡㻜

㻟㻜㻜

㻜 㻞㻜 㻠㻜 㻢㻜 㻤㻜 㻝㻜㻜

㼚㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㻲㼞㼑㼝㼡㼑㼚㼏㼥㻌㼟㼔㼕㼒㼠㻌㻔㼗㻴㼦㻕 䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹

resonator

10mm

resonator

10mm

-8-

Page 3: WPT © « ¸ Ò > E ¹ ú þ q4: ì b è0¦cs/wpt/paper/WPT2013-13.pdf · transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity

ᅗ 4 ࡢ LC ࢲᛶ≉ࡢඹჾࡣᖹ᪉᰿ࡢẚࡢ

ࡗࡇ࠼ኚࡁᕳࡢࢥࠊࡤࢫ

100 ಸࡢ⠊ᅖኚࡀࡇ࠸ࡋศࡢࡇࠋ

ࠊ࠶㔞࡞ᚲせࡓࡏࡉ㈇Ⲵඹჾࡣ

ࡁᑐᛂ㈇Ⲵ࡞ࠎᵝࡣࡇ࠸ࡁࡀㄪ⠊ᅖࡢࡇ

ࠋ࠸ࡋ၀♧ࡇ

ᅗ 6. Ỉ↓㈇Ⲵ Q ຎࡢ

ᅗ 7.↓㈇Ⲵ Q ຎẚࡢ

ḟ↓㈇Ⲵ Q ㄪ౫Ꮡᛶࡢࡁᕳࢥࡢ

㈇Ⲵ↓ࡍቑࡁᕳࡤᅗ㸴ࠋ࠺ Q ࡀ

㧗ࠊࡀ࡞ࡃቑࡂࡍࡋࡗ Q ࠸ࡗࡀୗࡀ

ࡣࢫࢱࢡࢲࡗቑຍࡁᕳࡣ⏤⌮ࡢࡑࠋ

⥺ᢠᛴ㏿ቑࡓ࠼ᙜࡣ Q ࠊࡀࡍቑࡀ

ᕳࡁቑຍకࡀ⥺ࢫ࠸ᐦ╔ࡋ⥺㛫ࡢ㏆᥋ຠ

ᯝࡀᙳ㡪ࡋᢠቑຍࡀ㉳ࠊࡓࡇ㐺࡞ᕳࡀࡁ

Ꮡᅾࡍࠋ࡞ ᭦ᅗ 6 Ỉࡓࡋ᥋㏆࠼ቑࡀࡁᕳࠊ

㈇Ⲵ↓ Q ㄞࡇ࠸ࡗ࡞ࡃࡁࡀຎࡢ

ࢫࡋᴟ㝈ࡢቑຍࡁᕳࠊࡁࡀࡇ

⥺ᘏ㛗ࡢඹჾࢥ㔜ࡣᛶ≉ࡢඹჾ

㈇Ⲵ↓ࠊࡗ࠶ Q ࠋࡀ࠸ࡋࡀపୗࡢ

㔜ࢥඹჾࡢỈᑐࡍ⪏ᛶࠊࡣ࿘Ἴࡢኚ

ᵝᕳࡢࡁቑຍకࡗእࡅᐜ㔞ࡀῶ⤖ᯝ

㈇Ⲵ↓ࡋ Q ᅗࠊࡓ࠸ࡗ࡞ࡃࡁࡀῶᑡࡢ 7

ඹჾ↓㈇Ⲵᙳ㡪ࡢỈ࠺ࡢ Q ඹࡢẼ୰✵

ჾ↓㈇Ⲵ Q ࠊẚ⋡♧ࠋࡃࡇࡍ ➨ 3 ᅗࡣࡋ㛵ಀ⤖ 8 ࡁᕳࠊ࠾ࡋ♧

ࡁᕳࡣࡇࠋ࠸ࡋቑຍࡀಀ⤖࠸ከࡀ

ࡀ⤖⏺☢ࡓ࠼ቑࡀࢫࢱࢡࢲࡍቑ

ቑຍࡍඹࠊእࡅᐜ㔞ࡢῶᑡ₃ࡗ㟁⏺

⤖ࡋయࠊࡓࡍቑຍࡀ⤖⏺㟁ࡋቑຍࡀ

ಀࡀቑຍࢸࢫࢩࠊࡘࠋ࠼⪄ࡓࡓࡋ

タィ㔜せ࡞⤖ಀ k ㈇Ⲵ↓ Q ࿘Ἴኚ

ࡍ⏝ࡣࡁᕳࡢ࠶㛵ಀࡢࢻࢺࡣ

┠ⓗᛂࡓࡌ㐺ⅬࡀᏑᅾࠋ࡞ࡇࡍ

ᅗ 8. ⤖ಀ

ᙳࡢㄏ㟁యࡍ㏆᥋ࡣඹჾࢫ

㡪ࡓ࠸ࡍࡅඹ࿘Ἴࠊ↓㈇Ⲵ Q ࡀኚࡢ

࠺࠸࠸ࡁḞⅬᣢࠊࡀࡘ☢Ẽ⤖ /㟁Ẽ⤖ࡢ༠ㄪ

స⏝ࡗ⤖ಀࡀᅗ 1 ࡢ 3 ඹჾࡢ୰

ࡇࡁࡍ➹≉᭦ࠋ࠸ࡗᣢ㛗≉࠺࠸࠶

࠸࠼ඹჾ㏆ഐࡀࢠ⏺㟁ࠊࡣ

⏝ບࡢࢱࢡࢫࢹࡓࡋ㛤Ⓨࡢࠎᡃࠊࡓ

࠶Ⅼ࠺࠸࠶㐺ࡢ࠸⏝ࡋ ࠋ[4]

5. 㔜ඹჾ㔜ඹჾ㔜ඹჾ㔜ඹჾ 㔜ࢥඹჾࡀ㔜ࢥඹჾ࡞␗Ⅼ

㛢㛫ࢥࡢࡘ㸰⏺㟁ࡢ࿘㎶ࢥࢫࡣ

ࡇࡡ㔜ࢥࡀࢫࢱࢡࢲࠊࡇ㎸ࡌ

⣙ 3㹼4 ಸቑࡑࠋ࠶ࡇࡍඹ

ჾ≉ᛶࠊ࠾࡞ࠋࡍࡀ࿘Ἴࡢㄪ⏝ࢹࢥ

ࡗ࡞ࡇຠᯝࡢࢧࢹࢥࡢ࠼ຍࢧ

㔜ࠊࡇࡑࠋ࠶ࡀᛶ⬟࡞ࡃࡀ⬟ᛶࡉ

ඹᵝඹჾࢥ㔜࠸࠾ඹჾࢥ

࿘ἼࡢᏳᐃᛶࠊ↓㈇Ⲵ Qࠊ⤖ಀࡢウࡗ⾜

᪂࠺࠸㛫㝸ࢥࡣඹჾࢥ㔜ࡋࡋࠋࡓ

౫Ꮡᛶࡢ㔞ࡢࡑࡢࡍᏑᅾࡀࢱ࠸ࡋ

ࠋࡓࡋ┠╔ ࢫࢱࢡࢲࡇࡍኚ᭦㛫㝸ࢥࠊࡎ

ᅗࡇࡍኚࡀ 9 ࡅ㏆ࢥࠋࡍ♧

ࢥࡢ㸰ᯛࠋࡀࡇࡃ࠸࠼ቑࡀࢫࢱࢡࢲ

㻝㻜㻜

㻞㻜㻜

㻟㻜㻜

㻠㻜㻜

㻡㻜㻜

㻢㻜㻜

㻣㻜㻜

㻜 㻞㻜 㻠㻜 㻢㻜 㻤㻜 㻝㻜㻜

㼚㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㼁㼚㼘㼛㼍㼐㼑㼐㻌㻽

㻭㼕㼞

㼃㼍㼠㼑㼞

䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹

㻜㻜㻚㻝㻜㻚㻞㻜㻚㻟㻜㻚㻠㻜㻚㻡㻜㻚㻢㻜㻚㻣㻜㻚㻤㻜㻚㻥㻝

㻜 㻞㻜 㻠㻜 㻢㻜 㻤㻜 㻝㻜㻜

㼚㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㼁㼚㼘㼛㼍㼐㼑㼐㻌㻽

䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹

㻜㻚㻜㻡

㻜㻚㻝

㻜㻚㻝㻡

㻜㻚㻞

㻜㻚㻞㻡

㻜㻚㻟

㻜 㻞㻜 㻠㻜 㻢㻜 㻤㻜 㻝㻜㻜

㼚㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㻯㼛㼡㼜㼕㼚㼓㻌㼏㼛㼑㼒㼒㼕㼏㼕㼑㼚㼠

㻝㻜㼏㼙

㻞㻜㼏㼙

㻟㻜㼏㼙

㻠㻜㼏㼙

㻡㻜㼏㼙

䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹䜸䞊䝥䞁䝇䝟䜲䝷䝹

-9-

Page 4: WPT © « ¸ Ò > E ¹ ú þ q4: ì b è0¦cs/wpt/paper/WPT2013-13.pdf · transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity

࠸ࡋᐤቑࡢయࡀࢫࢱࢡࢲࡢ㛫

⮬࠸ࡋ₃ࡀ᮰☢እ㒊ࡇࡍ㞳ࢥࡢ

ᕫࡣࢫࢱࢡࢲపୗࠋ࠼⪄࠺ࡋࡋ

ᅗ ኚࢫࢱࢡࢲࢠࢥ .9

ᅗ 10. እࢫࢱࢩࡅኚ

ḟᐇ㝿Ⲵࢧࢹࢥࡓࡋᐜ㔞ࢱࢡࢲ

ᅗᐜ㔞ࡁࡍⲴࡓࡋ⟭ィࢫ 10 ♧

ࢥࡀ⥺ⅬࠊⲴᐜ㔞ࡢᐇ㝿ࡀ⥺ᐇࠋ࠸ࡋ

ࡇࠋ࠶ᐜ㔞ࡁࡍⲴࡓࡋ⟭ィࢫࢱࢡࢲ

㛫ᐜ㔞ࢥࡀ㛫ᐜ㔞⥺ࡀᕪศࡢᐜ㔞ࡢ

ᑐᛂࠋ࠺ࡔ࡞ࡇ࠺࠸ࡍ

ᅗ 11. Ỉ࿘Ἴኚ

࿘Ἴኚࡣ㔜ࢥඹჾᵝᕳࡀࡁ

ᑡ࠸࡞పῶࠊ࠾ࡁኚࡣ㸯~㸰᱆ῶᑡࡋ

ࡇ࠸Ⰻࡀᛶ≉࠸⊂ࡣ㛫㝸ࢥ࠼ຍࠋ࠸

ᅗࡀ 11 ㈇Ⲵ↓ࠋ Q ࠸ከࡀࡁᕳࡣ

ඖࡢࠎ≉ᛶࡣⰋࠊࡃㄏ㟁యຎഹࡇ࠶

ᅗࡀ 12 ࢥ࡞␗ࡣ࿘Ἴኚࡋࡋࠋ

㈇Ⲵ↓ࢠ Q ࠋࡍᏑᅾࡀ㐺Ⅼࡢ

ࢫࢱࢡࢲࡍᑐࢠࢥࠊࡣࡇ

㏆᥋ຠᯝᢠࡀࢫࡢ㐺ࡁࡢ

≉ᛶࠋ࠼⪄ࡔࡓ࡞ࡃࡀ

ᅗ 12. ↓㈇Ⲵ Q ຎỈࡢ

ᅗ 13. ⤖ಀ㸦15 ᕳࡢ㸧

ᅗ 14. ᅇ㊰ࢩࢩ⤖ᯝ

ḟ⤖ಀࡣ 15 ᕳࡢࢱࢹࡢᅗ 13 ࠋࡍ♧

⤖ඹჾᆺࡢ↓⥺㟁ຊఏ㏦ࡣᇶᮏⓗࢥ┤ᚄ

ࡣᵓᡂࡢᅇࡀࡍᙳ㡪ಀ⤖ࡀ 30cm

ᅛᐃࠊࡓ࠸ࡋ㔜ࢥඹჾᵝࢲ

ࠋࡓ࠼⪄ࡍ♧㝿࡞ࡃࡁࡀࢫࢱࢡ

㔜ࢥඹჾࢥ࠸⊂ࡣ㛫㝸ࢡࢲ

♧ࡀಀ⤖ࡇࡑࡢ࡞ࡀࢫࢱ

⣙ࡣᐇ㝿ࠊࡀࡔࡢࡓࡉணࡍ 10mm 㝿ࡢ

㧗ࡢࡇࠊࡓࠋࡓࡋ♧࠸ᵓᡂ㛵ࡣࡋᅇ㊰ࢩ

ࢱ WIPL-D ᅗࠊᯝ⤖ࡓࡗ⾜ゎᯒ࠸⏝ 14ࠋࡓࡋ♧ഴࡢᵝᯝ⤖ࡓᐇ ᚓ࠺ࡢ

㻜㻝㻜㻜㻞㻜㻜㻟㻜㻜㻠㻜㻜㻡㻜㻜㻢㻜㻜㻣㻜㻜㻤㻜㻜㻥㻜㻜㻝㻜㻜㻜㻝㻝㻜㻜

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㻯㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㻯㼍㼜㼍㼏㼕㼠㼍㼚㼏㼑㻌㻔㼜㻲㻕

㻟㻌㼠㼡㼞㼚㼟㻌㻔㻹㻕 㻣㻚㻡㻌㻔㻹㻕 㻝㻡㻌㻔㻹㻕

㻟㻌㻔㻯㻕 㻣㻚㻡㻌㻔㻯㻕 㻝㻡㻌㻔㻯㻕

㻜㻜㻚㻡㻝㻝㻚㻡㻞㻞㻚㻡㻟㻟㻚㻡㻠㻠㻚㻡㻡

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㻯㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㻲㼞㼑㼝㼡㼑㼚㼏㼥㻌㼟㼔㼕㼒㼠㻌㻔㼗㻴㼦㻕

㻝㻡㻌㼠㼡㼞㼚㼟

㻣㻚㻡

㻝㻜㻜

㻞㻜㻜

㻟㻜㻜

㻠㻜㻜

㻡㻜㻜

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㻯㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㼁㼚㼘㼛㼍㼐㼑㼐㻌㻽

㻟㼠㼡㼞㼚㼟㼋㻭㼕㼞 㻟㼠㼡㼞㼚㼟㼋㼃㼍㼠㼑㼞㻣㻚㻡㼠㼡㼞㼚㼟㼋㻭㼕㼞 㻣㻚㻡㼠㼡㼞㼚㼟㼋㼃㼍㼠㼑㼞㻝㻡㼠㼡㼞㼚㼟㼋㻭㼕㼞 㻝㻡㼠㼡㼞㼚㼟㼋㼃㼍㼠㼑㼞

㻜㻚㻜㻜㻝

㻜㻚㻜㻝

㻜㻚㻝

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㻯㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㻯㼛㼡㼜㼘㼕㼚㼓㻌㼏㼛㼑㼒㼒㼕㼏㼕㼑㼚㼠

㻝㻜㼏㼙 㻞㻜㻟㻜 㻠㻜㻡㻜

Distance betweenresonator

Distance betweenresonator

㻜㻚㻜㻜㻝

㻜㻚㻜㻝

㻜㻚㻝

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㻯㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㻯㼛㼡㼜㼕㼚㼓㻌㼏㼛㼑㼒㼒㼕㼏㼕㼑㼚㼠

㻝㻜㻌㼏㼙 㻞㻜㻌㼏㼙

㻟㻜㻌㼏㼙 㻠㻜㻌㼏㼙

㻡㻜㻌㼏㼙

Distance betweenresonator

㻜㻚㻜㻜㻝

㻜㻚㻜㻝

㻜㻚㻝

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㻯㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㻯㼛㼡㼜㼕㼚㼓㻌㼏㼛㼑㼒㼒㼕㼏㼕㼑㼚㼠

㻝㻜㻌㼏㼙 㻞㻜㻌㼏㼙

㻟㻜㻌㼏㼙 㻠㻜㻌㼏㼙

㻡㻜㻌㼏㼙

㻝㻜

㻝㻜㻜

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㻯㼛㼕㼘㼟㻌㼓㼍㼜㻌㻌㻔㼙㼙㻕

㻵㼚㼐㼡㼏㼠㼍㼚㼏㼑㻌㻔䃛㻴㻕

㻝㻡㻌㼠㼡㼞㼚㼟

㻣㻚㻡

-10-

Page 5: WPT © « ¸ Ò > E ¹ ú þ q4: ì b è0¦cs/wpt/paper/WPT2013-13.pdf · transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity

⌧ẁ㝵ࡀ࠸࡞࠸ࡗࡣ⏤⌮ࡣ㟁☢⏺ศᕸࡢ࡞

ゎᯒࡇ࠺⾜ཎᅉࡀゎࠋ࠸࠼⪄ࡢࡁ 15ࠊ࠾࡞ ᕳ0=ࢠࢥࡢmm ࢫࡣ

ᅗࡣඹჾࡢࡇࠋࡍព㔜ඹჾ 1(a)ࡢඹჾ 2 㔜ࢠࢥࡀ࠶ࡢࡓࡋ⊃

㈇Ⲵ↓ࡓ࠸ࡂࡍࡋࡃ Q ࡋࠋ࠸ࡋஈ㨩ຊࡃపࡀ

ࡀࢠࡋ 5mm ⛬ᗘࡤ࠶༑ศ Q ࡞ࡃ㧗ࡣ

ࡑࡁ⏝ࡣࡑ࠼⪄ࡉ㧗ࡢ࿘ἼᏳᐃᗘࡢ

ࠋ࠶࠺

6. ከ㔜ከ㔜ከ㔜ከ㔜ࢥࢥࢥࢥඹჾඹჾඹჾඹჾ ࢥከ㔜ඹჾࠊࡋᘏ㛗ࡢᯝ⤖ࡢࡇ

ඹჾࡇࡍ᭦࡞ඹჾ≉ᛶ⬟ࡀࡢ

ࡇࡑࠋ࠺ࡋウࡗࢩࢩ⏺☢㟁

ከࢥᵓᡂ᪉ἲࡢᵝඹჾࢥ㔜ࠊ

㓄⨨┤ࡋ᥋⥆ࠊࡋỈධࢺࢺ 1 ಶࡢ

ሙࢺࡣ 1cm 㞳ࡓࡋᡤ㓄⨨2ࠊ ඹࡣሙࡢࡘ

ჾᣳ㎸࠺㓄⨨ࡋඹ࿘Ἴኚ

WIPL-D ẚ㍑ࡢຠᯝ㎸ࡌᐜ㔞㛢ࠋࡓࡋゎᯒࡗ

ඹ࠸࡞ࡋⲴࢧࢹࢥࡅእࡓࡢ

ჾᵓ㐀ࢥ㛫㝸ࡣ 1cm ࡁᕳࡢࢥࠊࡋ

ከ㔜ࡍ㝿ㄪࡋඹ࿘Ἴ 2.3MHz ᅛᐃ

ࡋ┒┠ᑐ㍈⦪ࡣᯝ⤖ࠋࡓㄪᙳ㡪ࡢỈࡋ

ᗈ⠊ᅖࡢኚࡀぢࡋ࠺࠼ᅗ 15 ࠋ࠸ࡋ♧

ᅗ 15.ඹ࿘ἼࡢỈࡢᙳ㡪 ከ㔜ࡇࡍ㔜ࡣ㣕㌍ⓗᏳᐃࡋ

ぢࡀࡇ࠸Ⰻࡀᛶ≉ࡀඹჾࢥ㔜ࠊࡀ࠸

2ࠊࡓࠋ 㔜ࡣ≉ᛶຎࡀ࠸ࡋࡣወ

ࡣ 4 㔜࡞അᒙࢥ㔜ࡓࡡ᪉ࡀ≉ᛶࡀⰋ

ࢥഅࡣࡋᛶ⬟ࡀ࠶ࡣ⏤⌮ࠋ࠸

ࡎᚲࡣࢥወࠊࡀࡍᏑᅾࡀࢥ࡞ᑐࡣ

ᑐࡓ࠶ࡀࢥ࠸࡞࡞ᐜ㔞㛢ࡌ㎸࠼⾜

ࠋᛮ࠶ࡀ㒊ศ࠸࡞࠸ 3 㔜௨ᕳࡁቑࡣࡇࡍ࿘ἼᏳᐃᗘ㛵ࡋ

㈇Ⲵ↓ࠊࡀ࠶࠺ࡑࡉ↓ࡣព࠶ Q ᕳ⥺㛫ࡣ

㊥㞳ࡀቑࡢࡍࡓࡍணࠋࡁ

᪉ࡀ⏺☢సࡢࢥቑࡢᒙࡓ

ࡢࡁᮇᚅቑຍࡢಀ⤖ࡓ࠼ᥞ

ᚋᐇ㦂ࠋ࠸ࡓ☜ࡗ

7. ┤⤖ᅇ㊰≉ᛶ┤⤖ᅇ㊰≉ᛶ┤⤖ᅇ㊰≉ᛶ┤⤖ᅇ㊰≉ᛶ ᐇ㝿 WPT ⤖ࠊሙࡍᵓ⠏ࢸࢫࢩ

✵࠸ᗈࠊᔞᙇẚ⥆᥋᥋┤ࡣࡓ࠸⏝

㛫ࡀᚲせࠋ࡞㏫┤⤖ඹჾࡢᵓᡂࢥࡤ࠶

࠺࠸࠸ࡋ㞴ࡀㄪࡣᅛᐃࡁᕳࠊࡀ࡞ࢺࢡ

ḞⅬࡣ⤖┤ࡓࠋ࠺ࡀㄪࡀ㞴ࡀ࠸ࡋ⤖

እ㒊࠸㧗 k ࠊࡋᑐࡢࡁᮇᚅࡀ

እ㒊࠼࠸ࡣ࠸ࡉᑠࡣࡣ⤖ k ࡍㄪᗈ⠊ᅖ

ࡅศ࠸ࡗⓗ┠ࡣᛶ≉ࡢ௨ࠋࡁࡀࡇ

≉ࡢ᥋᥋⥆㸦┤⤖㸧┤ࡢඹჾࠊࡢ࠶ࡀᚲせ

ᛶ㛫᥋᥋⥆㸦⤖㸧ࡑࡢẚ㍑ࠋࡓࡋ㡯┠

ඹჾ↓㈇Ⲵඹ࿘Ἴࡣ Q ࡢ 2 Ⅼࠋ࠶

8.1 㔜ࢥඹჾ  ᐃࡓࡗ⾜⤖ᯝࠊㄝ࠸࡞ࡁࡀ࡞Ⅼࡀከࠎ

ணᐃࡃ࠸㐍ウࡋㄢ㢟ࡢᚋࡓࡓࡗ࠶

ࠋࡃ࠾ࡋ♧ࡢࡑࡓࡢ⪄ཧࡣᐃ⤖ᯝ ࠊࡀ࠶

ࡍపୗࡣඹ࿘Ἴࡍኚ᭦⤖┤⤖

ᅗࠋ 16 ࡀኚࡢࡑ࠼ቑࡀࡁᕳ࠺ࡍ♧

ࠋ࠸ࡗ࡞ࡃࡁ

ᅗ ඹ࿘Ἴኚ⤖┤ .16

↓㈇Ⲵ Q ࡕࡢ⤖┤⤖ࠊࡣ࠸ࡘ

࡞ࡃࡋ➼ࡓࡁ ほࡀඹჾ≉ᛶࡣㄽ⌮

ᅗࠊࡀࡓࡋ ணࡢ 17 ࠸పࡀ࠺ࡢ⤖┤࠺ࡢ

ᅗࡍ⾲⋠ẚࡣࡇࠊࡓࠋ࠸ࡋ♧ 18 ࠺ࡢ

ࠋࡀࡇ࠸ࡋࡀຎ࠸క࠼ቑࡀࡁᕳ

ᅗ ㈇Ⲵ↓⤖┤ .17 Q ຎࡢ

㻝㻜㻜

㻞㻜㻜

㻟㻜㻜

㻠㻜㻜

㻡㻜㻜

㻢㻜㻜

㻣㻜㻜

㻜 㻞㻜 㻠㻜 㻢㻜 㻤㻜 㻝㻜㻜

㻺㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㼁㼚㼘㼛㼍㼐㼑㼐㻌㻽

㻵㼚㼐㼕㼞㼑㼏㼠

㻰㼕㼞㼑㼏㼠

㻜㻚㻜㻜㻝

㻜㻚㻜㻝

㻜㻚㻝

㻝 㻞 㻟 㻠 㻡

㻺㼡㼙㼎㼑㼞㻌㼛㼒㻌㼘㼍㼥㼑㼞㼟

㻲㼞㼑㼝㼡㼑㼚㼏㼥㻌㼟㼔㼕㼒㼠㻌㻔㻹㻴㼦㻕

㻝㻌㼎㼛㼠㼠㼘㼑

㻞㻌㼎㼛㼠㼠㼘㼑㼟

㻙㻝㻜㻜

㻙㻤㻜

㻙㻢㻜

㻙㻠㻜

㻙㻞㻜

㻜 㻞㻜 㻠㻜 㻢㻜 㻤㻜 㻝㻜㻜

㻺㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㻲㼞㼑㼝㼑㼚㼏㼥㻌㼟㼔㼕㼒㼠㻌㻔㼗㻴㼦㻕

-11-

Page 6: WPT © « ¸ Ò > E ¹ ú þ q4: ì b è0¦cs/wpt/paper/WPT2013-13.pdf · transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity

ᅗ 18. ↓㈇Ⲵ Q ຎẚࡢ ᨵၿ⟇ࡣ㍈ࢫࡀࢣᅇ㊰࠶

Ⲵ᭦ࡋᅇ㊰ࢫඹჾࠊࡢ

ᢚᛶຎ≉ࡇ࠸࡞࠼እ㒊ᙳ㡪ඹჾࠊࡋ

ࠊࡋࡋࠋ࠼⪄࠸࡞ࡣࡢࡁࡀࡇ࠼

㔜ࢥඹჾࢫᅇ㊰࡞ࡁࡣࡇࡍ

ࠋᛮ࠸ࡋ㞴ᐇ㉁ⓗࡣࡇࡍᨵၿࠊࡓ࠸

8.2 㔜ࢥඹჾ ࡓࡁࡋ⏝ࡇ 3 ᕳࡢࡁඹჾࡍ⤖┤ࡣ

እ㒊 k ⬟ࡀᐃ ࡢ࡞ඹ࿘Ἴࡂࡍࡁࡀ

ࡢࡓࡗ࠶ 7.5,15 ᕳࡢࡁ⤖ᯝࠊࡓࠋࡍ♧ࡢ㔜

᥋ࢧࢹࢥࡣඹჾࢥ㔜࠸㐪ඹჾࢥ

⥆⨨ࡢ㐪ࢫࢫࡗ࠸ᆺ༊

♧࠸㐪ࡢᛶ≉ࡑࠊࡢ࠶⬟స〇ࡋ

ᅗࡣ⥺㓄ࠋࡍ 19 ࠋ࠶㏻ࡍ♧ ࿘Ἴኚࢫࠊ࠸ࡘᆺࡣᅗ 20

࠸ከࡀࡁᵝᕳඹჾࢥ㔜࠺ࡍ♧

ࢠࢥࠋ࠸ࡁ㛵࠶ࡣࡋ㛫㝸ࢡ

ࡤࡢከᑡࡣᆺࢫࠋࡀࡇࡍᏑᅾࡀ

ࡀ࠶ࡣࡁࡘ 10kHz ௨ෆࡢࡓࡗ࠶ࡎࡢᅗ♧ࡋ

㈇Ⲵ↓ࠋ࠸࡞࠸ Q ᅗࡓ 21 ࠺ࡍ♧

㈇Ⲵ↓ࡓᚓ⤖ࡣ⤖┤ࡢᆺࢫ Q ప

ࡣ⤖┤ࡢᆺࢫࠊࡋࡋࠋ࠸ࡋ♧࠸

㈇Ⲵ↓ࡓࠋ࠸ࡋ♧࠸ࡋ➼⤖ Q 㛵

ࠊࡋࡑࠋࡍᏑᅾࡀࢡࢠࢥࡋ

ᅗ 18 ᵝᅗ 22 ㈇Ⲵ↓࠺ࡢ Q ࠊぢ⋠ẚࡢ

࡞ࡃᗈࡀࢠࡃከࡀࡁᕳࡣᆺࢫ

ࠋ࠸࡞࠸ࡋຎࡣᆺࢫࠊࡀࡍຎ �ᆺࢫ � � � ᆺࢫ

ᅗ 19. 㔜ࢥඹჾࡢ 2 ᵓᡂἲࡢࡘ

ᅗ ඹჾ࿘Ἴኚࢥᆺ㔜ࢫ .20

ᅗ 21. ↓㈇Ⲵ Q ຎ⤖┤ࡢ

௨ࡢ⤖ᯝࢫᆺࡣ㔜㔜ࢥ

㈇Ⲵ↓ࡗ⤖┤ࡕࡣඹჾ Q ࡍຎࡀ

⏝ࡣᆺࢫࡋᑐࡑࠋ࠼ゝ

ࡇࡓࡢࡑࠋࡓࡋ♧ᛶ≉ࡢ➼⥆㛫᥋᥋ࡓ࠸

⏝ࡑࠊࡃ࡞ࡣᚲせ࠸⏝ࡣᅇ㊰ࡢ

㈇Ⲵ↓ࡋࡀ࠸࡞ኚࡣ࿘Ἴ≉ᛶࡣ㝿ࡓ࠸ Qࠋࡓࡌ⏕ࡀຎࡢᙳ㡪ከᑡࡢࢫࡢࡣ

ᅗ 22. ↓㈇Ⲵ Q ຎẚࡢ

8. 㸱✀ࡢඹჾࡢホ౯㸫㸱✀ࡢඹჾࡢホ౯㸫㸱✀ࡢඹჾࡢホ౯㸫㸱✀ࡢඹჾࡢホ౯㸫௦࠼㸫௦࠼㸫௦࠼㸫௦࠼㸫 ↓⥺㟁ຊఏ㏦ࡅ࠾ࢸࢫࢩఏ㏦≉ᛶࡢ

┠ᣦࡋඹჾᵓᡂࡢウࡢࡑࠋࡓࡗ⾜⤖ᯝࠊẚ㍑

ࡓࡋ 3 ᮃࡀࡇࡅศ࠸ࡌᛂⓗ┠ࡣඹჾࡢ✀

ඹჾࢫࠋࡓࡋ㐩ㄽ⤖ࡢ࠸ࡋ

⤖⏺☢ࡀ⤖⏺㟁ࡢ࠸࡞࠸ࡋⲴࢧࢹࢥࡣ

㻜㻚㻝

㻜㻚㻞

㻜㻚㻟

㻜㻚㻠

㻜㻚㻡

㻜㻚㻢

㻜㻚㻣

㻜㻚㻤

㻜㻚㻥

㻜 㻞㻜 㻠㻜 㻢㻜 㻤㻜 㻝㻜㻜

㻺㼡㼙㼎㼑㼞㻌㼛㼒㻌㼠㼡㼞㼚㼟

㻾㼍㼠㼕㼛

㻝㻜

㻞㻜

㻟㻜

㻠㻜

㻡㻜

㻢㻜

㻣㻜

㻤㻜

㻥㻜

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㼏㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㻲㼞㼑㼝㼡㼑㼚㼏㼥㻌㼟㼔㼕㼒㼠㻌㻔㼗㻴㼦㻕

㻝㻡㻌㼠㼡㼞㼚㼟

㻣㻚㻡㻌㼠㼡㼞㼚㼟

Port

Port

Port

Port

㻜㻚㻡

㻜㻚㻡㻡

㻜㻚㻢

㻜㻚㻢㻡

㻜㻚㻣

㻜㻚㻣㻡

㻜㻚㻤

㻜㻚㻤㻡

㻜㻚㻥

㻜㻚㻥㻡

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㼏㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㼁㼚㼘㼛㼍㼐㼑㼐㻌㻽

㼁㼚㼎㼍㼘㼍㼚㼏㼑㼋㻣㻚㻡㼠㼡㼞㼚㼟

㼁㼚㼎㼍㼘㼍㼚㼏㼑㼋㻝㻡㼠㼡㼞㼚㼟

㻮㼍㼘㼍㼚㼏㼑㼋㻣㻚㻡㼠㼡㼞㼚㼟

㻮㼍㼘㼍㼚㼏㼑㼋㻝㻡㼠㼡㼞㼚㼟

㻝㻜㻜

㻞㻜㻜

㻟㻜㻜

㻠㻜㻜

㻡㻜㻜

㻢㻜㻜

㻜 㻝㻜 㻞㻜 㻟㻜 㻠㻜 㻡㻜

㼏㼛㼕㼘㼟㻌㼓㼍㼜㻌㻔㼙㼙㻕

㼁㼚㼘㼛㼍㼐㼑㼐㻌㻽

㻵㼚㼐㼕㼞㼑㼏㼠㼋㻣㻚㻡㼠㼡㼞㼚㼟 㻵㼚㼐㼕㼞㼑㼏㼠㼋㻝㻡㼠㼡㼞㼚㼟

㼁㼚㼎㼍㼘㼍㼚㼏㼑㼋㻣㻚㻡㼠㼡㼞㼚㼟 㼁㼚㼎㼍㼘㼍㼚㼏㼑㼋㻝㻡㼠㼡㼞㼚㼟

㻮㼍㼘㼍㼚㼏㼑㼋㻣㻚㻡㼠㼡㼞㼚㼟 㻮㼍㼘㼍㼚㼏㼑㼋㻝㻡㼠㼡㼞㼚㼟

-12-

Page 7: WPT © « ¸ Ò > E ¹ ú þ q4: ì b è0¦cs/wpt/paper/WPT2013-13.pdf · transmission property of the WPT system. Unloaded Q value is considered to be degraded due to the proximity

ࡀ࠸ࡁࡣಀ⤖ຍ ࡢ࡞ㄏ㟁యࠊ[5]

ᡃࠊࡋࡋࠋࡓࡗࡀࡇ࠸ࡍࡅᙳ㡪ࡢ≀␗ ࠎ

ࢠ⏺㟁ࡢ࡞ࢱࢡࢫࢹ࠸࠼⪄ࡢ

ඹჾ࡞᭷ຠ㠀ᖖࡣࢸࢫࢩ࡞㔜せࡀ⤖

ࠋ࠶ 㔜ࢥඹჾࢧࢹࢥࡣⲴࡢ࠸ࡋ

࿘Ἴኚࡋᑐእ࡞ㄏ㟁ⓗඹჾ

ࡃ࡞ᑡࡀᙳ㡪ࡢᾋ㐟ᐜ㔞ࡢࡑࠋ࠸ࡁపῶࡀ

సࡀᏳᐃࡓࠊᐜ㔞ࡢࢱࢡࢲኚࡇ࠼

ㄪࡢࡢእ㒊ᅇ㊰ไᚚࡢඹ࿘Ἴࡗ

㈇Ⲵ↓ࠋ࠶ᐜ Q 㐺ษࢳࡢࢥࡣ

ಖࡗࡇࡘእᙧᑍἲࡇࡍࢻࢺࡢ

ࡣඹჾࡢࡇࡗᚩ≉ࡢࡇࠋࡁࡀ

ᗈࡃ⯡ⓗ࡞⏝㏵㐺ࠋ࠸ࡋ ᚋ㔜ࢥඹჾࡣㄏ㟁ⓗእᑐࡋ

Ṧ≉ࡢ࡞Ỉ୰⤥㟁ෆど㙾ࢭࠊ࠶Ᏻᐃ

ࢥࡗࡇ࠶㸰ᒙࠋ࠸ࡋ㐺㏵⏝࡞

㈇Ⲵ↓ࡢ࠸㧗ࡀไᚚᛶࡢ㛫㊥㞳⥺ࡢ Q 㧗

ࡢ࠶ࡣቑࡢࡉཌࠊฟ᮶ࡀࡇࡍࡃ

ຍࡀⓗせ⣲ࢥࢻࢯ࠼ຍࢫࡢ

࠼ᢚࡀῶᑡࡢಀ⤖ࡢ㍈᪉ࠊࡓࡉ

Ⅼࠋ࠶ ඹჾࢥከ㔜ࢥ㔜ࡋᘏ㛗ࡢࡑ

ᣑᙇࠊࡋㄏ㟁యᙳ㡪ࡢ㔜ࢥ௨ࡢ㍍ῶ⾜

ࡢᕳ⥺㛫㝸ࠊࡋࡋࠋࡓࡋ♧ࡇ࠸࡞ࡁࡣࡇ࠺

ᣑ㏆᥋ຠᯝࡢ㍍ῶ࠼⪄ࡇ࠶⬟ࡀ

ඹჾ↓㈇Ⲵࠊ Q ⬟ᚓࡀࡢಀ⤖

ᛶࠋ࠼⪄࠶ࡣ ᥋᥋┤ࢸࢫࢩ࠸ࡉ㛫᥋᥋⥆タィࠊࡓ

❧ᙺ⡆⣲ࡢᅇ㊰ࡣࡇ࠼ࡁ⨨ࢸࢫࢩࡢ⥆

࡞ࡣᐜࡣࡢ࠺⾜ඹჾᐇ㝿ࢥ㔜ࠊࡀࡘ

ᖹ⾮ᆺᵓᡂἲࡣඹჾࢥ㔜ࠊࡋ♧ࡇ࠸

᥇⏝ࡇࡍ≉ᛶࡢຎࡁ࠺࠸࡞ࡀ

Ⰻࡀᛶ≉ࡋ࡞ࡐ࡞ࠊࡋࡋࠋࡓࡋ♧ࡇ

ࠋ࠸࡞ࡣᅾ⌧ࡣ⏤⌮ࡢ࠸ ᚋࡣ㟁☢⏺ゎᯒ࠸⏝࡞ࢺࢯཎᅉ࡞

Ⅼࡢゎඹჾ≉ᛶࡢ┠ᣦࡋウ㐍

ࠋࡃ࠸

⊩⊩⊩⊩

[1] ᑠᆏಟᖹࠊ▼ᓮಇ㞝ࠊ⢖㑳㞝ࠕࠊඹᆺ↓⥺㟁ຊ

ఏ㏦ࡢࢸࢫࢩఏ㏦ຠ⋡ ࠊಙᏛᢏሗࠊWPT2011- 12(2011-10)2011ࠊ ᖺ 10 ᭶

[2] ⃝ཎ⿱ࠊ▼ᓮಇ㞝ࠊ⢖㑳㞝ࠕࠊ⎔ቃࡢኚᑐඹჾᆺ⤖࡞Ᏻᐃࡋ WPT ࢸࢫࢩ ಙᏛᢏࠊሗ WPT2012-262012ࠊ ᖺ 11 ᭶

[3] http://www.horiba.com/jp/horiba-advanced-techno /hatwave/vol2/f_s_dic/�

[4] ⢖㑳㞝⃝ࠊཎ⿱ࠊ⏕⏣♸ஓࠊᙇ㝧㌷ࠊ▼ᓮಇ

㞝ࠕࠊWPT ⏝ᛂࡢࢻ ಙᏛᢏሗࠊ WPT20132013ࠊᖺ 7 ᭶ (Ⓨ⾲ணᐃ )

[5] I. Awai, Y. Zhang. T. Komori and T. Ishizaki, “Coupling coefficient of spiral resonators used for wireless power transfer”, Proc. 2010APMC, pp. 1328-1331, Dec. 2010.

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