THE SCIENCE AND ENGINEERING REVIEW OF DOSHISHA UNIVERSITY, VOL. 52, NO.3October2011
Field Tests of a Power Storage System with a Li-ion Battery for a DC Railway Feeding System
Shigeki U
MEDA㧖,Takayoshi N
OBUHARA㧖,Naoto N
AGAOKA㧖㧖,Akihiro A
METANI㧖㧖 (Received April 15, 2011)A storage system of regenerated electric power for a railway system has been developed. It stores electric power by generative brake to an industrial large-sized lithium-ion battery, and releases the energy during powering trains. This system is installed on the ground. The feeding line voltage is stabilized, and thus the efficiency of the train system is improved. The battery current is determined according to the line voltage at the installed position of the storage system. When the state of charge (SOC) of the battery is at its maximum power point or less, the battery is charged by the maximum current of the battery (10C). The maximum discharge current is at around 5C because the average charging period is a half of the discharging period. The practical discharging current is controlled according to the SOC to keep the operational point of the battery. The optimum capacity is determined by a numerical simulation taking into account the control characteristic. The internal resistance of the battery affects on the maximum operational point. The thermal and time-varying characteristics of the resistance are measured. The characteristic of the voltage stabilization is confirmed from a measurement on a practical train system.
-G[YQTFU㧦Li-ion Battery, power compensation, voltage regulation, dc railway, EMTP
ࠠࡢ࠼㧦࠴࠙ࡓࠗࠝࡦ2ᰴ㔚ᳰ㧘㔚ജఘ㧘㔚ቯ㧘⋥ᵹ㔚᳇㋕㧘EMTP
࠴࠙ࡓࠗࠝࡦ 2 ᰴ㔚ᳰࠍ↪ߚ⋥ᵹ㔚᳇㋕↪㔚ജ⾂⬿ⵝ⟎ߩ⹜㛎
᪢↰ ❥᮸㧘ᑧේ 㓉⦟㧘㐳ጟ ⋥ੱ㧘㔎⼱ ᤘᒄ
1.ߪߓߦ
ᚒ߇࿖ߩ⋥ᵹ㔚᳇㋕ߦ߅ߡߪ㧘
1971
ᐕ㗃߆ࠄᷫㅦᤨߩࠛࡀ࡞ࠡౣ↢߇น⢻ߥ࿁↢ࡉࠠࠪ
ࠬ࠹ࡓ߇↪ࠄࠇ㧘1987ᐕ߆ࠄ
1997
ᐕߩ10
ᐕ㑆 ߢ㧘࿁↢ゞߩഀว߇20
㧑߆ࠄ69
㧑ߣᄢ߈ߊિ߮(1)ᓟ߶߷ోߡ߇࿁↢ゞߣߥࠆ߽ߩߣផ᷹ߐࠇࠆ㧚 ⶄᢙߩ㔚ゞ߇㔚᳇࿁〝ࠍߒߡࠆ㋕ߢߪ
࿁↢㔚ജߩ⊒↢ߣᶖ⾌ߩหᤨᕈࠍ㜞ࠆߚ㧘ⶄ✢
ߦ߅ߡߪਅ✢ߩ㔚ゞ✢〝ࠍធ⛯ߔࠆ╬㧘࿁↢㔚 ജߩ↪ല₸ࠍะߐߖߡࠆ߇㧘ജⴕゞਔ߇ㄭற ߦߥ႐วߦߪ㧘᨞✢ᛶ᛫ߦ࿃ߔࠆ㔚߇⊒
↢ߔࠆ㧚᨞✢㔚ᤨߦߪ࿁↢⛉ㄟࠍⴕࠊߑࠆࠍ ᓧߕ㧘ㆡಾߥࡉࠠജࠍᓧࠆߚߦᯏ᪾ࡉࠠ
ࠍ૬↪ߔࠆ㧚ߎࠇߪᬺߩჇᄢࠍ߹ߨߊߣߦ
࿁↢ゞߩߺߦࠃࠆ⋭ࠛࡀ࡞ࠡൻߦߪ㒢⇇߇ࠆ ߎߣࠍ␜ߔ㧚
৻ᣇ㧘⸳ߦ߅ߌࠆ᨞✢㔚ߩᄌേኻ╷ߪ㧘 ⶄᢙߩᄌ㔚ᚲ߆ࠄ㔚ജࠍಽᢔߒߡଏ⛎ߔࠆਗ߈ 㔚ᣇᑼߩណ↪એ᧪㧘ᄢ߈ߥㅴᱠߪߥ߆ߞߚ㧚ߒ߆ߒ㧘
1998
ᐕ㗃ߦ㔚ゞߩടㅦᤨߦ߅ߌࠆ᨞✢㔚ૐਅࠍ 㔚ゞߩ⸵ኈߢ߈ࠆ▸࿐ౝߦቯൻߐߖࠆߚߦ㧘ㅢ Ᏹࠃࠅૐജ㔚ߢ߈㔚ߔࠆߎߣߦࠃࠅᓥ᧪ߩ ᄌ㔚ᚲߣਗ߈㔚࿁〝ࠍ᭴ᚑߒߡ߽ജߩಽᜂ߇ ዋߥߊ㧘․㜞ฃ㔚߇ਇⷐߢࠆዊኈ㊂ߩᄌ㔚ᚲ 㧔ᄌ㔚ᚲቢⵝ⟎(2)(3)㧕߇㐿⊒ߐࠇታ↪ߦଏߐࠇߡࠆ㧚ߎߩᄌ㔚ᚲቢⵝ⟎ߪၮᧄ⊛ߦᓥ᧪ߩᄌ㔚ᚲߣ 㘃ૃߒߚ᭴ㅧߢࠆߚ㧘࿁↢ᤨߩ㔚ࠍᛥ
ߔࠆᯏ⢻ߪᜬߞߡߥ㧚࿁↢ᤨߩ㔚ኻ╷(4)
㧖
West Japan Railway Co, Osaka 530-8341, Japan
Telephone:+81-6-6375-8733, Fax:+81-6-63766154, Email:[email protected]
㧖㧖
Department of Electrical Eng., Doshisha University, Kyoto 610-0321, Japan
Telephone:+81-774-65-6324, Fax:+81-774-65-6801, Email:[email protected]
164
ߣߒߡ㧘ᄌ㔚ᚲㅍ㔚ࠍૐᷫ㧘߈㔚✢ߩჇ⸳ߦࠃ ࠆ߈㔚࿁〝ߩૐᛶ᛫ൻ㧘ᛶ᛫ߦࠃࠅ࿁↢㔚ജࠍᾲᄌ
឵ߒߡᶖ⾌ߔࠆ࿁↢㔚ജๆⵝ⟎ߩ⸳⟎╬߇ⴕߥ ࠊࠇ㧘࿁↢ࡉࠠߩቯߥേࠍ࿑ߞߡ߈ߚ㧚ㄭ ᐕߢߪ㧘ജⴕߣ࿁↢ߩหᤨᕈ߇ήߊߣ߽㔚ᄌേߦ ኻᔕߒᓧࠆᯏ᪾⊛ߥࡈࠗࡎࠗ࡞ᑼߩ࿁↢㔚ജ ๆⵝ⟎(4)߿㧘ᣂߒᄢኈ㊂ߩ㔚ജ⾂⬿ᇦ㧔㔚᳇
ੑ㊀ጀࠠࡖࡄࠪ࠲(5)㧘࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰ㧘࠾࠶ࠤ࡞᳓⚛
2
ᰴ㔚ᳰ(6)╬㧕ࠍ↪ߒߚ㋕↪㔚ജ⾂⬿ⵝ⟎ߩ㐿⊒߇ㅴࠄࠇߡࠆ㧚
ᧄ⺰ᢥߢߪ㧘↥ᬺ↪ᄢဳ࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰ ࠍ↪ߒߚ⋥ᵹ㔚᳇㋕↪㔚ജ⾂⬿ⵝ⟎ࠍ㐿⊒ߒ(7) (8)㧘ల㔚․ᕈߣ᨞✢㔚ᄌേᛥߩᬌ⸛ࠍⴕ߁
ߚߩ⹜㛎ࠍታᣉߒߚ㧚ᧄⵝ⟎ߪ㔚ജ⾂⬿ᇦ㧘᨞
✢ߣ⾂⬿ᇦࠍធ⛯ߔࠆᣇะࠦࡦࡃ࠲(9)ߢ᭴
ᚑߐࠇߡࠆ㧚ㄭᐕ㐿⊒ߐࠇߚ↥ᬺ↪ᄢဳ࠴࠙ࡓ
ࠗࠝࡦ
2
ᰴ㔚ᳰ(10)ߪ㧘ࠛࡀ࡞ࠡኒᐲ߇㜞ߊ㧘ᄢ㔚 ᵹల㔚߇น⢻ߥߎߣ߆ࠄ㧘㔚᳇㋕↪ߣߒߡචಽ ߥ․ᕈࠍߒߡࠆ㧚⾌↪ኻലᨐࠍ㜞ࠆߚߦߪ㧘࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰߩᕈ⢻ࠍᦨᄢ㒢ߦᒁߔᓮᛛⴚ߇ਇนᰳ
ߢࠆ㧚ᧄ⺰ᢥߢߪ㧘╩⠪ࠄ߇㐿⊒ߒߚ࠴࠙ࡓࠗ
ࠝࡦ
2
ᰴ㔚ᳰߦࠃࠆ㔚ജ⾂⬿ⵝ⟎ߩᢙ୯ࡕ࠺࡞(11)(12)ࠍ↪㧘ࠪࡒࡘ࡚ࠪࡦߦࠃࠅᓮⵝ⟎ߩ․
ᕈะߣ㔚ജ⾂⬿ⵝ⟎ߦᔅⷐߥኈ㊂ࠍ᨞✢㔚ᄌ
േߩ⸵ኈ୯߆ࠄቯࠆ㧚ߐࠄߦታ㛎⚿ᨐߦࠃࠅ᨞✢
㔚ߩቯൻߪ㔚ജ⾂⬿ⵝ⟎ߩ⸳⟎ߦࠃࠅ㆐ᚑߐ ࠇࠆߎߣࠍࠄ߆ߦߔࠆ㧚
2.⋥ᵹ㔚᳇㋕ߩၮᧄ․ᕈ
ᧄ⺰ᢥߦ߅ߡኻ⽎ߣߒߚ⋥ᵹ㔚᳇㋕ߩᮡḰ
㔚ߪ
1500V
㧘ᄌ㔚ᚲߩή⽶⩄ജ㔚ߪᄌ㔚ᚲౝㇱᛶ᛫ߦࠃࠆ㔚㒠ਅࠍ⠨ᘦߒߡ⚂
1600V
ߢࠆ㧚᨞✢ᛶ᛫ߩ㔚㒠ਅߦࠃࠅቯ߹ࠆ㔚ゞଏ⛎ᦨૐ㔚
ߪ㧘ᧄ⹜㛎ࠍታᣉߒߚਥⷐ✢ߦ߅ߡ
1100V
㧘 ߘߩઁߩ✢ߦ߅ߡ900V
ߢࠆ㧚ߥ߅㧘࿁↢㔚 ജߦࠃࠆ᨞✢㔚ߩ㒢ᐲߪ߈㔚࿁〝ߩ⛘✼╬ࠍ⠨ᘦߒ
1800V
ߣቯ㧘㔚ゞߩ㚟േࠪࠬ࠹ࡓߦ߅ߡ࿁↢⛉ㄟߺቢੌ㔚ࠍߎߩ㔚ߦ⸳ቯߒߡ
ࠆ㧚
Fig. 1
ߦ4
ਔ✬ᚑ㧔2
㔚േゞ㧕ߩゞ᷹ቯߦࠃࠆ৻⥸⊛ߥ㔚ゞ㔚ᵹࠍ␜ߔ㧚㔚ゞ㔚ᵹߪടㅦ⁁ᘒߣ㜞 ㅦㆇォᤨߩജⴕ㔚ᵹ㧘ᷫㅦᤨߩ࿁↢㔚ᵹߦಽߌࠄࠇ ࠆ㧚࿁↢㔚ᵹߪ᨞✢㔚ߦࠃࠅ
800A
⒟ᐲߦ⛉ࠅㄟ߹ࠇߡࠆ㧚
㪄㪈㪌㪇㪇 㪄㪈㪇㪇㪇 㪄㪌㪇㪇 㪇 㪌㪇㪇 㪈㪇㪇㪇 㪈㪌㪇㪇 㪉㪇㪇㪇
㪊㪏㪑㪊㪇 㪊㪐㪑㪇㪇 㪊㪐㪑㪊㪇 㪋㪇㪑㪇㪇 㪋㪇㪑㪊㪇
㪫㫀㫄㪼䋨㫄㫄䋺㫊㫊䋩
㪭㫆㫃㫋㪸㪾㪼䋨㪭㪀㪚㫌㫉㫉㪼㫅㫋䋨㪘䋩
㪇 㪉㪇 㪋㪇 㪍㪇 㪏㪇 㪈㪇㪇 㪈㪉㪇 㪈㪋㪇 㪣㫀㫅㪼㩷㫍㫆㫃㫋㪸㪾㪼
㪪㫇㪼㪼㪻
㪫㫉㪸㫀㫅㩷㪺㫌㫉㫉㪼㫅㫋
㫇㫆㫎㪼㫉㫀㫅㪾 㪹㫉㪼㪸㫂㫀㫅㪾
Fig. 1. Current and voltage of DC train
ᦨᄢജⴕ࿁↢㔚ᵹߪㇺᏒㇱߢ߽ߞߣ߽ᐢߊ↪
ࠄࠇߡࠆ
7
ਔ✬ᚑߩ႐ว㧘⚂2000A
㧔㔚േゞߚ ࠅ500A㧕ߢࠆ㧚 Fig. 2
ߦ࿁↢㔚ᵹߣA㧘B
ᄌ㔚ᚲ ߩ㑆ߩ᨞✢㔚ಽᏓߩ৻ࠍ␜ߔ㧚ᄌ㔚ᚲ㑆ߦജⴕ 㔚ゞ߇ߥߊ࿁↢ਛߩ㔚ゞ߇ᄌ㔚ᚲ㑆ਛᄩߦሽߔ ࠆ႐ว᨞✢㔚ߪᦨᄢߣߥࠆ㧚ᄌ㔚ᚲߪ࿁↢㔚ജࠍ ๆߔࠆߎߣ߇ߢ߈ߥߚ㧘ᄌ㔚ᚲ㔚ᵹߪ㔖㧘㔚ߪή⽶⩄㔚
1600V
ߣߥࠅ㧘࿁↢㔚ജߪਔᄌ㔚 ᚲߩᄖᣇ߳ㅍ㔚ߐࠇࠆ㧚ߒߚ߇ߞߡ㧘࿁↢㔚ゞߩ㔚ߪᄌ㔚ᚲ㐿㔚ߣ㧘᨞✢ᛶ᛫㧘࿁↢㔚ᵹߦࠃࠅ
᳞ࠆߎߣ߇ߢ߈ࠆ㧚࿑ߩߢߪ㧘᨞✢♽ߣ࡞
ࠍࠊߖߚ߈㔚࿁〝ߩวᚑᛶ᛫(0.04:/km)㧘᨞✢㐳
(5km)
㧘 ᨞ ✢ 㔚 ᵹ(1000A)
߆ ࠄ ᨞ ✢ 㔚 200V(=0.04
5
1000)
߇ᓧࠄࠇࠆ㧚#UWDUVCVKQP $UWDUVCVKQP
8QNVCIG
2000A 1000A 1000A
1800V
0km 5km 10km
1600V
0.04㱅/km
(7Cars)
#UWDUVCVKQP
#UWDUVCVKQP $UWDUVCVKQP$UWDUVCVKQP
8QNVCIG
2000A 1000A 1000A
1800V
0km 5km 10km
1600V
0.04㱅/km
(7Cars)
Fig. 2. Image of feeding line voltage
ߎߩ㔚ࠍᛥߔࠆߦߪ࿁↢ࠛࡀ࡞ࠡࠍ ๆߔࠆ㔚ജ⾂⬿ⵝ⟎߇ᔅⷐߢࠆ㧚ゞߦ㔚ജ⾂
⬿ⵝ⟎ࠍタߒߚ႐วߦߪ㧘ゞਔ㊀㊂߇Ⴧടߔࠆߎ ߣ㧘ᣂㅧゞਔዉ߹ߢᤨ㑆ࠍⷐߔࠆߥߤߩ㗴߇
ࠆ߇㧘⸳⟎ߔࠆߎߣߦࠃࠅ⋥ߋߦኻᔕߔࠆߎߣ ߇ߢ߈ࠆ㧚߹ߚ㧘᨞✢㔚ᄌേ߇ᄢ߈ߊ࿁↢⛉ࠅㄟ ߺ߇ᄙ⊒ߔࠆ▎ᚲߦ⸳⟎ߔࠆߎߣߦࠃࠅ㧘⾌↪ኻല ᨐࠍ㜞㧘วℂ⊛ߥኻ╷߇ታᣉߢ߈ࠆ㧚
梅 田 繁 樹 ・ 延 原 隆 良 ・ 長 岡 直 人 ・ 雨 谷 昭 弘
165
3.㔚ജ⾂⬿ⵝ⟎
3.1 ࿁〝᭴ᚑ 㔚ജ⾂⬿ⵝ⟎ߪ᨞✢㔚
ᛥ߅ࠃ߮࿁↢ࠛࡀ࡞ࠡߩല↪ࠍ⋡⊛ߣ ߔࠆߚ㧘࿁↢㔚ᵹ㔚ߩ․ᕈࠍ╙৻᧦ઙߦ⸳⸘
ߒߥߌࠇ߫ߥࠄߥ㧚ᓥߞߡ㧘㔚ജ⾂⬿ᇦߦߪ㧘 㔚ゞߩㆇേࠛࡀ࡞ࠡ߆ࠄቯ߹ࠆࠛࡀ࡞ࠡኒᐲ
(Wh/kg)
ߣ㧘㔚ゞߩ࿁↢㔚ജߩᕆፋᕈߦㆡᔕߢ߈ࠆࡄࡢኒᐲ(kW/kg) ߇ᔅⷐߢࠆ㧚ࡈࠗࡎࠗ࡞
╬ߩᯏ᪾⊛ࠛࡀ࡞ࠡ⾂⬿ⵝ⟎߽ታ↪ൻߐࠇߡ
ࠆ(4)߇㧘ㄭᐕߩ࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰ㜞ᕈ⢻ൻߦ ࠃࠅ㧘ߎߩណ↪߽ᛛⴚ⊛ߦน⢻ߣߥߞߚ㧚㔚ᳰߦࠃ ࠇ߫᨞✢ߦ⋥⚿ߔࠆᣇᴺ߽น⢻ߢߔߢߦᬌ⸛ߐࠇ ߡࠆ(6)߇㧘᨞✢ߩᄌേߦㅊᓥߒߡᏱߦల㔚߇ߥ ߐࠇࠆߚ㧘㔚ᳰߩഠൻ߇ ᔨߐࠇࠆ㧚ᧄ⺰ᢥߢߪ㧘࠴࠙ࡓࠗࠝࡦ㔚ᳰࠍណ↪ߔࠆ႐ว⁁ߢߪ㔚ᳰ 㔚㧘㔚ᵹߩᓮ߇ਇนᰳߢࠆߎߣࠍ⠨ᘦߒ㧘ࡄ ࡢࠛࠢ࠻ࡠ࠾ࠢࠬᛛⴚࠍ↪ߒߡ᨞✢㔚ࠍ
ᓮߔࠆᣇᑼࠍណ↪ߒߚ㧚ߎߩ⋥ᵹ㔚ജᄌ឵ⵝ⟎ߦ ߪ 㔚 ゞ ߩ ᓮ ߦ ታ ❣ ߩ ࠆ ⺃ ዉ 㔚 േ ᯏ 㚟 േ ↪
VVVF
ࠗࡦࡃ࠲ߩ1
ࠕࡓࠍ↪ߒߡ㧘ࠕࠢ࠻࡞㧘ࡈࠖ࡞࠲ࠦࡦ࠺ࡦࠨ╬ࠍㅊടߒߚ
Fig. 3
ߦ␜ߔᣇะࠦࡦࡃ࠲(9)ࠍណ↪ߒߡ᨞✢ߣធ⛯ߔࠆ㧚
ᣇะࠦࡦࡃ࠲ߪ㧘IGBT1ߣࠕࠢ࠻࡞
SL
߆ࠄߥ ࠆ㒠ࠦࡦࡃ࠲࿁〝ߦߡ࿁↢㔚ജߦࠃࠅߒ ߚ᨞✢㔚ࠍ㒠ߒߡ࠴࠙ࡓࠗࠝࡦ2
ᰴ㔚ᳰߦ࿁↢㔚ജࠍల㔚ߒ㧘
IGBT
2ߩࠬࠗ࠶࠴ࡦࠣേߦࠃ ࠅ࠴࠙ࡓࠗࠝࡦ2
ᰴ㔚ᳰߩ㔚VBࠍSL
ߦࠃࠅߒߡ㔚ᳰߦ⫾㔚ߐࠇߚ࿁↢㔚ജࠍജⴕ㔚ゞߦଏ
⛎ߔࠆ㧚
FL
FC
SL
SFC IGBT1
IGBT2 DC voltage
source
Lithium-ion battery FL,8mH
FC
SL,6mH
SFC IGBT1
IGBT2 DC voltage
source
Lithium-ion battery 19,600㱘F
3,500㱘F FL
FC
SL
SFC IGBT1
IGBT2 DC voltage
source
Lithium-ion battery FL,8mH
FC
SL,6mH
SFC IGBT1
IGBT2 DC voltage
source
Lithium-ion battery 19,600㱘F
3,500㱘F
Fig. 3. Bidirectional converter circuit
3.2 㔚ᳰ࡙࠾࠶࠻ ᧄ⺰ᢥߢណ↪ߒߚ࠴
࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰߩ᭽ࠍTable 1
ߦ␜ߔ㧚ߎߩ 㔚ᳰߪ7
ߩᦨዊනߩන㔚ᳰ㧔એਅ㧘࡞ߣ߁㧕 ߆ࠄߢ߈ߡ߅ࠅ㧘7
࡞ߩ㔚ࠍ⋙ⷞߔࠆ㔚ᳰ⋙ⷞ ⵝ⟎ࠍ㔚ᳰࡉࡠ࠶ࠢ߆ࠄߥࠆ㧚↪࡞㔚ߪో₸ࠍ⠨ᘦߒߡ㔚ᳰⷙᩰࠃࠅ⧯ᐓ⁜
3.1
㨪4.1V
ߣቯߚ㧚ᓥߞߡ㧘↪น⢻ߥ㔚ᳰኈ㊂ߪ⚂20%
ૐਅߔࠆ㧚ᦨᄢల㔚㔚ᵹIMAXߪ
600A
ߢ㧘ኈ㊂60Ah
߆ࠄቯ߹ࠆ㔚࠻1C=60A
㧔ઃ㍳A㨯1ෳᾖ㧕
ߔࠆߣ㧘IMAX=10C
ߢ㧘ᓥ᧪ߩ࠴࠙ࡓࠗࠝࡦ㔚ᳰ ߣᲧߒߡ߽ᄢ㔚ᵹల㔚߇น⢻ߢࠆ㧚Table 1. Specification of an industrialized Lithium-Ion battery
Model LIM60H-7D1-S1R (block) LIM60H 㧔Cell㧕 Nominal voltage 25.2 V 3.6 V Maximum voltage 21.7 V 3.1 V Minimum voltage 28.7 V 4.1 V Maximum current 600 A (10 C) 600 A (10 C) Nominal capacity 60 Ah 60 Ah
Mass 30 kg 4 kg
Specific energy 50 Wh kg-1 54 Wh kg-1 Energy density 69 / Wh L-1 108 / Wh L-1 Dimension W180D761H160 mm W170D92H133 mm
㔚ᳰ㔚 VB㧘߈㔚㔚 E0㧘᨞✢㔚ᄌേࠍr'V ߣߒߚᤨߩᣇะࠦࡦࡃ࠲ߩ㔚ᄌ឵₸ rVߪ㧘
ᰴᑼߢਈ߃ࠄࠇࠆ㧚
2 1
0
1 1 1
d d
V V r E
B
V
'
r (1)
㔚ᄌ឵₸rVߪ
Fig. 3
ߦ␜ߔߘࠇߙࠇߩࠬࠗ࠶࠴ࡦࠣ࠺ࡃࠗࠬ࠺ࡘ࠹ࠖd1
,
d2=(1-d
1)
ߦࠃࠅᓮ ߐࠇࠆߚ㧘㔚ᄌ឵₸ rVࠍㆊᄢߦߔࠆߣᓮᕈ ߇ૐਅߔࠆ㧚ߎࠇࠍ⠨ᘦߒߡrVࠍ2
㨪3
⒟ᐲߣߔࠆ ႐ว㧘ή⽶⩄ᤨ߈㔚㔚 E0=1600V
㧘㔚ᄌേࠍ 'V=r200V એౝߦᓮߔࠆߚߦᔅⷐߥ㔚ᳰ㔚VBߪ
600
㨪900V
ߣߥࠆ㧚ᧄ⺰ᢥߢߪ㧘Table 1
ߦ␜ߔ㔚ᳰࡉࡠ࠶ࠢ᭽߆ࠄ㧘㔚ᳰࡉࡠ࠶ࠢࠍ
26㧔182
࡞㧕⋥ߣߒߡ㧘ቯᩰ㔚VB
=655.2V
ߩ㔚ᳰ࡙࠾࠶࠻ߣߒߚ㧚៊ᄬࠍήⷞߔࠇ߫㔚ജሽೣࠃࠅ㧘㔚 ᳰల㔚㧔㔚㧕㔚ᵹߪࠦࡦࡃ࠲ജ㧔ᵈ㧕㔚ᵹ ߣ㔚ᄌ឵₸ rVߩⓍߢ▚ߢ߈ࠆ㧚㔚ゞ࿁↢㔚ᵹ
It
=2,000A
ࠍߔߴߡๆߔࠆ႐วߩ㔚ᳰߩᦨᄢల㔚㔚ᵹߪ㧘
5.5kA(=I
trVCѳ2.0
2.75)
ߣߥࠆ㧚⁁ߦ߅ߌࠆ㔚ᳰᦨᄢ㔚ᵹߪ
600A
⒟ᐲߢࠆ ߩߢ㧘ߎߩ᧦ઙߦࠃࠇ߫㔚ᳰߪ10
ਗߒߡ↪ࠆ ᔅⷐ߇ࠆ㧚ߒ߆ߒߥ߇ࠄ㧘㔚ᳰ․ᕈߪౝㇱᛶ᛫ࠍㅧᤨ߆ࠄᏅ߇ࠅ㧘ߐࠄߦల㔚ᤨߩ⊒
ᾲߣ㈩⟎ߦࠃࠆᾲ᧦ઙߩᏅߦࠃߞߡ↢ߓࠆ㔚ᳰ
᷷ᐲᏅߦࠃࠅ․ᕈߩᏅ⇣ߪߐࠄߦᐢ߇ࠆะߦ
ࠆߚ㧘㔚ᳰࠍ⋥ធਗធ⛯ߔࠆߣ㔚ᵹ߇ਇߙࠈ
ߣߥࠆ㧚㔚ᳰᦨᄢ㔚ᵹ᭽ࠍḩߚߔߦߪ㧘ߘࠇߙࠇ ߩ㔚ᳰ㔚ᵹߩᦨᄢ୯ࠍ⋙ⷞߒߡో㔚ᵹࠍૐਅߐߖ ࠆᔅⷐ߇ࠅ㧘㔚ᳰ↪ല₸߇ਅ߇ࠆ㧚߹ߚ㧘ਗ
ធ⛯ߒߚ㔚ᳰߩ㔚ᵹࠍᓮߔࠆߦߪ㧘ਗᢙߦᲧ
ߒߡࠬࠗ࠶࠴ࡦࠣ࠺ࡃࠗࠬ㔚ᵹ⠴㊂߇ⷐ᳞ߐࠇࠆ㧚 ᧄ⺰ᢥߢߪ㧘⋥ធ⛯ߒߚ㔚ᳰᲤߦࠦࡦࡃ࠲ࠍ⸳
リチウムイオン2次電池を用いた直流電気鉄道用電力貯蔵装置の試験
166
⟎ߒߡᓮࠍⴕ㧘ߎࠇࠍ
1
࡙࠾࠶࠻ߣߒߡਗߔ ࠆߎߣߦࠃࠅᔅⷐߥⵝ⟎ኈ㊂ࠍᓧߚ㧚ߥ߅㧘㔚ᳰ㔚 ᵹߪฦࠦࡦࡃ࠲ߦࠃࠅᓮน⢻ߢ㧘ࠬࠗ࠶࠴ࡦࠣ࠺ࡃࠗࠬ㔚ᵹኈ㊂ߪ㔚ᳰᦨᄢ㔚ᵹߢቯ߹ࠆߚ㧘᳢
↪࠺ࡃࠗࠬߩណ↪߇น⢻ߣߥߞߚ㧚
3.3 㔚ᳰߩㆇォ㗔ၞ ల㔚₸㧔SOC:state of
charge
㧕ߣౝㇱ㔚ߩ⹜㛎ᤨߩ┵ሶ㔚߮ࡈࠖ࡞࠼⹜㛎ᤨߩ┵ሶ㔚․ᕈࠍ
Fig. 4
ߦ␜ߔ㧚ߎߩᤨߩల㔚ᦨᄢ㔚ᵹߪ
600A㧘㔚ᦨᄢ㔚ᵹߪ 300A
ߢࠆ㧚࿑ਛฦల㔚₸ߦ߅ߌࠆ㐿㔚 V0ߣߩ㔚
Ꮕߪౝㇱᛶ᛫ RBߦࠃࠆ㔚㒠ਅߢࠆ㧚ߔߥࠊߜ
┵ሶ㔚 VBߪౝㇱ㔚V0ߣౝㇱᛶ᛫ RBߦࠃࠆ㔚
㒠ਅߩ
B B
B
V R I
V
0 (2) ߢߐࠇࠆ㧚Open voltage
Field test voltage Load test voltage
㪇 㪉㪇 㪋㪇 㪍㪇 㪏㪇 㪈㪇㪇
㪉㪅㪍 㪉㪅㪏 㪊 㪊㪅㪉 㪊㪅㪋 㪊㪅㪍 㪊㪅㪏 㪋 㪋㪅㪉
㪚㪼㫃㫃㩷㫍㫆㫃㫋㪸㪾㪼䋨㪭䋩
䌓䌏䌃䋨䋦䋩㪔㪪㫋㪸㫋㪼㩷㫆㪽㩷㪚㪿㪸㫉㪾㪼
Minimum voltage Maximum voltage
Open voltage
Field test voltage Load test voltage
㪇 㪉㪇 㪋㪇 㪍㪇 㪏㪇 㪈㪇㪇
㪉㪅㪍 㪉㪅㪏 㪊 㪊㪅㪉 㪊㪅㪋 㪊㪅㪍 㪊㪅㪏 㪋 㪋㪅㪉
㪚㪼㫃㫃㩷㫍㫆㫃㫋㪸㪾㪼䋨㪭䋩
䌓䌏䌃䋨䋦䋩㪔㪪㫋㪸㫋㪼㩷㫆㪽㩷㪚㪿㪸㫉㪾㪼
Minimum voltage Maximum voltage
Fig. 4. SOC vs. internal voltage(LIM60H)
࠴࠙ࡓࠗࠝࡦ
2ᰴ㔚ᳰߩ┵ሶ㔚ߪ㔚ᳰߩో
ߥㆇ↪㧘ഠൻᛥߩߚ㧘ᜰቯ㔚એౝߦᱜ⏕ߦ⛽
ᜬߒߥߌࠇ߫ߥࠄߥ㧚ౝㇱ㔚ߪల㔚₸ߩჇടߦ
㜞ߊߥࠆߚ㧘㜞ల㔚₸㗔ၞߢߪᦨᄢల㔚㔚ᵹ IMAXએਅߢߞߡ߽㧘㔚ᳰᦨᄢ㔚VBMAXࠍ߃ᦨ ᄢ㔚ᵹߦࠃࠆల㔚߇ਇน⢻ߣߥࠆ႐ว߇ࠆ㧚ห᭽
ߦ㧘ૐల㔚₸㗔ၞߢߪ㔚ᳰᦨૐ㔚ߦࠃࠅ㔚㔚ᵹ ߇㒢ߐࠇࠆ㧚
Table 1
ߦ␜ߔኈ㊂60Ah
ߩ࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰߩల㔚₸ߦኻߔࠆᦨᄢల㔚㔚ᵹߩ․ᕈࠍ
Fig. 5
ߦ␜ߔ㧚ᧄ㔚ᳰߦ߅ߌࠆᦨᄢ㔚ᵹIMAX
=600A(10C)
ߢల㔚น⢻ߥల㔚₸ߪ36%
એਅߢࠆ㧚ߎߩ୯ߪᄢ㔚ᵹల㔚߇น⢻ߥ㔚ᳰ߶ߤૐਅߔ ࠆะߦࠆ㧚ᓥߞߡ㧘ల㔚₸߇
36%
ࠍ߃ߚ႐ว ߦߪల㔚ߦࠃࠆ㔚ᳰߩ┵ሶ㔚ࠍᬌ⍮ߒߡల㔚㔚 ᵹࠍ㒢ߔࠆ㧚ࠃߞߡ㧘࿁↢㔚ജࠍචಽߦๆߔࠆ ߦߪ㧘ల㔚₸߇36%
એਅߩ㗔ၞߦ߅ߡ㔚ᳰࠍ↪ߔߴ߈ߢࠆ㧚ㅒߦ㧘ᦨᄢ㔚㔚ᵹߪల㔚₸ߩૐ
㗔ၞߦ߅ߌࠆਅ㒢㔚ߩ㒢ࠍฃߌࠆ㧚㔚㔚ᵹߩ
ᦨᄢ୯ߪ㧘ల㔚₸߇Ⴧടߔࠆߎߣߦࠃࠅᰴ╙ߦჇട
ߒల㔚₸
27㧑ߢ 600A(10C)㔚߇น⢻ߦߥࠆ㧚ᄢ㔚
ᵹㆇォ㗔ၞߢߩ㒢ߪᧄ㔚ᳰߦ㒢ࠄߕ࠴࠙ࡓࠗ
ࠝࡦ
2
ᰴ㔚ᳰߩㅢߩ․ᕈߢࠆ㧚࿁↢㔚ജࠍല ߦๆߔࠆߦߪ㔚ᳰߩ㒢ࠄࠇߚㆇォ㗔ၞࠍലᨐ⊛ߦ↪ߔࠆㆇォᴺߣᓮ߇ᔅⷐߣߥࠆ㧚
ᧄ㔚ജ⾂⬿ⵝ⟎ߪ࿁↢ߦࠃࠆ᨞✢㔚ᛥ
ࠍਥ⋡⊛ߣߒߡࠆߚ㧘ਥേ㗔ၞࠍૐల㔚₸
ߣߒߡ࿑ߦ␜ߔࠃ߁ߦᦨᄢ㔚ᵹ IMAX
(600A)ߢల㔚
ࠍⴕ㧘IMAX/2(=300A)
ߢ㔚ߔࠆߎߣࠍᓮၮᧄࡄ࠲ࡦߣߒߚ㧚ߥ߅㧘┵ሶ㔚߇ቯᩰ㔚ࠍ߃ࠃ ߁ߣߔࠆ႐วߦߪ㧘ቯ㔚ᵹᓮ߆ࠄల㔚ᤨߦߪ㔚ᳰ ᦨᄢ㔚㧘㔚ᤨߦߪ㔚ᳰᦨૐ㔚ࠍ⋡ᮡ୯ߣߒߚ ቯ㔚ᓮߦ⒖ⴕߔࠆ㧚ߎࠇߦࠃࠅల㔚㔚ᵹߪ⛉
ࠅㄟ߹ࠇࠆ㧚
S.O.C(%)=StateofCharge
ChargeCurrent(A)
600 500 400 300 200 100
0 20 40 60 80 100
Charge
Charge Discharge
Discharge
Fig. 5. Charge and discharge cycle
3.4 㔚ᳰౝㇱᛶ᛫ߩ᷷ᐲ․ᕈ ᐕ㑆ߩ᷷ᐲ ᄌേ߇ỗߒᚒ߇࿖ߩደᄖ⸳ߣߒߡ㔚ജ⾂⬿ⵝ
⟎ࠍ⸳⟎ߔࠆ႐ว㧘࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰߩౝㇱ ᛶ᛫ߩ᷷ᐲ․ᕈߪήⷞߢ߈ߥ㧚ᄖ᳇ߩ⥄ὼᓴⅣߦ ࠃࠅ಄ළࠍⴕ߃߫߇ኈᤃߣߥࠆ߇㧘ᄖ᳇᷷ᐲߩ ᄌൻ߇㔚ᳰߩᕈ⢻ߦᄢ߈ߥᓇ㗀ࠍ߷ߔ㧚࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰߩ⊒ᾲߣᄖ᳇ߩ⥄ὼᓴⅣߦࠃࠆ಄ළലᨐࠍ⸳⸘ߔࠆߚߩၮ␆࠺࠲ߣߒߡ㧘㔚ᳰ᷷
ᐲߣౝㇱᛶ᛫ߩ᷹ቯࠍⴕߞߚ⚿ᨐࠍ
Fig. 6
ߦ␜ߔ㧚࿑ਛߩታ✢ߪ㔚ᳰߩ㐿⊒⋡ᮡ୯ߢ㧘ࡑࠞߪ⸳⟎
ᓟ⚂
1.5
ᐕᓟ⚻ㆊߒߚᓟߩታ᷹࠺࠲ߢࠆ㧚᷹ቯ ୯ߩ᷷ᐲᄌൻߪ⋡ᮡ୯ߩᄌൻߣ߶߷╬ߒߊ㧘࿑ࠃࠅ Ᏹ᷷25
͠ߦ߅ߌࠆౝㇱᛶ᛫୯ߦኻߒߡ㔖ᐲઃㄭߢ ߪ⚂2
㧘ᦨ㜞↪᷷ᐲ65͠ߦ߅ߡߪ⚂ 1/2
ߣߥ ࠆ㧚ૐ᷷ᤨߩ࠴࠙ࡓࠗࠝࡦ2
ᰴ㔚ᳰౝㇱᛶ᛫ߩჇ ടߪ㧘㔚ജ⾂⬿ⵝ⟎ߩᕈ⢻ߦᄢ߈ߥᓇ㗀ࠍਈ߃ࠆ㧚 ߔߥࠊߜ㧘ౝㇱᛶ᛫㔚㒠ਅߩჇടߦࠃࠅ㔚ᳰ㔚߇ߒ㧘ల㔚㔚ᵹࠍ⛉ࠅㄟቯ㔚ᓮߦ⒖ⴕߒ㧘
࿁↢ࠛࡀ࡞ࠡߩๆ₸߇ૐਅߔࠆᕟࠇ߇ࠆ㧚ߘ ߎߢ㧘ૐ᷷ᤨߦߪࠦࡦࡃ࠲ߣ⋥㔚ᳰ߆ࠄߥࠆ࡙
梅 田 繁 樹 ・ 延 原 隆 良 ・ 長 岡 直 人 ・ 雨 谷 昭 弘
167
࠾࠶࠻㑆ߢల㔚ߒߡ㔚ജߩฃࠍⴕ㧘ౝㇱᛶ᛫
ߦࠃࠆ⥄Ꮖ⊒ᾲߦࠃࠅ㔚ᳰ᷷ᐲࠍ⛽ᜬߔࠆᓮᯏ
⢻ࠍታ↪ᯏߦタߒߚ㧚ઃ㍳
A
㨯2
ߦ⸥タߒߚ㔚ᳰౝㇱᛶ᛫ߩേᤨ᷹ቯⵝ⟎ߦࠃࠅ㧘౻ቄߦ߅ߡ߽
㔚ᳰౝㇱᛶ᛫ߩ⇣Ᏹߥ㜞୯߇⸥㍳ߐࠇߡߥߎ ߣࠃࠅ㧘ߎߩ᷷ᐲᓮᯏ⢻ߪലߦേߒߡࠆ߽
ߩߣ⠨߃ࠄࠇࠆ㧚
㪇㪅㪇㩷 㪇㪅㪌㩷 㪈㪅㪇㩷 㪈㪅㪌㩷 㪉㪅㪇㩷
㪇 㪈㪇 㪉㪇 㪊㪇 㪋㪇 㪌㪇
㪠㫅㫋㪼㫉㫅㪸㫃㩷㫉㪼㫊㫀㫊㫋㪸㫅㪺㪼㩷㩿㫄㱅㪀
㪚㪼㫃㫃㩷㫋㪼㫄㫇㪼㫉㪸㫋㫌㫉㪼 㩿㷄㪀 㪠㫅㫀㫋㫀㪸㫃㩷㫍㪸㫃㫌㪼
䂦14/May/2006 15:17 䂔17/May/2006 06:06 㬍22/May/2006 14:18
Fig. 6. Internal resistance vs. Temp.
3.5 㔚ജ⾂⬿ⵝ⟎ߩၮᧄ㔚ᵹࡄ࠲ࡦ ၮ ᧄ⸳⸘ߦ↪ࠆേ㔚ᵹࡄ࠲ࡦߪ੩㒋ㇺᔃㇱ ߦ߅ߌࠆᐔဋ⊛ߥ㔚ゞ࠳ࠗࡗ߆ࠄ㧘
Fig. 7
ߩࠃ߁ߦ ల㔚ᤨ㑆TBߪ30
⑽㧘㔚ᤨ㑆TPߪ60
⑽ߣቯߚ㧚ਔᤨ㑆ߪ
Fig. 1
ߦ␜ߔ㔚ゞ㔚ᵹߩㅢᵹᤨ㑆ࠃࠅߦዊߢࠆ߇㧘ߎࠇߪ㧘3.6 ▵ߢㅀߴࠆࠃ߁ߦ㧘᨞✢
㔚ᄌേ߇ዊߔߥࠊߜ㔚ゞ㔚ᵹ߇ዊߥࠆ㗔ၞߢߪ ᧄ㔚ജ⾂⬿ⵝ⟎ߪભᱛߔࠆߎߣߦࠃࠆ㧚
Fig. 7
ߦ␜ߔㅢᵹᤨ㑆ߪᄢ㔚ᵹ㗔ၞߩᐔဋ⊛ߥᤨ㑆ߦኻᔕߔ ࠆ㧚㔚ജ⾂⬿ⵝ⟎ߪ࿁↢ࠛࡀ࡞ࠡࠍലߦ↪ߔ ࠆߣߦ㧘᨞✢㔚ࠍૐᷫߔࠆߚߦ↪ࠆߩ ߢ㧘ల㔚․ᕈࠍ߹ߕቯ㧘㔚․ᕈߪల㔚㔚ജ߇ ဋⴧߔࠆࠃ߁ߦ⸳⸘ߔࠆ㧚ల㔚ᤨ㑆ߪ㔚ᤨ㑆ߩ⚂
1/2
ߢࠆ߆ࠄ㧘࿁↢㔚ᵹࠍ㔚ᳰ࡙࠾࠶࠻ߩᦨᄢ㔚 ᵹ(I
MAX=600A)
ߢ ల 㔚 ߔ ࠆ ߣ 㧘 㔚 㔚 ᵹ ࠍ IMAX×T
B/T
P=300A
ߣߔࠇ߫㧘ల㔚㊂߇ᐔⴧߔࠆ㧚600A
-300A
30S 30S 60S
300S 180S
Current Time
discharge Charge
600A
-300A
30S 30S 60S
300S 180S
Current Time
discharge Charge
Fig. 7. Current model of Battery
ల㔚㔚ᵹࠃࠅ㔚㔚ᵹ߇ዊߐߚ㧘ᾲ⽿ോߪల 㔚ࡕ࠼ߢቯ߹ࠅ㧘⊒ᾲߩਥ࿃ߪ
IGBT
ߩࠬࠗ࠶࠴ࡦࠣ៊ᄬߢࠆ㧚ࠬࠗ࠶࠴ࡦࠣᵄᢙߪߎߩ៊ᄬ ߣ㧘ାภ♽߳ߩ⺃ዉ㧘ⵝ⟎ኈⓍࠍ⠨ᘦߒゞਔߩ
VVVF
ࠗࡦࡃ࠲ߢណ↪ߐࠇߡࠆㄭறߩᵄᢙ700Hz
ߣቯߚ㧚ߎߩᵄᢙࠍ㜞ࠆߎߣߦࠃࠅ㧘ࠕࠢ࠻࡞╬ߩዊဳൻ߽น⢻ߢࠆ߇㧘ᧄⵝ⟎ߪ
ߦ⸳⟎ߔࠆߚ㧘ోߦ㑐ߔࠆᦨ㊀ⷐ㗄ߢࠆ
ାภ࿁〝߳ߩᓇ㗀ߥࠄ߮ߦૐ៊ᄬൻࠍఝవߒߚ㧚 3.6 㔚ജ⾂⬿ⵝ⟎ߩᓮ ೨┨ߢㅀߴߚࠃ ߁ߦ㧘᨞✢㔚ᄌേߪ᨞✢㔚᳇ᛶ᛫ߩ㔚㒠ਅߦࠃ ࠅቯ߹ࠆߚ㧘ᄌ㔚ᚲਛ㑆ߢᦨ߽ᄢ߈ߊߥࠆ㧚ᓥߞ ߡ㧘ᄌ㔚ᚲਛ㑆ઃㄭߦ߅ߌࠆ㔚ജߩᶖ⾌߿⊒↢ࠍ
߆ߌዊߐߊߔࠆߎߣߦࠃࠅ㧘᨞✢㔚ᵹࠍᛥߒߡ ᄌേࠍዊߐߊߢ߈ࠆ㧚ߐࠄߦ㔚ゞߩㆇォ⁁ᴫࠍ⋥
ធ⍮ࠆߎߣ߇ߢ߈ߥ⸳ߩ㔚ജ⾂⬿ⵝ⟎ߪ㧘 ߎߩ㔚ᄌേࠍᬌ⍮ߒߡ㔚ᵹߩๆ߅ࠃ߮ଏ⛎
ᓮࠍⴕ߁ߎߣߦࠃࠅ㔚ቯൻࠍታߔࠆ㧚࿁↢㔚 ᵹ┙ߜ߇ࠅᤨ㑆ߣᲧߒߡࠃࠅᣇะࠦࡦࡃ࠲
ߩᔕ╵․ᕈࠍ㜞ㅦߣߔࠆߎߣߦࠃࠅ᨞✢㔚ߩᄌ
േࠍᛥߢ߈ࠆ㧚ߚߛߒ㧘
3.3
▵ߢㅀߴߚࠃ߁ߦ㧘 ᄢ㔚ᵹల㔚ࠍⴕ߁ߚߦߪ㔚ᳰ߇ૐల㔚₸㧘ߔߥࠊ ߜ㧘㔚ᳰ㔚߇ૐ⁁ᘒߢࠆߎߣ߇ᔅⷐߢࠆ㧚 ߎࠇߦࠃࠅ㧘㔚ᳰᦨᄢ㔚ߣߩᏅࠍචಽ⏕ߒ㧘ౝㇱᛶ᛫ߦࠃߞߡ㔚ᳰ┵ሶ㔚߇ߒߡ߽ᭂജቯ 㔚ᵹᓮ߆ࠄቯ㔚ᓮߦ⒖ⴕߒߡ㔚ᵹ߇⛉ㄟ߹
ࠇߥ⁁ᘒߣߔࠆ㧚
Fig. 4
ߪ㔚ᳰߩల㔚₸߇ᦨㆡߥ⁁ᘒߦ߅ߌࠆࡈࠖ࡞࠼⹜㛎ᤨߩ㔚ᳰ┵ሶ㔚ߩ ᄌേ․ᕈࠍ␜ߒߡࠆ㧚ᓥߞߡ㧘ల㔚₸ࠍㆡᒰߦ
ᓮߔࠆߎߣߦࠃࠅ㧘ᧄⵝ⟎ࠍታ߈㔚♽⛔ߦㆇ↪ߒߡ
߽㧘Ꮏ႐⹜㛎⚿ᨐߣห᭽ߩ․ᕈ߇ᓧࠄࠇࠆߎߣ߇
ࠄ߆ߢࠆ㧚
Fig. 8
ߦ᨞✢㔚ߦࠃࠆ㔚ജ⾂⬿ⵝ⟎ߩᓮ․ᕈࠍ␜ߔ㧚㔚ജ⾂⬿ⵝ⟎ߪ㧘࿁↢⛉ㄟߺࠍ⊒↢ߐߖߥ
ࠃ߁ߦゞਔߩ࿁↢⛉ㄟߺ㐿ᆎ㔚㧔1700V⒟ᐲ㧕 એਅߩ V3ߢ࿁↢㔚ജࠍ⫾㔚㐿ᆎߒ㧘V2ࠃࠅ㔚߇ 㒠ਅߒߚᤨߦ㔚ߔࠆߎߣߦࠃࠅ㔚ᄌേࠍ✭
ߔࠆ㧚᨞✢㔚߇V3
-V
4㑆ߩల㔚㔚ᵹߪ㧘Icc߹ߢ⋥✢⊛ߦჇടߔࠆ㧚ߚߛߒ㧘㔚ᳰ┵ሶ㔚߇㒢㔚
ߦ㆐ߒߚᤨߦߪ㧘ᣇะࠦࡦࡃ࠲ࠍቯ㔚ᓮࡕ
࠼ㆇォߒ㧘ల㔚㔚ᵹࠍ⛉ࠅ㔚ᳰᦨᄢ㔚એਅߩേ
ߣߔࠆ㧚㔚ゞജⴕߦࠃࠅ᨞✢㔚߇ V2ࠃࠅૐߊ ߥࠆߣ㧘ࠦࡦࡃ࠲ߪࡕ࠼ߢേߒ㧘᨞✢㔚
߇V1
-V
2ߩ▸࿐ߦ߅ߡߪ㔚㔚ᵹߪ᨞✢㔚ߩ৻ᰴ㑐ᢙߣߒߡIcd߹ߢჇടߔࠆ㧚᨞✢㔚߇V1ࠃ ࠅૐ႐วߪ㧘ᦨᄢ㔚㔚ᵹIcdߣߒߡ㔚ࠍⴕ߁㧚
3.5
▵ߢㅀߴߚࠃ߁ߦ㧘㔚ᤨ㑆߇ల㔚ᤨ㑆ߩ⚂2
ߢࠆߎߣ߆ࠄ㧘ల㔚㔚⩄㊂ࠍ╬ߒߊߔࠆߚ
ల㔚ᦨᄢ㔚ᵹIccࠍ㔚ᳰߩᦨᄢల㔚㔚ᵹIMAX
(600 A)
㧘㔚ᦨᄢ㔚ᵹIcdࠍIMAX
/2(300 A)
ߣߔࠆ߇㧘㔚ゞߩ ㆇⴕࡄ࠲ࡦߦࠃࠅల㔚㔚⩄㊂߇ࡃࡦࠬߖߕ㧘 㔚ᳰల㔚₸ࠍ3.3
▵ߢㅀߴߚᦨㆡ୯ㄭறߦ⛽ᜬߔࠆ リチウムイオン2次電池を用いた直流電気鉄道用電力貯蔵装置の試験168
ߎߣ߇࿎㔍ߢࠆ㧚ߘߎߢ㧘
Fig. 8 (a)
ߦ␜ߔࠃ߁ߦ 㔚ജ⾂⬿ⵝ⟎ߩᓙᯏ⁁ᘒ(V2-V
3)ߦ߅ߡᦨㆡߥల
㔚₸ߣߥࠆࠃ߁㔚ᵹ Icrߦߡ⺞ᢛల㔚ࠍⴕ߁ᯏ⢻ࠍㅊടߒߡ
Fig. 4
ࡈࠖ࡞࠼⹜㛎⚿ᨐߦ␜ߔࠃ߁ ߦ㧘ℂᗐ⊛ߥల㔚ࠨࠗࠢ࡞ࠍታߒߚ㧚ᧄᣇᑼߪᓮ߇ኈᤃߢࠆ߇㧘ᓙᯏᤨߦⵝ⟎ࠍㆇォߔࠆߚ
㧘㔚ജ៊ᄬ㧘㔚ᳰኼߩⷰὐ߆ࠄᦝߥࠆᡷ⦟߇ᔅ ⷐߢࠆ㧚ߘߎߢ㧘
Fig. 8 (b)
ߦ␜ߔᡷༀࠍട߃ࠆ㧚 ᦨᄢ㔚㔚ᵹ IcdࠍჇᷫߔࠆߎߣߦࠃࠅ㧘ల㔚₸ߩ ᦨㆡᓮ߇ߢ߈ࠆ㧚ߔߥࠊߜ㧘ల㔚₸߇ᦨᄢల㔚㔚 ᵹ㒢⇇୯ (36%)ߦㄭߠߊߣᦨᄢ㔚㔚ᵹ IcdࠍჇട ߐߖ㧘ᰴ࿁ߩ㔚㊂ࠍჇടߐߖࠆߎߣߢల㔚₸ࠍૐᷫ ߒ 㧘 ߘ ߩ ᓟ ߩ ల 㔚 ߦ ߅ ߡ ᦨ ᄢ ల 㔚 㔚 ᵹ
IMAX
(600A)
ࠍ⏕ߔࠆ㧚߹ߚ㧘ల㔚₸߇ૐਅߒߚ႐วߦߪ㧘Icdࠍዊߦߒߡᰴ࿁ߩ㔚ࠍᛥ߃㧘ల㔚₸ߩ ᄌേࠍᦨㆡ㗔ၞߣߔࠆ㧚ߥ߅㧘ᧄⵝ⟎ߪ᨞✢㔚
ࠍᛥߔࠆߎߣࠍ╙৻⋡⊛ߣߔࠆߚ㧘ᦨᄢ
㔚㔚ᵹIccߪIMAX৻ቯߣߔࠆ㧚ߎߩᣂᓮᴺߪᢙ୯
ࠪࡒࡘ࡚ࠪࡦߦࠃࠅߘߩലᨐࠍ⏕ߒߡ߅ࠅ㧘
ᰴᦼታ↪ᯏߦタ੍ቯߢࠆ㧚
(a) Conventional control function (b) Improved control function
Fig. 8. Control characteristic
3.7 㔚ᳰኈ㊂ ᧄ⺰ᢥߩ⹜㛎ߦ↪ߒߚ⋥
ᵹ㔚᳇㋕↪㔚ജ⾂⬿ⵝ⟎ߪ㧘↪น⢻ߥᄢኈ
㊂࠴࠙ࡓ
2
ᰴ㔚ᳰߦࠃࠅࠦࡦࡃ࠲ߩኈ㊂ࠍᦨ ㆡൻߒߡ߅ࠅ㧘ߎࠇࠍ1
࡙࠾࠶࠻ߣߒߡⶄᢙਗㆇ↪ߔࠆߎߣߦࠃࠅᚲⷐߩኈ㊂ࠍᓧࠆߎߣ߇ࠦࠬ࠻
ߩⷰὐ߆ࠄ߽วℂ⊛ߢࠆ㧚ᦨㆡߥਗ࡙࠾࠶࠻ᢙ ߪ㧘㔚ゞ㔚ᵹ㧘ᄌ㔚ᚲ㑆㓒㧘ߘߩ㑆ߩ㚞ߣ㔚ജᦨ⾂
⬿ⵝ⟎ߩ⟎ࠍ⠨ᘦߒߚ⚦ߥᬌ⸛ߦࠃࠅቯߔ ࠆᔅⷐ߇ࠆ㧚ߎߩᬌ⸛ߪ➅ࠅߒ⸘▚ߣߥࠆߩߢ㧘
Fig. 9
ߦ␜ߔታ߈㔚࿁〝ࠍᮨᡆߒߚ㔚᳇࿁〝㧘Fig.10
ߦ␜ߔᓮ࿁〝ࠍ↪ߡ(8)㧘᳢↪࿁〝⸃ᨆࡊࡠࠣࡓ
EMTP (Electromagnetic Transients Program)ࠍ↪
ߡࠪࡒࡘ࡚ࠪࡦߦࠃࠅᬌ⸛ߒߚ㧚ߥ߅㧘
EMTP
ߪᓮ࿁〝ࠍߔࠆTACS (Transient Analysis of Control Systems)
ࠍߒߡ߅ࠅ㧘࠴࠙ࡓࠗࠝࡦ㔚ᳰ ߩ㔚ల㔚₸․ᕈ㧘㔚ജ⾂⬿ⵝ⟎ߩᓮ․ᕈࠍኈᤃߦታߢ߈ࠆ․ᓽࠍߔࠆ㧚
Fig. 9
ߦ␜ߔ࿁〝ߦ߅ߡRP㧘RQߪᄌ㔚ᚲౝㇱᛶ᛫ࠍࠊߒ
0.028:0.020:ߣߒߚ㧚߹ߚ㧘᨞✢ᛶ᛫
Rfk㧘 ࡞ ᛶ ᛫ Rrk ߪ ߘ ࠇ ߙ ࠇ
0.023:/km
㧘0.017:/km
ߢࠆ㧚㔚ᵹḮIS㧘Itߪߘࠇߙࠇ㧘㔚ജ⾂⬿ⵝ⟎ߣ㔚ゞ㔚ᵹࠍࠊߔ㧚
Fig. 10
ߦ␜ߔᓮ࿁〝ߢߪ㧘ల㔚₸ࠍ㔚ᳰ㔚ᵹIBߩⓍಽߦࠃࠅ᳞㧘⋡ᮡల㔚₸㧔
27%
㧕ߣߩᏅ⇣ߦ ࠃࠅᦨᄢ㔚㔚ᵹ Icdࠍቯࠆ㧚㔚᳇࿁〝⸘▚⚿ᨐ ߆ࠄᓧࠄࠇࠆ᨞✢㔚ߦࠃࠅ㔚ᳰ㔚ᵹࠍቯ㧘ߎࠇ ࠍ(1)ᑼߦ␜ߔᄌ឵₸ࠍਸ਼ߓߡᧄⵝ⟎ߩജ㔚ᵹ ISߣߔࠆ㧚
EMTP
ࠪࡒࡘ࡚ࠪࡦࠃࠅᓧࠄࠇߚ㔚ᳰ࡙࠾࠶࠻ᢙߣ㔚ቯൻߩലᨐࠍᓮ㑐ᢙߣߦ
Fig.
11
ߦ␜ߔ㧚㔚ജ⾂⬿ⵝ⟎ߩਗᢙࠍჇടߔࠆߦ㧘ᦨᄢ㔚ᦨૐ㔚߇ᓮ㑐ᢙߩ V1㧘V4ߦ
᧤ߔࠆ߇㧘ߘߩലᨐߪ㘻ߔࠆ㧚
Fig. 11
ࠃࠅ㧘ᧄ⺰ᢥߢኻ⽎ߣߒߡࠆ㋕✢〝ߦ߅ߌࠆวℂ⊛ߥਗ
ᢙߪ㧘
4
࡙࠾࠶࠻ߢࠆߎߣ߇ࠊ߆ࠆ㧚㔚ജ⾂⬿ⵝ⟎ࠍ࡙࠾࠶࠻ൻߒߡ↢↥ߔࠆߎߣߢනଔࠍૐਅ ߐߖ㧘ࠪࡒࡘ࡚ࠪࡦߦࠃࠅਗบᢙࠍቯߔࠆ ߎߣߢ㧘㜞ࠦࠬ࠻ࡄࡈࠜࡑࡦࠬ߇ᓧࠄࠇࠆ㧚
Fig. 9. A model circuit for EMTP simulation
Fig. 10. A control circuit for EMTP simulation discharge
+ 㧙 K
charge V4
V3
V2
Icc
0V1
Icd
1 s
Icd
IB
SOC Target
SOC VB
VB
(t = 0)
Battery
Initial SOC SOC
Icdmax
Icdmin
Line voltage
A
It
R
f2R
f3R
PP Q
Train
R
r2R
r3R
r1R
f1Compensator IS
4.3 km B 0.3 km
R
QRail
E
P4.0 km
E
Q IBVL
Icd
charge
dischargeV1
V4
V3
V2
Icc
Icr
V1
V4
Icc
IB
VL
Icd
discharge V3
V2
charge
Feeder line
梅 田 繁 樹 ・ 延 原 隆 良 ・ 長 岡 直 人 ・ 雨 谷 昭 弘
169
㪄㪈㪇㪇㪇 㪄㪏㪇㪇 㪄㪍㪇㪇 㪄㪋㪇㪇 㪄㪉㪇㪇 㪇 㪉㪇㪇 㪋㪇㪇 㪍㪇㪇 㪏㪇㪇
㪈㪇㪇㪇 㪈㪉㪇㪇 㪈㪋㪇㪇 㪈㪍㪇㪇 㪈㪏㪇㪇 㪉㪇㪇㪇
㪣㫀㫅㪼㩷㫍㫆㫃㫋㪸㪾㪼㩷㩿㪭㪀
㪙㪸㫋㫋㪼㫉㫐㩷㪺㫌㫉㫉㪼㫅㫋㩷㩿㪘㪀
㪇 㪌 㪈㪇 㪈㪌 㪉㪇 㪉㪌 㪊㪇 㪊㪌 㪋㪇 㪋㪌
㪫㪿㪼㩷㫅㫌㫄㪹㪼㫉㩷㫆㪽㩷㪹㪸㫋㫋㪼㫉㫐㩷㫌㫅㫀㫋㫊
4㸢 㸠4
VMAX
VMIN
0 0
number of unit Control characteristic
V1=1500V V2=1530V
V4=1700V
V3=1670V
㪄㪈㪇㪇㪇 㪄㪏㪇㪇 㪄㪍㪇㪇 㪄㪋㪇㪇 㪄㪉㪇㪇 㪇 㪉㪇㪇 㪋㪇㪇 㪍㪇㪇 㪏㪇㪇
㪈㪇㪇㪇 㪈㪉㪇㪇 㪈㪋㪇㪇 㪈㪍㪇㪇 㪈㪏㪇㪇 㪉㪇㪇㪇
㪣㫀㫅㪼㩷㫍㫆㫃㫋㪸㪾㪼㩷㩿㪭㪀
㪙㪸㫋㫋㪼㫉㫐㩷㪺㫌㫉㫉㪼㫅㫋㩷㩿㪘㪀
㪇 㪌 㪈㪇 㪈㪌 㪉㪇 㪉㪌 㪊㪇 㪊㪌 㪋㪇 㪋㪌
㪫㪿㪼㩷㫅㫌㫄㪹㪼㫉㩷㫆㪽㩷㪹㪸㫋㫋㪼㫉㫐㩷㫌㫅㫀㫋㫊
4㸢 㸠4
VMAX
VMIN
0 0
number of unit Control characteristic
V1=1500V V2=1530V
V4=1700V
V3=1670V
Fig. 11. Number of Battery units vs. voltage fluctuation
4.ࡈࠖ࡞࠼⹜㛎⚿ᨐ
4.1 㔚ᳰౝㇱᛶ᛫ 㔚ᳰ
1
࡞ߩౝㇱᛶ᛫ߩផ⒖ࠍ
Fig. 12
ߦ␜ߔ㧚ߎࠇߦߪㆇォਛߩ㔚ᳰౝㇱᛶ᛫ࠍ᷹ቯߔࠆᔅⷐ߇ࠆ߇㧘ᢥ₂
(13)
ߢႎ๔ߒ ߚ᷹ቯⵝ⟎㧔ઃ㍳A
㨯2
㧕ߦࠃࠅㅪ⛯᷹ⷰࠍน⢻ߦߒ ߚ㧚࡞ߩ㈩⟎ߦࠃࠅᾲ․ᕈ߇⇣ߥࠆߚ㧘ฦ㔚 ᳰࡉࡠ࠶ࠢߩ⇣ߥࠆ⟎ߩ࡞ࠍㆬᛯߒߡౝㇱᛶ᛫ࠍ᷹ቯߒߚ㧚
Fig. 12
ߪ᷹ቯߒߚ࡞නߩౝㇱᛶ᛫ࠍ
Fig. 6
ߦ␜ߔ᷷ᐲ․ᕈߦࠃࠅ25
͠឵▚ߒߚ୯ߢࠆ㧚േ⊛ߥ᷹ቯߢࠆߩߢ⧯ᐓߩ߫ࠄߟ߈ߪ
ࠆ߇ౝㇱᛶ᛫୯ߪ㔚ᳰ⟎ߦࠃࠄߕ
0.8mȍ
ߢቯ ߒ㧘ഠൻߦ߁ะߪᧂߛ᷹ⷰߐࠇߡߥ㧚ᓟ㧘⛮⛯ߒߡ⋙ⷞߒߡࠁߊ੍ቯߢࠆ㧚
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
2006/11/01 2007/05/01 2007/11/01 2008/05/01 2008/11/01 2009/05/01 2009/11/01
Internalresistanceat25͠䋨mɏ䋩
Fig. 12. Process of internal resistor at 25͠
4.2 ߈㔚㔚ಽᏓ
Fig. 13
ߦ㔚ജ⾂⬿ⵝ⟎⹜ᯏ
1
࡙࠾࠶࠻ߩߺߩㆇォᤨߣᱛᤨߘࠇߙࠇ ඦ೨10
ᤨ߆ࠄඦᓟ4
ᤨ2
ᣣ㑆㧔ว⸘4
ᣣ㑆㧕ߩ߈ 㔚㔚ಽᏓ᷹ቯ⚿ᨐࠍ␜ߔ㧚ߘࠇߙࠇߩ㔚ᄌേಽ Ꮣߦߪౣᕈ߇ࠅ㧘㔚ജ⾂⬿ⵝ⟎ߩലᨐࠍචಽᬌ⸽น⢻ߣ⠨߃ࠄࠇࠆ㧚࿑ਛ⎕✢ౝߦ␜ߔࠃ߁ߦ㧘 ᧄⵝ⟎ߩᱛᤨߦ᷹ⷰߐࠇߚ㜞㔚⊒↢⏕₸߇㧘ⵝ⟎
ㆇォߦࠃࠅૐਅߒ㧘ᦨᄢ㔚ߪ
1800V
એਅߣߥߞ ߡࠆ㧚ߎࠇߪ㧘Fig. 11
ߦ␜ߔ࡙࠾࠶࠻1
บᤨߩ⚿ᨐߣࠪࡒࡘ࡚ࠪࡦ⚿ᨐߣ╬ߒ㧚߹ߚ㧘ߎࠇߦ ኻᔕߒߡ࿑ਛታ✢ౝߦ␜ߔࠃ߁ߦ
1710V
ㄭறߩ ಽᏓ߇ⵝ⟎ߩㆇォߦࠃࠅჇടߒߡࠆ㧚ߎߩ㔚ಽᏓߩᄌൻߪ㧘ᧄⵝ⟎߇࿁↢㔚ജࠍๆߒߚലᨐߢ
ࠆ㧚ߥ߅㧘1࡙࠾࠶࠻ㆇォߢߪ㜞㔚߇ଐὼ⊒↢ߒ ߡࠆ߇㧘ߎࠇߪ
3.7
▵ߢㅀߴߚࠃ߁ߦ㧘ᧄⵝ⟎ߩ ㆇォ࡙࠾࠶࠻ᢙࠍ4
บߣߔࠆߎߣߦࠃࠅ㧘࿁↢⛉ࠅ ㄟߺߩ⊒↢ࠍ߶߷ߥߊߔ㔚߹ߢૐᷫน⢻ߣ⠨߃ ࠄࠇࠆ㧚㪄㪈 㪇 㪈 㪉 㪊 㪋 㪌 㪍 㪎 㪏 㪐
㪈㪊㪇㪇 㪈㪋㪇㪇 㪈㪌㪇㪇 㪈㪍㪇㪇 㪈㪎㪇㪇 㪈㪏㪇㪇
㪣㫀㫅㪼㩷㫍㫆㫃㫋㪸㪾㪼㩷㩿䌖㪀
㪩㪸㫋㪼㩷㩿䋦㪀
㫎㫀㫋㪿㩷㪸㩷㫊㫋㫆㫉㪸㪾㪼㩷㫌㫅㫀㫋 㫎㫀㫋㪿㫆㫌㫋㩷㪸㩷㫊㫋㫆㫉㪸㪾㪼㩷㫌㫅㫀㫋 㫎㫀㫋㪿㩷㪸㩷㫊㫋㫆㫉㪸㪾㪼㩷㫌㫅㫀㫋 㫎㫀㫋㪿㫆㫌㫋㩷㪸㩷㫊㫋㫆㫉㪸㪾㪼㩷㫌㫅㫀㫋
Fig. 13. Distribution of voltage
5.߹ߣ
ᧄ⺰ᢥߢߪ㧘⋥ᵹ㔚᳇㋕ߩ߈㔚㔚ቯൻߩߚ
㐿⊒ߒߚ࠴࠙ࡓࠗࠝࡦ
2
ᰴ㔚ᳰࠍណ↪ߒߚ㔚 ജ⾂⬿ⵝ⟎ߩ᭴ᚑ㧘ᓮᴺࠍ⸳⸘ߣ㧘ឭ᩺ⵝ⟎ߩേ․ᕈ⹜㛎ߩ⚿ᨐߦߟߡㅀߴߚ㧚ߎࠇࠃࠅએ ਅߩ㗄߇ࠄ߆ߣߥߞߚ㧚
1.
࿁↢㔚ജࠍലߦ↪ߒ㧘㔚ቯൻࠍ࿑ࠆߦ ߪ㧘ᄢဳ࠴࠙ࡓࠗࠝࡦ2
ᰴ㔚ᳰߩ㒢ࠄࠇߚㆇ ォ㗔ၞࠍലߦ↪ߔࠆߚ㧘ᦨᄢ㔚ᵹߢల㔚 น⢻ߥ㔚ᳰల㔚₸ࠍᭂജ⛽ᜬߔࠆᓮᯏ⢻߇ ᔅⷐߣߥࠆ㧚ᧄ⺰ᢥߢߪ㧘᨞✢㔚ߦࠃࠅల㔚㔚ᵹࠍਥߦቯߒ㧘㔚ᳰల㔚₸ߦࠃࠅᓙᯏᤨ
ߦ⺞ᢛల㔚ࠍⴕ߁◲ᤃߥᓮᴺࠍឭ᩺ߒ㧘ߘ ߩലᕈࠍታ᷹ߣࠪࡒࡘ࡚ࠪࡦߦࠃࠅ⏕
ߒߚ㧚߹ߚ㧘⺞ᢛ㔚ߦࠃࠄߕᦨᄢ㔚㔚ᵹ ࠍᓮߔࠆߎߣߦࠃࠅ㧘ᦨㆡల㔚₸ࠍ⛽ᜬߔࠆ ᚻᴺ߽ឭ᩺ߒߚ㧚ߎࠇߦࠃࠇ߫㧘៊ᄬૐᷫࠍ࿑
ࠆߎߣ߇ߢ߈㧘ㆇォല₸ࠍ㜞ࠆߎߣ߇น⢻ߣ ߥࠆ㧚
2. 㔚ᳰౝㇱᛶ᛫ߩߪ㧘㔚ᳰᦨㆡㆇォ㗔ၞࠍ⁜
㧘ലᨐ⊛ߥ᨞✢㔚ᄌേᛥ߇࿎㔍ߣߥࠆ㧚
⸳⟎㔚ജ⾂⬿ⵝ⟎ߢ㗴ߣߥࠆૐ᷷ᤨߩ ᛶ᛫ࠍ㒐ߋߚ㧘㔚ᳰ⥄Ꮖ⊒ᾲߦࠃࠅ᷷ᐲ ࠍ⛽ᜬߔࠆᓮᯏ⢻ࠍઃടߒ㧘౻ቄߦ߅ߡ߽
ቯߥㆇォࠍน⢻ߣߒߚ㧚߹ߚ㧘ౝㇱᛶ᛫ߩផ
⒖ࠍ⚂
2
ᐕ㑆᷹ቯߒ㧘ᛶ᛫୯Ⴧട߇᷹ⷰߐࠇߥࠃࠅ㧘⸵ኈ᨞✢㔚ࠍ⠨ᘦߒᓙᯏ㗔ၞࠍ
⸳ߌߚឭ᩺ᓮᴺߪ㧘ⵝ⟎ߩ㐳ኼൻߦ⽸₂ߒ ߡࠆߎߣࠍ⏕ߒߚ㧚
リチウムイオン2次電池を用いた直流電気鉄道用電力貯蔵装置の試験
170
3. ࠪࡒࡘ࡚ࠪࡦߦࠃࠅ㔚ജ⾂⬿ⵝ⟎ߩኈ㊂
㧔ਗធ⛯ᢙ㧕ߣ᨞✢㔚ᄌേߩ⸘▚ࠍ␜ߒߚ㧚ߎࠇࠃࠅ㧘วℂ⊛ߥኈ㊂ߪ㧘ᔅߕߒ߽࿁
↢㔚ജ㊂߆ࠄቯ߹ࠆℂ⺰ኈ㊂ߣߪߥࠄߕ㧘ࠪࡒ ࡘ࡚ࠪࡦߦࠃࠅ᨞✢㔚ᄌേߩ⸵ኈ▸࿐㧘
ࠦࠬ࠻ࠍ⠨ᘦߒߡቯߔࠆᔅⷐ߇ࠆ㧚ᧄ⺰ᢥ ߢᬌ⸛ߒߚ♽⛔ߦ߅ߡߪ㧘ℂ⺰ኈ㊂ߩ⚂
4
ഀ ߇ᦨㆡኈ㊂ߣߥߞߚ㧚4. ᄌ㔚ᚲߩਛ㑆ઃㄭߦ㔚ജ⾂⬿ⵝ⟎ࠍ⸳⟎ߒߡ
⹜㛎ߒߚ⚿ᨐ㧘㔚ᛥലᨐߪࠪࡒࡘ࡚ࠪ
ࡦ⚿ᨐߣ߶߷৻⥌ߒ㧘ലߦ᨞✢㔚ߩቯൻ ߇ታߢ߈ࠆߎߣ߇ࠄ߆ߣߥߞߚ㧚
ઃ ㍳
ޛA㨯1ޜ 㔚࠻ 㔚࠻
1C
ߣߪ㧘ḩ ల㔚ߒߚ࡞ࠍቯ㔚ᵹ㔚ߒߡ㧘1
ᤨ㑆ߢ㔚⚳ੌߣߥࠆℂ⺰㔚ᵹ୯ߩߎߣߢ㧘
60Ah
ߩ⒓ኈ㊂୯ߩ࡞ߢߪ
1C=60A
㧘10C=600A
ߢࠆ㧚㔚ᳰ․ᕈߪ 㔚ᵹߩ⛘ኻ୯ߢߪߥߊ㧘ኈ㊂୯ߦኻߔࠆ⋧ኻ⊛ߥᄢ ߈ߐߢቯ߹ࠆ㧚ߒߚ߇ߞߡ㧘㔚ᳰ․ᕈߪ㔚࠻㧔
C
୯㧕ࠍ↪ߚ⋧ኻ␜߇ᐢߊ↪ࠄࠇߡࠆ㧚 ޛA㨯2ޜ േ⊛ౝㇱᛶ᛫᷹ቯ ⵝ⟎ㆇォਛߩ㔚ᳰౝㇱᛶ᛫ߪ㧘࿑
A-1
ߦ␜ߔ࿁↢ᤨߦ⊒↢ߔࠆᕆỗ ߥ᨞✢㔚ߦࠃࠅ㓏Ბ⁁㔚ᳰ㔚ᵹ'I ߇ᵹࠇߚ ߣ߈ߦ↢ߕࠆ㔚ᳰߩ㔚ߩᕆᄌ'V ߦࠃࠅ᳞ࠆ㧚 㔚ᳰ┵ሶ㔚ߪల㔚ߩㅴⴕߦౝㇱ㔚ߩߦࠃࠅ✭߿߆ߦߔࠆ߇㧘㔚ᕆᄌᚑಽߪౝㇱᛶ
᛫ߦࠃࠅቯ߹ࠆ㧚ᢥ₂
(13)
ߢߪߎߩ․ᕈࠍ↪ߒߡ 'V/'Iߦࠃࠅ㔚ᳰߩౝㇱᛶ᛫ࠍ▚ߔࠆࡑࠗࠦࡦࠍ↪ߒߚౝㇱᛶ᛫᷹ቯེࠍ㐿⊒ߒߡㅪ⛯᷹ⷰࠍน
⢻ߦߒߚ㧚ߥ߅㧘㔚ᳰ㔚ᤨߦ߅ߡ߽㔚ૐਅߣ 㔚ᵹᄌൻߩᲧࠃࠅౝㇱᛶ᛫ࠍ᳞ᓧࠆ߇㧘৻⥸ߦ㔚 ゞടㅦᤨߩ㔚ᵹᄌൻߪ✭߿߆ߢⵝ⟎㔚ᳰ㔚ᵹ߇㓏 Ბ⁁ߣߥࠆߎߣߪዋߥ㧚ߒߚ߇ߞߡ㧘㔚ᳰ┵ሶ㔚
ߩૐਅ߇ౝㇱᛶ᛫㔚㒠ਅߣల㔚₸ߢቯ߹ࠆౝ
ㇱ㔚ૐਅߣߩߢਈ߃ࠄࠇ㧘♖ᐲ⦟᷹ቯ߇࿎㔍 ߣߥࠆ႐ว߇ࠆ㧚㐿⊒ߒߚേ⊛ౝㇱᛶ᛫᷹ቯⵝ⟎
ߪࡑࠗࠦࡦߦࠃࠅ㔚㔚ᵹᵄᒻࠍ⼂ߒ㧘⺋᷹ቯࠍ 㒐ᱛߒߡࠆ㧚
600 620 640 660 680 700 720 740
0 10 20 30 40
Time [s]
Voltage [V]
-200 0 200 400 600 800 1000 1200
Current [A]
Battery voltage Battery current
Open voltage
㼺V
㼺I
600 620 640 660 680 700 720 740
0 10 20 30 40
Time [s]
Voltage [V]
-200 0 200 400 600 800 1000 1200
Current [A]
Battery voltage Battery current
Open voltage
㼺V
㼺I
Fig. A-1. Voltage fluctuation at charging
ෳ ⠨ ᢥ ₂
(1) 㔚᳇ቇળ࿁↢ゞߣ߈㔚ࠪࠬ࠹ࡓߩද⺞ᛛⴚ⺞ᩏ
ኾ㐷ᆔຬળ ޟ࿁↢ゞߣ߈㔚ࠪࠬ࠹ࡓߩද⺞ᛛⴚ ߩ⁁ߣᓟߩࠅᣇޠ 㔚᳇ቇળᛛⴚႎ๔ ╙ 875ภ㧘ISSN 0919-9195㧘pp.4-5 (2002-6)
(2) 㔚᳇ቇળ࿁↢ゞߣ߈㔚ࠪࠬ࠹ࡓߩද⺞ᛛⴚ⺞ᩏ ኾ㐷ᆔຬળ ޟ࿁↢ゞߣ߈㔚ࠪࠬ࠹ࡓߩද⺞ᛛⴚ ߩ⁁ߣᓟߩࠅᣇޠ 㔚᳇ቇળᛛⴚႎ๔ ╙ 875ภ㧘ISSN 0919-9195㧘pp.39-41 (2002-6) (3) K. Kawahara, S. Hase, H. Morimoto, S. Umeda, N.
Takahashi ‘Compensation of Voltage Drop using Substation Support Equipment for DC Feeding System’ IEE Japan, Vol. 123-D, No. 1, pp.38-42 (2003-1)(in Japanese)
Ꮉේ ᢘᴦ㐳⼱ િ৻ᧄ ᄢⷰ᪢↰ ❥᮸
㜞ᯅೣ㓶ޟ⋥ᵹ߈㔚࿁〝ߦ߅ߌࠆᄌ㔚ᚲቢⵝ⟎
ߦࠃࠆ㔚㒠ਅኻ╷ޠ㧘㔚᳇⺰D㧘123, 1, pp.38-42 (2003-1)
(4) 㔚᳇ቇળ࿁↢ゞߣ߈㔚ࠪࠬ࠹ࡓߩද⺞ᛛⴚ⺞ᩏ ኾ㐷ᆔຬળ ޟ࿁↢ゞߣ߈㔚ࠪࠬ࠹ࡓߩද⺞ᛛⴚ ߩ⁁ߣᓟߩࠅᣇޠ 㔚᳇ቇળᛛⴚႎ๔ ╙ 875ภ㧘ISSN 0919-9195㧘pp.32-35 (2002-6) (5) ᧄ↰ ⋥ᔒ, ᷡ᳓ ቁᶈ, ⬵Ꮉ ⑲, ⺪Ỉ ᥙ, ᐔ᧻
ᱜት, 㜞ᯅ ᘕ, ዊ ᱞผ, 㐳⼱ િ৻ޟ⋥ᵹ㔚᳇
㋕ߩ㔚ജ࿁↢ࠛࡀ࡞ࠡๆ↪ࠠࡖࡄࡐࠬ࠻ߩ ㆡ↪ޠ㔚᳇ቇળో࿖ᄢળ 5-055 (2008)
(6) ᮮ↰ ᷡ৻ޟᄢဳ࠾࠶ࠤ࡞᳓⚛㔚ᳰߩ㐿⊒ߣ㋕߳
ߩᔕ↪ޠ㔚᳇ቇળ㑐ᡰㇱ ኾ㐷⻠⠌ળ (2008-11) (7) Umeda, S., Ishii, J., Nagaoka, N., Oue, H., Mori, N., and Ametani, A., ‘Energy Storage of Regenerated Power on DC Railway System using Lithium-Ion Battery’, Proc. International Power Electronics Conference, Niigata, Japan, pp. 455-460 (2005) (8) Nagaoka, N., Oue, H., Sadakiyo M., Mori, N., and
Ametani, A., Umeda, S., Ishii, J., ‘Power Compensator using Lithium-Ion Battery for DC Railway and its Simulation by EMTP’, Proc. IEEE 63rd Vehicular Technology Conference, Melbourne, Australia, 0-7803-9392-9/06 (2006)
(9) 㔚᳇ቇળඨዉ㔚ജᄌ឵ࠪࠬ࠹ࡓ⺞ᩏኾ㐷ᆔຬ
ળ✬ޟࡄࡢࠛࠢ࠻ࡠ࠾ࠢࠬ࿁〝ޠ㧘ࠝࡓ␠㧘
᧲੩㧘pp.262-264 (2000)
(10) ᣣᧄ㔚ᳰᩣᑼળ␠ ޟᦨᣂ ታ↪ੑᰴ㔚ᳰ ߘߩ
ㆬ߮ᣇߣᣇޠ ᣣᧄ㔚ᳰᩣᑼળ␠✬ ᣣೀᎿ
ᬺᣂ⡞␠㧘pp.261-271 (2001)
(11) Nagaoka, N., Sadakiyo, M., Mori, N., Ametani, A., Umeda, S., and Ishii, J., ‘Effective control method of power compensator with Lithium-Ion battery for dc.
Railway system’ Proc. University Power Engineering Conference, Newcastle upon Tyne, Paper FAT-14c (2006-9)
(12) Sadakiyo, M., Nagaoka, N., Ametani, A., Umeda, S., and Nakamura, Y., ‘An Optimal Operating Point Control of Lithium-Ion Battery in a Power Compensator for DC Railway System’, Proc.
University Power Engineering Conference, Brighton, pp. 681-686 (2007-9).
(13) Umeda, S., Nakamura, Y., Ishii, J., Sadakiyo, M., Nagaoka, N., ‘Monitoring Equipment of Lithium-Ion Battery in Power Compensator for DC Railway’ IEEJ TER-06-69/LD-06-47(2006)(in Japanese) ᪢ ↰ ❥ ᮸㧘ਛ ᖝ┨㧘⍹ 㗅㧘⽵ᷡ 㓷ⴕ㧘㐳ጟ ⋥
ੱޟ㋕↪㔚ജቢⵝ⟎ߩ࠴࠙ࡓࠗࠝࡦ㔚ᳰ⁁
ᘒ ⋙ ⷞ ⵝ ⟎ ߦ ߟ ߡ ޠ 㔚 ᳇ ቇ ળ ⎇ ⓥ ળ ⾗ ᢱ TER-06-69/LD-06-47(2006)
梅 田 繁 樹 ・ 延 原 隆 良 ・ 長 岡 直 人 ・ 雨 谷 昭 弘