4-121

平成 29 年電気学会全国大会

࢖ࣥࣂ࣮ࢱࡢࢹ࣮ࣗࢸ࢕࣮ࢧ࢖ࢡࣝ࡜࿘Ἴᩘ࡟╔┠ࡋࡓ
DC/DC ࢥࣥࣂ࣮ࢱࡢࢹࣗ࢔࣏࣮ࣝࢺฟຊไᚚΎỈ ୍ᶞ㸨  㔝ཱྀ Ꮨᙪᯇୗ ⏤᠇㸦㟼ᒸ኱Ꮫ㸧 

Dual-Port Output Control of DC/DC Converter Focusing on Duty-Cycle and Frequency of Inverter
Kazuki Shimizu, Toshihiko Noguchi ,Yoshinori Mathusita (Shizuoka University)㸯㸬ࡲ࠼ࡀࡁ

S2CV48CLoadvtr2V12S4irLrCrᅗ 1 ࢹࣗ࢔࣏࣮ࣝࢺ⤯⦕ᙧ DC/DC ࢥࣥࣂ࣮ࢱFig. 1. Dual-port isolated DC/DC converter.
Secondary transformer voltage vtr2 (V)ᥦ᱌ࡍࡿࢹࣗ࢔࣏࣮ࣝࢺ⤯⦕ᙧ DC/DC ࢥࣥࣂ࣮ࢱࡢᅇ㊰ᵓᡂࢆᅗ㸯࡟♧ࡍࠋᮏᅇ㊰࡛ࡣ 48 V ฟຊ࣏࣮ࢺࡣ࢖ࣥࣂ࣮ࢱฟຊ㟁ᅽࡢࣃࣝࢫᖜไᚚ㸦PWC㸧࡟ࡼࡗ࡚ไᚚࡉࢀ㸪12V ฟຊ࣏࣮ࢺࡣ࢖ࣥࣂ࣮ࢱฟຊ㟁ᅽࡢ࿘Ἴᩘไᚚ㸦PFC㸧࡟ࡼࡗ࡚ไᚚࡉࢀࡿࠋᩚὶᅇ㊰ࡣᑟ㏻ᦆపῶࢆ≺࠸㸪ಸ㟁ὶྠᮇᩚὶᅇ㊰ࢆ᥇⏝ࡋ࡚࠸ࡿࡓࡵ㸪48V ฟຊ࣏࣮ࢺࡢᐃᖖ᫬ࡢฟຊ㟁ᅽ V48ࡣḟᘧࡢࡼ࠺࡟ࢹ࣮ࣗࢸ࢕࣮ࢧ࢖ࢡࣝ D ࡟ࡼࡗ࡚ไᚚࡉࢀࡿࠋ
DVV48(1)a୍ḟഃࡀ H ࣈࣜࢵࢪ࢖ࣥࣂ࣮ࢱ࡛࠶ࡿࡓࡵ㸪ኚᇦࡣᅗ 2 ࡟♧ࡍࡼ࠺࡟ 0 d D d 0.5 ࡛࠶ࡿࠋࡲࡓ㸪V ࡣ࢖ࣥࣂ࣮ࢱ┤ὶࣂࢫ㟁ᅽ㸪a ࡣ㧗࿘Ἴኚᅽჾࡢᕳᩘẚ࡛࠶ࡿࠋ
 12V ฟຊ࣏࣮ࢺ࡛ࡣᩚὶᅇ㊰ࡢ๓ẁ࡟┤ิඹ᣺ᅇ㊰࡜୪
ิඹ᣺ᅇ㊰ࢆタࡅ࡚࠸ࡿࠋᮏไᚚἲ࡛ࡣ┤ิඹ᣺ᅇ㊰ࡢ࢖ࣥࣆ࣮ࢲࣥࢫࡢゅ࿘Ἴᩘኚ໬࡟ࡼࡾ 12V ฟຊ࣏࣮ࢺࡢฟຊ㟁ᅽ V12 ࢆไᚚࡍࡿࠋ୪ิඹ᣺ᅇ㊰ࡣಸ㟁ὶྠᮇᩚὶᅇ㊰ࡢ࢖ࣥࢲࢡࢱ࡜┤ิඹ᣺ᅇ㊰ࢆ㠀ᖸ΅໬ࡍࡿࡓࡵ࡟ᤄධࡋ࡚࠸ࡿࠋ┤ิඹ᣺ᅇ㊰ࡢ࢖ࣥࣆ࣮ࢲࣥࢫ Zr ࡣḟᘧ࡛⾲ࡏࡿࠋ

Ȱ2 Lr Cr  1 22)
Rr  (ȰCritr2V㸬ᥦ᱌ࡍࡿࢹࣗ࢔࣏࣮ࣝࢺ⤯⦕ᙧ '&'& ࢥࣥࣂ࣮ࢱࡢᅇ㊰ᵓᡂ࡜ືసཎ⌮

Zr

S3

S1

Load㌴୧⿵ᶵࡢᾘ㈝㟁ຊቑ኱࡟కࡗ࡚⿵ᶵ⏝㟁※㟁ᅽࢆ 12 V
࠿ࡽ 48 V ࡜ࡍࡿືࡁࡀάⓎ໬ࡋ࡚࠸ࡿࠋࡋ࠿ࡋ㸪ᙜ㠃ࡣ୧㟁ᅽࡢే⏝ࡀぢ㎸ࡲࢀࡿࡓࡵ㸪㌴㍕⏝⤯⦕ᙧ DC/DC ࢥࣥࣂ࣮ࢱࢆ࣐ࣝࢳ࣏࣮ࢺ໬ࡋ࡚」ᩘࡢ㟁ᅽฟຊࢆ⊂❧࡟ไᚚࡍࡿࡇ࡜ࡀồࡵࡽࢀࡿࠋ㝆ᅽࢳࣙࢵࣃࢆ⏝࠸ࢀࡤ 48 V ฟຊ࣏࣮ࢺ࠿ࡽᐜ᫆࡟ 12 V ฟຊࡶᚓࡽࢀࡿࡀ㸪㟁ຊኚ᥮ࡀከẁ໬ࡍࡿࡓࡵ⥲ྜຠ⋡ࡢᝏ໬ࡀᠱᛕࡉࢀࡿࠋࡑࡇ࡛㸪ᮏ✏࡛ࡣ⤯⦕ᙧ DC/DC ࢥࣥࣂ࣮ࢱ࡟࠾࠸୍࡚ḟഃ H ࣈࣜࢵࢪ࢖ࣥࣂ࣮ࢱࡢฟຊࣃࣝࢫᖜ࡜࿘Ἴᩘ࡟╔┠ࡋ㸪ࢹࣗ࢔࣏࣮ࣝࢺࡢฟຊ㟁ᅽࢆ⊂❧࡟ไᚚࡍࡿᡭἲࢆ᳨ウࡋࡓࡢ࡛ሗ࿌ࡍࡿࠋ

V/a
D/2D/20-V/aTime (s)Impedance Z㻌㻔:㻕ᅗ 2 㧗࿘Ἴኚᅽჾࡢ஧ḟഃ㟁ᅽἼᙧFig. 2. Secondary voltage waveform of high-frequency transformer.

302520151050

Angular frequency 1000 (rad/s/div)

ᅗ 3 ࢖ࣥࣆ࣮ࢲࣥࢫࡢゅ࿘Ἴᩘ≉ᛶFig. 3. Impedance angular frequency characteristics(2)
V48* +-ࡓࡔࡋ㸪Lr㸪Cr ࡣࡑࢀࡒࢀ┤ิඹ᣺ᅇ㊰ࡢ࢖ࣥࢲࢡࢱࣥࢫ
࡜࢟ࣕࣃࢩࢱࣥࢫ࡛࠶ࡾ㸪Rr ࡣ᢬ᢠᡂศ࡛࠶ࡿࠋRr ࢆ 10Ȑ࡜ࡋ㸪ᚋ㏙ࡢࢩ࣑࣮ࣗࣞࢩ࡛ࣙࣥ⏝࠸ࡓ࢖ࣥࢲࢡࢱࣥࢫ࡜
࢟ࣕࣃࢩࢱࣥࢫࢆ௦ධࡋࡓ⤖ᯝࢆᅗ 3 ࡟♧ࡍࠋࡇࡢᅗ࠿ࡽ㸪ඹ᣺ゅ࿘ἼᩘࢆᴟᑠⅬ࡜ࡋ࡚㸪ゅ࿘Ἴᩘࡀࡑࡢ್࠿ࡽ㞳ࢀࡿ࡯࡝࢖ࣥࣆ࣮ࢲࣥࢫࡀቑຍࡋ࡚࠸ࡃࡇ࡜ࡀࢃ࠿ࡿࠋࡇࡇ࡛ 12V ഃฟຊ࣏࣮ࢺࡢ㈇Ⲵ࡜ᖹ⁥࢟ࣕࣃࢩࢱࡢ࢖ࣥࣆ࣮ࢲࣥࢫࢆ Z ࡜࠾ࡁ㸪୪ิඹ᣺ᅇ㊰ࡣ⌮᝿ⓗ࡜ࡍࡿ࡜ V12 ࡣ㸪ḟᘧ࡛⾲ࡉࢀࡿࠋPIV48

V12*PWC
Angular FrequencyController+-DInverterZV12ᅗ 4 ࢹࣗ࢔࣏࣮ࣝࢺ㟁ᅽไᚚࡢᵓᡂ
Fig. 4. Configuration of dual-port voltage controller.
1

2017/3/15～17-205富山( 第 4 分冊 )©2017 IEE Japan

4-121DVZa( Z r  Z )

(3)

50
4030
2010014121086420100
500-50-100
200
1000-100-200

㻌V48 (V)V12

平成 29 年電気学会全国大会

㻌V12 (V)1 㸪 3 ࡼࡾ㸪V48 ࡣ D㸪V12 ࡣ D ࡜Ȱ࡟ࡼࡗ࡚ไᚚྍ⬟࡛࠶ࡿࡇ࡜ࡀࢃ࠿ࡿࠋV48 ࡣȰ౫Ꮡᛶࡀ࡞࠸ࡓࡵ㸪D ࡜Ȱࢆྠ᫬࡟ኚ໬ࡉࡏࡿࡇ࡜࡟ࡼࡾ୧㟁ᅽࢆ⊂❧࡟ไᚚࡍࡿࡇ࡜ࡀྍ⬟࡜࡞ࡿࠋᅗ 4 ࡟ᥦ᱌ࡍࡿࢹࣗ࢔࣏࣮ࣝࢺ㟁ᅽไᚚ⣔ࢆ♧ࡍࠋ

itr2 (A)㻌㻌㻌㻌㻌ir (A)ᥦ᱌ࡍࡿࢹࣗ࢔࣏࣮ࣝࢺ⤯⦕ᙧ DC/DC ࢥࣥࣂ࣮ࢱࡢືసࢆࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡾ᳨ドࡋࡓࠋྛ✀ᅇ㊰ࣃ࣓࣮ࣛࢱࡣ⾲ 1 ࡟♧ࡋࡓ࡜࠾ࡾ࡛࠶ࡿࠋ௒ᅇࡣ࢖ࣥࣆ࣮ࢲࣥࢫࡢゅ࿘Ἴᩘ≉ᛶࡀ㸪ࡼࡾᛴᓧ࡞≉ᛶࢆࡶࡗ࡚࠸ࡓࡓࡵ㸪ඹ᣺ゅ࿘Ἴᩘࡼࡾࡶప࠸ゅ࿘Ἴᩘ㡿ᇦ࡛㐠㌿ࡍࡿࠋ୧࣏࣮ࢺ࡜
ࡶ 1 kW ࡢฟຊࢆ᝿ᐃࡋ㸪48 V ฟຊ࣏࣮ࢺ࡜ 12 V ฟຊ࣏࣮ࢺࡢ㟁ὶࡣࡑࢀࡒࢀ 20.8 A ࡜ 83.3 A ࡜ࡋ࡚࠸ࡿࠋ
௨ୖࡢ㐠㌿᮲௳࡟࠾ࡅࡿࢩ࣑࣮ࣗࣞࢩࣙࣥ⤖ᯝࢆᅗ 5 ࡜
ᅗ 6 ࡟♧ࡍࠋ୧ᅗ࡜ࡶୖ࠿ࡽ 48 V ฟຊ࣏࣮ࢺ㟁ᅽ V48㸪12 Vฟຊ࣏࣮ࢺ㟁ᅽ V12㸪㧗࿘Ἴኚᅽჾ஧ḟഃ㟁ὶ itr2㸪㧗࿘Ἴኚᅽჾ஧ḟഃ㟁ᅽ vtr2㸪┤ิඹ᣺ᅇ㊰㟁ὶ ir ࡛࠶ࡿࠋࡲࡎ㸪ᅗ 5 ࡢືసἼᙧ࠿ࡽ 48 V ฟຊ࣏࣮ࢺ㸪12 V ฟຊ࣏࣮ࢺ࡜ࡶ
㛗࿘ᮇⓗ࡟ᣦ௧್࡟㏣ᚑࡋ㸪ᡤᐃࡢ㟁ᅽ࡟ไᚚࡉࢀ࡚࠸ࡿ
ࡇ࡜ࡀࢃ࠿ࡿࠋࡇࢀࡽࡢືసἼᙧࢆᣑ኱ࡋࡓࡶࡢࡀᅗ 6 ࡛࠶ࡿࠋ㧗࿘Ἴኚᅽჾ஧ḟഃ㟁ὶ itr2 ࡜㟁ᅽ vtr2 ࡟఩┦ᕪࡀ⏕ࡌ࡚࠸ࡿࡀ㸪ࡇࢀࡣඹ᣺ゅ࿘Ἴᩘࡼࡾࡶప࠸ゅ࿘Ἴᩘ࡛࢖
ࣥࣂ࣮ࢱࢆືసࡉࡏ࡚࠸ࡿࡓࡵ࡛࠶ࡿࠋࡇࡢ఩┦ᕪࡣゅ࿘Ἴᩘ࡟ࡼࡗ࡚ࡶኚ໬ࡍࡿࠋࡲࡓ㸪㈇Ⲵ⋡ࡀኚ໬ࡋ࡚ࡶゅ࿘Ἴᩘࡣኚ໬ࡍࡿࠋࡇࡢゅ࿘Ἴᩘࡢኚ໬ᖜࡀ኱ࡁ࠸࡜ࢺࣛࣥ
ࢫࡸ࢖ࣥࢲࢡࢱࢆ㐣๫࡟ࡋ࡞ࡃ࡚ࡣ࡞ࡽ࡞࠸ࡢ࡛s250
103 rad/s ࡢ⠊ᅖ࡛ไ㝈ࡍࡿࠋ୍᪉࡛㸪࢖ࣥࣆ࣮ࢲࣥࢫࡢゅ࿘Ἴᩘ≉ᛶࡢኚ໬ࢆᛴᓧ࡟ࡋࡍࡂࡿ࡜ไᚚࡢᏳᐃᛶࡸඹ᣺ᅇ
㊰࡛Ⓨ⏕ࡍࡿ㟁ᅽࡀၥ㢟࡜࡞ࡿࡓࡵ㸪㐺ษ࡞ඛ㗦ᗘࢆࡶࡗࡓඹ᣺≉ᛶࢆ㑅ᢥࡍࡿᚲせࡀ࠶ࡿࠋࡲࡓ㸪㐣Ώⓗ࡞㈇Ⲵኚ
ື࡟ᑐࡍࡿᛂ⟅ᛶ࡟ࡘ࠸࡚ࡣ௒ᚋࡢ᳨ウㄢ㢟࡜ࡍࡿࠋ㻌

vtr2 (V)㸬ࢩ࣑࣮ࣗࣞࢩࣙࣥ࡟ࡼࡿືస᳨ド

6030
0-30-60t 50 (Ps/div)㻌㻌⾲ 1 ࢩ࣑࣮ࣗࣞࢩࣙࣥࣃ࣓࣮ࣛࢱ
Table 1. Simulation parameters.
Parameters
ValuesDC-bus voltage
200 V
Resonance frequency
410 kHz
48-V port output power
1 kW
12-V port output power
1 kW
Turn ratio of transformer
7:4
Resonant inductor
6.8 PH
Resonant capacitor
22 nF
48-V port smoothing capacitor
4.7 PF
12-V port smoothing capacitor
10 PF
48-V port inductor
10 PH
12-V port inductor
5 PH

㻌
㻌㻌

㻌ir (A)ᮏ✏࡛ࡣ㧗࿘Ἴ PWC ࢖ࣥࣂ࣮ࢱࡢࢹ࣮ࣗࢸ࢕࣮ࢧ࢖ࢡࣝ࡜ゅ࿘Ἴᩘ࡟╔┠ࡋ㸪2 ࡘࡢฟຊ࣏࣮ࢺࡢ㟁ᅽࢆ⊂❧࡟ไᚚࡍࡿࢹࣗ࢔࣏࣮ࣝࢺ⤯⦕ᆺ DC/DC ࢥࣥࣂ࣮ࢱ࡟ࡘ࠸᳨࡚ウࡋࡓࠋࢩ࣑࣮ࣗࣞࢩࣙࣥࢆ㏻ࡌ࡚ࢹࣗ࢔࣏࣮ࣝࢺࡢฟຊ㟁ᅽไᚚࡀ⢭ᗘⰋࡃᐇ⌧࡛ࡁࡿࡇ࡜ࢆ☜ㄆࡋ㸪ᥦ᱌ᡭἲࡢጇᙜᛶࢆ❧ドࡋࡓࠋ㻌

itr2 (A)㸬ࡲ࡜ࡵ

49.0
48.5
48.0
47.5
47.0
13.0
12.5
12.0
11.5
11.0
100
500-50-100
200
1000-100-200

vtr2 (V)V12 (V)㻌V48 (V)ᅗ 5 ࢹࣗ࢔࣏࣮ࣝࢺ⤯⦕ᙧ DC/DC ࢥࣥࣂ࣮ࢱࡢືసἼᙧFig. 5. Operation waveforms of dual-port isolated DC/DC converter.

60
300-30-60t 1 (Ps/div)

ᅗ 6 ືసἼᙧࡢᣑ኱ᅗ
Fig. 6. Expanded operation waveforms.
ᩥ ⊩(1) ヶ࣭ᯇୗ࣭㔝ཱྀ࣭ᮌᮧ࣭◁ᒣ㸸ࠕከ┦࢖ࣥࣂ࣮ࢱࢆ⏝࠸ࡓ᪼ὶᙧ DC/DC ࢥࣥࣂ࣮ࢱࠖᖹᡂ 27 ᖺ㟁ẼᏛ఍⏘ᴗᛂ⏝㒊㛛኱఍㸪pp.
I-353-I-356 (2015)(2) ᑎ㇂㸸ࠕ⮬ື㌴㟁※ DC48V ࡢ࢖ࣥࣃࢡࢺ ̿DC42V ࡜ࡢẚ㍑
࡜ DC60V ௨ ୗ ࡢ ᑗ ᮶ ᒎ ᮃ ̿ ࠖ IEEJ Transaction on Industry
Applications, vol. 135, no.9, pp.892-897
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2017/3/15～17-206富山( 第 4 分冊 )©2017 IEE Japan