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2.2
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 12
⍟R♆☪RR̓₶₯₦ₗ₪₨⃉͂R
21
R`[Χῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 21
χ
RRRR
2.2.1 ₦ₗ₪₨⃉͂
Y♸RZ
[
ΊR
χY♸
Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 23
☪̓⃉₢͆₦Yῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 23
2.2.2 ͆ₕ͂₯͆R☛]ZR♆☪RR̓͆⒔a̯̓⃉₝⃉Y♸ῑῑῑῑῑῑῑῑῑῑ 24
⍟₠⃉₮⃉₢⒔XR⑅`RR̓͆⒔X̯̓⃉₝₶Y♸ῑῑῑῑῑῑῑῑῑῑ 24
2.2.3
2.2.4 ₢ₗ͆₦̓ΧaY♸R΃☪RR̓͆⒔a̯̓⃉₝₶Y♸ῑῑῑῑῑῑῑῑῑῑ 25
⓻₯⃅⃉₦RRR
2.2.5
2.3
⒔_
Y♸ῑῑῑῑῑῑῑῑῑῑ 26
RRRῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 27
_
[‼
⍟₠⃉₮⃉₢RY
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 29
⒔X
3.1
Y♸Z
3.2
Y♸
ₗ⃉̯̈́̓R̓₶₯₦ₗ₪₨⃉͂Y
R
30
ZR]
χ_Ίῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 30
ϓῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 31
-i-
Y♸
ZR]\ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 31
3.2.2 Y♸]
ϓῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 32
3.2.1
3.2.3 ̓ ₶ ₯ ₦ ₗ ₪ ₨ ⃉ ͂ ]
R R R R R PWM ₲ ̓ ̯ ⃉ R Z ` R R R Y
▨ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 43
3.2.4 ₮₪₰̓ₗ₼_
αRϓϙ⒅
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 44
3.2.5 _ X ₠ ⃉ ₮ ⃉ ₢ R ⒔ X _ ] R
aRR
a⒔X
Rϓϙ⒅
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 46
3.2.6 ⏎
3.3
\
R
RRY♸₲⃅₽̯̓RZ
̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RR]Z^ ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 53
Y♸
3.3.1
ZR
☰ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 53
3.3.2 ₦ₗ₪₨⃉͂]ZR
3.3.3 ₮₪₰̓ₗ₼
3.4
a]Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 54
]_
αR
aλYῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 59
3.3.5
\⓻ϑZ]Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 61
RRRῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 63
[‽
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 65
⒔a
ₗ⃉̯̈́̓R̓₶₯₦ₗ₪₨⃉͂YῩ[☥aYῑ
4.1
̓₶₯₦ₗ₪₨⃉͂_
4.2
Y♸
ZR]
RR⒔a
aY̰
66
ₗ⃉̯̈́̓Rώ☪Zῑῑῑῑῑῑῑῑῑῑῑῑ 66
ϓῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 67
Y♸
ZR]\ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 67
4.2.2 Y♸]
ϓῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 69
4.2.1
4.2.3 CC-SS-CSI R
4.2.4 ⏎
\
R
aRRR
⍟Y♸RZ
▨RZ`ῑῑῑῑῑῑῑῑῑῑῑῑῑ 75
RRY♸₲⃅₽̯̓RZ
aῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 79
̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RR
Y♸
4.3.1
a]ZR^ ῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 85
Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 85
4.3.2 ₦ₗ₪₨⃉͂]ZR
a]Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 87
4.3.3
aλYῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 97
4.3.4
a[☥aYR
aYRRRR
4.4
4.4.1 Y♸
RR
ZR]\ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 101
4.4.2 Z
_
4.4.3
Y♸
4.4.5
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 99
⍟Y♸RYaῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 101
R
]ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 102
Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 104
4.4.4 ₦ₗ₪₨⃉͂]ZR
4.5
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 57
3.3.4
_
4.3
aῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 51
a]Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 104
aλYῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 113
RRRῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 117
_ ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 119
- ii -
[‾
⒔a
5.1
X
5.2
Y♸
5.2.1
ₗ⃉̯̈́̓R̓₶₯₦ₗ₪₨⃉͂YῩ
αR♆☪RR̓₶₯₦ₗ₪₨⃉͂⒔a
ZR]
Y♸
5.2.3 Y♸]
\
ₗ⃉̯̈́̓ῑῑῑῑῑῑῑῑῑῑ 121
ZR]\ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 122
⍟Y♸R
]ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 123
ϓῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 125
5.2.4 ̓₶₯₦ₗ₪₨⃉͂]
5.2.5 ⏎
121
ϓῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 122
aYRRRR
5.2.2
a⒔XY̰
R
RRRRR PWM ₲̯̓⃉RZ`ῑῑῑῑῑῑῑῑῑ 131
RRY♸₲⃅₽̯̓RZ
aῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 133
]ZλYῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 138
5.3
5.3.1
Y♸
Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 138
5.3.2 ₦ₗ₪₨⃉͂]ZR
5.3.3
a]Zῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 140
aλYῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 147
RRRῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 152
5.4
_ ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 154
[‿
155
6.1
χ
RZYῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 155
6.2
̓₶₯₦ₗ₪₨⃉͂⒔a_
Y♸R
6.2.1 Si ^][₦ₗ₪₨⃉͂⏎
☼]
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 158
RΦ☪RR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RY[R
☼] ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 158
6.2.2 `͆ₗ₰͂₿₪₸^][῰RΦ☪RRΦ☪RR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓
R]\RY[ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 161
_
ῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑῑ 164
Z
166
171
- iii -
[›
1.1 χ
R┅
₲̯͆^][₮̈́ₗ₦Ra
RRRZα
1.1.1
R^][⒔a_
₲̯͆^][₮̈́ₗ₦ῩXY῏₦ₗ₪₨⃉͂⏎
a
ῩSCR̰R
^RRRX☼῏RR 45 ΰR
₲̯͆MOSFET῏IGBT RR῏
αaR
R
⏀
̰R῏1957 ΰR GE
^R
₝₶R̓ₗͅ⃉͂RZ
RR₤͆₠⃉Z
R GTO῏̈́ₗ̯ͅ⃅₲̯͆₯⃅⃉₥₦̓῏
῞R⍠RR₦ₗ₪₨⃉͂⏎
^RRR [1]῎SCR R
R
₮̈́ₗ₦R῏̯̓⃉₝₶R̓ₗͅ⃉͂RZ
☰RRRR῎1960 ΰ[
Y♸R☰
^RRR GTO R
RRRRΧaY♸Rκ
₮̈́ₗ₦R῏Z
RRRRRRRRR῎₲̯͆MOSFET R 1970 ΰ[
R῎
RR
☥aῑ
ₕ₦RXYRRRRR
^␵
RRRR₦ₗ₪₨⃉͂⏎
YαRRRR῏^
R
R
RRRRRR῎RR
R␥R^][⒔a_
[RZ\R῏
YαRRRRRRRYR῏^][⒔a_
₤₦₭₼῏⒉]
IGBT R
̈́ₗ
^ῑ
R῏\₝⃉⒔XR῏
YRRR
ZαYRRRR
_`RR`Z_`R
Rο
R_
R[RRϓ☘RRRR῏₲̯͆ₛ͆͂₯͆̈́͂₦R⑆
Y♸RRR⒔aR_
R[⍭RRRRRRRRRRR῎
^RR
RΠ`RRRRR῎
[Y῏[☥a῏\₝⃉⒔X
RR῏₲̯͆ₛ͆͂₯͆̈́͂₦
[₦ₗ₪₨⃉͂
RRRRRRRRRR῎IGBT R῏
R SiC R GaN R☪RR₦ₗ₪₨⃉͂⏎
[₦ₗ₪₨⃉͂R
^RR῏
RX╺RR GTO῏
RRRRRR῏☪⒜R[ϐYRRRRR῏ Δ
^RRRRR῎
`R[RR_
⏁R
R̯̓⃉
RRR IGBT R
[₦ₗ₪₨⃉͂☪⒜RR₲̯͆MOSFET῏⒔a
RR[[╺_R☪⒜RR IGBT R῏RR
RRRR
R⏏R
Έ
]R
[₦ₗ₪₨⃉͂RYαRRRR῎1980 ΰ[Β^R῏₲̯͆MOSFET R
]ZR῏̈́ₗ̯ͅ⃅₲̯͆₯⃅⃉₥₦̓R[☥aYR
Δ
R☥XRRRRRR῏⒔]
Y♸R⒔]
R⏏R
῏₲̯͆ₛ͆͂₯͆̈́͂₦
₤₦₭₼῏Y\☪⒔
RRRRR
RY_[
]R
ₛ̯̈́͆͂Y
R῏⒔a₤₦₭₼῏
RRR_`R]]RRRRR῏
YR
^
RRR\⑅RRRRR῎
^][⒔a_
_
RR῎
R^][⒔a_
₦ₗ₪₨⃉͂⏎
Ῡ›̰
Ῡ※̰
Ῡ‼̰
Y♸R῏₦ₗ₪₨⃉͂]
R
Y♸R]a⒔a῏ a⒔aR
ZαYRRR῏⒔a_
[῏[RR῏Ζ⎆῏
⓻⎆R
[RRR_aRλ 1.1 R
R῎
Y♸R῏
aY
aY
⓻₦ₗ₪₨⃉͂RRR_
Ῡ‽̰\ΗYY῏\⒔
RRR
RRR῏⒔aR
⒔aR
╡
̈́ₗ₧Y
RRRRRYαRRRR῎RRRR]
₦ₗ₪₨⃉͂⏎
Y
R₦ₗ₪₨⃉͂_
RRR῎
-1-
R
RR̯͂₭͂̈́͆₥̯RRRRR
λ 1.1ῒ
R^][⒔a_
a
a
]a
a
\a
ῑ ₢ₗ͂͆₠⃉̯̈́̓
ῑ ̓ₗ₝̯₰Za
ῑ ͅ₯͆͂₦₠⃉̯̈́̓
ῑ ✷✾M Za
ῑ ✱✰ ͆⃉͂₠⃉̯̈́̓
ῑ ✷✳✰ ₠⃉̯̈́̓
ῑ ✮✰ ͆⃉͂₠⃉̯̈́̓
RR
RR
ῑ ₗ⃉̯̈́̓
\a
ῑ ₨⃃₪₲
ῑ ✱✰/✱✰ ₠⃉̯̈́̓
̯̈́₰₦ₗ₪₨⃉͂R`[ΧR̓₶₯₦ₗ₪₨⃉͂R
κ☰Z
1.1.2
⒔aR
╡
YR⒔a_
R῎₦ₗ₪₨⃉͂⏎
Y♸R\ΗYYRR₦ₗ₪₨⃉͂
R₦ₗ₪₨⃉͂_
RRR_
ₗ₪₨⃉͂[
̰R^ZRR῎₦ₗ₪₨⃉͂[
R῏₦ₗ₪₨⃉͂
⓻⎆R
ₗ₪₨⃉͂
RRRR⒔aR⒔XR
R^ZRR῎RR
R₦ₗ₪₨⃉͂⏎
RXYRRR₦ₗ₪₨⃉͂⏎
R ison῏₦ₗ₪₨⃉͂
Psw =
R⒔XR vsoff῏₝⃉
R tsw RRRR῏
⒅R
ZR
RRR`ZR
R₦ₗ₪₨⃉͂⏎
R῏IGBT R
RRY[RY
RR
₯₦ₗ₪₨⃉͂R῏
R
R
RRRR῏RRR^aRR₦ₗ₪₨⃉͂[
RY⒢
R῎Ῡd̰
RRR῏₝
RaRR⒔a
ῑῑῑῩ1.1̰
RR῏₦ₗ₪₨⃉͂›Y⒴RRR₦ₗ₪₨⃉͂[
RR῏₦ₗ₪₨⃉͂⏎
Psw
RλRRRRRRR[2]῎
1
1 E2
v soff i son tsw =
t
6
6 R sw
⓻⎆R
RRRR῏₦
RRRR⒔aῑ⒔X ZRῩd̰
῏ῩḛR
›YR₦ₗ₪₨⃉͂RRRR₦ₗ₪₨⃉͂
͂⏎
RRῩc̰R
R῏⒔aῑ⒔XZRRR₦ₗ₪₨⃉͂[
R̯̓⃉₝⃉῏ῩḛR̯̓⃉₝₶RRR῎Psw R΋⑆R
₶
ϓZ`΋RRR[2]῎Ῡa̰
RRRRR῏Ῡb̰RRRR
R₝₶RRR῎
R
RRR῎
t1 R̯̓⃉₝⃉῏t2 R̯̓⃉₝₶R
RRY\RR῎₯⃅⃉₥₦̓RϓΕ⒅R₦ₗ₪₨⃉͂]ZR
t2 R
RZR[RR̯̈́₰₦
⓻YRR
^ZR
R₦ₗ₪₨⃉͂Y♸RRRR῏₯⃅⃉₥₦̓R
R₝⃉῏
RR
R₦ₗ₪₨⃉͂Y⎆῏RRRR₦ₗ₪₨⃉
΋ 1.1 R̯̈́₰₦ₗ₪₨⃉͂RRRR₦ₗ₪₨⃉͂[
t1 RRRR
⓻YRώ
RR⒔aῑ⒔XRYΨ_YRRRRR[ Ῡ₦
⓻⎆R^aRRΗYRRRR῏₦ₗ₪₨⃉͂
R
⓻⎆R
R[RR⒔aῑ⒔XR
ₗ₪₨⃉͂R
͂
Y♸R_a
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- 17 -
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[⚃῏
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a
῏[[Ζ
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RRRR῏̓⃉₢͆₦YRυRRR῎
χ
RR῏XYR₦ₗ₪₨⃉͂_
⃉₢͆₦YR
R
☪RRRRRRR῏₦ₗ₪₨⃉͂
[
☪̓
RR῎
Ῡ›̰ZCS ̯̓⃉₝⃉
₦ₗ₪₨⃉͂⏎
R\aR͆ₕ͂₯͆RZ[R῏
₦ₗ₪₨⃉͂⏎
R̯̓⃉₝⃉R\
ΒRR⒔aR̓͆RRR͆ₕ͂₯͆⒔a␲[₾̯₰RRRR῏₦ₗ₪₨⃉͂⏎
R╥☰RRR῎
̯̓⃉₝⃉R
₦ₗ₪₨⃉͂⏎
R
[a
R̯̓⃉₝⃉RRR῏͆ₕ͂₯͆R☛]ZRRR ZCS
RR῎
Ῡ※̰ZVS ̯̓⃉₝₶
⍟Y♸R
]⏎
R ZVS ̯̓⃉₝₶
RRR
ZR῏Y♸₲⃅₽̯̓R
R⒔a̓⃉₢`RR
\RR
⍟₠⃉₮⃉₢⒔XRRR
]⒅Rω[RRR῎
Ῡ‼̰ZCS ̯̓⃉₝₶
ῑ
R
₦ₗ₪₨⃉͂⏎
R
ZRR῎̯̓⃉₝₶
R ZCS ̯̓⃉₝₶R
Δ
]ZR
RR
RR῏₢ₗ͆₦̓ΧaY♸R΃☪RR
₦ₗ₪₨⃉͂⏎
RR῎
- 23 -
R
Δ
⍟Y♸
]ZRRR⒔a̓⃉₢`R
X
R῏
Z
ΊR
RRR῏\XRR
χY♸RY♸
ZR]
ϓR`RR
RRR῎
2.2.2
͆ₕ͂₯͆R☛]ZR♆☪RR̓͆⒔a̯̓⃉₝⃉Y♸
χϙ_R\XRR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R
⃉₝⃉R
☪RR῎RRR
₦ₗ₪₨⃉͂⏎
RRY♸R΋ 2.3Ῡa̰R
R⏁R ZCS ̯̓
R῎ ₦ₗ₪₨⃉͂⏎
S R[R῏
\aR͆ₕ͂₯͆ L RZ[RR῎͆ₕ͂₯͆⒔a i R̓͆RRR῏t῵ton R S R₝⃉RRR
R῏ZCS ̯̓⃉₝⃉R
⓻
RR῎V RX\⒔XR
῏RR
R i R
R
RRR῎i R
R΋ 2.3Ῡb̰RRR῎
i=
V
t
L
ῑῑῑῩ2.1̰
Ῡa̰Y♸
Z
Ῡb̰
₦ₗ₪₨R⒔a⓻
΋ 2.3ῒZCS ̯̓⃉₝⃉Y♸R⓻
⍟₠⃉₮⃉₢⒔XR⑅`RR̓͆⒔X̯̓⃉₝₶Y♸
2.2.3
[‼
R\XRR̓₶₯₦ₗ₪₨⃉͂⒔X
R ZVS ̯̓⃉₝₶Y♸R
R
ZRR῎
⍟Y♸R[RRZ
RR῎͆ₕ͂₯͆ L RΒ
⒔
☪RR῎Y♸
Έ
ₗ⃉̯̈́̓RR
ZR΋ 2.4Ῡa̰R
R῎
⍟Y♸R⏁R
R⏁R╥☰RRR῏RRRRRY♸
R ZCS ̯̓⃉₝⃉Y♸RRRR]
⒔XR_aRZ[R῏RR☥aR C >> Cr RRR῎
ₗ₪₨⃉͂⏎
⍟₠⃉₮⃉₢⒔XR⑅`R
RR῎
╺⓻
ZR[RR
⍟₠⃉₮⃉₢ C R
R΋ 2.4Ῡb̰R
S R₝⃉R῏S RX\⒔a I RaRRRR῏Cr R΋
R
ZR
R῎
⍟]
R⒜⑆R̓ₗ₝̯₰ Dr R]\RRRRR῏vCr R
₦
⒔RRRR
RRRR῎Cr R⒔X vCr R C R⒔X vC R[RRRⒷRRRRRR῎S R̯̓⃉₝⃉
Cr RRR
]⏎
R Lr῏
]⒅R vC RⒷRRRR῎
toff R S R₝₶RRR῎vCr R vC RRR῏S R⒔X vS R̓͆RRRRR῏⒔X̓⃉₢`R
R ZVS ̯̓⃉₝₶R
RR῎L R⒔a i R Cr RaRRRR῏vCr῏i RRR
RR῎i R
̓͆RRRR῏D1 R₝₶RRR῎RRRRR῏͆ₕ͂₯͆⒔aR╥♱[RRR῏
₨⃉͂
RRRR ZCS ̯̓⃉₝⃉R
YαRRR῎L῏Cr RRR
⃉₝₶RR]aRRRRR῏╵Y⒔aR[RRR`RR῏
RRR῎
- 24 -
⍟
R₦ₗ₪
R῏S R̯̓
R ZVS ̯̓⃉₝₶]
R
Ῡa̰Y♸
Z
Ῡb̰
╺⓻
΋ 2.4ῒZVS ̯̓⃉₝₶Y♸
2.2.4
[‽
₢ₗ͆₦̓ΧaY♸R΃☪RR̓͆⒔a̯̓⃉₝₶Y♸
R\XRR̓₶₯₦ₗ₪₨⃉͂⒔a
RR ZCS ̯̓⃉₝₶Y♸RΦ☪RR῎Y♸
⍟͆ₕ͂₯͆ L῏_
₯͆ L RΒ
╺⓻
₦ₗ₪₨⃉͂⏎
ZR΋ 2.5Ῡa̰R
Saux῏
R ZCS ̯̓⃉₝⃉Y♸RRRR]
RῩb̰R
ₗ⃉̯̈́̓RR₢ₗ͆₦̓ΧaY♸R΃☪
₦ₗ₪₨⃉͂⏎
RR῎S῏Saux RR
ir = V
⒔XR V RRRR
Δ
Ῡa̰Y♸
ZRR῎͆ₕ͂
]ZR RRR῎
R
RRR῎Cr῏L R
ZR
⒔RRR
⍟⒔a ir R῏
RRR῎
t
Cr
sin
L
LC r
ir R S R⒔a iS R[R
⍟₠⃉₮⃉₢ Cr῏
S R
R῎S R₝⃉RX\⒔aRaRRRR῏Cr R΋
RRRR῏Saux R₝⃉RRRR S R ZCS ̯̓⃉₝₶R
Cr R
R῎
ῑῑῑῩ2.2̰
RRaRRRR῏iS R
Z
῞R
RR῎iS R̓͆RRRR S R
Ῡb̰
΋ 2.5ῒZCS ̯̓⃉₝₶Y♸
- 25 -
╺⓻
RRRR῏̓͆⒔aR
R╥☰R῏ZCS ̯̓⃉₝₶R
͂₯͆⒔aR╥♱[RRR῏
RR῎ZCS ̯̓⃉₝₶
R
R῏S R
⒔aR I RRRR῏
RϑZRRY♸_
R[RRR῎
̓₶₯₦ₗ₪₨⃉͂⒔a_
R
̯͂R[RRRR῏₦ₗ₪₨⃉͂⏎
⍟₠⃉₮⃉₢RY
⍟Y♸R LC
⍟
͆₦R\
RR῎Y♸
ZR΋ 2.6Ῡa̰R
R V R
ZR
]ZR
⒔RRR῎RRRRR Cr R
R῎L1 RRR L2 R`
R⒔X₦₯
⓻₯⃅⃉₦῏Cr
RRR῎Cr R΋
⒔⒔a i1 RRR Cr R⒔X vCr R
t
Cr
sin
L1
L1C r
v Cr = E − ( E + V ) cos
R
Z῏[R
[RZ
RλRRR῎
ῑῑῑῩ2.4̰
t
L1C r
ῑῑῑῩ2.5̰
⓻₯⃅⃉₦R L2 [⒔X vL2 R῏
v L2 = −
⒔R◄R῏₦ₗ₪₨⃉͂⏎
R₦ₗ₪₨⃉͂⏎
RR
⓻₯⃅⃉₦R☪RR⒔
⒔RR῏ S RRR̓ₗ₝̯₰ D R₝₶RRR῏S R₝⃉RRRR῏Cr R
i1 = ( E + V )
`
Δ
Y♸
R⒔Xῑ⒔a₦₯͆₦R[RRRRRRR`[
⍟₠⃉₮⃉₢⒔XRY
⍟₠⃉₮⃉₢῏S R
⒔_
R♆☪RRRR῏⒔Xῑ⒔a₵
RRR῎χϙ_R\XRR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RR῏
X͂⃅⃉₸Y♸RRR῏
RR῎PWM
ₗ⃉̯̈́̓RRRR῏͆ₕ͂₯͆⒔aR╥♱[RRRRRR῏
⓻₯⃅⃉₦RRR
2.2.5
R
RRR῎
RRRRRR Saux R⒔aR̓͆RRR῏ZCS ̯̓⃉₝₶R
̓₶₯₦ₗ₪₨⃉͂⒔a
R
R
YαR
ῑῑῑῩ2.3̰
Cr R⒔XY
L R[
RRR͆ₕ
RRRR ZCS ̯̓⃉₝⃉R
Cr
L
I ≤V
Z
R₦ₗ₪₨⃉͂
RR῎S R
⒢›῏ ⎆^R n1ῒn2 RRRRRRR῏
t
n2
( E + V ) cos
n1
L1C r
ῑῑῑῩ2.6̰
RRRRR῏̓ₗ₝̯₰ D R₝⃉RR
R῏
v L2 ≥ E
ῑῑῑῩ2.7̰
RRR῎RRRωRR₠⃉₮⃉₢⒔X vCr RRR L2 R⒔a i2 R
 n 
v Cr = E 1 + 1 
 n2 
n
i2 = 1
n2
R
Cr
L1
RR῏
(E + V )
ῑῑῑῩ2.8̰
2
2
n 
−  1  E2
 n2 
⍟₠⃉₮⃉₢R
⓻₯⃅⃉₦R☪RR
ῑῑῑῩ2.9̰
⒔⒔XRῩ2.8̰
RϏRRRR⒔XR͂⃅⃉₸RRR῎
⍟₠⃉₮⃉₢R⒔XR͂⃅⃉₸RRY♸_
- 26 -
R[RRRR῎
Ῡa̰Y♸
΋ 2.6ῒ
Z
Ῡb̰
⓻₯⃅⃉₦RRR
╺⓻
⍟₠⃉₮⃉₢RY
⒔_ Y♸
2.3 RRR
χϙ_R\XRR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R῏₦ₗ₪₨⃉͂⏎
RRRRR῏̓₶₯₦ₗ₪₨⃉͂R
\
₦ₗ₪₨⃉͂⏎
RRRRR`╕RRR῎RRR
RΦ☪RR̓₶₯₦ₗ₪₨⃉͂⒔X
⃉ῑZVS ̯̓⃉₝₶῏
Δ
₦ₗ₪₨⃉͂⏎
R
[aR
R
RRRR῏
]
ₗ⃉̯̈́̓RR ZCS ̯̓⃉₝
RΦ☪RR̓₶₯₦ₗ₪₨⃉͂⒔a
̯̈́̓RR ZCS ̯̓⃉₝⃉ ZCS῏̯̓⃉₝₶R
☪RR῎χ
₨⃉͂ₗ⃉̯̈́̓RΦ☪RR
ZR῏RR̓₶₯₦ₗ₪₨⃉͂]
⍟Y♸R
χY♸
ₗ⃉
RR\XRR̓₶₯₦ₗ₪
ϓ
RRRR`RRRRR῎
\XRR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R₦ₗ₪₨⃉͂_
RXYR\RRRR῎
Ῡ›̰ZCS ̯̓⃉₝⃉
\XRR⏁RR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R ZCS ̯̓⃉₝⃉RRR῎
͂⏎
R\aR͆ₕ͂₯͆RZ[R῏
₦ₗ₪₨⃉͂⏎
R̯̓⃉₝⃉R\ΒRR⒔aR̓
͆RRR͆ₕ͂₯͆⒔a␲[₾̯₰RRRRRR῏₦ₗ₪₨⃉͂⏎
RR῎
₦ₗ₪₨⃉͂⏎
⃉R
RR῎
₦ₗ₪₨⃉
R
[a
R╥☰R
R̯̓⃉₝⃉RRR῏͆ₕ͂₯͆R☛]ZRRR ZCS ̯̓⃉₝
Ῡ※̰ZVS ̯̓⃉₝₶
[‼
R\XRR̓₶₯₦ₗ₪₨⃉͂⒔X
⍟Y♸R
]⏎
ZVS ̯̓⃉₝₶
RRR
ₗ⃉̯̈́̓RR῏ZVS ̯̓⃉₝₶R
ZR῏Y♸₲⃅₽̯̓R
R⒔X̓⃉₢`RR
\RR
☪RR῎
⍟₠⃉₮⃉₢⒔XRRRR
]⒅Rω[RRR῎
Ῡ‼̰ZCS ̯̓⃉₝₶
[‽
῏[‾
☪RR῎
Y♸R
R\XRR̓₶₯₦ₗ₪₨⃉͂⒔X
₦ₗ₪₨⃉͂⏎
ZRR῎̯̓⃉₝₶
R ZCS ̯̓⃉₝₶R
R
RR
Δ
]ZR
RR῏₢ₗ͆₦̓ΧaY♸R΃☪RR
₦ₗ₪₨⃉͂⏎
RR῎
- 27 -
ₗ⃉̯̈́̓RR῏ZCS ̯̓⃉₝₶R
R
Δ
⍟
]ZRRR⒔a̓⃉₢`R
₦ₗ₪₨⃉͂⏎
R⒔Xῑ⒔a₦₯͆₦RϑZRRRR῏
♸RRRRRY♸
Z῏]
⒔
RR⒔XR
χ
X
⒔XRRRR
R`RRRRR
ϓR`RRRRR῎
⍟₠⃉₮⃉₢RY
⓻₯⃅⃉₦R♆☪R῏RR
⒔◄
⎆^R
⍟₠⃉₮⃉₢⒔XR͂⃅⃉₸RR῎
χY♸R⏏R
RRR⍠RR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R
R\XRR῎
- 28 -
Y
_
̰1̰
]
_῏`
⍟
DC-DC ₠⃉̯̈́̓R] ῰⒔
ϙ D῏Vol. 117-D῏No. 2῏pp. 120-
122῏1997.
̰2̰
`̓₶₯₦ₗ₪₨⃉͂R ⍠
]
῰
῏⒔
Y
_
[ 899
῏2002.
̰3̰
C. M. O. Stein, J. R. Pinhero, H. L. Hey, “A ZCT Auxiliary Commutation Circuit for
Interleaved Operation in Critical Conduction Mode”, IEEE Trans. on Power Electronics, Vol.
17, No. 6, pp. 954-962, 2002.
̰4̰
Y
῏
[Χ῰
῏⒔
̰5̰
Z╥]☟῏
⒓
X῏`̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R
Y^][⒔a_
Y a῏SPC-99-120῏pp. 15-22῏1999.
☪YR`
E. Deschamps, I. Barbi, “A Flying-Capacitor ZVS PWM 1.5kW DC-to-DC Converter with
Half of the Input Voltage Across the Switches”, IEEE trans. on Power Electronics, Vol. 15,
No. 5, pp. 855-860, 2000.
̰6̰
M. Hirokawa, T. Ninomiya, “Non-Dissipative Snubber for Rectifying Diodes in a ZVS FullBridge DC-DC Converter”, IPEC-Tokyo 2000, pp. 542-547, 2000.
̰7̰
S. J. Jeon, G. H. Cho, “A Zero-Voltage and Zero Current Switching Full Bridge DC-DC
Converter with Transformer Isolation”, IEEE Transactions on Power Electronics, Vol. 16, No.
5, pp. 573-580, 2001.
̰8̰
M. Chen, D. Xu, J. Lou, M. Luo, “Transformer Secondary Leakage Inductance Based ZVS
Dual Bridge DC/DC Converter”, Proc. Of 18th annual IEEE APEC ,2003.
- 29 -
[‼
[※
⒔X ₗ⃉̯̈́̓R̓₶₯₦ₗ
₪₨⃉͂Y
R`RRRRR
♸῏
⍟₠⃉₮⃉₢Y
χY♸RRR῏̓͆⒔a̯̓⃉₝⃉Y♸῏̓͆⒔X̯̓⃉₝₶Y
⒔◄
Y♸RΦ☪RR⍠RR̓₶₯₦ₗ₪₨⃉͂⒔X
R\XRR῎RRₗ⃉̯̈́̓R
♸RZ
Z
Έ
R
R̓₶₯₦ₗ₪₨⃉͂R
YR
₲̯̓⃉R_
χ
R
⍟Y♸R῏
a⒔XRXYRRR₮₪₰̓ₗ₼
₾̯₰R
`RRRRR῎
⒔X
RRY♸\⎆RZ
R
a
]_
RRRR῏
R
ₗ⃉̯̈́̓RY♸]
Ί῏₮₪₰̓ₗ₼
RRR῏̓₶₯₦ₗ₪₨⃉͂]
ₗ⃉̯̈́̓R[RR
ZR
RRRRR῏₮₪₰̓ₗ₼_
RR῏\XRR̓₶₯₦ₗ₪₨⃉͂⒔X
R῏]
RRRR
⍟Y
RRRRR⒔a̓⃉₢ῑ⒔X̓⃉₢R╥☰RRR῏
RR῎₮₪₰̓ₗ₼
RR῏
]⏎
ₗ⃉̯̈́̓
῏
Y῏₮₪₰̓ₗ₼
a
RRRR PWM
RR῎
₾̯₰Rϓϙ⒅YZ
]_
αR
χ
ϓR
χZα῏̯̈́₰₦ₗ₪₨⃉͂
]_
αRRRR
RRR
R῎
3.1 Y♸Z
⒔X
R
ₗ⃉̯̈́̓R⒔]
₦ₗ₪₨⃉͂RΦ☪RR
RRRR῏_
χ_Ί
]RRRRRRRο
R_`RΦ☪RRRRRRR῏̓₶₯
aR[R῎RRR῏RR[RR̓₶₯₦ₗ₪₨⃉͂
₦ₗ₪₨⃉͂⏎
R[RΦ☪R ῏⒔a̓⃉₢῏⒔X̓⃉₢Rκ☰RRR῎
⒔aRaRκ☰RRRRRRRR[2], [3]῏Z
⍟Y♸R
⒔a̓⃉₢῏⒔X̓⃉₢R╥☰RRR_
₦ₗ₪₨⃉͂⏎
RRRRRR῏
RR_
R
αRRR
[1]
R
XRRRRR
☪R῏RRΧ
₦ₗ₪₨⃉͂⏎
R_
[4], [5]
RRRRRR[R῎X_῏
῎_
̓ₗͅ⃉͂RZ
RΧ
₦ₗ₪₨⃉͂⏎
ϐRRRR
R
RRRR
̓ₗͅ⃉͂RZ\RRRRR̈́ₙ̈́ₙ
Rκ☰RRR῎
χ
R
R
RR̓₶₯₦ₗ₪₨⃉͂⒔X
InverterῒXY῏SS-VSI Ra
ῑ ^☪ₗ⃉̯̈́̓R
̰R῏XYRZ
a⒔aZ
ₗ⃉̯̈́̓ῩSoft-Switched Voltage Source
ΊRRR
XRR῎
R☪RRRR PWM ₦ₗ₪₨⃉͂₲̯̓⃉RRRRR
☪RRRRR
ῑ ̓₶₯₦ₗ₪₨⃉͂R
RRRRRRRκ☰R⒔a̓⃉₢῏⒔X̓⃉₢R╥☰RRR
RR
ῑ
⍟Y♸R⏁R
]⏎
RRR
ZR῏PWM ₦ₗ₪₨⃉͂₲̯̓⃉X
╥☰RRRRR
- 30 -
RZ
Έ
R
3.2 Y♸
ZR]
Y♸
3.2.1
ϓ[6]-[8]
ZR]\
΋ 3.1Ῡa̰R SS-VSI RY♸
R⒔
⒔XR‼_
ₗ₪₨⃉͂⏎
Z῏Ῡb̰RXΖ_Y♸R
R῎Vdc R\a⒔
῏Cd0ῠCd2
RRRRRZ[RRR₠⃉₮⃉₢RRR῎L1 ῠL6 Rₗ⃉̯̈́̓[R
Cr1 RRR Cr2 R S1ῠS6 R ZVS
S1ῠS6 R ZCS ̯̓⃉₝⃉RRRR͆ₕ͂₯͆῏
̯̓⃉₝₶RRRR₠⃉₮⃉₢RRR῎L1ῠL6 RRRRRRΖR͆ₕ͂₯͆ Lf R`
₦ₗ₪₨⃉͂⏎
RR]
₦
R₝⃉R
RΟRRRRϏ_Rₛ̯̈́͆͂R῏₝₶R
R Cd0 RYZR
R Cr1 RRR Cr2 R⒔XR͂⃅⃉₸RR῎RRRRR῏S1ῠS6 R₝₶R
⃅⃉₸RRR῎͆ₕ͂₯͆ Lr1 RRR Lr2 R S1ῠS6 R̯̓⃉₝⃉
Ῡa̰Y♸
Ῡb̰XΖ_Y♸
- 31 -
R⒔XR͂
RRRRR Cr1 RRR Cr2
Z
΋ 3.1ῒ̓₶₯₦ₗ₪₨⃉͂⒔X
R῏
ₗ⃉̯̈́̓
R
⍟Y♸R
ZRR῎RRY♸
ZR
XRRRRRRR῏SS-VSI RXYR]\R]R
RR῎
ῑ
₦ₗ₪₨⃉͂⏎
ῑZ
Έ
X
R⏁R
]⏎
R
Z
R̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R☪RRRR PWM Έ
ῑ ₕ̯₼ΝϒR◄
RRRRRZRRRR₮₪₰̓ₗ₼
RRRRR῏PWM ₦ₗ₪₨⃉͂₲̯̓⃉R_
RR
RRRRR╵YR⒔XRXY
RRRRR῏\
a
⓻⎆
RRRR
a⒔a⚇RRϑZYα
3.2.2
Y♸]
ϓ
SS-VSI R῏S1 ῠS6 RRRRRR[RR]ϐRY♸]
␢RRRRR῏΋ 3.2 RXΖ_Y♸R☪RR]
RRR Cr1 R⒔X vCr1 R΋
RⒷRR῎Cr2 R⒔X vCr2 R΋
R
R
ZR
ZR
⒔RRRRR῏RR[RRR VCr2(0)R῏Cd1 R⒔
RRR῎
R
R̓ₗ₼₨₿̯₯R
R΋ 3.3 R
L4῏L1 R Lf RRR L4 R Lf R
R
R
RRX\⒔aRaRRRRRR
RRZRR῏RRRR⓻
R῎Cr1῏Cr2 R Cd0ῠCd2 R^RR
R
_
₦ₗ₪₨⃉͂
RR῏L1 R
⒢RRRR›RRR῏L1 R L4 RⒷRRₗ⃉̓͂̓⃉₦Ξ
RRRR῎RRRR S1 RRR S4 RϓΕ⒅R₦ₗ₪₨⃉͂]ZR
Cd2 R⒔X vCd0῏vCd1῏vCd2 RX\R_RRRRRR῎΋ 3.4 RY♸]
₿̯₯R
Z`R
⒔RRRRR῏
RR[RRR Cd1 R⒔X vCd1
R΋ 3.2 R
⏎
R῎RRRRR῏]
ϓR`RRRRR῎
X vCd1 RR[RRRRR῎╵Y⒔a iO R
╺R⒔a῏⒔XR῏΋ 3.2 R
R
R῎
΋ 3.2ῒXΖ_Y♸
- 32 -
RRY\R῏Cd0῏Cd1῏
R₾̯₰ΒX₶̯͆₨
΋ 3.3ῒ
╺R⒔aῑ⒔X⓻
R
aR₦ₗ₪₨⃉͂̓ₗ₼₨₿̯₯
- 33 -
΋ 3.4ῒ›₦ₗ₪₨⃉͂
RRRR]
₾̯₰RΒX₶̯͆₨₿̯₯
ῳ₾̯₰›̱
S1 R₝⃉῏S4 R₝₶RRR῎⒔
3.5 R
RR╵YR⒔aRaRRRR῎RRRRR⒔aa♸R΋
R῎
ῑῑῑῩ3.1̰
iS1 = iL1 = iO
΋ 3.5ῒ₾̯₰›R⒔aa♸
- 34 -
RRR῏iO RX\RRRRR῏
vO =
a⒔X vO R
Vdc
2
ῑῑῑῩ3.2̰
RRR῎
ῳ₾̯₰※̱
S1 R₝₶RR῏S4 R₝⃉RRR῎RRRRR⒔aa♸R΋ 3.6 R
R῎S1 R₝₶RRRR
iS1 RRRRR̓͆RRR῏L1 R☛]ZRRR῏̓ₗ₝̯₰ Dd1 R₝⃉RRR῎Y♸_\
v Cd0 + v Cd2 =
di
di
1
i dt + ( L1 + M14 ) L1 + ( L 4 + M14 ) L4
C r1 L1
dt
dt
∫
iL1 = iO + iL4
1
di
0=
i r2dt + L r2 r2
C r2
dt
RRR῏M14ῒL1 R L4 RΖ
R
ῑῑῑῩ3.3̰
ῑῑῑῩ3.4̰
∫
ῑῑῑῩ3.5̰
ₗ⃉̓͂̓⃉₦Ῡ = L1L 4 ̰
RRR῎RRRRYRR῏
Vdc
sinω 2 t + i O cos ω 2 t
Z2
V
i L4 = dc sinω 2 t − i O (1 − cos ω 2 t )
Z2
Vcr2 (0)
sinω r2 t
i r2 =
Zr2
i L1 =
RRR῏ Z2 =
RRR῎Ῡ3.6̰
ῑῑῑῩ3.6̰
ῑῑῑῩ3.7̰
ῑῑῑῩ3.8̰
L1 + L 4 + 2M14
L r2
1
1
῏ Zr2 =
῏ ω2 =
῏ ω r2 =
C r1
C r2
C r2 L r2
C r1 ( L1 + L 4 + 2M14 )
RR῏vCr1 R
΋ 3.6ῒ₾̯₰※R⒔aa♸
- 35 -
v Cr1 =
1
i L1dt = i O Z2sinω 2 t + Vdc (1 - cos ω 2 t) - v Cd1
C r1
∫
ῑῑῑῩ3.9̰
RRR῎S1 R⒔X vS1 R῏
vS1 = vCr1 + vCd1 = iOZ2 sin ω2t + Vdc ( 1 - cos ω2t )
RRR῏t = 0 RRRR₦ₗ₪₨⃉͂R
ῑῑῑῩ3.10̰
RRR῏S1 R ZVS ̯̓⃉₝₶R␚ZRRR῎S4 R
aRR⒔a iS4 R῏
iS 4 = i L4 + i r 2 =
V (0 )
Vdc
sinω 2 t − i O (1 − cos ω 2 t ) + Cr2 sinω r2 t
Z2
Zr2
ῑῑῑῩ3.11̰
RRRRR῏S4 R[RRR ZCS ̯̓⃉₝⃉R␚ZRRR῎vO RῩ3.6̰
R⒔X
῏Ῡ3.7̰
RR L4
YR vL4 RRRR
Vdc
V
di
di
+ v L4 = − dc + L 4 L4 + M14 L1
2
2
dt
dt
Vdc ( L 4 + M14 )
V
=
cos ω 2 t − ω 2 ( L 4 + M14 )i a sinω 2 t − dc
2
L1 + L 2 + 2M14
vO = −
RRR῎vCr2 RῩ3.8̰
v Cr2 =
ῑῑῑῩ3.12̰
RR
1
i r2dt = VCr2 (0) cosω r2 t
C r2
∫
ῑῑῑῩ3.13̰
RλRR῏RRR
- vCr2ῺvCd2
R
ῑῑῑῩ3.14̰
RωRRR₾̯₰※ῦRX
₦R M1f῏L4 R Lf RΖ
v Lf = −
RR῎RR῏Lf R⒔X vLf R L1 R Lf RΖ
ₗ⃉̓͂̓⃉₦R M4f RRRR
ₗ⃉̓͂̓⃉
RλRRR῎
M1f + M 4f
( vCd0 + vCd2 − vCr1 )
L1 + L 4 + 2M14
ῑῑῑῩ3.15̰
RRR῏ M1f = L1L f ῏ M 4f = L 4 L f
RRRXYR
Rω[RRR₾̯₰‼RX
RR῎
vLfῺvCd0
ῑῑῑῩ3.16̰
RR῏₾̯₰※ῦR₾̯₰‼R
RRRRRRY♸]
RR]aRR]
₾̯₰RRRRR῏X
R̓ₗͅ⃉͂
R`[RZRRR῎
ῳ₾̯₰※ῦ
̱
vCr2 RῩ3.14̰
i r2 = i r2 (0 ) −
Rω[RRR̓ₗ₝̯₰ Dd2 R₝⃉RR῎ir2 R΋ 3.7 R
v Cd2
t
L r2
ῑῑῑῩ3.17̰
RRR῏ir2(0)ῒvCr2 RῩ3.14̰
RRRRRRR῏ir2 R
♸RaRR῎
῞R
Rω[RRRRR ir2
R῏RRR̓͆RRR῎RR
- 36 -
῏vCr2 R vCd2 RⒷRR῏S4
΋ 3.7ῒ₾̯₰※ῦR⒔aa♸
R₝₶Έ
RϏRRRRRRRR⒔XR_ RRR῎
ῳ₾̯₰‼̱
Ῡ3.15̰
R
RῩ3.16̰
Rω[RRRR῏̓ₗ₝̯₰ Df R₝⃉RRR῎⒔aa♸R΋ 3.8
R῎RRRR῏XYR⒔X_\
RZaRR῎
v Cd0 + v Cd2 = v Cr1 + v L1 + v L4 = v Cr1 −
M1f + M 4f
v Cd0
Lf
Ῡ3.18̰
RR῏vCr1 R
 M + M 4f 
v Cr1 = v Cd2 + 1 + 1f
 v Cd0 = VCr1 (0 )
Lf


R
ῑῑῑῩ3.18̰
ῑῑῑῩ3.19̰
RR῏X\Ξ VCr1(0)RRR῎RRRRR῏
΋ 3.8ῒ₾̯₰‼R⒔aa♸
- 37 -
ῑῑῑῩ3.20̰
ῑῑῑῩ3.21̰
iL1 = 0
iL4 = - iO
RRR῎if R
if =
v
M1f + M 4f
i L1 (0 ) − Cd0 t
Lf
Lf
RRR῏iL1(0)ῒῩ3.16̰
RRRRRR
ῑῑῑῩ3.22̰
Rω[RRRRRῩ3.6̰
RR῎if R̓͆RRRR₾̯₰‽RX
RRRR iL1 RΞ
RR῎vO῏ vS1 RRRRR
R
λRRR῎
Vd M 4f
v Cd0
−
2
Lf
M + M 4f
vS1 = Vd + 1f
v Cd0
Lf
vO = −
ῑῑῑῩ3.23̰
ῑῑῑῩ3.24̰
ῳ₾̯₰‽̱
if R̓͆RRRR⒔aa♸R΋ 3.9 RRR῎vO῏ vS1 RRRRR
Vdc
2
vS1 = Vdc
vO = −
ῑῑῑῩ3.25̰
ῑῑῑῩ3.26̰
RRR῎
΋ 3.9ῒ₾̯₰‽R⒔aa♸
ῳ₾̯₰‾̱
R S1 R₝⃉RR῏S4 R₝₶RRR῎RRRRR⒔aa♸R΋ 3.10 R
R῎vS4 R
ῑῑῑῩ3.27̰
vS4 = vCr2 + vCd2 = 0
- 38 -
RRRRR῏S4 R ZVS ̯̓⃉₝₶R␚ZRRR῎Y♸_\
Vdc = ( L1 + M14 )
R
di L1
di
+ ( L 4 + M14 ) L4
dt
dt
ῑῑῑῩ3.28̰
ῑῑῑῩ3.29̰
iL1 = iO + iL4
di
1
0=
i r1dt + L r1 r1
C r1
dt
∫
ῑῑῑῩ3.30̰
RRR῎RRRRYRR῏
Vdc
t
L1 + L 4 + 2M14
Vdc
i L4 =
t − iO
L1 + L 4 + 2M14
V (0)
i r1 = cr1 sinω r1t
Zr1
i L1 =
RRR῏ Zr1 =
ῑῑῑῩ3.31̰
ῑῑῑῩ3.32̰
ῑῑῑῩ3.33̰
L r1
1
῏ ω r1 =
C r1
C r1L r1
RRR῎RRR῏iS1 R
iS1 = i L1 + i r1 =
V (0 )
Vdc
t + Cr1 sinω r1t
L1 + L 4 + 2M14
Zr1
ῑῑῑῩ3.34̰
RRRRR῏S1 R[RR ZCS ̯̓⃉₝⃉R␚ZRRR῎RR
R῏iL1῏iL4 R
v Cr1 =
῞RΗYRR῎iL4 RZRRRR₾̯₰‿RX
1
i r1dt = VCr1 (0) cos ω r1t
C r1
∫
῏Ῡ3.31̰
῏Ῡ3.32̰
RR῎vCr1 RῩ3.33̰
R
RR
ῑῑῑῩ3.35̰
RλRR῏RRR
΋ 3.10ῒ₾̯₰‾R⒔aa♸
- 39 -
- vCr1ῺvCd1
R
ῑῑῑῩ3.36̰
RωRRR₾̯₰‾ῦRX
vO =
RR῎vO R
( L 4 + M14 )Vdc
Vdc  di L4
di  V
−  L4
+ M14 L1  = dc −
2 
dt
dt 
2 L1 + L 4 + 2M14
ῑῑῑῩ3.37̰
RRR῎
ῳ₾̯₰‾ῦ
̱
vCr1 RῩ3.36̰
Rω[RRR Dd1 R₝⃉RRR῏ir1 R΋ 3.11 R
i r1 = i r1 (0 ) −
v Cd1
t
L r1
RRR῏ir1(0)ῒvCr1 RῩ3.36̰ Rω[RRRRR ir1
RRR῎RRRRR῏ir1 R
S1 R₝₶Έ
῞R
♸RaR
ῑῑῑῩ3.38̰
R῏RRR̓͆RRR῎RR
RϏRRRRRRRR⒔XR_
R
῏vCr1 R vCd1 RⒷRR῏
RRR῎
΋ 3.11ῒ₾̯₰‾ῦR⒔aa♸
ῳ₾̯₰‿̱
iL4 RZRRRR῏΋ 3.12 R
v Cd0 + v Cd1 =
R⒔aa♸RRR῎Y♸_\
1
di
di
i L4 dt + ( L1 + M14 ) L1 + ( L 4 + M14 ) L4
C r2
dt
dt
∫
R
ῑῑῑῩ3.39̰
ῑῑῑῩ3.40̰
iL1 = iO + iL4
RRR῎RRRRYRR῏
Vdc
sinω 6 t
Z6
V
i L1 = i O + dc sinω 6 t
Z6
i L4 =
ῑῑῑῩ3.41̰
ῑῑῑῩ3.42̰
- 40 -
RRR῏ Z6 =
L1 + L 4 + 2M14
1
῏ ω6 =
C r2
C r2 ( L1 + L 4 + 2M14 )
RRR῎Ῡ3.41̰
῏Ῡ3.42̰
RR῏vCr2 RRR vO R
1
i L4 dt = Vdc (1 - cos ω 6 t) - VCd2
C r2
1

V
L1 + M14
v O = dc − v L1 = Vdc  −
cos ω 6 t
2
 2 L1 + L 4 + 2M14

∫
v Cr2 =
ῑῑῑῩ3.43̰
ῑῑῑῩ3.44̰
RRR῎vLf R
v Lf = −
M1f + M 4f
( vCd1 + vCd0 − vCr2 )
L1 + L 4 + 2M14
RRR῎vLf RῩ3.16̰
ῑῑῑῩ3.45̰
Rω[RRR₾̯₰⁀RX
RR῎
΋ 3.12ῒ₾̯₰‿R⒔aa♸
ῳ₾̯₰⁀̱
Ῡ3.45̰
RῩ3.16̰
RRR῏XYR⒔X_\
Rω[RRRR῏Df R₝⃉RRR῎⒔aa♸R΋ 3.13 R
R῎R
RZaRR῎
v Cd0 + v Cd1 = v Cr2 + v L1 + v L4 = v Cr2 −
M1f + M 4f
v Cd 0
Lf
ῑῑῑῩ3.46̰
RRRRR῏vCr2 R
 M + M 4f 
v Cr2 = v Cd1 + 1 + 1f
 v Cd0 = VCr2 (0 )
Lf


R
ῑῑῑῩ3.47̰
RR῏X\Ξ VCr2(0)RRRRR῏
ῑῑῑῩ3.48̰
iL1 = iO
- 41 -
ῑῑῑῩ3.49̰
iL4 = 0
RRR῎if R
v
M1f + M 4f
ῑῑῑῩ3.50̰
i L4 (0 ) − Cd0 t
Lf
Lf
RRR῏ iL4(0)ῒῩ3.16̰ Rω[RRRRRῩ3.41̰ RRRR iL4 RΞ
if =
RR῎if R̓͆RRRR₾̯₰›RX
RRRRRR
RR῎RR῏vO῏vS4 R
RλR
RR῎
Vdc M1f
v Cd0
+
2
Lf
3V
M + M 4f
vS4 = dc + 1f
v Cd0
2
Lf
vO =
ῑῑῑῩ3.51̰
ῑῑῑῩ3.52̰
΋ 3.13ῒ₾̯₰⁀R⒔aa♸
SS-VSI R₾̯₰›RR₾̯₰⁀R
RR₟̯₯Έ
RϏRRRRR
R_RR]
RRR῎S1 ῠS6 R ZCS῏ZVS RRRR
]⒅R␚ZRRRRR῏Z
Έ
RR῏̓₶₯₦ₗ₪₨⃉͂RRRR̓⃉₢R₶ₖ̯₰̈́₪͂Z
iO R
RR
R
R PWM ₲̯̓⃉RRR
R╥☰RRR῎
῏ ₾̯₰›RRR₾̯₰※RR iL1 R S1 R₯⃅⃉₥₦̓῏₾̯₰‿R
RR₾̯₰⁀RR iL4 R S4 R̓ₗ₝̯₰RaRR῎SS-VSI RY♸⏎
R῏
⏎
R[RR[
R῏[΃RR⏎
R
R]R[RRRZ`RRR῎RRR῏]
RZ[RRRRRRR
̯₰⁀Q₾̯₰›Q₾̯₰※Q₾̯₰‼R
]
₾̯₰R⏎
R⒏R
Y₦ₗ₪₨⃉͂
R⒏
₾̯₰R₾̯₰‽Q₾̯₰‾Q₾̯₰‿Q₾
RΒXRR῎
- 42 -
̓₶₯₦ₗ₪₨⃉͂]
`RRRY ▨
3.2.3
ₗ⃉̯̈́̓R₨⃃₪₲RR῏
R
χR`₦ₗ₪₨⃉͂›
a
RRRRR ✷✾M ₲̯̓⃉RZ
[aRZ
RRRR_
XR_
a⒔XR_
aRRRRR῏
ₗ⃉̯̈́̓
R῎vs RΈ
R₝⃉
a⒔X›
aZ
⓻RRR
R
a⒔XR_
R^aRR῎⒔X
⓻
RRRR PWM Έ
a⒔X῏vtr R^⏭⓻RRR
aΞR_
ΞRX␼RRR῎
ₗ⃉̯̈́̓R
R₝⃉
R_YRR PWM ⓻
R΋ 3.14 R
R
R
῏RR₦ₗ₪₨⃉͂›
R[RR῏₦ₗ₪₨⃉͂⏎
a⒔X₲͆₦aRοRZ
SS-VSI RR῏
ₗ⃉̯̈́̓R
ΞRRRR[΃RR
ΞR₦ₗ₪₨⃉͂⏎
RRRR₦ₗ₪₨⃉͂Z
aR῏RRR[΃RR
X␼RRR῰RRRRR῎RRRR῏⒔X
RRRR
RR⒔a_
a
a⒔
a⒔XR
R_Y῏RRRR
RRR῎
R
⓻^
⓻R
R῎Z
▨R☪RR
a m R
ZR
R\
R
R῎
ῑῑῑῩ3.53̰
΋ 3.14 R῏vs R⍟οR m῏vtr R⍟οR 1῏vtr R
R T RRR῎vs R a ΖR
⒔XRRR
R῏vs>vtr RRRR S1 R₝⃉῏S4 R₝₶῏vs<vtr RRRRR S1 R₝₶῏S4 R₝⃉RRR῎b Ζ
RRR c ΖR[RRR]ϐRZ
Έ
R
ZRR῎
SS-VSI R S1ῠS6 R ZVS ̯̓⃉₝₶R
RRRRRRRRR῎RRRRR῏
R
R
RRRRR῏₠⃉₮⃉₢
₲͆₦ο Tmin RZ
RZRR
⒔
R
_R
RRR῎Tmin R
\RRR῎
Tmin = π L r1C r1
ῑῑῑῩ3.54̰
΋ 3.14 ⑆R_⎆ mL R῏Ῡa̰R PWM ₲̯̓⃉R ZVS ̯̓⃉₝₶R
⍟οR῏
mL = 1 −
RRR
RRR vs R [
\RRR῎
Tmin
T
ῑῑῑῩ3.55̰
(a) m<mL R
(b) m>mL R
΋ 3.14ῒ
⓻^
▨RRR PWM Έ
- 43 -
Z
΋ 3.14Ῡa̰R
R
῏m<mL RRR῎ZVS RRRR Tmin R
῏m>mL RRR῎Ῡa̰RRRR PWM ₲
RRR῎RRR[RR῏΋ 3.14Ῡb̰R
̯̓⃉RR vs RZ[ΞR mL R΁RR
_RRRRR῏ZVS ̯̓⃉₝₶
RR S4῏╵R
ΧR῏vs RZR
₦οR Tmin RRΝRRR῏ZVS ̯̓⃉₝₶R
RRRRRR῎RRRY
R+mL RR[RRRRR
R₝⃉Ῡa ΖR
₶̰
῏vs R-mL RR
R
RRRRR
S4 R₝⃉̰RRR῎RR_
₶R
[₦ₗ₪₨⃉͂⏎
RY[₦ₗ₪₨⃉͂⏎
R_
₮₪₰̓ₗ₼
]_
X^R PWM ₗ⃉̯̈́̓R
₨⃉͂⏎
R
]RR
[₦ₗ₪₨⃉͂⏎
R
\RRR῎╵Y⒔aR΋ 3.2 R
͂
[R῏
+Vdc/2 R
RR῏ₕ̯₼ΝϒR◄RRR῏
RR῏╵Y⒔aR
RRaRRRR
R
RRRRR
a
⓻⎆R\R
a⒔aR⚇RR
R
R
a⒔XR-Vdc/2῏
RY[ₕ̯₼R̓ₗ₝̯₰῏
⑒R
RR₮₪₰̓ₗ₼_
R῏RR
RRRRR
R῏
a⒔X⓻
R_
RR_▨RX^⒅RRR῎
R
aRR῏S1 R̯̓⃉₝₶
⓻R
⒔XR
R
⒔XRΖ
R╵Y⒔aR Dd1-Cr1-L1 R
⃉͂₲̯̓⃉R_
`RR₮₪₰̓ₗ₼_
RRRRRR῎χ
]_
ῳ₾̯₰›̱₾̯₰※
΋ 3.15 R Mode1 R
R῏
RRRR
RRR₦ₗ₪₨⃉͂₲̯̓⃉
RRR₾̯₰‽R₾̯₰‾R
RRRR῏RR̯̓⃉₝₶\ΒR⒔XR
₝̯₰ D4 RR
R
RZR῏
RRRRRR[R῎₮₪₰̓ₗ₼_
\RRR₮₪₰̓ₗ₼
῏RRR΋ 3.14 RΈ
ₗͅ⃉͂R₾̯₰›R₾̯₰※R
₮₪₰̓ₗ₼
R
RR`[RRR῎
R\XRR SS-VSI RR῏₮₪₰̓ₗ₼Rκ☰RRR῎₮₪₰̓ₗ₼
αR
Z
RRRR῏̯̈́₰₦ₗ₪₨⃉͂῏̓₶₯₦ₗ₪₨⃉͂R`RR῏₦ₗ₪₨
⃉͂₲̯̓⃉R_
a⒔aR
RR
RR
a⒔XR
[ₕ̯₼R̓ₗ₝̯₰R\RRaRRRRRRR῎RRRRR῏ a⒔X
RR`[RY
]_
Y₦ₗ₪₨⃉͂⏎
῏₮₪₰̓ₗ₼\ΒR₦ₗ₪₨⃉
YRRRR₝⃉RRRRR₮₪₰̓ₗ₼
aRRR῎RRR῏╵Y⒔aRΒ
[₦ₗ₪
R₝⃉῏RRRRY[₦ₗ₪₨⃉͂⏎
R₝⃉RRRRRRRRR῏
₝₶RRR₮₪₰̓ₗ₼∆ RZRR῎∆ R
χ
RRR S1ῠS6 R ZVS ̯̓⃉₝
αRϓϙ⒅
R₝₶RRRRRY[₦ₗ₪₨⃉͂⏎
R₝₶RRR
]R
R S1 R₝₶῏
RR῎
3.2.4
R
RRRR῏ vs
R S1 R₝⃉῏S4 R₝
R₝⃉Ῡa ΖR
RRRRRRR῏m R
RR S1 R₲͆
RZRR̓
RRR῎SS-VSI RR῏
♸RaRRRRRR῏₮₪₰̓ₗ₼
aRRRRRRRR῎RRRRR῏₦ₗ₪₨
R
RRRR
RRRR
a⒔XR`RRRR῏
RZRR₮₪₰̓ₗ₼RRRR⒔aa♸R
R῎ₕ̯₼Y[R̓ₗ
αR
RR῏₮₪₰̓ₗ₼
RR῎RRR₮₪₰̓ₗ₼
ϓRϓϙ⒅R
RR῎
R₮₪₰̓ₗ₼̱
̈́ₗₕ₦RRRRR]\RRR῎RR
1
Vdc − v Cd1 = v Cr1 + v L1 + v O
2
R⒔X_\
R
ῑῑῑῩ3.56̰
- 44 -
RRR῎S1 R̯̓⃉₝₶\
R vCr1 R vCd1 RⒷRR῏iO RX\RRRRR῏vCr1῏vL1῏vO R
RRRR
v Cr1 =
i
1
i L1dt = O t − v Cd1
C r1
C r1
∫
ῑῑῑῩ3.57̰
vL1=0
ῑῑῑῩ3.58̰
i
1
v O = Vdc − O t
2
C r1
ῑῑῑῩ3.59̰
R῏₮₪₰̓ₗ₼
\⒢RRR῎]R
RRR῏iO R
⑆R
a⒔a⓻
a⒔XRῩ3.59̰
R⚇RR
RR῎RRRRRR῏ (3.59)
RRR῏SS-VSI RR₮₪₰̓ₗ₼
⒔XR
RR\
⓻⎆
R
⑆R S1 R⒔X vS1 R
`RR₮₪₰̓ₗ₼_
R
RλRRR῎
R₮₪₰̓ₗ₼
RRRR⒔aa♸
R₮₪₰̓ₗ₼̱
╵Y⒔aR΋ 3.15 R]R
RR₮₪₰̓ₗ₼
RRRR῎
ῑῑῑῩ3.60̰
΋ 3.15ῒ₾̯₰›̱₾̯₰※
RR῏ ₮₪₰̓ₗ₼
RRR
RRRRR S1 R̯̓⃉₝₶\ΒR⒔XRRRⒷRR
iO
t
C r1
ῳ₾̯₰‽̱₾̯₰‾
R⎆Ssec
aaXRR῏m R
R⋱_[※ RRR⒔XR
aRRR῎RRRRR῏₦ₗ₪₨⃉͂₲̯̓⃉R_
RR῎₮₪₰̓ₗ₼
vS1 =
⑒R
RλRRR῎₮₪₰̓ₗ₼
RRaRR
῏⒔aa♸R₾̯₰‽R]RRRR῎RRR
⑆R vO RRR vS1 RRRRRῩ3.25̰
⑆RRῩ3.25̰
RRRRR῏₮₪₰̓ₗ₼_
R
῏Ῡ3.26̰
RλRRR῎
RRR S4 R̯̓⃉₝₶\ΒR⒔XR
RRRR₦ₗ₪₨⃉͂₲̯̓⃉R_
RRRRR῎
- 45 -
aRR῎
R╥☰RRRRRR`
_X₠⃉₮⃉₢R⒔X_]R⌅
Rϓϙ⒅
3.2.5
SS-VSI R⒔
R\a⒔X Vdc R‼
R
a⒔X
R_X₠⃉₮⃉₢ Cd0῏Cd1῏Cd2 RRR_XRRRR
╵Y⒔aR[RRRRRR Cd0῏Cd1῏Cd2 R⒔X vCd0῏vCd1῏vCd2 R_]RR῎χ
RR῏
RR῏_X₠⃉₮⃉₢R⒔X_]R̓₶₯₦ₗ₪₨⃉͂]
aRR
aRR
a⒔X
₨⃉͂]
R
RRRRϓϙ⒅
a⒔XRRRRR⌅
R
RϏRR⌅
RRRRRR
R῏_X₠⃉₮⃉₢R⒔X_]R̓₶₯₦ₗ₪
RRRRRR`RRRRR῎
Ῡ›̰_X₠⃉₮⃉₢R⒔X_]R̓₶₯₦ₗ₪₨⃉͂]
S1 ῏S2 ῏S3 R ZVS ̯̓⃉₝₶R␚ZRRRR῏Ῡ3.10̰
RϏRR⌅
RRRῩ3.36̰
R
RRRR
vCr1 R[RRR Cd1 R⒔X vCd1 RⒷRRRRRR῎]ϐR῏S4῏S5῏S6 R ZVS ̯̓⃉₝₶]
R[RRRῩ3.14̰
RRRῩ3.27̰
RRRR vCr2 R[RRR Cd2 R⒔X vCd2 RⒷR
R
Rω[RRR῏vCd0 ῏vCd1῏vCd2
RRRRRR῎RRRRR῏VCr1(0)RRR VCr2(0)RXYR
R⒔X_]RZRRR ZVS ̯̓⃉₝₶R␚ZRRR῎
ῑῑῑῩ3.61̰
ῑῑῑῩ3.62̰
VCr1(0)ῺvCd1
VCr2(0)ῺvCd2
Ῡ3.61̰
῏Ῡ3.62̰
R␚ZRRRR
R῏PWM ₗ⃉̯̈́̓RRRR]
Cd0 R⒔X vCd0 RῩ3.19̰
͂⃅⃉₸Y♸R
₨⃉͂⏎
R₝₶R
῏Ῡ3.47̰
R
RRRR Cr1 RRR Cr2 RY
⒔XRRR῎RRRRR῏vCd0 R_]RῩ3.24̰
R⒔X_]RRR
῏Ῡ3.51̰
R
RRR῏Y♸]
aRR
RR⌅
a⒔X
RRRR vCd0῏vCd1῏vCd2 R_]RRR
a⒔XR
Cd0῏Cd1῏Cd2 RRR☥aRⒷRR῏RRRRⓣXR]
R
⒔R◄RRRR
RRRR₦ₗ₪
RRR῎
R
RRRR῏›₲͆₦RRRR
̯₰‼RRR₾̯₰⁀R_X₠⃉₮⃉₢R⒔X_]R⌅
vCd2n RXYR
R̯̈́₰₦ₗ₪₨⃉͂RRR
RYαRRR῎
Ῡ※̰_X₠⃉₮⃉₢R⒔X_]R
Ῡ3.23̰
῏̯̓⃉₝₶
a⒔X͆₺͆Ῡ
R
Ξ̰R₾
RR῎RRRR῏͂₿͆ₕ›
RRRR
RR῎
₾̯₰RRRR
⒔X vCd0n῏vCd1n῏
Rω[RR῎
ῑῑῑῩ3.63̰
vCd1n + vCd0n +vCd2n = Vdc
RRR῏nῒ] ₾̯₰R^
Ῡn=1, 2,ῑῑῑ, 7̰
vCd0n῏vCd1n῏vCd2n R[R῏_]_RRRRR∆vCd0n῏∆vCd1n῏∆vCd2n RRRR῏
(vCd1n+∆vCd1n)+(vCd0n+∆vCd0n)+(vCd2n+∆vCd2n)=Vdc
RRRRR῏XYR
ῑῑῑῩ3.64̰
RZRaR῎
∆vCd1n +∆vCd0n +∆vCd2n = 0
ῑῑῑῩ3.65̰
∆vCd0n ῏∆vCd1n ῏∆vCd2n R῏Cd0 ῏Cd1῏Cd2 R⒔aR⑅`RRR
- 46 -
RRRRRRRR῎RR῏
╵Y⒔aR
RR΋ 3.2 R]ϐRR῏₮₪₰̓ₗ₼RRRϓΕ⒅R PWM Z
a⒔X vOcnῩn R[΃RR SS-VSI R₾̯₰^
PWM̰RRR
X
∆vOpn R῏ⓣXR]
∆v Opn =
∫ (v
Ocn
₾̯₰R[RR
R
R
ῩXY῏ϓΕ
̰R[RR SS-VSI R
Z_R\
a⒔
RR῎
)
− v Opn dt
ῑῑῑῩ3.66̰
RRR῏ vOpnῒSS-VSI R
a⒔X
ῳ₾̯₰›̱
⒔aR iL1 RRRRR῏RRR╵Y⒔a iO RⒷRR῎RRRRR῏Cd0῏Cd1῏Cd2 R[RR
RR⒔aR̓͆RRR῏∆vCd01῏∆vCd11῏∆vCd21 R
a]RRRRa
∆vCd01 = ∆vCd11 =∆vCd21 = 0
RRR῎
ῑῑῑῩ3.67̰
a⒔X vOp1 RῩ3.2̰
v Op1 = v Oc1 =
RR
Vdc
2
RλRRRRR῏
ῑῑῑῩ3.68̰
∆vOcp1 R
a⒔X
RRR῎
∆vOcp1 = 0
ῑῑῑῩ3.69̰
ῳ₾̯₰※̱
iL1 RRRR vCd0 R
R῏ ir2 RRRR vCd2 RΗYRR῎RRRR⒔XR_YRRRRR
R῏vCd1 R_]RR῎RRRRR῏∆vCd02῏∆vCd12῏∆vCd22 R
∆v Cd02 =
C
1
i dt = − r1 {v Cd12 + VCr1 (0 )}
C d0 L1
C d0
∫
ῑῑῑῩ3.70̰
∆v Cd12 = − ∆v Cd02 − ∆v Cd22
=
∆v Cd22 =
(
)
)
1
C
2
i r2dt = v Cd22 2 + r2 VCr2 (0 ) − v Cd22 2 − v Cd22
C d2
C d2
∫
RRR῎ϓΕ PWM RRR
v Oc2 = −
(
C r1
C
2
2
2
v Cd12 + VCr1 (0 )} + v Cd22 − v Cd22 + r2 VCr2 (0 ) − v Cd22
{
C d0
C d2
ῑῑῑῩ3.72̰
a⒔X vOc2 R
Vdc
2
RRR῎SS-VSI R
ῑῑῑῩ3.71̰
ῑῑῑῩ3.73̰
a⒔X vOp2 RῩ3.12̰
R
RRRRR῏
a⒔X
∆vOcp2 R
R
RRR῎
∆v Ocp2 = − ( L 4 + M14 )
Vdc 2
C
+ i O 2 − r1 v Cd02 2 + ( L 4 + M14 )i O
2
Lf
Z2
- 47 -
ῑῑῑῩ3.74̰
ῳ₾̯₰‼̱
if RRRR vCd0 RΗYR῏vCd2 R
RR῎∆vCd03῏∆vCd13῏∆vCd23 R


1
1
C r1
2
2
2 2
i f dt = 1 − 2
 v Cd03 + C Vdc + Z2 i O - v Cd03
C d0
 ω 2 L f C d0 
d0
∆vCd13 = 0
(
∫
∆v Cd03 =
)


1
C r1
2
2
2 2
∆v Cd23 = -∆v Cd03 = − 1 − 2
 v Cd03 + C Vdc + Z2 i O + v Cd03
 ω 2 L f C d0 
d0
(
R
Vdc
2
a⒔X vOp3 R῏RR₾̯₰R
R t3 RRRRῩ3.23̰
R
RR
∆vOcp3 R
a⒔X
∆v Ocp3 =
ῑῑῑῩ3.77̰
ῑῑῑῩ3.78̰
RRR῎SS-VSI R
RRR῏
ῑῑῑῩ3.76̰
a⒔X vOc3 R
RRR῎ϓΕ PWM RRR
v Oc3 = −
)
ῑῑῑῩ3.75̰
M 4f
v Cd0 t3
Lf
ῑῑῑῩ3.79̰
RRR῎
ῳ₾̯₰‽̱
⒔aR iL4 RRRRR῎RRRRR῏Cd0῏Cd1῏Cd2 Ra]῏RRRRa
RR⒔aR̓͆
RRR῏∆vCd04῏∆vCd14῏∆vCd24 R
∆vCd04 = ∆vCd14 =∆vCd24 = 0
RRR῎
a⒔XRῩ3.25̰
v Oc4 = v Op4 = −
RRRRR῏
ῑῑῑῩ3.80̰
RR
Vdc
2
a⒔X
ῑῑῑῩ3.81̰
∆vOcp4 R
R
RRR῎
∆vOcp4 = 0
ῑῑῑῩ3.82̰
ῳ₾̯₰‾̱
₾̯₰‾ῦRRRR ir1 RRRR vCd1 RΗYR῏vCd0 R
RR῎RRRRR῏∆vCd05῏∆vCd15῏
∆vCd25 R
∆v Cd05 = -∆v Cd15 = − v Cd15 2 +
(
)
C r1
2
V (0 ) − v Cd15 2 + v Cd15
C d1 Cr1
(
)
C
1
2
i dt = v Cd15 2 + r1 VCr1 (0 ) − v Cd15 2 − v Cd15
C d1 r1
C d1
∆vCd25 = 0
∆v Cd15 =
∫
RRR῎RR῏ϓΕ PWM RRR
a⒔X vOc5 R
- 48 -
ῑῑῑῩ3.83̰
ῑῑῑῩ3.84̰
ῑῑῑῩ3.85̰
v Oc5 =
Vdc
2
ῑῑῑῩ3.86̰
RRR῎SS-VSI R
a⒔X vOp5 RῩ3.37̰
R t5 RRRR
̯₰R
( L 4 + M14 )Vdc
∆v Op5 =
L1 + L 4 + 2M14
R
RRRRR῏
a⒔X
∆vOcp5 RRR₾
RλRRR῎
ῑῑῑῩ3.87̰
t5
ῳ₾̯₰‿̱
iL4 RRRR vCd2 RΗYR῏RRRRRRRR῏vCd1 R
RR῎∆vCd06῏∆vCd16῏∆vCd26 R
∆vCd06 = 0
ῑῑῑῩ3.88̰
C
∆v Cd16 = -∆v Cd26 = − r2 {v Cd26 + VCr2 (0 )}
C d2
C
1
∆v Cd26 =
i L4 dt = r2 {v Cd26 + VCr2 (0 )}
C d2
C d2
ῑῑῑῩ3.89̰
∫
RRR῎ϓΕ PWM RRR
v Oc6 =
ῑῑῑῩ3.90̰
a⒔X vOc6 R
Vdc
2
ῑῑῑῩ3.91̰
RRR῏SS-VSI R
a⒔X vOp6 RῩ3.44̰
R
RRRRR῏
a⒔X
∆vOcp6 R
R
RRR῎
∆v Ocp6 = C r2 L1Vdc 2 −
L1
v Cd06 2
2
ω 6 Lf
ῑῑῑῩ3.92̰
ῳ₾̯₰⁀̱
₾̯₰‼R]ϐ῏ if RRRR vCd0 RΗYR῏vCd2 R
RR῎RRRRR῏∆vCd07῏∆vCd17῏
∆vCd27 R
∆v Cd07 =


1
1
C
i f dt = 1 − 2
v Cd07 2 + r2 Vdc 2 − v Cd07

C d0
C d0
 ω 6 L f C d0 
∫
ῑῑῑῩ3.93̰
∆vCd1= 0
ῑῑῑῩ3.94̰


1
C r2 2
2
∆v Cd27 = -∆v Cd07 = − 1 − 2
 v Cd07 + C Vdc + v Cd07
 ω 6 L f C d0 
d0
ῑῑῑῩ3.95̰
RRR῎X_῏ϓΕ PWM RRR
v Oc7 =
Vdc
2
ῑῑῑῩ3.96̰
RRR῏SS-VSI R
R῏
a⒔X vOc7 R
a⒔X
a⒔X vOp7 R῏RR₾̯₰R
∆vOcp3 R
- 49 -
R t7 RRRRῩ3.51̰
R
RRRR
∆v Op7 = −
M1f
v Cd0 t7
Lf
ῑῑῑῩ3.97̰
RRR῎
Ῡ3.67̰
3.16 R
RRRRRR╵Y⒔a iO R[RR Cd0῏Cd1῏Cd2 R⒔XR]ZR΋
ῠῩ3.97̰
R῎
ZR vCd0῏ΧZR vCd1῏
iO RZ[ΞR[RRRRRR vCd0 R
RRRῩ3.50̰
ZR vCd2 RRR῎\a⒔
R῏vCd1 RRR vCd2 R
R vCd0 R
῏Ῡ3.94̰
⎆RRR῎vCd0 R
RRRR῏Ῡ3.17̰
RRRR VCr1(0)RRR VCr2(0)R
R ir1 RRR vCd1 RΗY_RRR ir2 RRR vCd2 RΗY_R\R
RR
R
RRRRRRX\RΞRR
RRR῏if RRR vCd0 RΗY_R῏ir1 RRR vCd1 RΗY_
RRR ir2 RRR vCd2 RΗY_RR
RY
RRRR
R ir1(0)RRR ir2(0)RΗYRR῎RRRRR῏if RRR vCd0 RΗY_
R
R῎iO R[RRR
RRRRR
⎆RRRRRRR῏RRRRRRR if R
RRRῩ3.19̰ RRRῩ3.47̰ R
RRRῩ3.38̰
RRRR῎RRR῏Ῡ3.22̰
R iL1(0)RRR iL4(0)R iO R[RRRRR^aRRRR῏RRRRR
R
RRR if R_YRRRRRRR῎RRRRRῩ3.75̰
R῎RRRR
⒔X Vdc R 283V RRR῎
RRRR῏vCd0 RY
RRR VCr1(0)RRR VCr2(0)RY
R῏vCd1 RRR vCd2 R
RRRR῏ir1(0)RRR ir2(0)R
_YRRR vCd0 RΗY_R vCd1 RΗY_RRR vCd2 RΗY_R\R
RR῎vCd0
RR῎RRX♱R
RRRRRRX\RΞ
RRR῎
΋ 3.16ῒ╵Y⒔a̱vCd0῏vCd1῏vCd2 ]Z
╵Y⒔a iO R[RR
RR
R῏Ῡ3.66̰
R῎
R
⓻͂₿͆ₕ›
ZR vCd0῏vCd1῏vCd2 R_]R
vCd0῏vCd1῏vCd2 R Vdc R
R
⓻͂₿͆ₕ›
a⒔X
῏ΧZR
ⒷR‼_
☼_
RRR
[ₕ̯₼R₦ₗ₪₨⃉͂⏎
a⒔XR
R[RR_
R῏RRRR_]R
⒔X Vdc R 283V῏
aRRR
a⒔X
- 50 -
a⒔X
῏ ZR῏
RϓΕ PWM R[R
R
⓻͂₿͆ₕR
RRY[ₕ̯₼R₦ₗ₪₨⃉͂⏎
RR῎
R₤ͅ⃁̯͆₤⃃⃉R
RRRλYRR]ZR΋ 3.17 R
aRRϓΕ PWM R[RR
RϓΕ PWM R[RR
R₮₪₰̓ₗ₼SR 3µsec῏\a⒔
R῏
RRRR
R῎RRRR
⓻⎆R 10kHz R
RZR[RR
R
΋ 3.17ῒ╵Y⒔a̱
΋ 3.16 R
⏎
΋ 3.3 R
]Z
RRRR῏iO RRRRR vCd0 R vCd1 RRR vCd2 R‼γX
΋ 3.17 RR῏RRRR⒔X_]R
3.2.6
a⒔X
\
R
a⒔XRRRRRR⌅
RRRR῏
RRRRRRRRR῎
RRY♸₲⃅₽̯̓RZ
R S1 R⒔X vS1 R
RRR
[Ξ vS1peak R₾̯₰‼R
a
R,Ῡ3.24̰
RR῏
RλR
RR῎
vS1peak = Vdc +
M1f + M 4f
v Cd0
Lf
S1 RaRR⒔a iS1 R₾̯₰‿R
iS1 = i L1 = i O +
R῏iS1peak R
RRR῎
[Ξ iS1peak RRR῎Ῡ3.42̰
Vdc
sinω 6 t
Z6
ῑῑῑῩ3.99̰
Vdc
Z6
῏Ῡ3.100̰
ῑῑῑῩ3.100̰
῏₦ₗ₪₨⃉͂⏎
R\
⒔Xῑ⒔a☥aRR
Y♸⏎
ΞR
\
[aRRR῏Vd=283[V]῏iO=20[A]῏L1=L4 ῏Lr1=Lr2 ῏Cr1=Cr2 ῏vCd1=vCd0=vCd2=Vdc/3
RR῏₦ₗ₪₨⃉͂⏎
R]ZRR
iS1peakΌ25[A]
vS1peakΌ400[V]
R
RR
RλRRR῎
iS1peak = i O +
Ῡ3.98̰
ῑῑῑῩ3.98̰
ῑῑῑῩ3.101̰
ῑῑῑῩ3.102̰
RϏRRRRRRR῎Ῡ3.98̰
῏Ῡ3.102̰
L1 L 4
=
≤ 0.386
Lf Lf
R]RR῏Ῡ3.100̰
RR
ῑῑῑῩ3.103̰
῏Ῡ3.101̰
RR
- 51 -
C r1
≤ 1.25 × 10 −3
L1
ῑῑῑῩ3.104̰
R]RRR῎RRR῏Cr1῏Cr2 RXYRRRRZ\RR῎
ῑῑῑῩ3.105̰
Cr1 = Cr2 = 0.05̰µF̰
L1῏L4῏Lf RῩ3.103̰
ῠῩ3.105̰
RRXYRΞR
RRRR῎
ῑῑῑῩ3.106̰
ῑῑῑῩ3.107̰
L1 = L4 =40̰µH̰
Lf =103.6̰µH̰
RRRR῏VCr1(0)῏VCr2(0)RῩ3.19̰
῏Ῡ3.47̰
RR
ῑῑῑῩ3.108̰
VCr1(0) = VCr2(0)=305.7 [V]
RRR῎ir1 RRR ir2 R
[ΞR 5̰A̰RRRRῩ3.8̰
῏Ῡ3.33̰
RR
ῑῑῑῩ3.109̰
Lr1 = Lr2 =187̰µH̰
R]RRR῎RR
῏Ῡ3.54̰
RRR῏Dr1῏Dd1῏Df R
R
]RR῎Dr1 R
RR῏Ῡ3.33̰
R
₲͆₦ο Tmin R 9.6̰µsec̰RRR῎
RR
₦ₗ₪₨⃉͂⏎
RaRR
[⒔a iDr1max R₾̯₰ 5 RaRR
῏Ῡ3.108̰
[⒔aRRR
⍟⒔aR
[ΞRX␼RR῎RRR
RR
ῑῑῑῩ3.110̰
iDr1max=6.7 [A]
RRR῎Dr1 R
[⒔X vDr1max R₾̯₰ 6 R
R῏
ῑῑῑῩ3.111̰
vDr1max= -94.3 [V]
RRR῎Dd1 R
[⒔a iDd1max R₾̯₰ 2 RRRRῩ3.6̰
R
[ΞRⒷRRRR
ῑῑῑῩ3.112̰
iDd1max=20.6 [A]
RRR῎Dd1 R
[⒔X vDd1max R₾̯₰ 3 R
R῏Ῡ3.108̰
RR
ῑῑῑῩ3.113̰
vDr1max= -(305.7 - 188.6) = -117.1 [V]
RRR῎Df R
῏Ῡ3.22̰
[⒔a iDfmax R₾̯₰ 3 RRRRῩ3.38̰
R⋱_[›
ῑῑῑῩ3.114̰
[⒔X vDfmax R Df R^\⒔
R
R῏
ῑῑῑῩ3.115̰
vDfmax= -94.3 [V]
RRR῎Dr1῏Dd1 ῏Df R
⒔X
RλRRR῎Ῡ3.6̰
RR
iDfmax=12.7[A]
RRR῎Df R
[XY⒔XRRR
[XY⒔XRRRRRῩ3.102̰
R[R῏1/4 \⒢῏Dr1 R
[⒔aRῩ3.101̰ R
RλRR
RR⒔a
₦ₗ₪₨⃉͂⏎
R
R[R῏1/4 \⒢῏
Df R[RRR^_\⒢῏Dd1 R[RRR]\⒢RRR῎ₕ̯₼Y[R̓ₗ₝̯₰ Dr2῏Dd2 R
RRRR῎RRRR Dr1῏Dd1 R]R
[ΞRRR῎
- 52 -
3.3 ̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RR]Z^
χZRR῏
RR
aR^
RRR₤ͅ⃁̯͆₤⃃⃉RRR῏\XRR SS-VSI R HS-VSI R
῏₮₪₰̓ₗ₼
Y♸
3.3.1
ZR
΋ 3.18 R SS-VSI R
₰][RΪ
Z̯͂̓₰
a 50A̰R
R῎
⓻^
☛]⒔]
Zₕ̯̈́₰
▨RRR
╌⒔
RΞR\ZRRRRR
[
R῎PWM Έ
☪R῏
Z
Y♸RZ
⒔a 50A̰
῏
\a⒔]
R῏
╌
⒔X 1200V῏\
⒔
R DSPῩTMS320C31῏
Ῡ͂₪₸₾̯̓ῒXZ⒔
⒔X 800V῏\
6RI50E-80Ῡ\
Z῏
RZ[RRY_\
Ζ 200V RR☛]⒔X\Z
RYRR╪
R
⒔
⒔a 50A̰RRR_
☪RR῎
RRRR̯̈́₰₦ₗ₪₨⃉͂
Switched Voltage Source InverterῒXY῏HS-VSI Ra
₦ₗ₪₨⃉͂⏎
⍟Y♸
Y♸RRZ΂RR῎╵YR
☪R῏╵YR\ZR\a⒔]
RR῎\a⒔
Ζ̓ₗ₝̯₰₷͆₪₥Za
R῎Z
⒔X 1200V῏\
_a̓ₗ₝̯
ZRR῎₟̯₯₰⃅ₗ̈́R₶ₜ₯͂₸⃅][₟̯₯
Ῡ0.75kW̰R⌉
₠⃉₮⃉₢ Cdc RRRZaRRRRR
R
S1ῠS6 RR
\̓ₗ₝̯₰₾₥⃁̯͆ RM50CIA24F RRR
Z̰R
0.75kW̰R͂₪₸͆⃉͂RRRRR
R RCD ̓ₗ₸῏
R῎
₦ₗ₪₨⃉͂⏎
☪RR῎RR[RY♸\⎆Rλ 3.1 R
΋ 3.19 R῏^
R
\̓ₗ₝̯₰₾₥⃁̯͆ RM50CA24FῩRRRR\
₰⃅ₗ̈́ ICῩM57957L῏
Z
YR
R
☰
₤₦₭₼R
╌⒔
40MHz̰R☪RR
ΖRR
αR
Z IGBT ₾₥⃁̯͆ MG50Q2YS9Ῡ\
R̓ₗ₝̯₰RR
⒔
]_
a⓻
Ζ⒔X
̰R
PWM ₗ⃉̯̈́̓ῩHard₤₦₭₼
R SS-VSI R]RRRR
₤₦₭₼R SS-VSI R⏁R]RRRR῎
΋ 3.18ῒSS-VSI R
- 53 -
₤₦₭₼
Z
ZR
R῎₦₱̈́
☪RR῎₦₱̈́\⎆Rλ 3.1
λ 3.1ῒY♸\⎆
\
\a⒔X Vdc
SS-VSI
HS-VSI
Cr1, Cr2
0.047 [µF]
10 [kHz]
Lr1, Lr2
104 [µH]
₦₱̈́₠⃉₮⃉₢
0.022[µF]
Cdc
1800[µF]
Lf
27[µH]
₦₱̈́̓ₗ₝̯₰
6JG11
Cd0, Cd1, Cd2
1000[µF]
n1/nf
0.79
₮₪₰̓ₗ₼S
3[µsec]
L1ῠL6
17[µH]
͂₿͆ₕ
⓻⎆
΋ 3.19ῒ̯̈́₰₦ₗ₪₨⃉͂⒔X
3.3.2
₦ₗ₪₨⃉͂]ZR
PWM ₗ⃉̯̈́̓R
̯⃉₝₶R␚ZRRRR῎vS1 R₵̯͂Ξ vS1peak R⒔
RRR῏Ῡ3.9̰
R 1.5 γ\⒢RR
⒔a
ZR
RRRλ 3.1 RY♸\⎆RR῏
RRRRR
aZ
R
Z
R῎ZCS ̯̓⃉₝⃉῏ ZVS ̓
⒔XR 1.5 γ\⒢RR
RRRR῎
⍟₠⃉₮⃉₢ Cr1 R⒔X vCr1 R⒔
XRR῎΋ 3.21 R S1 R₦ₗ₪₨⃉͂
aZ
⒔XRRR a Ζ⒔aR⓻
a⒔XR PWM Z
RRR῏
R HS-VSI R]ϐR⒔a⓻
⒔XRRR a Ζ⒔aR⓻
R
0.75 RR῏₦ₗ₪₨⃉͂₲̯̓⃉R_
R῏
Y♸
⒔X
RRRR⒔Xῑ
R῎Ῡa̰R̯̓⃉₝⃉῏Ῡb̰R̯̓⃉₝₶RRR῎
΋ 3.22Ῡa̰R SS-VSI RRRR
RR
10[Ω]
a]Z
΋ 3.20 R SS-VSI R S1 R⒔a iS1 RRR⒔X vS1 R⓻
R
₦₱̈́\
283 [V]
R῎RRRR
a
RRR₮₪₰̓ₗ₼_
a⒔aRZ
R]RRRRR῎
- 54 -
῏Ῡb̰R HS-VSI RR
⓻⎆R 60Hz῏Z
R
⓻RRRRRRZ
a m R
RRRRR῎SS-VSI
RRRRR῏Ῡb̰
΋ 3.20ῒ₦ₗ₪₨⃉͂⓻
Ῡa̰̯̓⃉₝⃉
Ῡb̰̯̓⃉₝₶
΋ 3.21ῒSS-VSI R S1 RRRR₦ₗ₪₨⃉͂
Ῡa̰SS-VSI
Z
Ῡb̰HS-VSI
΋ 3.22ῒ
a⓻
- 55 -
΋ 3.23Ῡa̰R
R HS-VSI R
⏎
a⒔aR_YRRR
RaRR_
R SS-VSI R
⒔a]ZR
R῎
⏎
RaRR_
a⒔aR\a⒔]
⒔a]Z῏Ῡb̰
RZ[RRY_\
RΞR_YRRR\ZRR῎Ῡa̰RRRR῏╵Y⒔aRaRR L1 ῏L4 RRR
⃉͂⏎
R⒔aR
a⒔aRΗ[RRRRRRΗYRRR῏RRX
R Lr1῏Dr1῏Dd1῏Lf RaRR⒔aR῏
Y♸R]
R╵Y⒔aRX[RRRRRR
R⒔aRῩb̰R
R⒔
a⒔aR
RR╵YR
R
⍟Y♸RZ[RR
RRRRRX\ΞRRR῎RRR῏
RRRR῎SS-VSI RRRR
R HS-VSI R⒔aRR[RRRR῏
RRR⒔aR[R῏Cr1῏Lr1 RRR
₦ₗ₪₨⃉͂⏎
⍟⒔aR
Ῡa̰SS-VSI
Ῡb̰HS-VSI
΋ 3.23ῒ
a⒔aR[RR
- 56 -
₦ₗ₪₨
⏎
R_
⒔a]Z
⍟
₦ₗ₪₨⃉͂⏎
R̯̓⃉₝⃉
RRRRRRRR῎
3.3.3
₮₪₰̓ₗ₼
΋ 3.24 R
a
]_
⓻⎆ 2[Hz]RRRR
αR
a⒔a⓻
₪₰̓ₗ₼∆R 3µsec RRR῎Ῡa̰R HS-VSI R
⓻
RRR῎RRRR₦ₗ₪₨⃉͂₲̯̓⃉R_
a
R^
RRR῏HS-VSI RR⒔a⓻
[R῏SS-VSI RRa
RZ
⓻RZ
⒔XR
R῎RRRR῏Z
a⒔a⓻
῏Ῡb̰R SS-VSI R
RRR₮₪₰̓ₗ₼_
R[RR⚇R῏
RRRRR῎
a⒔aR⍟οR
RRRRRR
a m R[RR
a⒔XR]ZR
R]ZR
R῎
῏SS-VSI R
Ῡb̰HS-VSI
a⓻
Ῡf = 2 [Hz], m = 0.15, ∆ = 3 [µsec]̰
΋ 3.25ῒZ
a̱
- 57 -
a⒔X]Z
a⒔XR
ZRϓΕ PWM R∆=0῏
R῎m<0.3 RZ\RR
Ῡa̰SS-VSI
΋ 3.24ῒ\[
a⒔a
R
χ⓻Z_RRR῎ΧZR HS-VSI R∆=3[µsec]῏
[ZR SS-VSI R∆=3[µsec]RRR
a m R 0.15῏₮
RRRRRRRRRRR῎
΋ 3.25 R₤ͅ⃁̯͆₤⃃⃉RRRZ
Z
R
a⒔
XRϓΕ PWM R
RRR]RRRR῎ₗ⃉̯̈́̓R
RRΞRZ\RRRR῏
₦ₗ₪₨⃉͂⏎
R₝⃉
a
⓻⎆R\RRR
R[RR₮₪₰̓ₗ₼
[RRRR῎RRRR῏ HS-VSI RR῏΋ 3.24 R
RRRRR῏
RRR῏SS-VSI RR 3.2.4 R
]_
RR₮₪₰̓ₗ₼
XR
a⒔a iO R[RRRR῏(3.59)
RRRRRRR῎RRR῏HS-VSI RR[RR
RRRR
a⒔
a⒔XR]RRRRRR῏
a⒔
RR῎RRRRR῏₮₪₰̓ₗ₼Ε]RRR
R☪RR
῏SS-VSI R
a⒔
a⒔XR]RRR῎RR m R^XRR῏΋ 3.14(b)R₦ₗ₪
΋ 3.26 R₤ͅ⃁̯͆₤⃃⃉RRR m R[RR
XYR
a⒔aR⚇RRR
R⋱_[※
₨⃉͂₲̯̓⃉RΦ☪RRRR῎RRRR῏₦ₗ₪₨⃉͂Y⎆R
]Y⎆R
R
a⒔XRϓΕ PWM RR
aR₮₪₰̓ₗ₼⚇RRϑZRRRRRRRR῎m≤0.85 RZ\RR
XRϓΕ PWM RRR]ⒷR
R
a⒔aR[RR⚇RRZ
αRRR῏
RRRZRRR῎0.3≤m<0.85 R^XRZ\RRR῏SS-VSI R
RRRR῎RR^XRR῏
῏m R
RR῏₮₪₰̓ₗ₼RΕ
a⒔X\YR⌅
R
a⒔XR⚇RaR]ZR
RRRR῎
R῎⚇RaR
RR῎
ῑῑῑῩ3.116̰
m<0.85 R΋ 3.14Ῡa̰RZ
▨῏m>0.85 R΋ 3.14Ῡb̰RZ
▨R☪RRRRRR῏m>0.85
RR⚇RaR[RRRRRRRR῏m<0.85 RRRR⚇RaRϓΕ⒅R PWM Z
R⚇RaR]ⒷRRR῏a
RZ
⓻
aR]RRRRRR
΋ 3.26ῒZ
a̱⚇Ra]Z
- 58 -
RRRR῎
R
RR
aλY
3.3.4
΋ 3.27 R῏
RRR HS-VSI R SS-VSI R
⒔aRΗ[RRRRR῏
aR
R῏
╵Y
╵Y
RR 9.2pt῏
RR῎SS-VSI R
RR 0.7pt R
΋ 3.27ῒ
΋ 3.28 R SS-VSI R
⏎
R[
ₕ͂₯͆ L1 ῏L4 ῏Lf R⒉[R
⃉͂⏎
R⏎
a⒔aR[RR
RR\R῏
R[RR[
R
[
RR῎
a⒔aR[RR[
RR₮̯̓
RΞRRR῎͆
ϓRR῎
₦ₗ₪₨
a⒔aRΗYRRRRRRΗRRRRR῏
R]a⒔aR^R
a⒔aR[RRRX\RRRRR῏
R^R
RRRR῎
₦ₗ₪₨⃉͂⏎
a⒔aR[R῏]a⒔aR[RR[
RRRRR῏
aR
⍟Y♸
R῎
RῩa̰R
a⒔aRΗYRRRRRR῏]a⒔a
R[
R^R῏[
R^R
⍟Y♸RRRR[
RRR L1 ῏L4 ῏Lf R[
RΗYR
R
RRRR῎RRRRR῏
RῩa̰
RR῎RRRR῏
a⒔aRΗYR
RRRRR`RRRRR῎
RRR῏╵YaaR
⍟Y♸R[
RRRRR῏╵YR
aRRR[
R
RRRX\Ξ von῏
R
RRRR
₦ₗ₪₨⃉͂⏎
R[
RR῎SS-VSI R[
RRR῎
RRRRRX\RRR῎RRR[R῏
RR]\[R῏₦ₗ₪₨⃉͂⏎
RR
a
aR^
R῎Ῡa̰R
R῏
R῎RRRR
aR 90.5%RRR῎HS-VSI R[
R
a⒔aR[RR
RRΗYRRRRR῏]a⒔aRΗYR
R
a
aR
RRRRR_RRRR῎
Ῡb̰R
_RR῏
[
aRRRR῏RRRRX
RRR L1 ῏L4 ῏Lf R[
[
a⒔aR[RR
⍟Y♸R[
R῏[RR
R῏΋ 3.27
₦ₗ₪₨⃉͂⏎
῏RR
RaRR⒔aR[RRRX[RR῎₝⃉⒔XR⒔aR[R
ΖR╵Y⒔a ia῏ib῏ic R
i a = 2 Isinωt
2 

i b = 2 Isin ωt − π 

3 
ῑῑῑῩ3.117̰
ῑῑῑῩ3.118̰
- 59 -
Ῡa̰
⏎
Ῡb̰]a⒔aR[RR
R[
⏎
΋ 3.28ῒSS-VSI R[
[
R
]`
4 

i c = 2 Isin ωt − π 

3 
RRRRRRR῏
₦ₗ₪₨⃉͂⏎
T
Pon =
ῑῑῑῩ3.119̰
∫ (
RRRR]\[R
a
T R[RR_
)
1
2 i + i b + i c v on dt = 4 2 Iv on
T 0 a
ῑῑῑῩ3.120̰
R
RRR῎Ῡ3.120̰
R[
R╵Y⒔aR[RRRX[R῏╵YaaRX[RRR῎΋ 3.29 R
aRRR[
]ZR
Pon R
RR῏]\[R╵Y⒔aR[RRRX[RR῎RRR῏SS-VSI
R῎
- 60 -
a⒔aR[RR
Ῡa̰
Ῡb̰[
΋ 3.29ῒSS-VSI R
΋ 3.30 R`╵Y
\⓻YZ
Z
YR
R]`
a⒔aR[RR
aRRR[
\⓻ϑZ]Z
3.3.5
Ῡa̰R
a
RRRR HS-VSI R SS-VSI R
₦ₗ₪₨⃉͂⏎
R⒔aRRR⒔XR
YRRR῎
₦ₗ₪₨⃉͂⏎
S1 R⒔X vS1 RYZ
YR
R῎10ῠ25MHz ╦
RRR῎RRR῏HS-VSI RRRR S1 R⒔XR_
RRR S1 R⒔XR῏ZVS ̯̓⃉₝₶
R῏dv/dt RϑZRRRRRRRRRR
- 61 -
\⓻ϑ
⓻RRRRR[R῏SS-VSI R
῏₾̯₰※RRR₾̯₰※ῦRRRRZ
RRRR῎
R
⓻
R
Ῡb̰R S1 R⒔aRYZ
YR
R῎⒔aR⏁
⓻⎆aXR
RRR῏SS-VSI RRRR S1 R⒔aR῏ZCS ̯̓⃉₝⃉
\⓻ϑZ
YR
῏₾̯₰‾RRRRZ
RRR῎
⓻
R
R῏di/dt RϑZRRRRRRRRR῎
̯͆₸ₕ⃉₭₱R☪RR_
ₕ⃉₭₱R ESCO
ZRRRR
̈́ₗ₧R[\R
☪RR῎΋ 3.31 R
RRRR̯͆₸ₕ⃉₭₱RZ␻RR῎[\
`╵Y
RRRR[\
₧RϑZRR
RR῎΋ 3.31 R[\Y♸R
YR΋ 3.32 R
RRRR῏ₗ⃉̯̈́̓RR 1m R a
RRₗ⃉̯̈́̓R[`₲̈́͆RY_RR῎
R῎15ῠ20MHz ╦
R SS-VSI RRRR_
YR]RRR῎
Ῡa̰⒔X
Ῡb̰⒔a
΋ 3.30ῒ
R῎̯͆₸
₦ₗ₪₨⃉͂⏎
- 62 -
RRRR
\⓻^
̈́ₗ
΋ 3.31ῒ_
̈́ₗ₧[\Y♸
΋ 3.32ῒ_
̈́ₗ₧^
3.4 RRR
χ
RR῏[※
R`RRRRR
̯⃉₝₶Y♸῏
⍟₠⃉₮⃉₢Y
χY♸RRR῏̓͆⒔a̯̓⃉₝⃉Y♸῏̓͆⒔X̓
⒔◄
Y♸RΦ☪RR⍠RR̓₶₯₦ₗ₪₨⃉͂⒔X
ₗ⃉̯̈́̓R\XRR῎RRₗ⃉̯̈́̓R
R῏
⍟Y♸RZ
Έ
⃉₢R╥☰RRR῏Z
₰̓ₗ₼_
χ
R
⍟Y♸R῏
R╥☰῏̓₶₯₦ₗ₪₨⃉͂R
R
YR
]_
⑆R
⒔XRZR῏]R
RRR
RRRR῎χ
RRR
RRRRR
ₗ⃉̯̈́̓RY♸]
a⒔XR₮₪
R
RR῎
₾̯₰Rϓϙ⒅YZ
RRR῏XYRΧRRRR`RRRRR῎
ῑ ₮₪₰̓ₗ₼
R[
ZR
RRRRR⒔a̓⃉₢῏⒔X̓
RRRRRRR῏₮₪₰̓ₗ₼_
RR῏\XRR̓₶₯₦ₗ₪₨⃉͂⒔X
₮₪₰̓ₗ₼
RRRR
RR῎₮₪₰̓ₗ₼
RRRR PWM ₲̯̓⃉R_
RR῎RRR
]⏎
αR
a⒔XR
a
⒔XRΖ
χ
ϓ
ZR╵Y⒔aR
⓻⎆R\R
RR
RRRRR
\RRR῎RRRRR῏
a⒔aR⚇R῎
☼Rₗ⃉̯̈́̓RR῏R
RRRRR PWM ₲̯̓⃉R_
R\XRR̓₶₯₦ₗ₪₨⃉͂⒔X
RRR῏₦ₗ₪₨⃉͂]
\ΒRRRⒷRR⒔XR
- 63 -
RR₮₪₰̓ₗ₼_
ₗ⃉̯̈́̓R῏₮₪₰̓ₗ₼
R
R
RR
aRRRRR῏₦ₗ₪₨⃉͂₲̯̓⃉
R_
`RR₮₪₰̓ₗ₼_
R
RR
ῑ _X₠⃉₮⃉₢R⒔X_]R̓₶₯₦ₗ₪₨⃉͂]
R
aRϏRR⌅
\a͆⃉͂⒔XR‼RR_X₠⃉₮⃉₢R_XRRRR῏
╵Y⒔aR[RRRRRR
R_X₠⃉₮⃉₢R⒔XR_]RR῎RRR῏RRRR⒔X_]R̓₶₯₦ₗ₪₨⃉͂]
R
a⒔XR⌅
ϓϙYZR
R
RRRR῎
RRR῏Y♸\⎆RZ
RRR῏̓₶₯₦ₗ₪₨⃉͂]
ΊR`RRRRR῎
R
ₗ⃉̯̈́̓R]ⒷRRRR]RRRRRR
a
⓻⎆R\R
RRRR
R
R῏
⓻⎆ 2Hz R
⓻
a
RR῎₮₪₰̓ₗ₼
]_
αRRRR῏
RR 3 µsec RZ\R῏PWM ₲̯̓⃉R_
`
]RR῎\XY♸R
a⒔aR₮₪₰̓ₗ₼⚇RRRR῏a
RZ
R]RRRRRR`RRRRR῎
a^
R
RR῎\XY♸R
90.5%R␚ZR῏̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R^R
a
R̯̈́₰₦ₗ₪₨⃉͂
a
̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RR
R
a⓻
☼R̯̈́₰₦ₗ₪₨⃉͂ PWM ₗ⃉̯̈́̓R\XY♸R
RR῎₮₪₰̓ₗ₼SRa
⒔aR^
RRRRR῏
R
\XY♸R
╵Y[R
╵Y[R 0.7pt῏
[
a
╵Y[R 9.2pt
RR῎
₦ₗ₪₨⃉͂⏎
R⒔XRRR⒔aR
\⓻YZRRR_
̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RR^
R
RR῎
̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RRa
R
YR]RR῏̓₶₯₦ₗ₪₨⃉͂R]]RRR
\⓻ϑZR
RRRRRR`RRRRR῎
- 64 -
₦ₗ₪₨⃉͂⏎
̈́ₗ₧R[\R῏
R⒔XRRR⒔aR
_
̰1̰E. A. Rodrigues, E. A. A. Coelho, “Two Level Full Bridge Inverter with Soft Switching without
Stresses”, PESC2001, pp. 1131-1134, 2001.
`῏_`⌊
[※]
Ζ⒔X
῏⑆[
[⚃῏⑆Y◈☟῏`
̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RRR
⓻₲͆₦⒔a₯⃅⃉₦R☪RR
λY῰῏⒔
Y^][⒔a_
Y a῏SPC-01-26῏pp.1-5, 2001.
[‼]
M. Yoshida, M. Nakaoka, “Operating Evaluations of Three-Phase Voltage Source Soft
Switching Inverter with A Single Commutation Type Resonant AC Link Snubber,” IPEC 2000
Tokyo, pp.1755-1759, 2000.
[‽]
M. Nakamura, T. Yamazaki, M. Shimada, M. Rukonuzzama, H. Iyomori, E. Hiraki, M.
Makaoka, “A Novel Pulse Regenerative Auxiliary Edge Resonant Bridge Leg Link Soft
Commutation Snubber-Assisted Three Phase Soft Switching Sinewave PWM Inverter,” IEEE
33rd Power Electronics Specialists Conference Record, pp.1935-1940, 2002.
[‾]
⑆[
[⚃῏
῏T. Ahmed῏_`⌊
῏⑆Y◈☟῏`ₕ͂₭ₖ₷_
₦₱̈́ₗ⃉̯̈́̓R⍠₦ₗ₪₨⃉͂₤̯₞⃉₦RRR PWM ₲̯̓⃉῰῏ ⒔
Έ Y Έ
[‿]
ZZ☚
⍟Χa
_\
_῏EE2002-41῏pp.25-30῏2002.
῏[aX⚅῏`Z
R
␢R̓₶₯₦ₗ₪₨⃉͂ PWM ₗ⃉̯̈́̓῰῏ ⒔
ϙ D῏Vol. 120-D῏No. 7῏pp. 905-915῏2000.
[⁀]
Y. Murai, K. Adachi and H. Ishikawa, “A Simple-Control New Soft-Switched PWM Inverter”,
Conference Record of the 1998 IEEE Industry Applications Conference, Vol. 2, pp. 1307 - 1312,
1998.
[⁁]
[aX⚅῏ZZ☚
_Z 10 ΰ⒔
῏[X☘
῏`Z
R
␢R̓₶₯₦ₗ₪₨⃉͂Rₗ⃉̯̈́̓῰
῏
Y⏁ [Y ⌝ϙ_ ̰‽̰
῏No.860῏p.240῏1998.
- 65 -
[‽
⒔a ₗ⃉̯̈́̓R̓₶₯₦ₗ₪
₨⃉͂YῩ[☥aYῑ
aY̰
⒔a ₗ⃉̯̈́̓R]\R̓₶₯₦ₗ₪₨⃉͂]
]Rώ☪Z
4.1
⒔a
ₗ⃉̯̈́̓R῏[‼
RR῏⒔
⓻RZ
R⒔a
RRR῏
R
R
RR⒔X
ₗ⃉̯̈́̓R[R῏Δ[
a⒔a₲͆₦aR[R῏PWM Z
R
RRR῎R
RR
a⒔aRZ
RR῎
X^R῏⒔a
ῑ
ₗ⃉̯̈́̓R]\RRR῏
a[R₠⃉₮⃉₢RZ[RRRR῏
ῑ \a͆⃉͂⒔a Idc RZ
RRR῏
aR
RRR
\⓻R
a⒔XR]a⒔XRR
RR
RRRRRRYαR
RR
ῑ ⒔Y₠⃉₮⃉₢R
RRRRR\
ῑ ₦ₗ₪₨⃉͂⏎
⒔
RR
`RRR
RΝϒβYRRRRRRΝϒ⒔aR\a͆⃉͂⒔aRZ
⒔aR
RR῏
RR
ῑ ₮₪₰̓ₗ₼R╥☰RRR
RRR
RR
RRR῏[ϑ
^⒔₤₦₭₼RRR
Ϋ♱
☪ₗ⃉̯̈́̓RRRR
ₗ⃉̯̈́̓R῏⒔X
ₗ⃉̯̈́̓R^R῏ο
R
RRR
R_`RR
☪YR
῎
[1]-[3]
RRRRRR῏⒔a
R
RRRRR῎RR[RRϓ☘RRR῏
Ῡ›̰₦ₗ₪₨⃉͂⏎
R`[
Ῡ※̰\a͆ₕ͂₯͆ῩXY῏DCL Ra
̰R`[
Ῡ‼̰₤₦₭₼RX\ZR`[
R
RRRR῎
⒔a
ₗ⃉̯̈́̓R῏₦ₗ₪₨⃉͂RRRRR
ₗ₪₨⃉͂⏎
R
Δ
̓RRRR῏̯̓⃉₝₶
]RRR₦ₗ₪₨⃉͂
]ZRκ☰RRR῎
R
Δ
a₠⃉₮⃉₢RΝϒR◄
]ZR
RRRR῏₦
R₦ₗ₪₨⃉͂⏎
⎆Ssecῠ⎆ msec \⒢RRRRR῏
_R
R₢ₗ͆₦
aZ
⓻⎆R⎆║ῠ⎆ k✵z \⒢RZ`RRR῎₦ₗ₪₨⃉͂
ZαR
⓻⎆RZ
`RRRRR῏₦ₗ₪₨⃉͂RRR Idc R`]RϑZRRRR῏✱✰L RRX^R⎆
ῠ⎆║
mH R[RRₗ⃉̓͂̓⃉₦Z_R
aR[
RRRRRRRRR῏DCL RR[
RR[
RRRR⎽[RRR῎[RR DCL R⏫␻R
R[RRRR῎
RRRRR῏₦ₗ₪₨⃉͂
⓻⎆R
⓻YR
RRR῏Idc R₦ₗ₪₨⃉͂͆₸͆RϑZRR῏DCL R
- 66 -
RRRR῎
YRYαRRR῎
⓻₦ₗ₪₨⃉͂
₾̯̓RRR☛]Z╵YR
YR☛]Z_RR
RRRRR ῎⒔a
RRR῏Z
⍟
R`[ΧRY
RXYR
Δ
]ZR
R
♆☪RR╺_
⓻₦ₗ₪₨⃉͂RRR῎⒔a
⍟
RRR῏
⒔R◄
⃉₮⃉₢⒔X͂⃅⃉₸
R₦ₗ₪
RΗ[῏RRRR
R῏XYRZ
ῑ ✱✰L R
ₗ⃉̯̈́̓R
ₗ⃉̯̈́̓R῏₦ₗ₪₨⃉͂
R
RR῎`
a
╺_
R
R
⍟⒔a
XRR῎
RRR
⍟
R
₯⃅⃉₦R☪RR
⍟₠
RR⒔X͂⃅⃉₸Y♸RώR῏₦ₗ₪₨⃉͂⏎
RR̓₶₯₦ₗ₪₨⃉͂⒔a
R⒔X₦₯͆
ₗ⃉̯̈́̓R₠
PWM ₗ⃉̯̈́̓ῩCapacitor voltage Clamped and
Soft-Switched Current Source InverterῒXY῏CC-SS-CSI Ra
̰R
RRRRRRR῎CC-SS-CSI
ΊRRR῎
YR
R῏⏫␻R
Y῏RRR[☥aYR
ῑ ]a[R Idc Z
RRRR₷͆₪₥Y♸R
ῑ ₦ₗ₪₨⃉͂
RRR
R
RRY♸₲⃅₽̯̓RZ
R
R῏YaY♸RZ
_
⍟
RRRRR
ϓ῏PWM ₲̯̓⃉R
▨RRRR`RRRRR῎
R`RRRRR῎
4.2 Y♸
Z_▨RZ`
aYRRRR
῏⏎
\
⍟Y♸RYa
RRR῏̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓
ῩHard-Switched Current Source InverterῒXY῏HS-CSI Ra
R
RRR
RRRY♸ ZRRRRR
⍟R♆☪RR╺_
RR῏CC-SS-CSI RY♸]
̰RR
a]ZR^
R
a
R῎
ZR]
Y♸
΋ 4.1 R\a⒔X
ϓ[7]-[10]
ZR]\
R⒔
RRR
Ζ HS-CSI R
R῎]a[₷͆₪₥R₦ₗ₪₨⃉͂R
RR῏\aₗ⃉̓͂̓⃉₦ Ldc R⒔a Idc RX\RRRRRRZ
⃉̯̈́̓₷͆₪₥RRR῏PWM Z
RRR_
⏎
RRRRRRX^⒅RRRR῏␢
aR PWM Z
₦RϑZRR῎RRRRRR῏χ
4.2.1
ₗ⃉
R ✶✴✯✻ RRR
R]RR῏̓₶₯₦ₗ₪₨⃉͂RΦ☪RR⒔a
⃉₮⃉₢⒔XRY
YR
ₗ⃉̯̈́̓RΦ☪RRR῏
RRRRR₦ₗ₪₨⃉͂[
R\XRR̓₶₯₦ₗ₪₨⃉͂⒔a
χ
[
R῎
RRRRR┅
χ
a₠⃉₮⃉₢R╵
Rκ☰RRR῎
RRR῏₦ₗ₪₨⃉͂⏎
⓻YR῏[›
R
R╥X\RRRRRRRRRRRΞ
RR̯͂ͅₗ⃉₯R
⓻₦ₗ₪₨⃉͂R
⓻⎆R
RYΨ΃Ϋ
R_`RR῏╥X\ZY^RRR῏]a₶ₖ͆̓R
⓻⎆RRΝRZ
R\aR̓ₗ₝̯₰RZ[RR
₨⃉͂
_
R\XRRRRR[5][6] ῎RRR⒔a
╥X\ZRY^RRRR῏
̯̈́̓R
⍟
PWM Za
RR_̯͆₸Z
RRR῏Β
῏╵Y
R^ZRR
[4]
aR
]RR
₠⃉₮⃉₢ CL RRRR
R
RR⒔a
RR Idc R⒔a₲͆₦aR_
\⓻Z_R
RR῏╵YRRZ
R
RR῎ₗ
RR῎
a[RZ[
⓻
R⒔aRaR
R῎
RRR[R῏΋ 4.2Ῡa̰R XRR Ζ CC-SS-CSI RY♸
- 67 -
Z῏Ῡb̰RXΖ_Y♸R
΋ 4.1ῒ
Ζ⒔a
ₗ⃉̯̈́̓ῩHS-CSḬ
Ῡa̰Y♸ Z
Ῡb̰XΖ_Y♸
΋ 4.2ῒ̓₶₯₦ₗ₪₨⃉͂╺_
⍟⒔a
- 68 -
ₗ⃉̯̈́̓ῩCC-SS-CSḬ
R῎E R\a⒔
῏Ldc R\a⒔aR
R῎L01 R C0 R
R
R C0῏L0 R
R◄
⒔a is R₝⃉ῑ₝₶RR
⍟Y♸R
ZRR῎Lf R Ldc R΋
RR͂⃅⃉₸Y♸R`
RYRR⒔
RRₗ⃉̓͂̓⃉₦῏CL R_
R
⍟Y♸R
RRR῏̯̓⃉₝₶
ZR῏C0 R
R ZR`R
⒔R
R
RRRR῏C0 RY
⒔
R Ldc RϏ_Rₛ̯̈́͆͂R̓ₗ₝̯₰ Df
RYRRR]
RYZRR῎is R₝⃉ῑ₝₶R̓ₗͅ⃉͂R
RRRRRRR῏PWM Z
₠⃉₮⃉₢RR
₦ₗ₪₨⃉͂⏎
S1ῠS6 R\Z
RYαRRRRR῎CC-SS-CSI R ZCS ̯̓⃉₝₶R
ΧR̓͆⒔a
̓⃉₢͆₦R
⏀
☪RRR
ΧRR῏_ ₦ₗ₪₨⃉͂⏎
Th2 RRR S1 ῠS6 RR῏
Δ
]ZRRR
]ZR
R₢ₗ͆₦̓R
R῏IGBT RRR
⏎
R\a̓ₗ₝̯₰R⏏R RRRRΦ☪YαRRR῎
Th1῏
RΦRRRR
RRₗ⃉̯̈́̓R
ῑ⒔
[R Idc Z
☪₷͆₪₥Y♸R╥☰RRR
ῑ C0 R₵̯͂⒔XR`
ῑ DCL R
₯⃅⃉₦ LdcῑLf RRRX\R_R
YRYαRRR
῏idc R[RRRRR
ῑ HS-CSI R DCL R]R⒉⍝R☪RR
τ⚅R
RRRRR
RR῏[☥aYRYαRRR
RRR]\RRR῎
4.2.2
]
Y♸]
Z`R
ϓ
␢RRRRR῏΋ 4.3 RXΖ_Y♸R CC-SS-CSI RY♸] R`RRRRR῎
RRR῏΋ 4.3 R
΋R
ZR
R
RR₦ₗ₪₨⃉͂⏎
⒔RRRRR῏RR⒔XR[RRR╵Y⒔XR
R῎vO R R΋ 4.3 R R RRX\⒔XR
R
R
RRZRR῏RRRR⓻
R
RRRR₦ₗ₪₨⃉͂⏎
Ξ vO RR
R[RRRR
RRRRRRR῎ ╺R⒔a῏⒔XR῏΋ 4.3
₦ₗ₪₨⃉͂⏎
R῎L01῏C0 RRRRR Ldc῏CL R^RR
₨⃉͂]ZR
R₝⃉RRRRRRRR῏C0 R
_
R̓ₗ₼₨₿̯₯R
RR῏Ldc R Lf R
R΋ 4.4 R
⒢R›RRRRRR῎
Th1῏Th2῏S1῏S2῏S3῏S4 RRR̓ₗ₝̯₰ Df RϓΕ⒅R₦ₗ₪
RRY\RR῎΋ 4.5 RY♸] R₾̯₰ΒX₶̯͆₨₿̯₯R R῎
΋ 4.3ῒXΖ_Y♸
- 69 -
΋ 4.4ῒ
╺R⒔aῑ⒔X⓻
΋ 4.5ῒ›₦ₗ₪₨⃉͂
R aR₦ₗ₪₨⃉͂̓ₗ₼₨₿̯₯
R₾̯₰ΒX₶̯͆₨₿̯₯
- 70 -
ῳ₾̯₰›̱
S1 RRR S4 R₝⃉RRR῎⒔a ♸R΋ 4.6 R
R῎Y♸RaRR⒔aR῏
i dc = i s = i sa
RRR῏⒔
is =
ῑῑῑῩ4.1̰
⒔X E R
1
L dc + L 01
E−v
∫ ( E − v )dt = L + L
O
O
dc
RRR῏i(0)R₾̯₰›
RΧ
╵Y⒔X vO RRRR
R
RRR῎
t + i (0 )
ῑῑῑῩ4.2̰
01
R is RRR῎Th1 RΧ
RRRRRRR
[RX
RR῏Th1
RRR S1 RRR S4 R₝₶RRR R₾̯₰RX RR῎
΋ 4.6ῒ₾̯₰›R⒔aa♸
ῳ₾̯₰※̱
S1 RRR S4 R₝₶RRRRR῏Th1 R₝⃉RRR῎Y♸
C0 ῑL01 RRR
⍟⒔aR is R
RRaR
[R΋ 4.7 R
RRRR῏is R
῞R
R῎
RR῎
⍟⒔a
R is R[RRRⒷRRRRRRR῏ S1῏S4 RaRR⒔aR̓͆RRR῏ S1 ῏S4 R ZCS R
̯̓⃉₝₶RR῎₾̯₰※RY♸_\ R῏
di dc
di
+ L 01 s + v O
dt
dt
di dc 1
E = L dc
+
i dt
dt C 0 1
E = L dc
ῑῑῑῩ4.3̰
∫
ῑῑῑῩ4.4̰
΋ 4.7ῒ₾̯₰※R⒔aa♸
- 71 -
i dc = i s + i1
ῑῑῑῩ4.5̰
RRR῏Ῡ4.3̰ ῠῩ4.5̰ RR i1῏is῏idc R
L dc + L 01
sinω1t
L dc
i s = k2 t + i s (0 ) − k1sinω1t
L
i dc = k2 t + i s (0 ) + 01 k1sinω1t
L dc
i1 = k1
ῑῑῑῩ4.6̰
ῑῑῑῩ4.7̰
ῑῑῑῩ4.8̰

1 L dc + L 01
1  L 01
E − v O ) − v C0 (0 ) + v O  ῏
῏ k1 =
(

C 0 L dc L 01
ω1L 01  L dc + L 01

E − vO
k2 =
῏iS(0)῏vC0(0)ῒRRRR₾̯₰※
R iS῏vC0
L dc + L 01
RRR῏ ω1 =
RRR῎Ῡ4.6̰ RR Th1 R ZCS ̯̓⃉₝⃉RRR῎Ῡ4.7̰ R⋱_[›
R☛]ZRRR⒔a῏[※ R Th1 RΧ
Ldc>>L01 R
RRRaRR
R☪RRR῏Ῡ4.6̰ ῠῩ4.8̰
i1 = {v O − v C0 (0 )}
R
⍟⒔aRRR῎
RRR῎
C0
sinω1’ t
L 01
ῑῑῑῩ4.9̰
C0
E − vO
t + i s (0 ) − {v O − v C0 (0 )}
sinω1’ t
L dc
L 01
E − vO
i dc =
t + i s (0 )
L dc
is =
RRR῏ ω1’ =
R Ldc RRR L01
1
῏iS(0)ῒ₾̯₰※
C 0 L 01
ῑῑῑῩ4.10̰
ῑῑῑῩ4.11̰
R iS῏vC0(0)ῒ₾̯₰※
R vC0
ῳ₾̯₰‼̱
S1 RRR S4 R̯̓⃉₝₶RRR₾̯₰‼RRR῎RR
RY♸ [R΋ 4.8 R
i dc = i1
ῑῑῑῩ4.12̰
RRR῏C0 R
E = L dc
R῎
[RZRRR ZR
⒔RRR῎RR
RY♸_\ R
di dc 1
+
i1dt
dt C 0
∫
ῑῑῑῩ4.13̰
RRR῎RRRYRR῏
 E − v C0 (1) 
E − v C0 (1)
2
sinω 2 t + I dc (1) cos ω 2 t = 
i dc =
 + I dc (1) sin(ω 2 t + φ 2 )
ω 2 L dc
 ω 2 L dc 
ω L I (1)
1
῏ tanφ 2 = 2 dc dc ῏
RRR῏ ω 2 =
E − v C0 (1)
L dcC 0
Idc(1) ῒ₾̯₰‼
R idc῏vC0(1)ῒ₾̯₰‼
R vC0
2
RRR῏Ldc῏C0 RRR
RRR⒔X vLf R
⍟⒔aRaRR῎Ldc῏Lf R`
RR῎
- 72 -
ῑῑῑῩ4.14̰
RRRRRR῏Lf RR
Rλ
v Lf = −
nf
n
v Ldc = − f ( E − v C0 )
n dc
n dc
RRR῏ndc῏nf RRRRR Ldc῏Lf R
ῑῑῑῩ4.15̰
⎆RRR῎C0 R⒔X vC0 RΗYRRRRR῏vLf R
RR῎C0 RRRR ⒔RR῏vLf R E R␚RRR῏Df R̯̓⃉₝⃉RR῎RRRRR C0 R
⒔X vC0 RῩ4.15̰ RR῏
 n 
v C0 = 1 + dc  E
nf 

ῑῑῑῩ4.16̰
RRR῎Ldc῏Lf R♼Rₗ⃉̓͂̓⃉₦RRR
[aRX[RR῏nf R ndc R^R
ΞRRR῎RRΞRY♸R
Ldc῏Lf R♼Rₗ⃉̓͂̓⃉₦R[
‽RX
RR R vC0 R
῏Ῡ4.16̰
RR
RRR῏vC0 R
RλRRR⒔XR vC0 R
[
\RR῏E RR[RRRR῎
῏RRR Ldc’RRRR῏₾̯₰‼RR₾̯₰
[ΞRῩ4.16̰
RR
RR῎
 L + L′dc n dc 
v C0 = E 1 + dc

L dc
nf 

ῑῑῑῩ4.17̰
΋ 4.8ῒ₾̯₰‼RRRR⒔aa♸
ῳ₾̯₰‽̱
Df R₝⃉RRRR῏YZ⒔a if RaR῏Ldc RϏ
ₛ̯̈́͆͂R⒔
RYZRR῎RR
RR῏Df R ZVS ̯̓⃉₝⃉῏Th1 R ZVS ̯̓⃉₝₶RRR῎Ldc ῏Lf R♼Rₗ⃉̓͂̓⃉₦
R[ RR
Y♸
῏Df R ZVS RR ZCS ̯̓⃉₝⃉῏Th1 R ZCS ̯̓⃉₝₶RRR῎RR
[R΋ 4.9 R
R῎
₾̯₰‽RRRRY♸_\
E = Lf
R
di f
dt
ῑῑῑῩ4.18̰
RRR῏ Th1 ₝₶\ R if R if(0)RRRR῏if R
i f = i f (0 ) −
R
E
t
Lf
RλRRR῎
ῑῑῑῩ4.19̰
- 73 -
΋ 4.9ῒ₾̯₰‽RRRR⒔aa♸
ῳ₾̯₰‾̱
₾̯₰‽
⑆R
R ✺✤῏✺✧ R₝⃉RRR῎΋ 4.10 R₾̯₰‾RY♸
῞R
Y♸_\
R῏RRR̓͆RRR῎RRRR῏Df R ZCS R̯̓⃉₝₶RR῎
R
di dc
di
di
− M f + L 01 s + v O
dt
dt
dt
di f
di dc
E = Lf
−M
dt
dt
i dc = i s
E = L dc
RRR῎RRR῏M R LdcῑLf
idc῏is῏if RRRRR
i dc = i s =
R῎L01 R
῞RΗYR῏✺✤῏✺✧ R Z✰✺ R̯̓⃉₝⃉RR῎RRRRR῏
☛]ZRRR῏idc RRR is R
if R
[R
ῑῑῑῩ4.20̰
ῑῑῑῩ4.21̰
ῑῑῑῩ4.22̰
RΖ ₗ⃉̓͂̓⃉₦RRR῎Ῡ4.20̰ ῠῩ4.22̰ RR῏
RλRRR῎
( L f + M )E − L f v O
ῑῑῑῩ4.23̰
t
L f L dc + L f L 01 − M 2
( L + L 01 + M )E − MvO t
i f = i f (1) − dc
L f L dc + L f L 01 − M 2
RRR῏if(1)ῒ₾̯₰‾
R if
ῑῑῑῩ4.24̰
΋ 4.10ῒ₾̯₰‾RRRR⒔aa♸
- 74 -
ῳ₾̯₰‿̱
₾̯₰‾R Df R ZCS ̯̓⃉₝₶RR ῏Y♸RaRR⒔aR₾̯₰›R]Ra♸RRR῎
RRR῏vC0 R
ZR₾̯₰›RR
RRR῎RRRRRR
R̯̓⃉₝₶RRRRRRRRR῎RRRR῏Th2 RΧ
RY♸ [R΋ 4.11 R
R₦ₗ₪₨⃉͂
RR῏vC0 R
R S1 ῏S4
ZR^ΧRR῎RR
R῎
₾̯₰‿RR Th1 R₝₶RRRRR῏RRRR῏₾̯₰‽RRR₾̯₰‾R
RRRRRX
]RRR
RRR῎
΋ 4.11ῒ₾̯₰‿RRRR⒔aa♸
Th2 RΧ
RRR῏C0῏L0 RRR
⍟⒔a i2 RaR῏Th2 R ZCS ̯̓⃉₝⃉RRR῎i2 RR
RR̓͆RRRR῏Th2 R ZCS ̯̓⃉₝₶RRR῏₾̯₰‿R
\
aRR῎RRRRRY♸_
R
0 = L0
di 2 1
+
i 2 dt
dt C 0
∫
ῑῑῑῩ4.25̰
RRR῎RRRYRR῏
i2 =
v C0 (2 )
(n + n d )E sinω t
sinω 3 t = f
3
ω 3L 0
ω 3n f L 0
CC-SS-CSI R
4.2.3
Ῡ›̰
₝⃉
aRZ
R
aRRR
⍟Y♸RZ
῏RR₦ₗ₪₨⃉͂›
a⒔XR_
R^aRRRRR῏
RRₗ⃉̯̈́̓
  n  
R vC0 = 1 + d  E 
  nf  
▨RZ`
▨RZ`
ₗ⃉̯̈́̓R
[΃RR
ῑῑῑῩ4.26̰
1
῏vC0(2)ῒ₾̯₰‿
L 0C 0
RRR῏ ω 3 =
⒔X
RRR῎
ΞRX␼RRR῎
a⒔X›
RR
⓻^
a⒔XR_
R[RR
a⒔XR₲͆₦aRοRZ
RRXaRRR῏3.2.3 R
RRRR
⓻
ΞR
ΞRRRR
₦ₗ₪₨⃉͂⏎
₦ₗ₪₨⃉͂⏎
R_YRR PWM ⓻
▨RRR῎
- 75 -
a⒔XR_
R₝⃉
R
῏RR
RRR῎RRR
⒔a
ₗ⃉̯̈́̓R PWM Z
RRRR
a⒔aR_
R῏\a͆⃉͂⒔aRX\RRRR῏RR₦ₗ₪₨⃉͂›
ΞR
R^aRRRRRR῎RRR῏
R
R_R⒔X
[R῏⒔a
_
aaR_
Ξ῏RRRR₦ₗ₪₨⃉͂⏎
aR⒔XRRRR῏⒔aRRRRRXRRRRR῏
ₗ⃉̯̈́̓R]ϐRRR῎RRR῏⒔X
ₗ⃉̯̈́̓R PWM Z
_
Rλ 4.1 R
RRRRRR
΋ 4.12 R
ₗ⃉̯̈́̓R PWM Z
RXRRRR῏⒔X
RRRRRΦ☪RRRRRRRRR῎RRRR῏⒔a
[11]-[13]
῏Ῡb̰RΈ
_
R
▨Rϐ῞
_ RRRR`RRRRR῎
XRR CC-SS-CSI ☪ PWM ₲̯̓⃉R R῎Ῡa̰R
⓻RRR^⏭⓻R
χ⒅
ₗ⃉̯̈́̓R
ₗ⃉̯̈́̓R PWM Z
῎RRRR XRR CC-SS-CSI ☪ PWM Z
Ζ⒔aR[RRΈ
R₝⃉
aR Ζ
⓻R^⏭⓻R^
a⒔aR
Y῏Ῡc̰R
CC-SS-CSI RΦ☪RR PWM Έ RRR῎
Ῡa̰RRRR῏Έ
̓R
⓻R
Ζ
a⒔aRZ[ΞR^aRRΈ
R῏΋ 3.14 R RRRRR῏ a⒔XR^aRRΈ
RRR῏^⏭⓻ 1
RRRR῏ₕ̯₼
RRRRR῏Z╵a
ZR⒔XR
R
RRRRRRR῎RRR[R῏⒔a
YR₦ₗ₪₨⃉͂⏎
aRR῎^⏭⓻ 1
R_
ΞRX␼RRRRR῏
RΈ ⓻RRRRRR[R῎
YR₦ₗ₪₨⃉͂⏎
Ῡb̰RῩa̰R
aR῏RRRRR⒔X
R₝⃉ῑ₝₶RR
ZR
ₗ⃉̯̈́̓RR῏^⏭⓻ 1
RRRR
a⒔XR_
_R
a⒔aRZ[ΞR^aRRΈ
RΈ
RRRRR⓻R⍟ο m RΈ
⓻R^
RRR῎⒔a
R
R⎆R
RR※RRRRRR[R῏Ῡb̰R₲̯̓⃉R
[※RRRRRR‼RR₦ₗ₪₨⃉͂⏎
Ζₕ̯₼R
RX_R
RϏRRRRRR
₲̯̓⃉RRR῏
a⒔aRZ
R
RR῎RRR῏̯̓⃉
RRRR῏^⏭⓻ 1
RΧ
RRRR
ₗ⃉̯̈́̓R⒔a
RRR₦ₗ₪₨⃉͂⏎
☪
῏S1῏S2 RRRR
RR₲̯̓⃉R
RRR῏S1 ῏S2 RRRR
XRRR῎RRRR῏CC-SS-CSI RRῩc̰R PWM
XRR῎Ῡc̰R PWM ₲̯̓⃉R
ₗ⃉̯̈́̓R₦ₗ₪₨⃉͂
⒔X
]
R
[ 1 R῏Y
R ZRR῎
λ 4.1ῒ⒔X
\R
RR₲̯̓⃉RRR῎RRRRRRR
RΧ
RX_R₝₶RRRRRR῏ a⚇RR
Ζ
YRRRR 1 RRR῏
RRR῏aRR῏΋ 4.2Ῡa̰R S1 R S2 R]
̈́ₗₕ₦RRR῎RRR῏₝⃉Έ
RRRRRRR῎
[※R῏Y[ 1 R῏RRRR
RΧ
a⒔X
RRRRR῏※
YRRR῎^⏭⓻R
ₗ⃉̯̈́̓RR῏λ 4.1 R
RRR₦ₗ₪₨⃉͂⏎
R
⓻RRR῎^⏭⓻R
R̯̓⃉₝⃉ῑ̯̓⃉₝₶R̓ₗͅ⃉͂R] R
₝⃉R̓ₗͅ⃉͂R]
RΧ
a⒔XR
RRRR῏ₕ̯₼
ΞRRRR[΃RR
RRRR⓻RΦ☪RRRRR῏̯̓⃉₝₶R̓ₗͅ⃉͂R]
R]
R
\RRRRR⓻R⍟οR›RRR῎CC-SS-CSI RR῏4.2.2 R
RR₦ₗ₪₨⃉͂⏎
ₗ⃉̯̈́
RRR῏RRRRX_R₝⃉RRRRRRR῏Z╵RRRRX_R⒔
aR
ΖR[R῏
RRR῎⒔X
R⎆
̓͆₺͂₯͆R
ₗ⃉̯̈́̓
⒔a
ₗ⃉̯̈́̓
‼
※
ₕ̯₼Νϒ
Y_
aΝϒ
- 76 -
[R^
ₕ̯₼Νϒ
R
΋ 4.12ῒ⒔X
ῑ
a⒔aΞR
ῩXY῏RRR
ₗ⃉̯̈́̓R CC-SS-CSI R PWM ₲̯̓⃉R^
[RΖῩXY῏RRR
ΖR
[ΖR
R̰R PWM ₲̯̓⃉R
R̰R PWM ₲̯̓⃉R^⏭⓻ 1
RΖ
RRR
R⎽[R
RΞRΖῩXY῏⑆
Ζ̰RY[
R̰Ῡb̰RRRῩc̰RRRR ⍖R₲̯̓⃉̰
῎
ῑ
[ΖR PWM ₲̯̓⃉R⎽[RRR
₦ₗ₪₨⃉͂⏎
RΧ
RR῎
⏎
RΧ
RR῎RRR῏⑆
⏎
R
RΧ
῏⑆
Ζ₲̯̓⃉R[RRR⑆
ΖR῏^⏭⓻ 1
ΖR
RRRₕ̯₼
[₦ₗ₪₨⃉͂
YR₦ₗ₪₨⃉͂
RR̰Ῡb̰RRRῩc̰RRRR̈́₪₨⃉͂RRR₲̯̓⃉̰
῎
- 77 -
RRRRR῏^⏭⓻ 1
₪₨⃉͂⏎
R Ζₕ̯₼R
YRRRR 1 RRR῏
R[R῏₝⃉RRR₝₶Ra_R̓ₗͅ⃉͂R]
RR῎RRR 4.2.2 R
RRR※RR₦ₗ
RRR PWM ₲̯̓⃉R
R\RRR␾⌘RRRRRR S1ῠS6 RZ
RR₾̯₰※R
Έ
RRRRR῎
CC-SS-CSI RR῏ S1ῠS6 R ZCS ̯̓⃉₝₶R
R
_RRRRRRRRR῎RRRR῏
a⒔aR
RRRR_⎆ mL R῏ZCS ̯̓⃉₝₶R
RRRRR
R
R
[₲͆₦οRZ
RRRRRΈ
RZRR῎΋ 4.12(b)
⓻R
RRRR DC ͆ₕ͂₯͆R
RR
a⒔aῑ⒔XR⚇RR
CC-SS-CSI R
῏Ῡ4.2̰
RR_]RR῎RR[
RRR
῏\a͆⃉͂⒔aR`]R
RRRRR῏CC-SS-CSI
RRRRRRR῎RR
XRRR῎
R
RRRRR῏\a͆⃉͂⒔a῏RRRR is R
⒔X vo RRR i(0)RX[RR῎i(0)R₾̯₰‽R
RRR῏XYR※\RR_▨R XRR῎
\a͆⃉͂⒔aR`]RϑZRRRR₦ₗ₪₨⃉͂
Ῡb̰
\a͆⃉͂⒔aR_]R aRR₦ₗ₪₨⃉͂₲̯̓⃉R_Z
Ῡa̰R_▨R₾̯₰‽R
῏΋ 4.12 R₲̯̓⃉RRRRR
aR_
ΞR
RRR
☪RRR῏₦ₗ₪₨⃉͂ 1
a⒔aRX␼RRRRR῎RRRR῏₦ₗ₪₨⃉͂
Ξ_ZRκ☰RRR῎Ῡb̰R_▨R῏is R
RRR῎RRRR῏is R
RRRR_▨RRΈ
Ῡ※̰
⓻R
a⒔
⓻⎆R_]R[RRΈ
R῏is R[R
ΞR[RR῏is R[R
⓻⎆RX\RRR῎
⓻R_ZRκ☰RRRR῏CC-SS-CSI R_ZRκ☰R
RR῏R
RRRῩb̰R_▨R_ZRRRRRRR῎
⍟Y♸RZ
⍟Y♸RZ
RR῏΋ 4.2(a)R Th1 RRR Th2 RZ
RRR῎Th1 R΋ 4.12 R῏S1ῠS6 R
⏁R₝₶RRRRRa₺͂₯͆
῏Y♸]
RRR῎Th2 R Th1 R̯̓⃉₝₶
RRRRa₺͂₯͆
RRR῎Y♸]
₾̯₰RR῏₾̯₰※RRR₾̯₰‼R₝⃉
῏Ῡ4.16̰
Έ
RR῏

1
-1 
t1 =
sin 
ω2
 nf

RR₝⃉R
Έ
R̓ₗ₼
R῎
Th1 R̯̓⃉₝⃉R̓ₗͅ⃉͂R῏΋ 4.12Ῡb̰R
aZ
RRRRRRR
RRRR῏₾̯₰‿RRR῎^⏭⓻R Th1 RRR Th2 RZ
₨₿̯₯R΋ 4.13 R
RRR῏
R[RR
RRRR₲͆₦οR
RRRRΈ
RRRR῎RR_▨RR₦ₗ₪₨⃉͂
R☥XR
⓻⎆R\Z
R\RR\ZRRRRR\a͆⃉͂⒔aR`]RϑZRR῎
RR
RRR₲͆₦οR
╵Y
R\R῏vo R₦ₗ₪₨⃉͂₲̯̓⃉RR
Ῡa̰
⓻R
[⍟οRRR῎
RR῎
RRRRR῏\a͆⃉͂⒔aRX\RRRRRY\R
`]R
RRRR῏₠⃉₮⃉₢ ⒔
R̯̓⃉₝₶R]
R
RRRR῏^⏭⓻RaR
RRRRRR
RR῎₝⃉
RRR]
t1 R῏Ῡ4.14̰
\RRR῎

 E − v (1) 

(n f + n dc )E
− tan -1  2 C0


2
2
 ω 2 L dc I dc (1) 


ω
L
I
+
E
−
v
1
1
(
)
(
)
{
}
{
}
dc
dc
C0
2
[
]
- 78 -
ῑῑῑῩ4.27̰
΋ 4.13ῒCC-SS-CSI R
῏ R\RRR῎RRRR t1 R῏
t1 R῏Idc(1)R̓͆R
t1 =
⍟Y♸RRRR₦ₗ₪₨⃉͂̓ₗ₼₨₿̯₯
RλRRR῎

 n dc  
E
1
cos −1 −
1 +

ω2
nf  
 E − v C0 (1) 
RRR῏₾̯₰※R
L01 R[
ῑῑῑῩ4.28̰
R RRΝRRR῏RR
RR vC0 RX\RRRRY\R῏Th2῏
R` RRR῏
 n 
v C0 (1) = − 1 + dc  E
nf 

ῑῑῑῩ4.29̰
RRRRR῏Ῡ4.28̰
t1 =
R
RRR῎
 n + n dc 
1
cos −1  − f

ω2
 2n f + n dc 
ῑῑῑῩ4.30̰
Th2 R῏ Th1 R̯̓⃉₝₶
t2 R C0῏L0 R
t2 =
⍟
R₮₪₰̓ₗ₼RZR῏RR
R^_R῏
R
̯̓⃉₝⃉RRR῎Th2 R₝⃉
RRRR῎
π
= π L 0C 0
ω2
4.2.4
⏎
\
ῑῑῑῩ4.31̰
R
RRY♸₲⃅₽̯̓RZ
a
Ῡ›̰Z
CC-SS-CSI R
⏎
ΞRZ
RRRRRR῏λ 4.2 RZ
RR῎
- 79 -
R
RRR
RRRRR
λ 4.2ῒZ
⒔
DC 200V
a
Ζ 200V
a☥a
^⏭⓻
1kW
⓻⎆
10kHz
₦ₗ₪₨⃉͂⏎
R [⒔a
50A
₦ₗ₪₨⃉͂⏎
R [⒔X
750V
₦ₗ₪₨⃉͂⏎
Ῡ※̰Th1 RXYRRR
₾̯₰›RRRR῏
R̯̓⃉₝₶
Ῡ₮₪₰̓ₗ₼̰
[⒔XRRR Ld῏Lf R
╵Y⒔XR
2µsec
⎆ nd῏nf R
[RRR῏Th1 R
[⒔X vmax RXYRRR῎RR
Rλ 4.2 R [⒔XΞXYRRRRR῏₾̯₰‿RRRR L0 RRR Th2 R[
R`
RRR῏
Ῡ4.16̰ ῏λ 4.2 RR Ldc῏Lf R ⎆ ndc῏nf R
 n dc 
L dc
+ E ≤ 750
1 +
 E + ( E − vO )
nf 
L dc + L 01

R
[ V]
ῑῑῑῩ4.32̰
RωRRRRR῎RRRZϓRRR῏
n dc
≤ 1.75 +
nf
(
) L L+ L
2 −1
ῑῑῑῩ4.33̰
dc
dc
01
RRR῎Ldc>>L01 RRRR῏Ῡ4.33̰
R
RRR῎
n dc
≤ 2.16
nf
ῑῑῑῩ4.34̰
Ῡ‼̰Th2 R
[⒔aRRR C0῏L0 R
i2 R₾̯₰‿R [Ξ i2max RRRRRῩ4.26̰
i 2max =
C 0  n dc 
1 +
 E ≤ 50
L0 
nf 
Ῡ4.33̰ RῩ4.35̰
RR
[ A]
RωRRRRR῎
ῑῑῑῩ4.35̰
R[]RRZϓRRR῏
50 2 ( L dc + L 01 )
C0
≤
L 0 200 2 1.75 + 2 L + 2.75 L
dc
01
2
{(
)
}
ῑῑῑῩ4.36̰
2
RRR῎Ldc>>L01 RRRR῏Ῡ4.36̰ R
RRR῎
C0
≤ 6.24 × 10 −3
L0
ῑῑῑῩ4.37̰
- 80 -
Ῡ‽̰Th1 R
[⒔aRRR C0῏Ldc R
i1 R₾̯₰ 3 R [RRR῏₾̯₰ 2 R
4.2῏Ῡ4.14̰
RR
Ῡ4.33̰
C0 
n dc  2
2
2 +
 E + I s (0 ) ≤ 50
L dc 
nf 
RῩ4.38̰
{
{(
[ A]
ῑῑῑῩ4.38̰
R[]RRZϓRRR῏
}
50 2 − i s (0 ) ( L dc + L 01 )
C0
≤
L dc 200 2 2.75 + 2 L + 3.75 L
dc
01
2
2
}
)
RRR῏Ldc>>L01 RRRR῏Ῡ4.39̰
ῑῑῑῩ4.39̰
2
R
RRR῎
C0
2
≤ 3.60 × 10 −3 − 1.44 × 10 -6 i s (0 )
L dc
ῑῑῑῩ4.40̰
΋ 4.13 R RRRR῏^⏭⓻ 1
₶RRRR C0 R
[Ξ i1max Rλ
RωRRRRR῎
2
i1 max =
R ΝRΝRRRRR῏RR
⒔RRR
⒔R
R Th1῏Th2 R
R῎Ῡ4.30̰
R 1 YRRΧ
῏Ῡ4.31̰
R῏ZCS ̯̓⃉₝
RR῏^⏭⓻R 1
R
T῏Th1 RRR Th2 R₮₪₰̓ₗ₼R td RRRR῏
 n + n dc 
T ≥ t1 + t2 + 2 td = L dcC 0 cos −1  − f
 + π L 0C 0 + 2 t d
 2n f + n dc 
ῑῑῑῩ4.41̰
RωRRRRR῎λ 4.2 RR῏
T = 100 [ µsec]
td = 2 [ µsec]
ῑῑῑῩ4.42̰
ῑῑῑῩ4.43̰
RRR῎t1 R῏is(0)R̓͆R
R\RRRRR῏Ῡ4.41̰ RῩ4.34̰ ῏Ῡ4.37̰ ῏Ῡ4.40̰
R[]RRZϓRRR
C 0 ≤ 1.20
[ µF]
ῑῑῑῩ4.44̰
R]RRR῎RRRῩ4.33̰ ῏Ῡ4.37̰
῏Ῡ4.40̰
L 0 ≥ 192 [ µH ]
L dc ≥ 332 [ µH ]
ῑῑῑῩ4.45̰
ῑῑῑῩ4.46̰
2
n 
L f =  f  L dc ≥ 71.2
 n dc 
RRR῎RRR῏^⏭⓻
[ µH]
ῑῑῑῩ4.47̰
⓻⎆R 10kHz῏Ldc῏Lf R
C 0 ≤ 1.82 [ µF]
L 0 ≥ 117 [ µH ]
L dc = L f ≥ 262 [ µH ]
R]RR῏^⏭⓻
R[]RRR῏
⎆^R›ῒ›RRRR῏
ῑῑῑῩ4.48̰
ῑῑῑῩ4.49̰
ῑῑῑῩ4.50̰
⓻⎆R 20kHz RRRR῏
- 81 -
C 0 ≤ 0.573 [ µF]
L 0 ≥ 91.8 [ µH ]
L dc ≥ 159 [ µH ]
ῑῑῑῩ4.51̰
ῑῑῑῩ4.52̰
ῑῑῑῩ4.53̰
2
n 
L f =  f  L dc ≥ 34.1
 n dc 
[ µH]
ῑῑῑῩ4.54̰
R]RRR῎
Ῡ‾̰ZCS ̯̓⃉₝₶RRR⒔a is R
S1ῠS6 R Z✰✺ ̯̓⃉₝₶
R
[Ξ
╵Y⒔X vO RX[RR῎Ῡ4.10̰
R
⍟⒔a ires R
Ldc R L01 R☛]ZRRR⒔a iL R_aRRR῏
i res = {v O − v C0 (0 )}
E − vO
t + i s (0 )
L dc
iL =
C0
sinω1’ t
L 01
ῑῑῑῩ4.55̰
ῑῑῑῩ4.56̰
RRR῎RRR῏₾̯₰※R^
R
R
RΝR῏iL RX\RRRRY\RRR῏ZCS ̯̓⃉₝₶R
RRR῎
{vO − vC0 (0)}
C0
≥ i s (0 )
L 01
ῑῑῑῩ4.57̰
ZCS ̯̓⃉₝₶RRR is(0)R R
Ῡ4.57̰
R╵Y⒔XR
ZϓRRR῏
L 01 ≤ 58.5
RRRRRR vO R╵R῏RR[RRR [R
RRRῩ4.34̰
῏λ 4.2 R⒔a
[ΞR[]RR
R]RRR῎
[ µH]
ῑῑῑῩ4.58̰
RRRRR῏ iL RX\RRRRRR
]R
῏Ῡ4.44̰
R῎Ῡ4.7̰ R
YRZ
R
RRR῏RRRRR
RRRR
⍟⒔a ires R Ldc R L01 R☛]ZRRR⒔a iL R_aRRR῏
i res = k1sinω1t
i L = k2 t + i s ( 0 )
ῑῑῑῩ4.59̰
ῑῑῑῩ4.60̰
RRR῎Ῡ4.59̰
῏Ῡ4.60̰
RRRR k1 ῏k2 RῩ4.6̰
RRR῏vO RRRR_]RR῎΋ 4.14 RῩ4.34̰
RR
ῠῩ4.8̰
῏Ῡ4.44̰
R☪RRRRR]R
ῠῩ4.46̰
RRRλ 4.2
RR vO R[RR k1῏k2 R_]]ZR R῎
΋ 4.15 R῏RR vO RRRRῩ4.59̰
̯₰※
R is R₲⃅₽̯̓RR῏
῏Ῡ4.60̰
RR
R
RRR ires῏iL R⓻
R]R⓻
RR῎ires RR
ΧR
aRR
R῎₾
_YR⏁RⒷRR῏ires
RRR῎iL1ῠiL3 RRR῏ZCS ̯̓⃉₝₶R␚ZRRRRR ires RR
R iL1῏iL2 R῏̯̓⃉₝₶
aR
R is1(0)῏is2(0)῏is3(0)῏RRRR[΃RR iL
RRRRR iL1῏iL2῏iL3 RRR῎vO R]RRRR῏iL1῏iL2῏iL3 R
RR
RRR῎
R̯̓⃉₝₶RRRRR
ΧR[
R
RRRRR toff1῏toff2 R
RRR iL3 R ZCS ̯̓⃉₝₶R╥YαRRR῎ZCS ̯̓⃉₝₶R
R῏΋ 4.15 R R iL2 RRRR῏
- 82 -
R̯̓⃉₝₶RR
toff RRRRῩ4.59̰
╵Y⒔X̱k1῏k2 ]Z
΋ 4.14ῒ
΋ 4.15ῒ ires R iL R⓻ a
R ires R[RRZZR RRῩ4.60̰
R[RRZZR RR῏
di res
dt
R k2 RX␼RR
R]RRR῎
toff RRRR ires
RϏRRRR῎
= ω1k1 cos ω1toff
ῑῑῑῩ4.61̰
t = t off
RRR k2 RⒷRR
῏
{
toff RRRR ires R[RRZZ i(t)R
i ( t ) = k1 ω1 cos ω1toff ( t − toff ) + sinω1toff
RRR῏
}
ῑῑῑῩ4.62̰
R]RRR῎RRRR῏is(0)R
i s (0 ) = k1 (sinω1toff − ω1toff cos ω1toff ) = k1
RRR῏ tanθ = -ω1toff
{ 1+ ω t
2
1
[ΞR
2
off
- 83 -
R RRRR῎
}
sin(ω1toff + θ)
ῑῑῑῩ4.63̰
toff RῩ4.61̰
toff =
R k2 RⒷRRRR
R
 k  1
 1
1
sin −1 
cos −1  2  =
ω1
 ω1k1  ω1
 ω1k1
RRRR῎

(ω1k1 )2 − k2 2 
ῑῑῑῩ4.64̰

RRRῩ4.34̰
῏Ῡ4.44̰ῠῩ4.47̰
῏Ῡ4.62̰
῏Ῡ4.64̰R
RR Z✰✺ ̯̓⃉₝₶
R is(0)R
R
RYZ⒅R
⓻
R
╵Y⒔XR is(0)R
R῎m R
RRR ZCS ̯̓⃉₝₶]
RRRRR῏CC-SS-CSI R
⍟₠⃉₮⃉₢ C0 R
R⍟ο m R
RRR῎
⒔R
aR PWM Z
RRRR῏RRRRa₺͂₯
R῎RRRRR῏C0 R
⒔
RZ\RRκ☰RRR῎RRR΋ 4.12Ῡb̰R
RRRRR῏ZCS ̯̓⃉₝₶R
⓻
⓻
[⍟ο mL RR
RZRRRRRRR῎
R vO RRRR_]RR῎₾̯₰‼R⒜⑆
R S1ῠS6 R₝⃉RRR vO RRRRR ZCS ̯̓⃉₝₶RYαR
R ZCS ̯̓⃉₝₶R
_RRR῏Έ
RΈ
RZ\RRRRR῏RRRR῏ a⒔aR₲͆₦οR
΋ 4.16 R
aX
[⍟ο mL R
4.2.3Ῡ※̰R
͆
RRR῏vO R[RR is(0) R
RR῎RRR΋ 4.16 R R῎Z✰✺ ̯̓⃉₝₶RYα
RRRRRR vO R╵R῏RR[RRR [R
΋ 4.16ῒ
Ῡ‿̰Έ
R
RRRRR῏₾̯₰‽RX
RR
RRRR῏RRRR῏
῏ S1 ῠS6 R₝⃉RRRRR
RRR῎
₾̯₰‼R
⓻
⒅\RRῩ4.30̰
[⍟ο mL R
mL =
R
RRR῎RR
RλRRR῎
 n + n dc 
T − t1
1
cos −1  − f
= 1−

ω 2T
T
 2n f + n dc 
Ῡ4.34̰
R S1 ῠS6 R₝⃉RRRRRR῏Έ
῏Ῡ4.44̰
῏Ῡ4.46̰
ῑῑῑῩ4.65̰
RRRλ 4.2 R
R[]RRRῩ4.65̰
R
R
RR῎
m L ≤ 0.686
ῑῑῑῩ4.66̰
- 84 -
̯̈́₰₦ₗ₪₨⃉͂ₗ⃉̯̈́̓RR
4.3
χZRR῏
₲̯̓⃉_Z
RRR῏\XRR SS-CC-CSI R HS-CSI R
YR
R
Y♸
4.3.1
RRRRR␻R R῏
₤₦₭₼῏Ῡb̰R
R῏RRRR
Δ
₦ₗ₪₨⃉͂⏎
Y♸
⓻Ῡ
Ζ̰R DSP
ZRR῎^⏭⓻RRRRRRR⓻R_⒜
ZRR͂ₙ
⓻R^
Y♸RRZ΂RR῎╵YR\
Ζ 200V RR☛]⒔X\Z
6RI50E-80Ῡ\
R
⒔X 800V῏\
☪R῏Ῡb̰R
※RR 1 RR₾₥⃁̯͆RRR῎Y♸\⎆Rλ 4.3῏
R῎PWM Έ
RRRRΈ
RRRRR PWM Έ
₰⃅ₗ̈́R₶ₜ₯͂₸⃅][₟̯₯₰⃅ₗ̈́ ICῩM57957L῏
R῏
ZR R῎ Ῡa̰RR
RRR῎IGBT R 2 in 1 ₾₥⃁̯͆R
Rλ 4.4 R
⃉̓Y♸RRRR^ZRR῏Έ
R
_a̓ₗ₝̯₰╦R IGBT R\aR̓ₗ₝̯₰RZ[
]ZR
ῩTMS320C31῏40MHz̰R☪RR
RZ
aR^ ῏✷✾M
Z
RRRΧZRXRR₦ₗ₪₨⃉͂⏎
☪RR
RRR
R῎
΋ 4.17Ῡa̰R CC-SS-CSI R
RR₦ₗ₪₨⃉͂⏎
a⓻
a]ZR^
R Y
ZR῏\
RYRR╪
Z
₤₦₭₼ Z
- 85 -
Z̰R☪RR
Y♸
Ζ̓ₗ₝̯₰₷͆₪₥Za
₠⃉₮⃉₢ Cdc RRRZaRRRR
RR῎
Ῡa̰
╌⒔
RR῎₟̯₯
ΞRY_RRRRRRRR῎\a⒔
⒔
⒔a 50A̰RRR_
R^ZR
Ῡb̰
R Y♸ Z
΋ 4.17ῒ CC-SS-CSI R
₤₦₭₼
Z
λ 4.3ῒY♸\⎆
\
\a⒔X E
^⏭⓻
CC-SS-CSI
HS-CSI
200 [V] Ldc῏LῩn
f
dcῒnf̰450 [µH]Ῡ1ῒ1̰
Ldc
₦₱̈́\
7.8 [mH]
⓻⎆ 10 [kHz]
L0
92.1 [µH]
Cdc
4000[µF]
L01
11.9[µH]
₦₱̈́₠⃉₮⃉₢
CLῩXΖ_̰
50[µF]
C0
0.5 [µF]
₦₱̈́̓ₗ₝̯₰ RM35HG34S
10[Ω]
0.022[µF]
λ‽ῐ‽ῒ ☪RR₦ₗ₪₨⃉͂⏎
CC-SS-CSI
S1ῠS6
Th1, Th2
IGBT
CM75DY-24Ῡ
╌⒔
\a̓ₗ₝̯₰ RM50CA12-SῩ
IGBT
\a̓ₗ₝̯₰
Df
╌⒔
2MBI100-120Ῡ╪
⒔X 1200[V]῏\ ⒔a 75[A]
Z̰ \ ⒔X 600[V]῏\ ⒔a 50[A]
⒔ Z̰ \
╌⒔
RM50CA12-SῩ
Z̰ \
⒔X 1200[V]῏
\
⒔a 100[A]
Z̰ \ ⒔X 600[V]῏\ ⒔a 50[A]
HS-CSI
Sin1ῠSin4
S1ῠS6
IGBT
\a̓ₗ₝̯₰
IGBT
2MBI100-120Ῡ╪
CM75DY-24Ῡ
\a̓ₗ₝̯₰ RM50CA12-SῩ
⒔ Z̰ \
╌⒔
╌⒔
- 86 -
Z̰ \
⒔X 1200[V]῏
\
⒔a 100[A]
⒔X 1200[V]῏\ ⒔a 75[A]
Z̰ \ ⒔X 600[V]῏\ ⒔a 50[A]
΋ 4.18 R῏^ [
RRRR HS-CSI R
₤₦₭₼ ZR R῎₦₱̈́R RCD ̓ₗ₸
R῎HS-CSI RR῏\a͆⃉͂⒔a idc RX\RZ
RRR῎₦₱̈́\⎆Rλ 4.3 R
☰RRRRR῏Sin1ῠSin4 R╦YRR῎idc R⒔a̓⃉₢RRR
RR῎^
⃉͂
Έ
aRR῏idc*R[R῏̱2A RRR῎idc R idc*R^
R S1 ῠS6 R]R
R]aR῏idc X\Z
RRRR]RRR PWM
ZR₟̯₯₰⃅ₗ₷Y♸RYRR]a[₦ₗ₪₨⃉͂⏎
R
₦ₗ₪₨⃉͂]ZR
΋ 4.19 R CC-SS-CSI R ⏎
₤₦₭₼ Z
a]Z
⒔Xῑ⒔a⓻
RR῏Ldc R⒔X vLdc῏
R R῎Ῡa̰R῏
Lf R⒔X vLf῏C0 R⒔X vC0῏Ldc R⒔a idc῏Lf R⒔a if῏L01 R⒔a is῏Ῡb̰R
R⒔a i1῏Th2 R⒔a i2 RRR῎LdcῑLf
RλRRR⒔XRR 90V \⒢
΋ 4.20 R
R
Sin1 ῠSin4
RR῎
΋ 4.18ῒHS-CSI R
RRY♸]
aΞ idc*R^
☪RR῎₳₦₭͆₤₦οR Sin1ῠSin4 R₦ₗ₪₨
R₳₦₭͆₤₦₠⃉₲̯͆̓R
⓻⎆R
4.3.2
R῏idc R
RRκ
R♼Rₗ⃉̓͂̓⃉₦R⌅
RRRRR῏RRRR⓻
RR vC0῏Th1
RRR῏vC0 RῩ4.16̰
RR῏4.2.2 R
RR
ϓ\
RRRRRRR_RR῎
₦ₗ₪₨⃉͂⏎
R⒔aRRR⒔XR⓻
῏΋ 4.21 R⒔aῑ⒔XR
ZR
R῎Ῡa̰R S1῏Ῡb̰R Th1῏Ῡc̰ R Th2῏Ῡd̰R Df RRR῎⏁RR₦ₗ₪₨⃉͂⏎
₝⃉ῑ₝₶
R̓₶₯₦ₗ₪₨⃉͂] R
΋ 4.22 R CC-SS-CSI R
aZ
R
R
a
⓻⎆ 60[Hz]῏Z
ⓦRRR῎
⒔XRRR a Ζ⒔aR⓻
RR idc R`]R[RR PWM _ZRRR
a m R 0.6 RRR῎
- 87 -
R
R R῎Ῡa̰R 4.2.3Ῡ1̰R
῏Ῡb̰R_ZR
RR
RRR῎RRR
Ῡa̰Ld῏Lf R⒔Xῑ⒔aRRR vC0῏is
- 88 -
Ῡb̰vC0῏i1῏i2
΋ 4.19ῒCC-SS-CSI R
⏎
⒔X῏⒔a⓻
Ῡa̰S1 R⒔Xῑ⒔a⓻
- 89 -
Ῡb̰Th1 R⒔Xῑ⒔a⓻
Ῡc̰Th2 R⒔Xῑ⒔a⓻
- 90 -
Ῡd̰Df R⒔Xῑ⒔a⓻
΋ 4.20ῒCC-SS-CSI R
⏎
Ῡa̰S1
- 91 -
⒔X῏⒔a⓻
Ῡb̰Th1
Ῡc̰Th2
- 92 -
Ῡd̰Df
΋ 4.21ῒCC-SS-CSI R
Ῡa̰Έ
₦ₗ₪₨⃉͂⏎
⓻_Z`R
RRRR⒔Xῑ⒔a Z
Ῡb̰Έ
΋ 4.22ῒCC-SS-CSI R
- 93 -
a⒔Xῑ⒔a⓻
⓻_ZRR
_ZR
RRR
῏isa R₵̯͂ΞR`]R
RRRR῏RR
Ζ⒔aR⚇RRZRRRR῎isa R₵̯͂ΞRῩ4.2̰
R
XRR῎Ῡ4.2̰
RRΗYRRRRR
R῏isa R
R╦
╵Y⒔XR⒔
RΦ☪RR῎RRR
R₲͆₦οR
⒔XRRR
⒔XR[
RR is R
RRRRR
ΞRRRRRR῎RR`]R XRR
aZ
╵Y⒔XR⒔
⒔XRR[RR
R isa R⓻
RRRR῏Ῡb̰R
XRR῏is RΗYRR
Ῡ›̰R
R_
R
RR
Y῏
Z
῏
R
⒔XR₵̯͂RR
a⓻ ⚇RRϑZRRRR῏4.2.3
R῏
RR
R₲͆₦οR
RRRR῏PWM ₲̯̓⃉ ZRRRR ΖΈ
RR
⓻ isa*῏isb*῏
R_ZRR῎
isc*RXYR
i sa′ =
200 2
*
i sa
max ( v ab , v bc , v ca )
ῑῑῑῩ4.67̰
i sb
′ =
200 2
*
i sb
max ( v ab , v bc , v ca )
ῑῑῑῩ4.68̰
i sc′ =
200 2
*
i sc
max ( v ab , v bc , v ca )
ῑῑῑῩ4.69̰
RR
▨RRR_ZR
*
*
*
RRῩb̰RR῏
R῎΋ 4.23 R΋ 4.22 R
RR⓻
R
YRR῎_ZRRR῏isa R‾
RZ
a⒔XRRR⒔a⓻
⓻⎆YZR^
RRR⁀
YR
\⓻R
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C0
0.5 [µF]
CLῩXΖ_̰ 50[µF]
λ 4.6ῒYa
S1ῠS6
Th1ῠTh4
IGBT
CC-SS-CSI R ☪RR₦ₗ₪₨⃉͂⏎
CM75DY-24Ῡ ╌⒔
\a̓ₗ₝̯₰ RM50CA12-SῩ ╌⒔
IGBT
2MBI100-120Ῡ╪
RM50CA12-SῩ
⒔X 1200[V]῏\ ⒔a 75[A]
Z̰ \
⒔X 600[V]῏\ ⒔a 50[A]
⒔ Z̰ \
\a̓ₗ₝̯₰ 40EPF10Ῡ3 _a῏IR
Df
Z̰ \
Z̰ \
╌⒔ Z̰ \
- 105 -
⒔X 1200[V]῏
\
⒔a 100[A]
⒔X 1000[V]῏\ ⒔a 40[A]
⒔X 600[V]῏\
⒔a 50[A]
Ῡa̰Ldc῏Lf R⒔Xῑ⒔aRRR vC0῏is
Ῡb̰vC0῏i1῏i2῏idc
΋ 4.39ῒYa
CC-SS-CSI R
- 106 -
⏎
⒔X῏⒔a⓻
R i1 R^⏭⓻›
RRRaRRRR῏RRRRR]X
CC-SS-CSI RR῏RR⒔aR^⏭⓻›
ZR C0 R ⒔RRRRR
R
R CC-SS-CSI R⓻
⒔RRRRR῏Ya
R Th1 ῏Th2 RaRRRRRR῏a
RRR
RR῎RR[RYa
ZR C0 R
CC-SS-CSI R
⏎
R⓻
R΋ 4.19
RRR]ϐRRR῎
΋ 4.40 R ₦ₗ₪₨⃉͂⏎
R⒔aRRR⒔X⓻
῏΋ 4.41 R₦ₗ₪₨⃉͂ ZR
Ῡa̰S1 R⒔Xῑ⒔a⓻
Ῡb̰Th1 R⒔Xῑ⒔a⓻
- 107 -
R῎
Ῡc̰Th2 R⒔Xῑ⒔a⓻
Ῡd̰Df R⒔Xῑ⒔a⓻
΋ 4.40ῒYa
CC-SS-CSI R ⏎
- 108 -
⒔X῏⒔a⓻
Ῡa̰S1
Ῡb̰Th1
- 109 -
Ῡc̰Th2
Ῡd̰Df
΋ 4.41ῒYa
CC-SS-CSI R
- 110 -
⏎
R⒔Xῑ⒔a Z
Ῡa̰R S1῏Ῡb̰R Th1῏Ῡc̰R Th2῏Ῡd̰R Df RRR῎΋R
CSI RRRRR῏CC-SS-CSI R]ϐR῏⏁RR₦ₗ₪₨⃉͂⏎
ₗ₪₨⃉͂]
R
΋ 4.42 RYa
Z
RRRR῏Ya
R₝⃉ῑ₝₶
R̓₶₯₦
R ⓦRRR῎
CC-SS-CSI R
aZ
⒔XRRRΖ⒔a⓻
R R῎ a
a m R 0.6 RRR῎PWM ₲̯̓⃉ ZRRRRΈ RRῩ4.67̰
R_ZR
CC-SS-
RRRR῏Ya
CC-SS-CSI RRRRR΋ 4.22Ῡb̰R
⓻⎆ 60[Hz]῏
ῠῩ4.69̰
R⓻
R
R
R]ϐR⓻
R
]RRRRR῎
΋ 4.43 RZ
╵Y\
i1῏i2 R
aR[RRYa
CC-SS-CSI R⒔a῏
⒔XRZ]ZR R῎ a
R 31.3ΩRRRRRX\RR῏Z
a 1
R[RR_
Ξ῏a Ζ
aRRR_YRRR῎idc῏ if῏is῏]a⒔a iin῏
a⒔a ia῏╵Y⒔XR
ΞRRR῎Ya
SS-CSI R]ZR i1῏i2 R R῏CC-SS-CSI R]ϐR]ZR]RRR῎Ya
i2 R CC-SS-CSI R i1 R^_RΞRRR῎RRR῏Β
⓻›
RRRaRRR[R῏Ya
CC-SS-CSI RR^⏭⓻›
CC-SS-CSI R
- 111 -
CC-
CC-SS-CSI R i1῏
RRRRR῏CC-SS-CSI RR i1 R^⏭
RRR
RRRRRR῎
΋ 4.42ῒYa
⓻⎆R 60Hz῏
a⒔Xῑ⒔a⓻
R i1 ῏i2 Ra
΋ 4.43ῒYa
΋ 4.44 R
CC-SS-CSI RZ
a⒔aR[RRYa
CC-SS-CSI R⒔aRZ]ZR R῎ a
a⒔XR 200[V]X\RR῏╵Y\
R\ZRR῎idc῏if῏is῏iin ῏i1῏i2 R
ZR i1῏i2 R
a̱⒔aῑ⒔X]Z
R_YRRR῎Z
a 1
R[RR_
aR
⓻⎆R 60Hz῏
a⒔XR 200[V]RRRR
Ξ῏ia R
ΞRRR῎RR]
R῏CC-SS-CSI R]ϐR]ZR]RRR῎i1῏i2 R CC-SS-CSI R i1 R^_RR
R῎
΋ 4.44ῒYa
CC-SS-CSI R
- 112 -
a⒔a̱⒔a]Z
aλY
4.4.5
Ῡ›̰HS-CSI RR^
΋ 4.45 R HS-CSI RYa
R῏Za
RRRR
╵Y
CC-SS-CSI R
aR]aRR῏☛]⒔X\Z
a⒔aRΗ[RRRRR῏
aR
΋ 4.45ῒ
Ya
RR῎Ya
a⒔a̱
R
₦₱̈́[RRR₦ₗ₪₨⃉͂⏎
R[
SS-CSI RRRR͂⃅⃉₸Y♸╺RR[
R῎Ya
R
aR
RRR
RRRRR῎
[
aR
RRR῎
^ R
R῎HS-CSI R΋ 4.30Ῡb̰
῏
RR῎΋ 4.46 RRRR῏Pin_HS῏
╺RRRR[
῏ₗ⃉̯̈́̓╺RRRR
῏Pclamp_SS2 ῏Pres_SS2 ῏PINV_SS2 RRRRRYa
῏
[
a^
╺_R_RRλYR
PINV_HS῏Poutsnub_HS RRRRR HS-CSI RⒷY⒔a
R[
CC-SS-CSI R
aR [ 5.30pt
CC-SS-CSI R ╺R[
CC-SS-CSI R΋ 4.47 R
aR R῎
RRR̓ₗ₝̯₰Za
R 78.7%R␚ZRR῎HS-CSI R[R῏
΋ 4.46 R HS-CSI RYa
a⒔aR[RR
⍟Y♸╺RR[
CC-SS-CSI R῏╵YRΗYRRRRR῏Pclamp_SS2 R
῏ₗ⃉̯̈́̓╺R[
CCRR
῏Pres_SS2 RRRX\῏PINV_SS2
RΗYRRRR῎Pclamp_SS2 R CC-SS-CSI R]ϐR῏╵YRΗYRRRRR῏₾̯₰‽R
RΝRRRRRRR῏LdcῑLf R⒉[RRR Df R]\[R
Rₗ⃉̯̈́̓╺RRRRR※RR₦ₗ₪₨⃉͂⏎
RR῎Pres_SS2 R i1 ῏i2 R╵YR
R\aRRRR῏is RRR^aRRΗY
RRRX\RRRRR῏
ZRRRRRRRRRR`RRRRR῎
- 113 -
RRRRRRR῎PINV_SS2 R is
⍟Y♸]
R╵YR[RRX[
΋ 4.46ῒ
΋ 4.47ῒYa
΋ 4.48 RYa
R[
R῏⒉[R
RRR Df R[
RRRR
R
⍟Y♸]
╵YaaR
a⒔a̱[
^
CC-SS-CSI R[ λYRRRRY♸_a
CC-SS-CSI R[ ]`R R῎CC-SS-CSI R]ϐR῏͆ₕ͂₯͆ Ldc῏Lf
aRRRR῏X
RR₮̯̓
RRR῏ ⍟Y♸╺R[
ϓRR῎╵YRΗYRRRRR῏LdcῑLf
RRRRR╵YRRRRRRX\RRR῏
R╵YR[RRX[ZRRRRRRRRRR`RRRRR῎
aRRR[
R
R῏CC-SS-CSIR]ϐR῏╵Y⒔aR[RRRX[R῏
╵YaaRX[RRR῎΋4.49Rₗ⃉̯̈́̓
a⒔aR[RR[
- 114 -
]ZR R῎
Ῡ※̰
΋ 4.48ῒYa
CC-SS-CSI R
a⒔aR[RR[
]Z
΋ 4.49ῒYa
CC-SS-CSI R
a⒔aR[RR[
]Z
CC-SS-CSI R
a⒔aR[RR
⍟Y♸YaΒ
R^
΋ 4.50 R CC-SS-CSI RYa
[R῏Ya
R
CC-SS-CSI R
aR]R
RR῎CC-SS-CSI RYa
╵Y[RYaRRRRR῏ [R 3.44pt R
CC-SS-CSI R
⃉₸Y♸╺῏ₗ⃉̯̈́̓╺RRRR[
aR R῎CC-SS-CSI R
╺R[
^
R CC-SS-CSI῏Ya
- 115 -
YR΋ 4.49 R
CC-SS-CSI
a
R῎͂⃅
RRR]ⒷR[
R^ZRRRR῎RRR[R῏ ⍟Y♸╺R[
RR`^_RϑZRRRRRRRRRR῎RR
SS-CSI RR
aRRR
R῏CC-SS-CSI R[R῏Ya
YRRR῏Ya
RRRRRRRRR῎
΋ 4.50ῒ a⒔aR[RR
΋ 4.51ῒ a⒔aR[RR[
a^
- 116 -
^
CC-SS-CSI
CC-SS-CSI R_R CC-
4.5 RRR
χ
RR῏[※
̯⃉₝₶Y♸῏
R`RRRRR
⍟₠⃉₮⃉₢Y
χY♸RRR῏̓͆⒔a̯̓⃉₝⃉Y♸῏̓͆⒔a̓
⒔◄
Y♸RΦ☪RR⍠RR̓₶₯₦ₗ₪₨⃉͂⒔a
ₗ⃉̯̈́̓R\XRR῎
χ
R̓₶₯₦ₗ₪₨⃉͂⒔a
R╺_
⍟
R῏
XRY
⒔R◄
aR PWM Z
χ
R
RR῎`
RRR
RRRR₷͆₪₥Y♸R
⍟
₯⃅⃉₦R☪RR
RR⒔X͂⃅⃉₸Y♸RώR῏₦ₗ₪₨⃉͂⏎
R῎]a[R Idc Z
YR
ₗ⃉̯̈́̓R῏₦ₗ₪₨⃉͂
RRRY♸
⍟₠⃉₮⃉₢⒔
R⒔X₦₯͆₦RϑZR
ZR῏RR\a͆ₕ͂₯͆R
RR῎
RR῏CC-SS-CSI RY♸]
̯⃉R⍠RR
XR῏RR
ϓRϓϙ⒅R`RRRRR῎CC-SS-CSI R PWM ₲̓
Z_▨RZ`
R
R῏RRR῏\a͆ₕ͂₯͆R
XRR\a͆⃉͂⒔aR`]R[RR PWM ₲̯̓⃉R_Z▨R\XR
RϓϙYZ
YR
₽̯̓RZ
▨RRRRR`RRRRR῎
RRR̓₶₯₦ₗ₪₨⃉͂]
RRR῏CC-SS-CSI R
RZ
R♆☪R
RRRRRRRR
₦ₗ₪₨⃉͂⏎
R
a⓻
̯̓⃉R_ZR
R
RRY♸₲⃅
aRa
ⓦRR῎CC-SS-CSI R\aₗ⃉̓͂̓⃉₦R HS-CSI R\aₗ⃉
⚇RRZRR῎RR[
RR
\
RR῎Y♸]
R ZCS RRR ZVS R␚ZR῏
̓͂̓⃉₦R^R῏` 1/20 RZ RRRR῏\
`]RRR
R⏎
YR
Y῏a
R
a⓻
RZ
⓻ PWM _ RR\a͆⃉͂⒔aR
RRR῏
╵Y⒔X_]R
RRR PWM ₲
⚇RϑZ
YR]RRRRRR
RRR
ⓦ
RR῎
HS-CSI RR
R^R
a^ R
[ 2.28pt R
CC-SS-CSI R
RR῎CC-SS-CSI R
a
R
₯RRR῎
a 77.8%R␚ZR῏HS-CSI
RR῎
a[☥aYR
RRRRR῏[☥aYRRώ
╵Y[R [
R
RR῎DCL R
YR⏫␻R₢ₗ₧῏
RRR῎RRR῏DCL ⒉⍝R
τ⚅R⌅
aR
Y
R̯͂ͅₗ⃉
a[☥aYRR῏\a͆⃉͂⒔a id R[RRRRκ☰RRR῎DCL R⒉⍝[
ZR]RRRR
῏
DCL R
☪RR CC-SS-CSI RR῏ [RR DCL R
R[R῏RR[RR idc RaRRR DCL R
τ⚅R RRRRR῎RRRR῏[RR idc R
aRRRRRRR CC-SS-CSI R῏HS-CSI RR῏
RRRRR`※ R
a☥aΗYR
╵Y[RRRR῏RRRR
⃉₢R₦ₗ₪₨⃉͂⏎
aR
R HS-CSI
a☥aR[RRRRRRRRRR῎
RR῎
R`
R῏
⍟Y♸RYaR
RR῎
⍟₠⃉₮
R₷͆₪₥Z[RRRRRRR῏RRRRRκ☰RRRR
♸R╥☰RR῏RRRRRRR῏₦ₗ₪₨⃉͂⏎
R]\[RRR
⒔Y
⍟ₗ⃉̓͂̓⃉₦R[
R\ R`⒅RRR῎
Ya
♸R[
R
CC-SS-CSI R
R\
RR῏
a
[
YR
RRR
RR῎Ya
CC-SS-CSI RR
⍟Y
a 78.7%R␚ZRR῎╵Y]ZRR῏YaΒR CC-SS-CSI R^
[ 3.44pt῏HS-CSI R^R῏ [ 5.30pt R
a
- 117 -
RRRR῎
CC-SS-CSI RRRYa
Ῡa̰
CC-SS-CSI R῏XYRΧR
⍟Y♸RY♸]
͂R
R
ZRR⏎
RRRRRRR̓⃉₢aR╥☰R῏
Ῡb̰ LdcῑLf RRR ⍟Y♸R⏎
ₗ⃉̯̈́̓R
X
αRZ
R̰RR῏\a͆⃉͂⒔aRZ
Ῡb̰R
RRR῏
αR
\RRRRR῏̓₶₯₦ₗ₪₨⃉
⍟Y♸RZ
R
₲⃅₽̯̓R\a͆⃉͂⒔aR
Rκ☰RRRR\a͆⃉͂⒔aZ
⒔a
₲⃅₽̯̓R
RRRR῎
RRR
\RRRRR῏HS-CSI
RRRRY♸RRRRRY♸RZ
⒅R♆☪RR
R╥☰RRR
ῩaRR῏PM ₾̯̓R
RRκ☰RRR῎CC-SS-CSI RRRYa
[ͿΧR
CC-SS-CSI R
RRRRR῏RRRRR☪⒜RRRRRΦRRRRR῎
RR
a⒔XYRYαR̓₶₯₦ₗ₪₨⃉͂⒔a
RRRRRRR῎
- 118 -
ₗ⃉̯̈́̓RRRR
_
̰›̰ `⑆
[⚃῏`
̯̈́̓῰῏⒔
̰※̰
Ϋ♱
[ϑ
RX_▨῰
῏⒔
̰‼̰
῏
⒔a
ₗ⃉
ϙ D῏Vol. 114-D῏No. 6῏pp. 631-637῏1994.
☮_╊῏`PWM ⒔a
⒔aZ
^ ⒔ ₤ ₦ ₭ ₼ R Φ R R ␢ Ζ PWM ⒔ a
Z
ₗ⃉̯̈́̓RRR␢Ζ
Ϋ♱
[ϑ
^⒔₤₦₭₼
[
ϙ D῏Vol. 124-D῏No. 5῏pp. 517-518῏2004.
Ξ῏^⒓
]῏`␢Ζ
Z
Y῰῏ _Z 16 ΰ⒔
ₗ ⃉̯̈́̓ R
ΫR♱
Y⏁
RR[ϑ
^⒔☪
⌝ϙ_
[4]῏4-
[Y
105῏pp. 161-162῏2004.
̰‽̰ Z ⒓
῏
⒓
῏`⒔a
ₗ⃉̯̈́̓
]☛]
R X \ Z R R R R ῰῏
⒔ ϙ B῏Vol. 98῏No. 11῏pp. 911-918῏1978.
̰‾̰
]⓰╊῏_Y
R
῰
῏⒔
RRX
̰‿̰
☟῏`⒔a
῏⍽`
PWM ZaY♸RRRR]a⒔aRRRRYΨ⍟]
ϙ D῏Vol. 114-D῏No. 12῏pp. 1249-1256῏1994.
῏ΟYaZ῏
XΈ
]a⒔Xῑ⒔aRYΨ⍟]ϑZ῰
῏⒔
῏`⒔a
Ζ PWM ₠⃉̯̈́̓RRRR
ϙ D῏Vol. 117-D῏No. 4῏pp. 420-426῏1997.
̰⁀̰ Y. Murai, H. Ishikawa and T. A. Lipo, “New Series Resonant DC Link Inverter for
Elevtric Vehicle Drives”, IEEE IAS Conference Record, Vol. 1, pp. 443 - 447, 1994.
̰⁁̰ H. Ishikawa and Y. Murai, “A Novel Soft-Switched PWM Current Source Inverter with
Voltage Clamped Circuit,” IEEE Trans. on Power Electronics, Vol. 15, NO. 6, pp. 10811087, 2000.
̰⁂̰ ZZ☚
ΰ⒔
῏[X☘
῏`₲͆₦
⓻⎆X\R⒔a
⍟ PWM ₗ⃉̯̈́̓῰῏_Z‿
῏ No. 801῏p. 253῏1994.
Y⏁ [Y ⌝ϙ_ Ῡ‿̰
̰›̸̰ ZZ☚
῏[X☘
_Z‿ΰ⒔
῏`⒔
Y
]
]☪╺_
⍟⒔a
PWM ₗ⃉̯̈́̓῰῏
΃☪╺`⏁ [Y ⌝ϙ_ ῏No. 223῏pp. 958-961῏1994.
̰››̰ `^][⒔a_ Y♸῰⒔
Y^][⒔a_ _
\
Z`XXY_῏[⁁^῏
1995.
̰›※̰ χ ╺
῏
PWM Z
̰›‼̰ `⒓
⒓`[῏⍑⒓`
▨῰῏ ⒔
Z῏
☪RR[ϑ
Z
^⒔
῏`Z
⓻
a⒔a
GTO ₗ ⃉ ̈́ ̯ ̓ R
ϙ B῏Vol. 106῏No. 7῏pp.579-586῏1986.
Ξ῏^⒓
Ϋ♱
] ῏ `⒔a
₤₦₭₼῰
῏⒔
ₗ⃉̯̈́̓R DC-DC ₠⃉̯̈́̓R
ϙ D῏Vol. 116-D῏No. 6῏pp. 718-719῏
1996.
̰›‽̰ ZZ☚
῏[X☘
῏`╺_
⍟⒔a
PWM ₗ⃉̯̈́̓R
a]ZR
]῰῏
⒔ ϙ D῏Vol. 118-D῏No. 3῏pp. 345-352῏1998.
̰›‾̰ H. Ishikawa and Y. Murai, “Improvement of Performance of a Series Resonant DC Link
PWM Inverter,” Proceedings of the Power Conversion Conference-Nagaoka 1997, Vol. 1,
pp. 319-324, 1997.
- 119 -
̰›‿̰ ZZ☚
⒔
̰›⁀̰ ZZ☚
, [X☘
, “╺_
Y^][⒔a_
῏[X☘
_Z⁂ΰ⒔
῏`╺_
⍟⒔a
Y
PWM ₗ⃉̯̈́̓R
a]ZRY⎾”,
a ῏SPC-97-23, pp. 57-62῏1997.
⍟⒔a
PWM ₗ⃉̯̈́̓R
a⓻
Y⏁ [Y ⌝ϙ_ ̰4̰
῏No.879῏pp.152-153῏1997.
- 120 -
RY⎾῰῏
[‾
⒔a ₗ⃉̯̈́̓R̓₶₯₦ₗ
₪₨⃉͂YῩ
a⒔XY̰
X αR♆☪RR̓₶₯₦ₗ₪₨⃉͂⒔a
⃉̯̈́̓
5.1
4.5 R
RRRRR῏⒔a
⃉͂⒔aRZ
X
ₗ⃉̯̈́̓R
αRZ
]
PM ₾̯̓R
ZR PFC ₠⃉̯̈́̓RRRR
[aXRR῏
RRR῏ₗ⃉̯̈́̓R
⒔XRR
R☛
ₗ⃉̯̈́̓R☛
[‽
R
RR
RR῏\a͆
R
῏
⒔XR⒔
R⒔XR
R
☪YRRRRR
X₨⃃₪₲̱⒔X
⒔XRR
X₨⃃₪₲R
⒔XRR
R
X
αR
₲⃅₽̯̓R
R̈́
῎`PAM ₗ
[aXR₯͆͂Z
R
⒔XRₗ⃉̯̈́
ₗ⃉̯̈́̓␢]RR
X
αR
RRRRR῎RRR[R῏⒔a
RR῏\a͆⃉͂⒔aRZ
aRRRRR῏PM ₾̯̓
[1][2]
ₗ⃉̯̈́̓RRR῎
RRRκ☰RRR῎☛
XRRκ☰RRRR῏⒔X
RRRRRRR῏
]RΦRRRRR
RR῎
CC-SS-CSI R῏\a͆⃉͂⒔aR LdcῑLf R
RR CC-SS-CSI RRRYa
⍟Y♸R⏎
RRRR῎RRR
⒔XR^ZRR῎RRRR῏
a⒔XR☛
RRRR῏PFC ₠⃉̯̈́̓R
⒔XRR
[ͿΧR
RY⒔_`R`PAM ₗ⃉̯̈́̓῰RRR
⃉̯̈́̓῰RY♸
̓R⒔
⒅R♆☪RR
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]
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R
ZR
aXR\ZRRRR῎RRY♸
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CSI R]ϐR῏\a͆⃉͂⒔aRZ
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CC-SS-CSI R[R῏]a⒔XR[RR
- 121 -
R
ₗ⃉̈́ ̯̓ῩAuxilary Resonant Circuit
R PWM RRRRZ
RRRRRRRRR῎
R♆☪
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RR]
⍟Y♸R
⍟₠⃉₮⃉₢R⒔XR_
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R₦ₗ₪₨⃉͂
⓻₯⃅⃉₦R
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̯̓ R_
ZRRR
R[RRR♼Rₗ⃉̓͂̓⃉₦Z_R
RR̓₶₯₦ₗ₪₨⃉͂]
Z
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ₗ⃉̯̈́̓ [3]-[6]R\X
RR
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χ
RR῏ARCC-CSI RY♸]
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a]ZR
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R
⒅R
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R
R_
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ZR]\
΋ 5.1 R\XRR ARCC-CSI R
⍟Y♸R
Z_▨RZ`
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R
ϓ῏PWM ₲̯̓⃉R
RRR
a
ZR
R῎
ARCC-CSI R῏
΋ 5.2 R
ZRRR῎RRR῏ ⍟Y♸R
RRRRR⒔X
ZR
R HS-CSI R DCL
]RRRRRR῏
R`RRRRR῎RRRR
Eres RRR῎
΋ 5.1ῒ_
⍟
̓₶₯₦ₗ₪₨⃉͂⒔a
΋ 5.2ῒHS-CSI
- 122 -
ₗ⃉̯̈́̓
⍟Y♸R΋ 5.3
Ῡa̰̯̓⃉₝⃉
Ῡb̰̯̓⃉₝₶
΋ 5.3ῒ̓₶₯₦ₗ₪₨⃉͂]
ₗ⃉̯̈́̓[R※RR
R
῏Y♸_\
RRRR
₦ₗ₪₨⃉͂⏎
⍟Y♸R⒔X
R₝⃉RRRRRR῎Eres R΋ 5.3Ῡa̰R
R
di dc
di
+ M f + vO
dt
dt
di f
di
− Eres = L f
+ M dc
dt
dt
E = L dc
RRR῎Ῡ5.1̰
ῑῑῑῩ5.1̰
ῑῑῑῩ5.2̰
῏Ῡ5.2̰
RR
di dc L f ( E − v O ) + MEres
=
dt
L dc L f − M 2
ῑῑῑῩ5.3̰
RRR῏ RRRZRRRR idc RΗYRR῎Ῡ5.3̰
Eres > −
RZRRR Eres R
Lf
( E − vO )
M
ῑῑῑῩ5.4̰
RRR῎X_῏Eres R΋ 5.3Ῡb̰R
ZR
῏Y♸_\
R
di dc
di
+ M f + vO
dt
dt
di f
di dc
Eres = L f
+M
dt
dt
E = L dc
RRR῎Ῡ5.5̰
ῑῑῑῩ5.5̰
ῑῑῑῩ5.6̰
῏Ῡ5.6̰
RR
di dc L f ( E − v O ) − MEres
=
dt
L dc L f − M 2
ῑῑῑῩ5.7̰
RRR῏RRR╵RRRR῏idc R
Eres >
RR῎Ῡ5.7̰
R╵RRR Eres R
Lf
( E − vO )
M
ῑῑῑῩ5.8̰
RRR῎RRR῏̯̓⃉₝⃉
RR
RῩ5.4̰
῏̯̓⃉₝₶
ZR⒔XRRRRRR Eres R⒔XRZ
5.2.2
5.2.1 R
Z
aYRRRR
]RR⒔X
RωRR
Ῡa̰R CC-SS-CSI R☪RR
RωRR῏RRRR
RRRRRRRR_RR῎
⍟Y♸R
⍟Y♸R
⍟Y♸R]R
RῩ5.8̰
]
ZaRRR΋ 5.4 R
Z῏Ῡb̰RYa
- 123 -
RY♸R
XRR῎
CC-SS-CSI R☪RR
⍟
Y♸R]R
ZRRR῎Ῡc̰RῩb̰R
ₗ₝̯₰R␻R
RR
₷͆₪₥
R‽RR_
₦ₗ₪₨⃉͂⏎
ZRRRRRRRR῎RRY♸
⃉₮⃉₢ C0 R⒔X vC0 R♆☪RR is R₝₶RRRR῎RRR῏[‽
R₦ₗ₪₨⃉͂⏎
⎆R
RRRR₢ₗ͆₦̓
R
RRR῏
⍟Y♸R[
RλRR₦ₗ₪₨⃉͂⏎
R[R῏
R
RRR῏※RR̓
ZRRRRR
R
RRRRRῩa̰
aRXYR
ΰRRR῎Ῡb̰
RR IGBT R\a̓ₗ₝̯₰R␻
RRRR῏Ῡc̰RR╺╡Χ⎆R[RRR῏RRR]\[R[RRR῎X
R῏
R\a͆⃉͂⒔aRZ
R₝₶RRR
R
₪₥RRR
R῎S1 ῠS6 RR῏̯̓⃉₝₶
ₗ₝̯₰R⏏R
RRRR῏
₦ₗ₪₨⃉
RR LdcῑLf R♼Rₗ⃉̓͂̓⃉₦Z_RRR vC0 RRR Ldc Rₛ̈́͆
ΖR⍟R_RRR῏
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ZR΋ 5.5 RRR῎]a[₷͆₪₥RRR DCLῩLdc̰
R῎Ldc Rₗ⃉̓͂̓⃉₦ Lf R`
̯͂R Lf RXR῎C0 R ⒔RR
⏀
Rϓ☘RR
⍟Y♸RRῩc̰RΦ☪RRRRRRR῎
RRRRR῏ ARCC-CSI RY♸
͂⏎
⍟₠
RR C0 RRR Lf R
a[₠⃉₮⃉₢ CL R
ΧR̓͆⒔a
R₢ₗ͆₦̓R
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ZRR῎idc R
R
R῏╵YR
ΧRR῏
RΦRRRRR῏IGBT RRR
Δ
Ῡb̰₷͆₪₥
΋ 5.4ῒARCC-CSI R
⍟Y♸
΋ 5.5ῒARCC-CSI RY♸
- 124 -
Ῡc̰
Za
Z
aR
]ZRRR
⏎
RRRRΦ☪YαRRR῎
Ῡa̰₠⃉₮⃉₢⒔X^Χ
a[₷͆
₷͆₪₥
R\a̓
5.2.3
Y♸]
Y♸]
ϓ
RZ`R ␢RRRRR῏΋ 5.6Ῡa̰R\aR]aRRRXΖ_Y♸RZ`RR῎
]a[RZ[RR₨⃃₪₲R῏΋ 5.5 R⒔
Z
RRRRΕ]RR῎Y♸]
ῑ ╵Y⒔X vO R΋ 5.6Ῡb̰R
ῑ
[₷͆₪₥Y♸RⒷY⒅R_
RZ`RRRR῏Y♸
RXYRRR῎
R RR\⒔X
╺R⒔a῏⒔XR῏΋ 5.6Ῡb̰R
R RRZ
ῑ L01῏C0 RRRRR Ldc῏CL R^RR _
RR
Ῡa̰XΖ_Y♸
Ῡb̰
΋ 5.6ῒARCC-CSI RXΖ_Y♸
- 125 -
RRRRR῏idc
ῑ Ldc R Lf R
⒢R›`ωR῏♼Rₗ⃉̓͂̓⃉₦R[
Th1 ῏Th2 ῏Sin ῏S1 ῏S2 ῏S3 ῏S4 RRR̓ₗ₝̯₰ D1῏D2 RϓΕ⒅R
ῑ ₦ₗ₪₨⃉͂⏎
₦ₗ₪₨⃉͂]ZR
Y♸]
R
R
₦ₗ₪₨⃉͂⏎
R
R
RXYRRR῎
ῑ ΋ 5.6Ῡb̰R
ῑ C0 R΋
RR
R
Rₗ⃉̯̈́̓[R
₦ₗ₪₨⃉͂⏎
S1 ῏S4 RRR₨⃃₪₲R
Sin R₝⃉R῏idc RaRRRR
ZR
⒔RRRRR῏RR⒔XRῩ5.6̰
R Eres RⒷRR῏RRῩ5.8̰
RωRR
΋ 5.7 R idc῏if῏i1῏i2῏vc0 R⓻
R
aRRR
₨₿̯₯῏΋ 5.8 R₾̯₰ΒX₶̯͆₨₿̯₯R
΋ 5.7ῒARCC-CSI R ╺⓻
₦ₗ₪₨⃉͂⏎
R₦ₗ₪₨⃉͂̓ₗ₼
R῎
R₦ₗ₪₨⃉͂̓ₗ₼
΋ 5.8ῒARCC-CSI R₾̯₰ΒX
₨₿̯₯
₶̯͆₨₿̯₯
ῳ₾̯₰›̱
Sin῏S1 RRR S4 R₝⃉RRR῎⒔a
⒔X E R
i dc =
1
L dc
╵Y⒔X vo RRRR
E−v
∫ ( E − v )dt = L
O
R
R῎Y♸RaRR⒔a idc R῏⒔
RRR῎
t + i (0 )
ῑῑῑῩ5.9̰
dc
i(0)R₾̯₰›
Th2 RΧ
O
♸R΋ 5.9 R
R idc RRR῎Th1῏Th2 RΧ
RRR S1 RRR S4 R₝₶RRR
RRRRRRR
R₾̯₰RX
- 126 -
RR῎
[RX
RR῏Th1῏
΋ 5.9ῒ₾̯₰›R⒔a
♸
ῳ₾̯₰※̱
Sin῏S1 RRR S4 R₝₶RRRRR῏Th1 R Th2 R₝⃉RRR῎if RaR
RRR idc R
RR῎idc R̓͆RRRR
※RR̓ₗ₝̯₰ D1῏D2 R῏vC0 RRR
⒔aR
♸R΋ 5.10 R
RRRR῏
ΧR Sin῏S1 RRR S4 R₝₶RRR῎
̈́ₗₕ₦RRRRR῏₝₶
R῎₾̯₰※RY♸_\
[R_
⍟Y♸R
RR῎Y♸
R῏Ldc R Lf RΖ ₗ⃉̓͂̓⃉₦R M
RλRRR῎
di dc
di
+ M f + vO
dt
dt
di f
di dc 1
0 = Lf
+M
+
i f dt
dt
dt C 0
E = L dc
ῑῑῑῩ5.10̰
∫
Ῡ5.10̰
R῏RRRRR
῏Ῡ5.11̰
ῑῑῑῩ5.11̰
RR῏idc RRR if RXYRRR῎
΋ 5.10ῒ₾̯₰※R⒔a ♸
- 127 -
k1 M
E − vO
t + i dc (0 )
sinω1t +
ῑῑῑῩ5.12̰
ω1 L dc
L dc
k
i f = − 1 sinω1t
ῑῑῑῩ5.13̰
ω1
RRR῏idc(0)῏vC0(0)ῒRRRR₾̯₰※
R idc῏vC0῏
M ( E − v O ) + L dc v C0 (0 )
M

L dc
1
2
k1 =
E − v O ) + v C0 (0 ) ῏ ω1 =
= ω1 C 0 
(
2
C 0 L f L dc − M 2
L f L dc − M
 L dc

i dc =
Ῡ5.8̰ RR k1 R
RωRRR idc R
῞R
R῏RRR̓͆RRR῎RRRR῏Sin῏
S1 RRR S4 R ZCS R̯̓⃉₝₶RR῎Th1 R Th2 RῩ5.13̰
RR ZCS ̯̓⃉₝⃉R
R
R῎
k1 < −
E − vO
M
vC0 RῩ5.13̰
ῑῑῑῩ5.14̰
RR῏
v C0 = v C0 (0 ) cos ω1t −
RRR῎
M
( E − vO )(1 − cos ω1t )
L dc
ῑῑῑῩ5.15̰
ῳ₾̯₰‼̱
₾̯₰‼RR῏if RRR῏C0 R ⒔RR῎Y♸⒔aR ♸R΋ 5.11 R
R
R
R῎RR
R if R
⍟⒔aRRR῎
i f = i f (1) cos ω 2 t − ω 2C 0 v C0 (1)sinω 2 t =
{ω 2C 0vC0 (1)} 2 + i f (1)2 sin(ω 2t + φ1 )
ω L i (1)
1
῏ tanφ1 = − 2 f f
LfC0
v C0 (1)
if(1) ῒ₾̯₰‼
R if῏vC0(1)ῒ₾̯₰‼
RRR῏ ω 2 =
vC0 RῩ5.16̰
RR῏
RRR῎
΋ 5.11ῒ₾̯₰‼R⒔a ♸
- 128 -
R vC0
ῑῑῑῩ5.16̰
v C0 = ω 2 L f i f (1)sinω 2 t + v C0 (1) cos ω 2 t =
RRR῏ tanφ 2 =
v C0 (1)
ω 2 L f i f (1)
{ω 2L f i f (1)} 2 + vC0 (1)2 sin(ω 2t + φ 2 )
ῑῑῑῩ5.17̰
ῳ₾̯₰‽̱
vC0 R̓͆R␚RRR῏̓ₗ₝̯₰ D1῏D2 R ZVS ̯̓⃉₝⃉R]\R῏if R
R
R῎if RX\⒔aRRR῏D1-Th2 R Th1-D2 R
R⒔a ♸R΋ 5.12 R
aRR῎R
♸R_aR῏i1῏
i2 RRRRR if R 1/2 RRR῎RRRR῏C0 R⒔aRa]RRRRR̓͆⒔XRX
if῏i1῏i2 R
if =
id Z
R
RRR῎
{ω 2C 0vC0 (1)} 2 + i f (1)2 = 2i1 = 2i 2
ῑῑῑῩ5.18̰
RRRR Sin R₦ₗ₪₨⃉͂RZR[RR῏RR₾̯₰R
R[RR
RRR῎
RR Sin R₝₶῏
R
R῎if RRR
aΞ if*R
RR₝⃉RRR῎
΋ 5.12ῒ₾̯₰‽R⒔a ♸
ῳ₾̯₰‾̱
C0 R
R΋ 5.6Ῡb̰R
ZR ⒔RRRR῏Th1 R Th2 R₝₶RRR῎vC0 R̓͆RRRR
R῏RRRR₦ₗ₪₨⃉͂⏎
R ZVS R̯̓⃉₝₶RR῎⒔a
RR῏C0 R ⒔RRR῎RR
R if R
i f = i f (2 ) cos ω 2 t =
RλRRR
{ω 2C 0vC0 (1)} 2 + i f (1)2 cos ω 2t
RRR῏if(2)ῒ₾̯₰‾
vC0 R⒔XRῩ5.19̰
RR῏
R if
RRR῎
- 129 -
♸R΋ 5.13 R
R῎if R
⍟⒔aRRR῎
ῑῑῑῩ5.19̰
{
v C0 = − i f (2 )
}
Lf
Lf
2
2
2
2
ω 2 C 0 v C0 (1) + i f (1) sinω 2 t
sinω 2 t = −
C0
C0
ῑῑῑῩ5.20̰
΋ 5.13ῒ₾̯₰‾R⒔a ♸
ῳ₾̯₰‿̱
R S1 RRR S4 R₝⃉RRR῎Sin RR₾̯₰‽R₝⃉Έ
RY♸⒔aR
͆RRRR
♸R΋ 5.14 R
R῎idc RaR
RϏRRRRRRR῎RR
R῏RRRRRRRR if R
ΧR D1῏D2 R₝₶RRR῎₾̯₰‿RRRRY♸_\
R]RRRR῎RRRR
RR idc῏if R
RRR῏
΋ 5.14ῒ₾̯₰‿R⒔a ♸
- 130 -
RR῎if R̓
RῩ5.10̰ ῏Ῡ5.11̰

E − vO
M  k3
t+
 sinω1t − i f ( 3)(1 − cos ω1t )
L dc
L dc  ω1

i dc =
ῑῑῑῩ5.21̰
2
k 
k
2
i f = i f ( 3) cos ω1t + 3 sinω1t =  3  + i f ( 3) sin(ω1t + φ 3 )
ω1
 ω1 
L v ( 3) + M ( E − v O )
ω i ( 3)
RRR῏ k3 = dc C0
῏ tanφ 3 = 1 f
῏
2
k3
L f L dc − M
if(3)ῒ₾̯₰‿
R if῏vC0(3)ῒ₾̯₰‿
R vC0
RRR῎Ῡ5.21̰
̯⃉₝₶R
v C0 =
ῑῑῑῩ5.22̰
RR῏S1῏S4῏Sin R ZCS ̯̓⃉₝⃉῏Ῡ5.22̰
RR῎Ῡ5.22̰
RR₾̯₰‿R vC0 R
RR D1῏D2 R ZCS ̓
RλRRR῎
i f ( 3)
M
sinω1t − v C0 ( 3) cos ω1t +
( E − vO )(1 − cos ω1t )
ω1C 0
L dc
̓₶₯₦ₗ₪₨⃉͂]
`
5.2.4
Ῡ›̰
aRZ
ARCC-CSI R
ῑῑῑῩ5.23̰
RRRRR PWM ₲̯̓⃉RZ
▨RZ`
₦ₗ₪₨⃉͂⏎
R PWM ₲̯̓⃉R CC-SS-CSI R☪RR΋ 4.12Ῡc̰R
☪RRRRRRR῎ARCC-CSI RR῏\a͆⃉͂⒔a id RZ
RRRR῏CC-SS-CSI R☪RR PWM ₲̯̓⃉R_ZR
ARCC-CSI R῏CC-SS-CSI R]ϐR῏
ₗ₪₨⃉͂⏎
R₝₶R
RR῎mL R C0 R
Ν
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R
⒔R
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⒔
⓻R⍟ο m R
mL RZ\
Ν
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R
R῎₾̯₰‼ῠ
RRRR῏₾̯₰‽R]
RκRRR
RRRRR῏₾̯₰‼R_⒔
R₾̯₰
R⚅RRR῎
₾̯₰‼RR῏Lf῏C0 RRR
⍟⒔a if R C0 R_⒔RR῏C0 R⒔X vC0 R̓͆R␚RRR
RR῎Lf῏C0 RRR
₾̯₰‽RX
⍟
⓻⎆R^⏭⓻
⒔aRRRRRRRRRR῎₾̯₰‼RRRR C0 R
R
₦
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₾̯₰‾RRR῏₾̯₰‽RR C0 R̓͆⒔XRX
‾R
῏RRRR⏁RR
R῏ZCS ̯̓⃉₝⃉RRR̯̓⃉₝
PWM ₲̯̓⃉Ra₺͂₯͆RRR῏₾̯₰‼ῠ₾̯₰‾RY♸]
Rκ☰RRR῎RRRR῏C0 R
RRRRR
RRRRRRRR῎
a PWM Ra₺͂₯͆
R῏C0 R_⒔RRR
RR῎RRRRR῏C0 R
₶R
R΋ 5.5 R Sin R
⓻⎆RR
_\RRR῏if RX\
⒔XR vC0(1)RRRR῏_⒔
t3
RλRRR῎
t3 =
C 0 v C0 (1)
if
ῑῑῑῩ5.24̰
₾̯₰‾RR῏if RRRR vC0 R ZCS ̯̓⃉₝₶YαR⒔X vC0(0)R␚RRRR C0 R
RR῎Lf῏C0 RRR
RR
⒔
t5 R
⍟
⓻⎆R^⏭⓻
⓻⎆RR
RλRRR῎
- 131 -
⒔
_\RRRRR῏if RX\⒔aRRR
t5 =
C 0 v C0 (0 )
if
ῑῑῑῩ5.25̰
RRRRR῏a₺͂₯͆R Ν
t0 min = t3 + t5 =
RRR῏Έ
mL =
t0min RῩ5.24̰
῏Ῡ5.25̰
RR
C0
{vC0 (1) + vC0 (0)}
if
ῑῑῑῩ5.26̰
⓻ [⍟ο mL R^⏭⓻R
R T RRRR῏
RRR῎
T − t0 min
C {v C0 (1) + v C0 (0 )}
= 1− 0
T
if
T
ῑῑῑῩ5.27̰
RRR῏₾̯₰※RRR₾̯₰‿R^⏭⓻
R
R
R[R῏
ΝRΝRRY\RRR῏Ῡ5.27̰
RRR῎
mL = 1 − 2
C 0 v C0 (0 )
if
T
Ῡ※̰
⍟Y♸RZ
ῑῑῑῩ5.28̰
RRRR῏^⏭⓻R[RR Th1 RRR Th2 R₦ₗ₪₨⃉͂Z
RR῎^⏭⓻R Th1 ῏Th2 RZ
5.15 R
Έ
R̓ₗͅ⃉͂RRRR\X
RRR D1῏D2 R₝⃉ῑ₝₶
[R̓ₗ₼₨₿̯₯R΋
R῎
5.2.3 R
RRRRR῏Th1 RRR Th2 R
₦ₗ₪₨⃉͂⏎
R̯̓⃉₝₶Έ
R]
RR
₾̯₰※R₝⃉RRR῎RRRRR῏̯̓⃉₝⃉R̓ₗͅ⃉͂R^⏭⓻RRRRRRR⓻R
aR
RRR]
R C0 R
RRRRRR῎Th1 RRR Th2 R₝₶RRR
⒔RRR῎Th1 ῏Th2 R̯̓⃉₝₶RR
RRR̓ₗͅ⃉͂RRR
St R C0 R
΋ 5.15ῒ^⏭⓻R
ΧRR῏
R ZCS ]
῏₾̯₰‾RRR₾̯₰‿
R
₦ₗ₪₨⃉͂⏎
RRR⒔XRR ⒔RRRRRR
⍟Y♸R₦ₗ₪₨⃉͂̓ₗ₼₨₿̯₯
- 132 -
R₝⃉
RR῏RR
R
R̓ₗͅ⃉͂R
RRR
⍟
ΞRῩ5.25̰
R^⏭⓻RΈ
⓻⎆R^⏭⓻
R
RR tmode5 RRR῎RRR῏Th1῏Th2 R̯̓⃉₝₶
⓻R
ΧRRSt RR⏝RRRκ☰RRR῎Lf῏C0
RR
⓻⎆RR
_\R
R if R
RRR῎RRR
RRRR῏΋ 5.15Ῡa̰RΧZR
οSm RYRR⓻
R Th1 R Th2 R₦ₗ₪₨⃉͂
RR῎΋ 5.15Ῡb̰R Th1 ῏Th2 R₦ₗ₪₨⃉͂Έ
R῏^⏭⓻R_R[RR
⃉̯̈́̓R PWM Έ
⏎
5.2.5
R₝⃉῏
R]R
\
R
⏎
ΞRZ
RR
RX\RRRR῏St RX\Ξ
RRRR῏Έ
aΈ
⓻RSt R[΃RR⍟
⓻ῩXY῏╦YΈ
⓻R
R]RRR῏^⏭⓻R╦YΈ
R̰R
⓻R^
R₝₶RRRRRRRRRRR῎RR_▨Rₗ
R^⏭⓻RΈ
⓻RR
RR
RRR῎
RRY♸₲⃅₽̯̓RZ
a
Ῡ›̰Z
ARCC-CSI R
R
RRR
RRRRRR῏΋ 5.5 R
RXΖ_Y♸RRRλ 5.1 RZ
RRRRRRR῎
λ 5.1ῒZ
⒔
DC 200V
a
Ζ 200V
a☥a
^⏭⓻
Ῡ※̰
⓻⎆
R [⒔a
50A
₦ₗ₪₨⃉͂⏎
R [⒔X
750V
⍟Y♸₲⃅₽̯̓RZ
̯₰‼RRRR
[RRR῎λ 5.1 R
[⒔a
῏Ῡ5.16̰
{ω 2C 0vC0 (1)} 2 + i f (1)2
v C0 ≥ −
Lf
C0
ῑῑῑῩ5.35̰
RR
{ω 2C 0vC0 (1)} 2 + i f (1)2
RRR῎Ῡ5.35̰
῏Ῡ5.36̰
ῑῑῑῩ5.36̰
RR῏
R
R]RRR῎
v C0
Lf
1
≥
= ω 2L f =
if
C0
ω 2C 0
ῑῑῑῩ5.37̰
₾̯₰‼RRRR₠⃉₮⃉₢ C0 R_⒔
⍟ο mL R
RR῏₾
⍟⒔a if R
RRR῎₾̯₰‾RRRR vC0 RῩ5.20̰
−
10kHz
₦ₗ₪₨⃉͂⏎
⍟Y♸R⒔a if R₾̯₰‽R
if ≥
1kW
RῩ5.26̰
῏Ῡ5.27̰
t3῏₾̯₰‾RRRR ⒔
t5῏Έ
⓻
[
RR
t3 + t5 = (1 − m L )T
ῑῑῑῩ5.38̰
- 133 -
RRR῎t3῏t5 RⒷRRRRRR῏Ῡ5.38̰
t3 = t5 =
RR
R]RRR῎
1 − mL
T
2
₾̯₰‼R if R
ῑῑῑῩ5.39̰
[⒔aRRR῏₾̯₰‽RX
RRRR῏Ῡ5.16̰
RR
Rω[R
Rκ☰RRR῎
ω 2 t3 + φ1 ≥
Ῡ5.40̰
π
2
ῑῑῑῩ5.40̰
RR῏₾̯₰‼RRRR if R
⒔a if(1)R
R
R
RωRRRRRRR
RRR῎
1 − mL 
π
i f (1) ≤ − ω 2C 0 v C0 (1)tan − ω 2
T
2

2
^⏭⓻
R[R῏₾̯₰※R
R
ῑῑῑῩ5.41̰
_ΝRRRRR῏Ῡ5.41̰
R
ω C v (0 )  π
1 − mL 
L dc
T
≤ − 2 0 C0 tan − ω 2

2
i dc (0 )
2
M
LdcῑLf R
RRR῎
ῑῑῑῩ5.42̰
⒢R›RRRR῏Ῡ5.42̰
RR LdcῑLf R
⎆ ndcῑnf R
R
R]R
RR῎
ω C v (0 )  π
1 − mL 
n dc
T
≤ − 2 0 C0 tan − ω 2

2
i dc (0 )
2
nf
ῑῑῑῩ5.43̰
Ῡ‼̰⎆Ξa
λ 5.1 R
[⒔a῏⒔X
RR῏Ῡ5.37̰
R
Lf
≤ 15
C0
RRR῎
ω2 =
ῑῑῑῩ5.44̰
⍟Y♸R
⍟
R^⏭⓻
R※γRRRR῏
π
= 31.4 × 10 3
T
RRRRR῏Ῡ5.37̰
ῑῑῑῩ5.45̰
῏Ῡ5.44̰
῏Ῡ5.45̰
RR῏
15
= 477 [ µH ]
ω2
1
C0 ≥
= 2.12 [ µF]
15ω 2
Lf ≤
ῑῑῑῩ5.46̰
ῑῑῑῩ5.47̰
R RRRR῎RRR mL R 0.8 RRRR῏Ῡ5.43̰
R
⎆^R
῏Ῡ5.45̰
῏Ῡ5.47̰
RR LdcῑLf
R
n dc
≤ 3.08
nf
ῑῑῑῩ5.48̰
- 134 -
RRR῎LdcῑLf RRR
L dc  n dc 
= 
L f  nf 
R῏
2
ῑῑῑῩ5.49̰
RRRRRRR῏Ldc R
L dc ≤ 4.52
⎆^R
RRR῎
[mH]
ῑῑῑῩ5.50̰
Ῡ‽̰ZCS ̯̓⃉₝₶RRRR ndc῏nf῏vC0 R
₾̯₰※RRRR idc RῩ5.12̰
i dc =
( E − v O ) t + i (0 ) − M
dc
L
L
dc
῏Ῡ5.13̰
( E − vO ) t
M
ῑῑῑῩ5.51̰
if
off
+
R toff RRRR῏Ῡ5.51̰
RRR LdcῑLf R
ῑῑῑῩ5.52̰
╵Y⒔X vO῏₾̯₰※RRRR vC0 R
⎆^RX[RR῎Ῡ5.30̰
Ξ idc(0)R[RRR ZCS ̯̓⃉₝₶R
R
RR
L dc
i (0 )
M dc
RωRRκ☰RRR῎if RῩ5.13̰ RR
R
R_ RRR῎
dc
Z✰✺ ̯̓⃉₝₶RRRR̯̓⃉₝₶
if ≥
RR
R
R⌅
Ξ vC0(0)
RRRR῏₾̯₰※RRRR idc R
RR῎RRRῩ5.46̰ῠῩ5.48̰῏Ῡ5.50̰
RRR῏vO R[RR ZCS ̯̓⃉₝₶
RYZ⒅R
RR῎RRR΋ 5.16 R
R῎
Ῡa̰R LdcῑLf R
⎆^R₲⃅₽̯̓RRR
R [ΞRRR῎vC0(0)R-750V῏Ldc῏Lf R
R vO R[RR ZCS ̯̓⃉₝₶RRR idc(0)
⒢R 0.95 RRR῎ ͂⃅₶RY[RaXR ZCS
̯̓⃉₝₶RYαRRR῎vO R[RRRRR ZCS ̯̓⃉₝₶RYαR idc(0)R
[ΞR[R
RRR῎RRR῏vO R[RRRῩ5.13̰
⋱_[]
RR if R[RRRRRR῏Ῡ5.12̰
R⒔aZ_RΗYR RRRRRRR XRR῎vO R 200V R
Ῡa̰
⎆^R[RR vO̱idc(0)]Z
- 135 -
RR῏RR
⎆^RRR
Ῡb̰vC0(0)R[RR vO̱idc(0)]Z
΋ 5.16ῒZCS ̯̓⃉₝₶YαaX
RR idc(0)R
[ΞRX␼RR῎RRRR῏Ῡ5.12̰
RRRRRRRR῎Z
RRRλ 5.1 R
RRR῏ ZCS ̯̓⃉₝₶RYαRRR
Ῡb̰R vC0(0)R₲⃅₽̯̓RRR
RR῎LdcῑLf R
R
⎆^R
R k1 R
⎆^RX[RR
[⒔aR idc(0)RⒷRR
῏vO R⏁aXR
RRR῏1.13 RRR῎
R vO R[RR Z✰✺ ̯̓⃉₝₶RRR idc(0)R
⎆^R›῏Ldc῏Lf R
RR
RYR῏vC0(0)R[RRRRR ZCS
[ΞR[RRRR῎RRR῏vC0(0)RΗYR if R
RRR῎RR]ZRZRRR῏vO R
[ΞR
⒢R 0.95 RRR῎Ῡa̰R]ϐR ͂⃅₶RY[
RaXR ZCS ̯̓⃉₝₶RYαRRR῎Ῡa̰R
̯̓⃉₝₶RYαR idc(0)R
῏Ῡ5.13̰
RR vC0(0)RY♸]
⑆R_
ϏRRRR
RRRR῏RR
aRͿΧRYαRRR῎
Ῡ‾̰
a⒔XYR
΋ 5.17Ῡa̰R ARCC-CSI R
R
RRR῏
a[XΖ_ⒷYY♸῏Ῡb̰R
a₠⃉₮⃉₢ CL R⒔X vout
a⒔a iout῏CL R⒔a iCL῏╵Y⒔a iLoad R₶ₚ̯₣΋R
Ῡa̰XΖ_ⒷYY♸
Ῡb̰
΋ 5.17ῒARCC-CSI R
a⒔aῑ⒔XR₶ₚ̯₣΋
a[ⒷYY♸R₶ₚ̯₣
- 136 -
R῎voutῑiLoad
R
⒢θR╵YRaa RRR῎iout῏iCL῏iLoad R
i out = i CL + i Load
R
R
R῎Z
ῑῑῑῩ5.53̰
aR m RRRR῏iout R
1
mi sinωt
2 dc
RλRRRRRRR῎Ῡ5.53̰
i out =
ῑῑῑῩ5.54̰
῏Ῡ5.54̰
RR_R╵Y⒔X vout R[RR῏`╵Y
v out =
R
RR῏m῏idc RX\RRRR῏╵Y⒔aR
[RRR῎`╵Y
mi dc
1
i out dt =
cos ωt
CL
2ωC L
∫
ῑῑῑῩ5.55̰
RRR῎Ῡ5.53̰ ῏Ῡ5.54̰ ῏Ῡ5.55̰ RRR
a⒔XRλYRR῏⒔
\
R vout R
⒔XR[RR vout RZ
RR
⒔XR
a⒔X]ZR΋ 5.18 R
ΞR^R
X^RRR
R῎
R
RR῎
ῑῑῑῩ5.56̰
΋ 5.18Ῡa̰R╵Y⒔a iLoad R[RR
R_YRRR῎iout R\ZRῩ5.54̰
R῎RR iout R[RRR῏iLoad R
iLoad R iLoad RⒷRRΧRR
X^]ZRRR῎╵YRaaR 0.85 X\RR῏iout
RRRR idc RRR m῏RRRRRRa_R_YRR
RRR
X^R[RR῏iLoad R[RRR
X^R RR῎
X^R̓͆RRR῏╵Yₗ⃉₵̯̓⃉₦R̓͆῏iLoad R̓͆R
ΧRR╵Yₗ⃉₵̯̓⃉₦RΏ῏RRRR`╵YRRR῎RR]ZRRR῏Β RRRRR῏
`╵Y
R
X^R [RRRRRR`RRR῏RRΞR iout RX[RRRRR_RR῎Ῡb̰
Ῡa̰
a⒔a iout R[RR╵Y⒔a iLoaḏ
- 137 -
X^]Z
Ῡb̰╵YRaa
θR[RR╵Y⒔a iLoaḏ X^]Z
΋ 5.18ῒARCC-CSI R
R῏╵YRaa
θR_YRRR R╵Y⒔a iLoad R[RR X^]ZRRR῎iout R 10A X
\RRR῎╵YRRR⒔]
R 0̲R
a⒔X]Z
῏╵YR\
RRRR\
RΕ\RRRRRR῏␾RaaRRR
RR῏θR 90̲R
Rₗ⃉̓͂̓⃉₦RR῏RR
RR῎ θ
R\
RR
Rₗ⃉̓͂̓⃉₦R\aY♸RRR῎RRθR[RRR῏Ῡa̰ R]ϐR῏iLoad R
RRR
X^R[RR῏iLoad R[RRR
ΞR╵Y
X^R
Raa῏iout R[RRRRRR῏`╵Y
RR῎X
R]ZRR῏
⒔XYR
R⒔XR῏RR[RRR iout R[RRRX[RRR
RRRRR῎
5.3 ]ZλY
Y♸
5.3.1
Z
΋ 5.19Ῡa̰R ARCC-CSI R
RR₢ₗ͆₦̓
₤₦₭₼῏Ῡb̰R
R╘RRR₦ₗ₪₨⃉͂⏎
R
R῏RRRR
Y♸
ZR
_a̓ₗ₝̯₰╦R IGBT
R\aR̓ₗ₝̯₰RZ[RRRRRRR῎IGBT R 2 in 1 ₾₥⃁̯͆R
RRΧZRXRR₦ₗ₪₨⃉͂⏎
☪RR
₦ₗ₪₨⃉͂⏎
R☪RR῎PWM Έ
☪R῏Ῡb̰RR
※RR 1 RR₾₥⃁̯͆RRR῎Y♸\⎆Rλ 5.2῏
Rλ 5.3 R
RRRRΈ
R῎ Ῡa̰RR
⓻Ῡ
RR῎^⏭⓻RRRRRRR⓻R_⒜
R῎Ldc῏Lf R CC-SS-CSI R
☪RRRRR]RRR
Ζ̰R DSPῩTMS320C31῏40MHz̰R☪RR
ZRR͂ₙ⃉̓Y♸RRRR^ZRR῏Έ
Z
⓻R^
RRRRR PWM Έ R]RRR῎₟̯₯₰⃅ₗ̈́R₶ₜ₯͂₸⃅][₟̯₯₰⃅ₗ̈́ IC
- 138 -
Ῡa̰
₤₦₭₼
Z
Ῡb̰
R
Z
Y♸
΋ 5.19ῒARCC-CSI R
- 139 -
₤₦₭₼
Z
λ 5.2ῒY♸\⎆
\a⒔X E
^⏭⓻
CLῩXΖ_̰
200 [V]
⓻⎆ 10 [kHz] Ldc῏LfῩndcῒnf̰ 450 [µH]Ῡ1ῒ1̰
Cdc
4000[µF]
C0
λ 5.3ῒ ARCC-CSI R
IGBT
S1ῠS6
CM75DY-24Ῡ
2 [µF]
☪RR₦ₗ₪₨⃉͂⏎
╌⒔
Z̰
\a̓ₗ₝̯₰ RM50CA12-SῩ ╌⒔
Th1, Th2
50[µF]
Z̰
\
⒔X 1200[V]῏\
⒔a 75[A]
\
⒔X 600[V]῏\
⒔a 50[A]
IGBT
\a̓ₗ₝̯₰ CM150DY-24HῩ
╌⒔
\ ⒔X 1200[V]
Z̰
\ ⒔a 150[A]
D1, D2
Sin
2MBI150-120Ῡ╪ ⒔
Din
RM50CA12-SῩ
ῩM57957L῏
R῏\
╌⒔
Z̰R
╌⒔
Z̰
Y♸RZ
RYRR╪
⒔ Z
\
⒔a 150[A]
⒔X 600[V]῏\ ⒔a 50[A]
Y♸RRZ΂RR῎╵YR\
Ζ̓ₗ₝̯₰₷͆₪₥Za
R῏
R Y
Z
Ζ 200V RR☛
6RI50E-80Ῡ\ ⒔X 800V῏
₠⃉₮⃉₢ Cdc RRRZaRRRRRRR῎\a͆⃉͂⒔a idc R
\
⒔a 50A̰RRR_
Z
R῏₾̯₰‽RRRR῏
⍟Y♸R⒔a if R
R῏if R_R[RR
R῏RRRϏRZ\RR if R
RR Sin R₝₶῏RRRRR
₭͆₤₦₠⃉₲̯͆̓RRRR Sin R₦ₗ₪₨⃉͂Έ R
5.3.2
⒔X 1200[V]῏
\
ΞRY_RRRRRRRR῎₨⃃₪₲R]aRRR\a⒔
]⒔X\Z
RR^
☪R῏
Z̰ \
₦ₗ₪₨⃉͂]ZR
΋ 5.20 R ARCC-CSI R ⏎
aΞ if*
RR₝⃉RRRRR῏₳₦
ZRR῎
a]Z
⒔Xῑ⒔a⓻
R
RR῏Ldc R⒔X vLdc῏
R῎Ῡa̰R῏
Lf R⒔X vLf῏C0 R⒔X vC0῏Ldc R⒔a idc῏Lf R⒔a if῏Ῡb̰R
RR Th1 R⒔X vTh1῏D1
R⒔X vD1῏vC0῏Th1 R⒔a i1῏Th2 R⒔a i2῏idc RRR῎D1῏D2 R̯̓⃉₝₶\ R C0 R
RR]ZR╗☜ₗ⃉̓͂̓⃉₦R
R
RR
ϓ\RRY♸R]
΋ 5.21 R
⒔a
ZR
⍟RRR⍟]R i1 ῏ i2 R
RRRRΧR
RR῏5.2.3
RRRRRRR_RR῎
₦ₗ₪₨⃉͂⏎
R⒔aRRR⒔X⓻
῏΋ 5.22 R₦ₗ₪₨⃉͂
R⒔Xῑ
R῎Ῡa̰R S1῏Ῡb̰R Th1῏Ῡc̰ R D1 ῏Ῡd̰R Sin RRR῎ S1῏Sin R̓
̯⃉₝⃉ῑ̯̓⃉₝₶RRR ZCS῏Th1 R ZCS ̯̓⃉₝⃉῏ZVS ̯̓⃉₝₶῏D1 R ZVS ̓
̯⃉₝⃉῏ZCS ̯̓⃉₝₶R]
₯₦ₗ₪₨⃉͂R
⓻⎆ 60Hz῏╵Y\
]a[₦ₗ₪₨⃉͂⏎
ⓦRR῏⏁RR₦ₗ₪₨⃉͂⏎
R̓₶
RR῎
΋ 5.23 R ARCC-CSI R
a
RRRRRRR
aZ ⒔XRRRΖ⒔a⓻
RXΖ⒴RR 31.3S῏Z
Sin R R₝⃉RRR
- 140 -
R
R῎⒔
⒔XR\a 200V῏
a m R 0.6 RRR῎Ῡa̰R῏΋ 5.15 R
῏Ῡb̰R
⍟Y♸R a⒔a
aΞ if*R
Ῡa̰Ldc῏Lf R⒔Xῑ⒔aRRR vC0
Ῡb̰Th1῏D1 R⒔Xῑ⒔aRRR vC0῏ idc
΋ 5.20ῒARCC-CSI R
⏎
- 141 -
⒔X῏⒔a⓻
Ῡa̰S1 R⒔Xῑ⒔a⓻
Ῡb̰Th1 R⒔Xῑ⒔a⓻
- 142 -
Ῡc̰D1 R⒔Xῑ⒔a⓻
Ῡd̰Sin R⒔Xῑ⒔a⓻
΋ 5.21ῒARCC-CSI R
⏎
- 143 -
⒔X῏⒔a⓻
Ῡa̰S1
Ῡb̰Th1
- 144 -
Ῡc̰D1
Ῡd̰Sin
΋ 5.22ῒARCC-CSI R⒔Xῑ⒔a Z
- 145 -
Ῡa̰idc Z
RR
Ῡb̰idc Z
΋ 5.23ῒARCC-CSI R
30A RRR
RRR῎RRRR
R῏Ῡb̰RR῏
΋ 5.24 RZ
╵Y\
i2 R
aZ ⒔X
Y⒔XRZ
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R
RRY⒔ῑ₾̈́ₗ͆
Rₛ̯̈́͆͂
ϙ D῏Vol.124῏No.11῏pp.1087-1093῏2004
] ̯ͅ₼₻̯₥῏http://toyota.jp
̰‼̰ H. Ishikawa and Y. Murai, “A New Series Resonant DC-Link AC/AC PWM Converter”,
IEEE Trans. on Industry Applications, Vol. 35, No. 6, pp. 1433- 1439, 1999.
̰‽̰ H. Ishikawa and Y. Murai, “A New Series Resonant DC Link PWM Inverter”, Record of the
29th Annual IEEE Power Electronics Specialists Conference, Vol. 1, pp. 436-442, 1998.
̰‾̰ H. Ishikawa and Y. Murai, “Output Characteristics of a New Series Resonant DC Link
AC/AC PWM Converter”, Conference Record of the 1999 IEEE Industry Applications
Conference, Vol. 3, pp. 2025 -2030, 1999.
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΃☪╺`⏁ [Y ⌝ϙ_ ̰IḬ, No.183, pp.27-30, 1999.
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- 156 -
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- 157 -
6.2 ̓₶₯₦ₗ₪₨⃉͂⒔a_
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RR̓₶₯₦ₗ₪₨⃉͂ₗ⃉̯̈́̓R῏RRRRY♸_
- 158 -
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- 159 -
ῑ IGBT RR₝⃉⒔XR\R῏
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- 160 -
λ 6.1ῒHS-VSI R SS-VSI R₦ₗ₪₨⃉͂⏎
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`₶ₚ⃅ₗ₯₠ₕ῰
῏NEC-TOKIN͂̓͆͂῏http://www.nec-tokin.com/
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῰
῏⒔
ϙD῏Vol. 124῏No. 4῏
pp. 380-387῏2004
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̰›‼̰A. M. Omar, N. A. Rahim, and S. Mekhilef, “Three-Phase Synchronous PWM for Flyback
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Industrial Electronics, Vol. 51, No. 1, pp. 96-106, 2004
̰›‽̰Y. S. Lai, F. S. Shyu, and Y. H. Chang, “Novel Loss Reduction Pulsewidth Modulation
Technique for Brushless dc Motor Drives Fed by MOSFET Inverter”, IEEE Transactions on
Power Electronics, Vol. 19, No. 6, pp. 1646-1652, 2004
̰›‾̰
⒓
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☪98.5%
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Vol. 120-D No. 7
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H. Ishikawa, Y. Murai, “A New Series Resonant DC Link PWM Inverter”, Record of the 29th Annual
IEEE Power Electronics Specialists Conference, Vol. 1, pp. 436-442, 1998.
H. Ishikawa, Y. Murai, “Output Characteristics of a New Series Resonant DC Link AC/AC PWM
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AC/AC PWM
4
, No.811, pp.137-138, 1999.
11
11
PWM
II
D Vol. 120-D No. 3
, No.183, pp.27-30, 1999.
pp. 319-327
D Vol. 123-D No. 3
2000.
pp. 301-307
B Vol. 124
2003.
pp. 1087-1092
2004
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D Vol. 124
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D Vol. 125-D
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2005
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1993.
No. 1044 pp.
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67-68
II
No. 148
pp. 21-24
1996.
SR
4
No.889
pp.169-170 1997.
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10
No.1019 pp.60-61 1998.
10
No.190
III
pp21.-24 1998.
11
SR
, No.1000, pp.437-438, 1999.
4
SRM
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SRM
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SRM
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14
14
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dp/dv
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