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(1)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻡㻥

৔ ઍ

੎ਗ਼嵉嵤崓峑ඞ岰૴৬ਃஓ ৫৅峕ણ৷峃峵()'&)'

嵣崧嵤崻嵛৫৅峘হ୻

嵣਷੤৫৅峘হ୻

嵣௯੤৫৅峘হ୻

()'&)'੆়峕ৌ峃峵਋ୄ峘峨峒峫

© 2015 Toshiba Corporation

੎ਗ਼嵉嵤崓峕岴岻峵()'&)'峘ણ৷峒

ୖ਻岴峲峝੆়ૼ୒峕ৌ峃峵਋ୄ峕峎岮峐

ઙૄভ঺ ূ൫ ਗ਼ৡ嵣঺ভ崟崡崮嵈ૼ୒৫৅崣嵛崧嵤 ৚ૡਃஓ৫৅৖ ৗ崐崵嵓崖嵣৅ਗ਼ਃஓૼ୒૿ਊ

৔ি ໄຨ

© 2015 Toshiba Corporation

(2)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻢㻜

© 2015 Toshiba Corporation

4 ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

੎ਗ਼嵉嵤崓峑ඞ岰૴৬ਃஓ

ਉ৕ৡ ਷ৡ ௯ৡ

Ⴊਞ崧嵤崻嵛67 崔崡崧嵤崻嵛*7

ౌৡ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਉ৕ৡ ਷ৡ

Ⴊਞ崧嵤崻嵛67 崔崡崧嵤崻嵛*7

ౌৡ

৔৖૴؜ਞั੸ৼ

ਗ৖૴؜౐ৼ

௯ৡ

ਗ৖૴؜౐ৼ

© 2015 Toshiba Corporation

3

৔ ઍ

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

੎ਗ਼嵉嵤崓峑ඞ岰૴৬ਃஓ ৫৅峕ણ৷峃峵()'&)'

嵣崧嵤崻嵛৫৅峘হ୻

嵣਷੤৫৅峘হ୻

嵣௯੤৫৅峘হ୻

()'&)'੆়峕ৌ峃峵਋ୄ峘峨峒峫

(3)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻢㻝

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ూବ عႪਞ崧嵤崻嵛ع

y ൜಼岵峳ফ岶৽ૌ峁峲岰峒峁峐岮峵؝ਉ৅༎௮૨଩ৣ峘峉峫 ਗ਼ৡ୹ஔ峙ౌৡ峢崟崽崰峁峉૾ய岶ਢ岷ౌৡ৅ਗ਼ਃஓ峘஍૨

਱঱岶జਟਰ঱峕ਘ岹੷峫峳島峐岮峵؝

y Ⴊਞ崧嵤崻嵛峙଩ಓ஺૳৔峑ਞั੸ৼ૴峒峔峍峐岮峵؝

y ਷ᅙ峕କ౤峃峵௤ଷ峙ਞั੸ৼ૴ச峮਷ᅙྫྷ峕峲峍峐৒ଝ岿 島؜岽峘ဒ峴௤ଷ峙崧嵤崻嵛৸৬峘௤ଷ峘સங২峒శଞ峕প 岷峔સ়峼ಚ峫峵峒峒峬峕؜ྎ࿠୫峼ਬ岷କ岽峃ਉ౤峕峔峍峐岮 峵؝

y ௤ଷ଩੖峘峉峫峕ྎ਀એ峘ัဿ௴௄؜ਞั੸ৼ૴ச岴峲峝

਷ᅙྫྷ峼ถ಍峕ੑ೾峃峵হ岶ா峫峐੎ਏ峑岬峵؝

ST

© 2015 Toshiba Corporation

5

৔ ઍ

崧嵤崻嵛৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

੎ਗ਼嵉嵤崓峑ඞ岰૴৬ਃஓ ৫৅峕ણ৷峃峵()'&)'

嵣崧嵤崻嵛৫৅峘হ୻

嵣਷੤৫৅峘হ୻

嵣௯੤৫৅峘হ୻

()'&)'੆়峕ৌ峃峵਋ୄ峘峨峒峫

਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

(4)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻢㻞

© 2015 Toshiba Corporation

8

6FKHPDWLFRIWKH3,9SUREH

9LHZ angle Light sheet

Laser EHDP

0HDVXUHPHQW area

Borescope Purge air

Cover glass Cylindrical lens REOLTXH laser VKHHW

=RRP up Light sheet

&DPHUD PRXQW

Laser head PRXQW

0HDVXUHPHW aerea

3,9崿嵕嵤崾

PP

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ٷ嵑崌崰崟嵤崰୾৾௺峒嵄崊崡崛嵤崿峼ম峘崿嵕嵤崾৔৖峕ଡਛ峁 峉3,9崿嵕嵤崾峼৫৅

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

ST

Loss = f(ܸ , ܸ , d)

Measure PIV SUREH

Measure pitot SUREH

嵣:DWHUGURSOHWDVDWUDFHU

嵣%XLOWLQWKHOLJKWVKHHWRSWLFVERUHVFRSHDQGDLUSXUJH 嵣1RQHHGRSWLFDOD[LVDGMXVWPHQW

嵣0HDVXUHPHQWDUHDLVVHSDUDWHGIURP3,9SUREH

© 2015 Toshiba Corporation

7

Large size droplets(20㹼300njP Blade

Nozzle

Condensation Adhesion

6WHDPIORZ

Gas-OLTXLGWZR-SKDVHIORZVLQVWHDPWXUELQH

Ⴊਞ崧嵤崻嵛৔峘ਞั੸ৼ૴

Water VWUHDP ILOP

6PDOO size droplets(㹼0.1njP

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

ST

L0 L1 L2 L3

(5)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻢㻟

0 30 60 90 120 150

0.1 1 10 100 1000

d [ȝP@

v

l

> P V @

YJ >PV@

YJ >PV@

YJ >PV@

(c) Relation between liquid velocity and droplet size

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8

1 10 100 1000

G>ȝP@

6 >@

YJ >PV@

YJ >PV@

YJ >PV@

(d) Relation between slip ratio and droplet size

d C

l

C e

v

1 2

Vg>PV@ C1 C2

10 10.07 -0.00102 30 32.66 -0.00259 125 136.20 -0.00423

d

e

C

C v v

S

g l 4

3

g g

v C

v C

ln 001267 . 0 00184 . 1 00184 . 1

4

00127 . 0 3

ਞৼ嵣ัৼ૴ச؜၄ྫྷৼঢ়ૄ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ٷ3,9崿嵕嵤崾峙崧嵤崻嵛৔峘ัৼ૴சੑ೾岶૭ચ峑岬峵峒ુ峕؜

ਞৼ૴ச峒ัৼ૴ச岴峲峝၄ྫྷ峘ঢ়બૄ岵峳၄ྫྷ岶௓৒

ST

© 2015 Toshiba Corporation

9

0 1 2 3 4 5 6 7 8 9 10

2.5 12.5 22.5 32.5 42.5 52.5 62.5 72.5 82.5 92.5

'URSOHWVL]H>ȝP@

)UHTXHQF\>@

0 10 20 30 40 50 60 70 80 90 100

0 20 40 60 80 100 120 140

9HORFLW\>PV@

)UHTXHQF\>@

0 1 2 3 4 5 6 7 8 9 10

2.5 12.5 22.5 32.5 42.5 52.5 62.5 72.5 82.5 92.5

'URSOHWVL]H>ȝP@

)UHTXHQF\>@

0 10 20 30 40 50 60 70 80 90 100

0 20 40 60 80 100 120 140

9HORFLW\>PV@

)UHTXHQF\>@

0 1 2 3 4 5 6 7 8 9 10

2.5 12.5

22.5 32.5

42.5 52.5

62.5 72.5

82.5 92.5 'URSOHWVL]H>ȝP@

)UHTXHQF\>@

0 10 20 30 40 50 60 70 80 90 100

0 20 40 60 80 100

120 140 9HORFLW\>PV@

)UHTXHQF\>@

v

g

=125[m/s]

v

g

=30[m/s]

v

g

=10[m/s]

v

g

=125[m/s]

v

g

=30[m/s]

v

g

=10[m/s]

(a) Droplet size distribution (b) Liquid velocity )ORZ

Pitot WXEH

Laser EHDP 7UDQVPLWWHr

Receiver

:LQGWXQQHOH[SHULPHQWDOVHWXS

ਞৼ嵣ัৼ૴ச؜၄ྫྷৼঢ়௬੼૥ୡ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼7৚EFD/CFD੆়嵗嵤崗崟嵏崫崿

ST

(6)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻢㻠

© 2015 Toshiba Corporation

12

L

0

Blade

L

0

Nozzle PIV SUREH

Light sheet

Light sheet

6WHDPIORZ 6WHDPIORZ

Z Y Z

X

Root Tip SUREH

eet

Light

6 6 6W

Ro T T

Xc Xt

0HDVXUHGSDUDPHWHUV unit Case1 Case2

Pressure MPa 0.007 0.006

Moisture % 3.4 5.4

Velocity V

’

PV 314 322

5H\QROGVQXPYHU Re=V

’

:HYHUQXPEHUWe=ȡ(v

g

-v

l

)dı

3.1

™

10

5

1㹼10

2.7

™

10

5

1㹼10

3RVLWLRQRIWKH3,9PHDVXUHLQJ-axis traveses EHKLQGWKHODVWVWDJH1R]]OH

Steam turbine test condition

L䠖chord length䠈Ǎ䠖kinematic viscosity䠈ǐ䠖density䠈IJ䠖surface tension

଩ಓ崧嵤崻嵛৔峘3,9ੑ೾峒૥ୡ૖੯

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

ST

© 2015 Toshiba Corporation

11

Traverse 6\VWHPV

PIV SUREH Bore SUREH Pitot WXEH

Measurement instrument setup for actual size steam LP Turbine

଩ಓ崧嵤崻嵛ੑ೾

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

ST

(7)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻢㻡

0 2 4 6 8 10 12 14 16 18 20

0.00-0.03 0.12-0.15

0.24-0.27 0.36-0.39

0.48-0.52 0.61-0.64

0.73-0.76 0.85-0.88

0.97-1.00 1.09-1.12

1.21-1.24 1.33-1.36 99䌲>@

)UHTXHQF\>@

0 2 4 6 8 10 12 14 16 18 20

0.00-0.03 0.13-0.16

0.25-0.28 0.38-0.41

0.50-0.53 0.63-0.66

0.75-0.78 0.88-0.91

1.00-1.03 1.13-1.16

1.25-1.28 1.38-1.41 99䌲>@

)UHTXHQF\>@

0 2 4 6 8 10 12 14 16 18 20

0.00-0.03 0.12-0.15

0.24-0.27 0.36-0.39

0.48-0.52 0.61-0.64

0.73-0.76 0.85-0.88

0.97-1.00 1.09-1.12

1.21-1.24 1.33-1.36 99䌲>@

)UHTXHQF\>@

0 2 4 6 8 10 12 14 16 18 20

0.00-0.03 0.13-0.16

0.25-0.28 0.38-0.41

0.50-0.53 0.63-0.66

0.75-0.78 0.88-0.91

1.00-1.03 1.13-1.16

1.25-1.28 1.38-1.41 99䌲>@

)UHTXHQF\>@

/LTXLGYHORFLW\GLVWULEXWLRQEHKLQGWKHODVWVWDJH1R]]OH

ัৼ૴சੑ೾੥ટ

0 2 4 6 8 10 12 14 16 18 20

0.00-0.03 0.12-0.15

0.24-0.27 0.36-0.39

0.48-0.52 0.61-0.64

0.73-0.76 0.85-0.88

0.97-1.00 1.09-1.12

1.21-1.24 1.33-1.36 99䌲>@

)UHTXHQF\>@

0 2 4 6 8 10 12 14 16 18 20

0.00-0.03 0.13-0.16

0.25-0.28 0.38-0.41

0.50-0.53 0.63-0.66

0.75-0.78 0.88-0.91

1.00-1.03 1.13-1.16

1.25-1.28 1.38-1.41 99䌲>@

)UHTXHQF\>@

X/Xt= -0.34㻌 㻌 㻌 㻌 㻌 X/Xt= 0.00 X/Xt= 0.35

wetness=3.4%

wetness=5.4%

↓ḟඖ⩼㧗䛥఩⨨<<K

↓ḟඖ㍈᪉ྥ఩⨨==F

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ST

© 2015 Toshiba Corporation

13

Trailing edge

:DWHU6WUHDPV

Water ILOP.

(Large size droplets are DWRPL]HG IURP pooled ZDWHU

Water 6WUHDPV on the L 0 Nozzle 6XUIDFH

଩ಓ崧嵤崻嵛৔峘૭ଳ৲峒3,9ੑ೾੥ટ

Tip side

Root side

99’

1.0 0.75 0.5 0.25 0.0

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

ST

(8)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻢㻢

© 2015 Toshiba Corporation

16

0 20 40 60 80 100 120 140

-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1

;;W

G>ȝP@

droplet size: wetness=5.4%

droplet size:wetness=3.4%

ৼঢ়ૄ峼৷岮峉၄ྫྷ峘੒೾੥ટ

'URSOHWVL]HGLVWULEXWLRQEHKLQGWKHODVWVWDJH1R]]OH

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

䕺⩼ᚋ⦕䛛䜙ᄇ㟝䛥䜜䜛⢒኱Ỉ⁲䝃䜲䝈䛿⩼㛫⵨Ẽ䛻஌䛳䛯Ỉ

⁲䝃䜲䝈䜘䜚䜒኱䛝䛔䛣䛸䛜᫂䜙䛛䛸䛺䛳䛯䠊

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

ST

X/Xt

d[ njP ]

© 2015 Toshiba Corporation

15

9HORFLW\GLVWULEXWLRQEHKLQGWKHODVWVWDJH1R]]OH

ਞৼ嵣ัৼ૴சੑ೾ૻຎ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

ST

0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2

-1 -0.5 0 0.5 1

;;W 9 9

g

YJYJ䌲:wetness=5.4%

YJYJ䌲: wetness=3.4%

YOYJ䌲: wetness=5.4%

YOYJ䌲: wetness=3.4%

(9)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻢㻣

৔ ઍ

੎ਗ਼嵉嵤崓峑ඞ岰૴৬ਃஓ ৫৅峕ણ৷峃峵()'&)'

嵣崧嵤崻嵛৫৅峘হ୻

嵣਷੤৫৅峘হ୻

嵣௯੤৫৅峘হ୻

()'&)'੆়峕ৌ峃峵਋ୄ峘峨峒峫 崧嵤崻嵛৫৅峘হ୻

਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

© 2015 Toshiba Corporation

17

崧嵤崻嵛৔ਞั੸ৼ૴峘()'&)'ୖ਻峒਋ୄ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

EFD CFD

ୖ ਻

ਞั੸ৼ૴ச峒਷ᅙྫྷ峼৊ৎੑ

೾峃峵ু஺岶૮岮؝శ෶๷嵣శம ඡੑ೾岶൑୔峔峉峫ੑ೾崿嵕嵤崾 峘୶஭岶৅ে؝崧嵤崻嵛৔峕৻਀

岿島峵৔৖૴໭৵૬৑ੑ೾峕峙 த৵஑崿嵕嵤崾峘৫৅岶૑ਏ؝

ਞั੸ৼ૴র峘ัᅙᅼೠ岝ীຝ岝

়৬峮ਞั৑峘೸ઐఌ峼ൣ岰ਠ଴峘 嵊崯嵓৲؝

ྎ岝崙嵤崟嵛崘਀એ峼૴৿峃峵ัৼ ق਷ဿك଱৿峘嵊崯嵓৲؝

੆়ૼ୒峢峘਋ୄ

ৰ೾੥ટ峼੟৶嵊崯嵓৲峁؜&)'峢ৰಎ؝

()'ૼ୒峢峘਋ୄ

ਞั੸ৼ૴র峕岴岮峐

૴ச峒਷ᅙྫྷ峼৊ৎੑ೾峃峵ু஺峘৫৅؝

363ੑ೾؜૬৑ആ২؜૬৑ಓৡ峘એੑ೾ૼ୒峘৫৅؝

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(10)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻢㻤

© 2015 Toshiba Corporation

20

'UDIWWXEH

Runner Stay vanes Guide vanes

Generator

%DFNJURXQG& Goal

(IIHFWLYHXVHRIK\GUDXOLFHQHUJ\

㸨+LJKHIILFLHQF\

㸨/RZOHDYLQJORVVIURPGUDIWWXEH 3 LJǐ4J+ LJǐ4J+-9AJ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

© 2015 Toshiba Corporation

19

ూବ ع਷੤ع

y ગে૭ચ崐崵嵓崖峒峁峐ଽ岹岵峳ઞ峹島峐岮峵਷ৡ৅ਗ਼ 峙岝੺ফ岝崊崠崊嵣વ৪峔峓਷ৱ౺岶௹୕峔৉ୠ峑প ૠெ৫৅岶ਤ峫峳島峐岮峵؝ব৔峑峬ใਝ਷ৡ৅ਗ਼ ਚ峘ৈলৡ৲崳嵤崢岶ੜ岲峐岮峵؝

y ਷੤ਙચ௬੼峼ৰୡ峒ੰෲ峕峲峴ৰ઱峁岝৫৅਋৑峘 ಢೠ৲峕峲峍峐৫৅଼ଥৡਘ৲؝

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

Sadao KUROSAWA, Turblent Flow Simulation for the Draft Tube of a Kaplan Turbine, 23rd IAHR Symposium,2006

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

&)'%OLQG%HQFKPDUN

Lulea 8QLYRI7HF7XUELQHZRUNVKRS

(11)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻢㻥

3UHGLFWLRQRI'UDIWWXEHIORZ"

7DUJHWFKDUDFWHULVWLF"

㸨Pressure recovery 㸨

㸨)ORZILHOG 㸨

㸨3UHVVXUHIOXFWXDWLRQ

7XUEXOHQFHPRGHO"

RANS

anisotropy 㸧 㸧 㸨

㸨LES 㸨 㸨DNS

,QOHWERXQGDU\FRQGLWLRQ"

5XQQHULQWHUDFWLRQHIIHFW

㸨7LPHDYHUDJHG%&

Angular resolved B.C. *ULGTXDOLW\"

1XPHULFDOVFKHPH"

16HTWHUP·VVFKHPH

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

© 2015 Toshiba Corporation

21

Goal

Flow analysis technology development that can be predicted the draft tube flow exactly

)ORZILHOGLQ'UDIW WXEH

Vortex rope

High Re QXPEHU㸦

㸦10^6㸧㸧

6ZLUOIORZ

%HQGIORZ

'LIIXVHUIORZ Unsteady

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

Cavitation

anisotropy

(12)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻣㻜

© 2015 Toshiba Corporation

24

7DUJHWIRU'UDIW7XEHDQG([SHULPHQW

6FKHPDWLFRIWKHGDIWWXEHZLWKWKHPHDVXUHPHQWFURVVVHFWLRQV

%HVWHIILFLHQF\

2SHUDWLRQDOPRGH

60% load propeller curve

7KHVHWWLQJRIWKHWHVWULJ Unit runner speed 140 8QLWIORZ 5XQQHUGLDPHWHUPP 7HVWKHDGP Cross section Ia

&6,E C.S. II

C.S. III

&6,9D E

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

© 2015 Toshiba Corporation

23

&RPSXWDWLRQDOapproach

No 1 2 3 4 Governig Eq. RANS LES

7XUEPRGHO &XELF k- İ56060'60 Discretization FVM FEM

Convective QUICK 2 rd order Explicit 7HUP¶V6FKHPH6WUHDPOLQH8SZLQG Transient 2 rd order Explicit 7HUP¶V6FKHPH 䠄7LPHGXUDWLRQVHF䠅 1XPHULFDO6LPSOH$%0$&

$OJRULWKP

1 2 3 4

6HOHFWLRQRI7XUE0RGHOVXLWDEOHIRU

SUHGLFWLRQRIWLPH -averaged characteristic

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(13)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻣㻝

Boundary condition

1RVOLSZDOO Pressure outlet

Velocity inlet :DOOIXQFWLRQ

GM2 GM1

$[LDOFRPS 7DQJHQWLDOFRPS

PV

,QOHWYHORFLW\GLVWULEXWLRQ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

© 2015 Toshiba Corporation

25

&RPSXWDWLRQDOJULG

GM2 GM1

7RWDOQXPEHURI grid points : 7RWDOQXPEHURI

grid points :

G Cells

6NHZQHVV4XDOLW\

㸫0LQLPXP)DFH$QJOH!°

㸫0D[LPXP(GJH/HQJWK 㸫

㸫0D[LPXP9ROXPH5DWLR

High

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(14)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻣㻞

© 2015 Toshiba Corporation

28

㻜㻜㻚㻜 㻜㻚㻞 㻜㻚㻠 㻜㻚㻢 㻜㻚㻤 㻝㻚㻜 㻝㻚㻞 㻝㻚㻠

㻜㻜㻚㻜 㻜㻚㻞 㻜㻚㻠 㻜㻚㻢 㻜㻚㻤 㻝㻚㻜

㻸㼑㼚㼓㼠㼔㻌㼍㼘㼛㼚㼓㻌㼃㼍㼘㼘㻓㼟㻌㻯㼑㼚㼠㼑㼞㻌㻸㼕㼚㼑㻌㻔㻙㻕

㻯㻯 㼜 㻌㻔 㻙 㻕

Pressure recovery in central plane

([SHULPHQWXSSHUZDOO ([SHULPHQWORZHUZDOO 5$16&XELFN-ı

RANS/RSM LES/SM LES/DSM

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ٷಓৡ৚୮બਯ峙&)'峘੥ટ岶ৰ೾க峼ଐ岹ெᇍ峁峐岮峵؝

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

© 2015 Toshiba Corporation

27

Axial velocity at Cs-,E

㻙㻙㻝 㻜 㻝 㻞 㻟

㻜㻜 㻡㻜 㻝㻜㻜 㻝㻡㻜 㻞㻜㻜 㻞㻡㻜 㻟㻜㻜

㻾㻔㼙㼙㻕

㻭㻭 㼤㼕 㼍㼘 㻌㼂 㼑 㼘㻚㻌 㻔㼙 㻛 㼟㻕

Cs-Ib .㻌㻌㻌㻌

([SHULPHQW 5$16&XELFN-ı RANS/RSM LES/SM LES/DSM

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ٷ崡嵗嵤嵓峘ਘ岮嵑嵛崲嵤ઉৣ峘ກ૴ச২峙()'峒&)'੥ટ峙嵓 嵤崰৖岝崩崫崿৖峑ଐ岮঳ಱ岶ৄ峳島峔岮؝

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(15)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻣㻟

৔ ઍ

੎ਗ਼嵉嵤崓峑ඞ岰૴৬ਃஓ ৫৅峕ણ৷峃峵()'&)'

嵣崧嵤崻嵛৫৅峘হ୻

嵣਷੤৫৅峘হ୻

嵣௯੤৫৅峘হ୻

()'&)'੆়峕ৌ峃峵਋ୄ峘峨峒峫 崧嵤崻嵛৫৅峘হ୻

਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

© 2015 Toshiba Corporation

29

਷੤৫৅峕岴岻峵峘()'&)'ୖ਻峒਋ୄ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

EFD CFD

ୖ ਻

ᒓᄑუ؜崕嵋崻崮嵤崟嵏嵛峔峓୾৾

ੑ೾岶൑୔峔ਠ଴岶৅ে峁峉ৎ峘

ੑ೾ু১峘৫৅؝

崡嵗嵤嵓峼ൣ岰૴島ৃ峼ੰෲ峃峵ৃ়岝 嵓嵤崰岝崩崫崿৖峼1峎峘ೊ૴嵊崯嵓峑

ெᇍ峃峵হ峙൑୔؝

੆়ૼ୒峢峘਋ୄ

嵣৊৲ু১峼৷岮峐岝ೊ૴嵊崯嵓બਯ峼ଂਚਈి৲峁ৰ೾க峼ৈಖ ২峕ெᇍ؝બਯਈి৲峁峉঱峑ྎ஑ਈి৲؝

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿 㻙㻝

㻜㻜 㻡㻜 㻝㻜㻜 㻝㻡㻜 㻞㻜㻜 㻞㻡㻜 㻟㻜㻜

㻾㻔㼙㼙㻕

㼤㼕㼍㼘㻌㼂㼘㻚㻌㻔㼙㼟㻕

జਟ峘ೊ૴嵊崯嵓 બਯ峼ਹ৷

ೊ૴嵊崯嵓બਯ

ଂਚਈి৲

(16)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻣㻠

© 2015 Toshiba Corporation

32

%DFNJURXQGRIWKHVWXG\

Difficult to generate stable electric power

Wind power

Stable power generation systems are needed.

Active control technique is one of the solution.

Fluctuated natural wind

)ORZVHSDUDWLRQମ&OUHGXFHGମ3RZHUUHGXFHG

-Yaw misalignment -Wind shear -wind turbulence

dir e ction

deg

di i

d

Time(sec)

speed

m/s

Time(sec)

)ORZVHSDUDWLRQRFFXUVZKHQ¬

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

© 2015 Toshiba Corporation

31

ూବ ع௯੤ع

y ગে૭ચ崐崵嵓崖峒峁峐৉೸岝୬഻୾峒嵁崡崰嵇崫崗崡

৅ਗ਼岶਋ୄ岿島峵௯੤峙੺ফব৔峑峬ਯ੗岹଑ো岶 ਤ峫峳島峐岮峵؝

y ௯੤峙മر峒௯਱嵣௯ச岶૗৲峃峵ঽே௯峕峲峍峐৅

ਗ਼峃峵峉峫ྎ਀એ峑峙পૠெ峔ጒ௞岶ে峂峐লৡ଩

ৣ岶କ岽峵؝

y ጒ௞೪਑峘峉峫峕૭৿৖峼ൣ岰૴৬਑౪崯崸崌崡峘ి

৷峼૥峩峵হ୻岶ങৄ岿島峵峬峘峘岝ૹ৷୻峙຦૮؝

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

Hisashi Matsuda, Development of High Performance Wind Turbine using Plasma Actuation Technology, GrandRenewable Energy, 2014

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(17)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻣㻡

3XOVHGPRGXODWLRQIUHTXHQF\DQG'XW\UDWLR

2SHUDWLRQLQXQVWHDG\PRGHSXOVHGPRGXODWLRQPRGH VHSDUDWHGIORZLVFRQWUROOHGPRVWHIIHFWLYHO\

Ex) Post, M.L. and Corke, T.C.(2005) , Göksel, B. et al.(2006) Matsuda,H. et al.(2008) , Mitsuo.K. et al.(2013)

ᴾ ᴾ ᴾ Asada & Fujii (2010), Nonomura et al.(2013)

Matsuda,H. et al,(2008) NACA0015,20m/s

AOA(deg)

Lift coef ficient

Plasma OFF

Plasma ON

Pulese modulated control

F= 15kHz, V= 4.5῍10kV 0p , D=῍10%

ON WLPH

3XOVHGPRGXODWLRQIUHTXHQF\

)XQGDPHQWDOIUHTXHQF\

N+]

2))WLPH Duty = ON time

21WLPH2))WLPH

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

© 2015 Toshiba Corporation

33

3ODVPDDFWXDWRU

Non-WKHUPDOGLHOHFWULF-EDUULHU-GLVFKDUJHG17'%' SODVPDDFWXDWRU

1. UHTXLUHVQRPRYLQJSDUWVPRYLQJSDUWVDOZD\VEULQJVPHFKDQLFDOWURXEOHV 2. LQGXFHVYHU\WKLQMHWIORZFRQWUROVERXQGDU\OD\HUIORZHIILFLHQWO\

3. IXOO\HOHFWULFDQGSURYLGHIDVWUHVSRQVHWLPH

4. FDQODPLQDWHLQWRWKHWXUELQHEODGHVXUIDFHᴾᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ᴾ ( QRDGGLQJGUDJIRUFHLVJHQHUDWHGHYHQLIWKHDFWXDWRULVEURNHQ

5. OHVVHIIRUWUHTXLUHGWRDGDSWZLWKWKHFRQYHQWLRQDOdesign ᴾᴾ

E

Exposed electrode

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(18)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻣㻢

© 2015 Toshiba Corporation

36

(IIHFWRISODVPDDFWXDWLRQRQWXUELQHVSHHG

0 50 100 150 200 250 300 350 400

500 1500 2500 3500 4500

time (sec)

Tur bi ne s peed ( rpm )

Plasma ON Plasma OFF

U=5.5m/s

U=4.5m/s U=6.5m/s

3ODVPDRII7KHEODGHURWDWHVVORZO\ZLWKVWDOO

3ODVPDRQI +]9 N9 0p ' 7KHWXUELQHVSHHGLQFUHDVHV JUDGXDOO\DQGILQDOO\UHDFKHVWRWKHGHVLJQWXUELQHVSHHG

Dž °

Dielectric power=2.85W/m

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

300W㢼㌴

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

© 2015 Toshiba Corporation

35

([SHULPHQWDODSSDUDWXV

PS3-K32B, A-WIng Plasma actuator

Erema resistor (2 Ȑ ) Power source

Slip ring

Generator

PS3-K32B, A-WIng Plasma actuator

Erema resistor (2 Ȑ ) Power source

Slip ring

Generator

Rotor diameter : 1.56m

Turbine rate: 300 W for 12.5m/s Axial distance: 0.77m

Yaw angle: inclined angle of the turbine rotational plane to the wind tunnel axis.

Dummy load: 2 ohm resistor

Changing inlet wind velocity, the turbine speeds were measured for yaw angle of 30 degree for both “plasma off” and “plasma on”

cases.

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

300W㢼㌴

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(19)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻣㻣

3ODVPDDFWXDWLRQVHWXSWLOWPRGH

Control box

Slip ring Power source module

CCD Camera

Tufts Plasma electrode

(Acrylic yarn)

ĮP)L[HGURWDWLRQ

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

30kW㢼 㢼㌴

© 2015 Toshiba Corporation

37

0DVWXOWUDVRQLFDQHPRPHWHU Mast(cup) WTG

Mast (cup anemometer) Main wind direction

Ὁ Diameter: 10m Ὁ Hub height: 13.4m ὉConstant rotation Ὁ 30kW generator Ὁ Tilt-up wind turbine

N:UDWHGZLQGWXUELQH0,(8QLYHUVLW\

July-Aug. 2012

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

30kW㢼 㢼㌴

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(20)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻣㻤

© 2015 Toshiba Corporation

40

5RWRUWRUTXH 3RZHUHQKDQFHPHQW

3ODVPDRQPLQମ3ODVPDRIIPLQ ମ 3ODVPDRQPLQମ¬

Using WKHSODVPDDHURG\QDPLFFRQWUROOHDGLQJHGJHIORZVHSDUDWLRQV ZHUHVXSSUHVVHGDQGDWRUTXHDXJPHQWDWLRQRIZLQGWXUELQHZDV UHDOL]HGDQGSRZHUHQKDQFHPHQWZDVREWDLQHGHYHQXQGHUUHDOZLQG conditions.

Averaged power increase:

570W

Plasma power consumption : about 150W

> 崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

30kW㢼㌴

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

USP

© 2015 Toshiba Corporation

39

180°

90°

270°

7XIWVEHKDYLRU䠄䠄USPIL[HG<DZ䠅䠅

U ᾌᵐᵌᵕᶋᵍᶑẆᵵᵬᵵᴾ ᵐᵎᶐᶎᶋᴾ

UᾌᵐᵌᵕᶋᵍᶑẆᵵᵬᵵᴾ ᵐᵎᶐᶎᶋᴾ

F=15kHz V=5.5kV 0p

St=fc/U=1.0 (@70%spanὸ Duty=10%

Azimuth angle

Lj °ମIDLUZLQGcondition

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崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

30kW㢼 㢼㌴

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

3ODVPD2))

3ODVPD21

(21)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻣㻥

10 11 12 13 14 15 16 17

2 4 6 8 10 12

Rotational speed (rpm)

Wind speed (m/s) Plasma-off Plasma-on

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0 1 2 3 4 5 6 7 8

0-50 100-150 200-250 300-350 400-450 500-550 600-650 700-750 800-850 900-950 1000-1050 1100-1150 1200-1250 1300-1350 1400-1450 1500-1550 1600-1650 1700-1750

Probability (% )

Power (kW)

Plasma-off(kW) Plasma-on(kW)

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崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

1.75MW㢼㌴

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41

Ultrasonic

anemometer

Kagoshima wind-power institute co.,ltd

0:ĮP

7HVWVLWHDQGWHVWZLQGWXUELQH

Power supply

Discharge Electrode (8m×3)

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崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

1.75MW㢼㌴

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

(22)

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44

৔ ઍ

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

੎ਗ਼嵉嵤崓峑ඞ岰૴৬ਃஓ ৫৅峕ણ৷峃峵()'&)'

嵣崧嵤崻嵛৫৅峘হ୻

嵣਷੤৫৅峘হ୻

嵣௯੤৫৅峘হ୻

()'&)'੆়峕ৌ峃峵਋ୄ峘峨峒峫

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43

௯੤৫৅峕岴岻峵峘()'&)'ୖ਻峒਋ୄ

EFD CFD

ୖ ਻

崽崋嵤嵓崱૥ୡ峑峙ੑ೾ਡਯ岶૘峔 岮؝ଂਚ嵣ઁ෇೧௯சੑق਍

੼ك峕峲峵ੑ೾岶૑ਏ؝

嵐嵤崐嵑嵤峼ਈ৵৲ق৅ਗ਼লৡਈপ

৲ك峁峉௯੤਑౪峕ৱ峃峵ઁ෇೧௯ ய੒೾岶ৰਠলਟ峐岮峔岮؝嵒崊嵓崧 崌嵈੒೾峬ৰਠ峑岷峐岮峔岮؝

੆়ૼ୒峢峘਋ୄ

嵣ৎ૬৑্਱峢ਡ૔峃峵௯சੑ೾崯嵤崧岴峲峝ৰਃ௯੤ఢ峴峘 ਯ૘峔岮଒峳島峉ৰ೾崯嵤崧峼৷岮峐௯ய峼৊৲੒೾峁岝嵐嵤崐 嵑嵤峕峲峵লৡ଩ৣ峼଩੖峑岷峵峲岰峕峔峵হ؝

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

崧嵤崻嵛৫৅峘হ୻ ਷੤৫৅峘হ୻ ௯੤৫৅峘হ୻

1.75MW㢼㌴

(23)

➨ 㻣 ᅇ 㻱㻲㻰㻛㻯㻲㻰 ⼥ྜ䝽䞊䜽䝅䝵䝑䝥 㻤㻝

岾஬ലથ୔岰岾峀岮峨峁峉؝

පോ

嵣崔崡崧嵤崻嵛ลਞഐేૼ୒৫৅ଢ଼஢峘঳৖峙ஆয়ষ৆১যৗ崐崵嵓崖嵤嵣ਓ঵੕়৫

৅ਃଡقۃںڹۄك岵峳峘ஃਛহ঵岣੄崐崵嵓崖嵤୓ৗૼ୒৫৅হ঵طৰ઒ଢ଼஢

قਗ਼ৡ೽ஔಸ૶ৌੁك崔崡崧嵤崻嵛৷ลਞਸဒഐేಎ઼峘৫৅峕峎岮峐岤峘ਛટ峼 嵣崿嵑崢嵆崊崗崩嵍崐嵤崧峘௯੤ి৷ଢ଼஢峘঳৖峙ஆয়ষ৆১যৗ崐崵嵓崖嵤嵣ਓ঵੕়

৫৅ਃଡقۃںڹۄك岵峳峘੻౏঵ਜ峘੥ટ峼 ਹ৷岿峅峐ຘ岮峉؝

© 2015 Toshiba Corporation

45

()'&)'੆়峕ৌ峃峵਋ୄ

EFD CFD

ୖ ਻

శ෶๷嵣శமඡੑ೾岶൑୔峔峉峫

ੑ೾崿嵕嵤崾峘୶஭岶৅ে؝崧嵤崻 嵛৔峕৻਀岿島峵৔৖૴໭৵૬৑

ੑ೾峕峙த৵஑崿嵕嵤崾峘৫৅岶

૑ਏ؝

ਞั੸ৼ૴র峘ัᅙᅼೠ岝ীຝ岝

়৬峮ਞั৑峘೸ઐఌ峼ൣ岰ਠ଴峘 嵊崯嵓৲؝

ྎ岝崙嵤崟嵛崘਀એ峼૴৿峃峵ัৼ ق਷ဿك଱৿峘嵊崯嵓৲؝

ᒓᄑუ؜崕嵋崻崮嵤崟嵏嵛峔峓୾৾

ੑ೾岶൑୔峔ਠ଴岶৅ে峁峉ৎ峘

ੑ೾ু১峘৫৅؝

崡嵗嵤嵓峼ൣ岰૴島ৃ峼ੰෲ峃峵ৃ়岝 嵓嵤崰岝崩崫崿৖峼1峎峘ೊ૴嵊崯嵓峑

ெᇍ峃峵হ峙൑୔؝

崽崋嵤嵓崱૥ୡ峑峙ੑ೾ਡਯ岶૘峔 岮؝ଂਚ嵣ઁ෇೧௯சੑق਍

੼ك峕峲峵௯சੑ೾岶૑ਏ؝

嵐嵤崐嵑嵤峼ਈ৵৲ق৅ਗ਼লৡਈপ

৲ك峁峉௯੤਑౪峕ৱ峃峵ઁ෇೧௯ ய੒೾岶ৰਠলਟ峐岮峔岮؝嵒崊嵓崧 崌嵈੒೾岶஦峨峁岮؝

ਸ਼৚()'&)'੆়嵗嵤崗崟嵏崫崿

嵣ৰ೾੥ટ峼੟৶嵊崯嵓৲峁؜&)'峢ৰಎ؝

嵣ਞั੸ৼ૴র峑૴ச峒၄ྫྷ峘৊ৎੑ೾؝363ੑ೾؜૬৑ആ২؜ಓৡએੑ೾ૼ୒峘৫৅؝

嵣ೊ૴嵊崯嵓બਯ峘ଂਚਈి৲峕峲峴ৰ೾க峼ৈಖ২峕ெᇍ؝

嵣બਯਈి৲峁峉঱峑ྎ஑ગਝੑ؝

嵣ৎ૬৑্਱峢ਡ૔峃峵௯ச崯嵤崧岴峲峝ৰਃ௯੤ఢ峴峘ਯ૘峔岮଒峳島峉ৰ೾崯嵤崧峼৷岮峐 ௯ய峼৊৲੒೾峁岝嵐嵤崐嵑嵤峕峲峵লৡ଩ৣ峼଩੖؝

਋ୄ

(24)

Ᏹᐂ⯟✵◊✲㛤Ⓨᶵᵓ≉ู㈨ᩱ䚷㻶㻭㼄㻭㻙㻿㻼㻙㻝㻡㻙㻜㻜㻢 㻤㻞

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