Ieee 2011 international conference on electric information and control engineering (iceice) wuhan, china (2011 04 15 2011 04 17) 2011 international conference on electric information and control engineering

Resolver Ieee 2011 international conference on electric information and control engineering (iceice) wuhan, china (2011 04 15 2011 04 17) 2011 international conference on electric information and control engineering

Research on the Signal Process Circuit and Fault Diagnosis of Sine-cosine Resolver

Qi-xun ZHOU Xi’an University of Science and Technology

XUST Xi’an, China zhouqixun029@163.com

Abstract—The sine-cosine resolver has reliable structure, good

real-time performance and stable applicability As the angle

sensor for rotary system, it has been widely used in accurate and

reliable control field This paper analyses the working principle

of sine-cosine resolver, and presents its mathematical model The

high reliable sine signal generator for the sine-cosine resolver is

designed, and the resolver-to-digital-convert circuit is also given

This paper analyses a couple of typical fault of sine-cosine

resolver, makes the simulation for the fault diagnosis used Mallat

algorithm, and proposes the treatment processes The experiment

results verified that the signal processing circuit in this paper has

higher accuracy and reliability

Keywords— sine-cosine resolver, sine signal generator, resolver-to

digital converter, mallat arithmetic, fault diagnosis

催ᗻ㛑ᮟ䕀Ԏ᳡԰ࡼᴎᵘⱘ݇䬂ᡔᴃПϔ೼Ѣབԩ

㊒⹂⌟䞣䕧ߎ䕈ⱘ㾦ᑺԡ㕂ˈᐌ⫼ⱘ⌟㾦ᑺӴᛳ఼᳝㒱

ᇍᓣܝᷙ㓪ⷕ఼ǃ䳡ᇨӴᛳ఼੠ᮟ䕀বय़఼DŽ㒱ᇍᓣܝᷙ

㓪ⷕ఼Ⳉ᥹ᇚ䕀䕈㾦ᑺ䕀ᤶ៤᭄ᄫֵোˈᑨ⫼ㅔऩᮍ֓ˈ

Ԛ಴⦃๗䗖ᑨᗻǃӋḐㄝ಴㋴㟈Փ䲒ҹᑓ⊯ᑨ⫼˗䳡ᇨӴ

ᛳ఼㒧ᵘㅔऩˈԚ䲒ҹ䖒ࠄ催㊒ᑺ㾦ᑺ⌟䞣㽕∖㗠ফࠄ䰤

ࠊ˗ᮟ䕀বय़఼಴㒧ᵘৃ䴴ǃᅲᯊᗻདǃ⦃๗䗖ᑨᗻᔎㄝ

Ԏ᳡԰ࡼᴎᵘৠ䕈ᅝ㺙ˈ݊Ꮉ԰⦃๗⬉⺕ాໄ໻ˈᑊϨֵ

ো໘⧚⬉䏃䗮䖛䭓㒓Ϣ݊䖲᥹ˈ䭓㒓Ӵ䕧๲ࡴњᬙ䱰থ⫳

ⱘৃ㛑ᗻDŽ಴ℸˈᓔሩ催ᗻ㛑ⱘֵো⬉䏃䆒䅵Ϣᬙ䱰䆞ᮁ

ⷨおᇍѢᦤ催ᮟ䕀বय़఼⌟㾦㊒ᑺϢৃ䴴ᗻ݋᳝कߚ䞡㽕

ⱘᛣНDŽ

ᴀ᭛೼䆺㒚ߚᵤᮟ䕀বय़఼Ꮉ԰ॳ⧚ⱘ෎⸔Ϟˈ᥼ᇐ

њℷԭᓺᮟ䕀বय़఼ⱘ䕧ܹ䕧ߎ݇㋏DŽЎᦤ催ֵো໘⧚⬉

䏃ⱘ⦃๗䗖ᑨᗻˈ䆒䅵њᆑ⏽㣗ೈⱘℷᓺֵো▔ࢅ⬉䏃DŽ

䞛⫼催㊒ᑺϧ⫼䲚៤㾷ㅫ㢃⠛ᇍℷԭᓺᮟ䕀বय़఼䕧ߎⱘ

ℷѸ῵ᢳ䞣ֵো䖯㸠㾷ㅫˈᕫࠄϢ㾦ᑺԡ㕂៤㒓ᗻ݇㋏ⱘ

᭄ᄫֵোDŽЎᦤ催ᮟ䕀বय़఼ঞ݊໘⧚⬉䏃ⱘৃ䴴ᗻϢع

ᒋㅵ⧚㛑࡯ˈ䞛⫼ᇣ⊶⧚䆎䖯㸠ᬙ䱰䆞ᮁDŽӓⳳϢ䆩偠䆕

ᯢ᠔䆒䅵ⱘℷԭᓺᮟ䕀বय़఼ֵো໘⧚⬉䏃Ϣᬙ䱰䆞ᮁᮍ

⊩ᦤ催њ⌟㾦㊒ᑺϢৃ䴴ᗻDŽ

II ℷԭᓺᮟ䕀বय़఼Ꮉ԰ॳ⧚

ᮟ䕀বय़఼ᰃϔ⾡ᇚ䕀ᄤ䕀㾦বᤶ៤ϢПਜᶤϔߑ᭄

݇㋏ⱘ⬉ֵোⱘܗӊDŽҢॳ⧚Ϟ䇈ˈᅗⳌᔧѢϔϾৃҹ䕀 ࡼⱘ⬉य़఼DŽҢ㒧ᵘϞ䇈ˈᅗⳌᔧѢϔϾ໮ᵕ໮Ⳍ㒩㒓ᓣ ᓖℹ⬉ࡼᴎDŽᮟ䕀বय़఼ⱘᅮǃ䪕㢃⬅Ӭ䋼⸙䩶⠛៪催䬡 ড়䞥⠛঴៤DŽᅮǃ䕀ᄤ䪕㢃ῑݙߚ߿㺙᳝ϸϾ㒧ᵘᅠܼⳌ ৠ㗠ѦⳌൖⳈⱘ㒩㒘ˈ䕀ᄤ㒩㒘ৃ⬅⒥⦃੠⬉ࠋᓩߎDŽᣝ

݊䕧ߎ⬉य़Ϣ䕀ᄤ㾦П䯈ⱘߑ᭄݇㋏ˈজৃߚЎℷԭᓺᮟ

೒ 1 ᠔⼎DŽ

D

U•

d

Φ

Z3

Z4

D3

D1

D2

Z1

Z2

Z4 Z3

12

z

U•

34

z

U•

˄a˅㒧ᵘ⼎ᛣ೒ ˄b˅Ꮉ԰ॳ⧚೒

೒ 1 ᮟ䕀বय़఼ⱘ㒧ᵘ⼎ᛣ೒੠Ꮉ԰ॳ⧚೒ D1D2 ੠ D3D4 ᰃᅮᄤ㒩㒘ˈD1ǃD3 ᰃ㒩㒘ⱘ佪ッˈ D2ǃD4 ᰃ㒩㒘ⱘ᳿ッˈᅗӀⱘ᳝ᬜ᭄ࣱЎ NDDŽZ1Z2 ੠ Z3Z4 ᰃ䕀ᄤ㒩㒘ˈZ1ǃZ3 ᰃ㒩㒘ⱘ佪ッˈZ2ǃZ4 ᰃ㒩 㒘ⱘ᳿ッˈᅗӀⱘ᳝ᬜ᭄ࣱЎ NZDŽᎹ԰ᯊˈᅮᄤ D1D2

Ꮉ԰⺕䗮ˈᬙ⿄Ўࢅ⺕㒩㒘DŽ䕀ᄤ㒩㒘⫼ᴹ䕧ߎ⬉य़ֵ

োˈᬙ⿄䕧ߎ㒩㒘DŽ؛ᅮᅮᄤ D3D4ǃZ1Z2ǃZ3Z4 ᓔ 䏃ˈѸ⌕ࢅ⺕⬉⌕䗮䖛ࢅ⺕㒩㒘 D1D2 ᯊ᠔ᔶ៤ⱘࢅ⺕⺕ ࡼ࢓ Fb12 ᇚѻ⫳Ϣ D1D2 㒩㒘䕈㒓ᮍ৥ϔ㟈ⱘ㒉৥㛝ᤃ

Supported by the Cultivation Fund of Xi'an University of Science &

Technology No.200735˄㽓ᅝ⾥ᡔ໻ᄺ෍㚆෎䞥乍Ⳃ˅ˈSupported by the

Specialized Research of Education Department of Shaanxi Province

No.09JK586˄䰩㽓ⳕᬭ㚆ख़ϧ乍⾥ⷨ䅵ߦ乍Ⳃ˅

978-1-4244-8039-5/11/$26.00 ©2011 IEEE

D1D2 ੠ Z1Z2 㒩㒘Ёߚ߿ѻ⫳⬉ࡼ࢓E•D੠E•zˈ᳝݊ᬜؐ

Ў

4.44 4.44

­

®

¯

˄1˅

D D

Z Z

k

E =N = ˄2˅

⿄Ўᮟ䕀বय़఼ⱘব↨ˈབᵰᗑ⬹ࢅ⺕㒩㒘ⱘ⬉䰏੠ⓣ⬉

ЎU z12=E zˈᬙU z12=kU DDŽ⬅ѢΦ ⱘᮍ৥Ϣ Z3Z4 㒩㒘d

䕈㒓ൖⳈˈϡӮ೼䆹㒩㒘Ёѻ⫳ᛳᑨ⬉ࡼ࢓ˈ಴㗠 Z3Z4

㕂㾘ᅮЎᮟ䕀বय़఼ⱘ෎ޚ⬉⇨䳊ԡDŽ㗠ᡞ䕀ᄤأ⾏෎ޚ

⬉⇨䳊ԡⱘ㾦ᑺ⿄Ў䕀ᄤ䕀㾦DŽᔧ䕀ᄤ䕀㾦ϡㄝѢ䳊ˈ՟

12 34

cos

θ

­°

®

಴㗠೼䕀ᄤ㒩㒘Ёѻ⫳ⱘᛳᑨ⬉ࡼ࢓ߚ߿Ў

12 34

­

¯

˄4˅

䕧ߎ⬉य़߭Ў

12 34

cos sin

θ θ

=

­

®

=

¯

˄5˅

ߎ⬉य़ህৃҹϢ䕀ᄤ䕀㾦ֱᣕޚ⹂ⱘℷǃԭᓺߑ᭄݇㋏DŽ

III ℷԭᓺᮟ䕀বय़఼ֵো໘⧚⬉䏃䆒䅵

ᮟ䕀বय़఼▔ࢅֵো⬅ᬍ䖯ⱘ᭛⇣ḹ⬉䏃ѻ⫳ˈ೼৘

⾡ℷᓺ⊶থ⫳ᡔᴃЁˈ᭛⇣ḹᤃ㤵఼㹿䅸Ўᰃ೼Ԣ乥ᑨ⫼

乚ඳЁ᳔ㅔऩǃ㒣⌢ǃ៤❳ⱘϔ⾡DŽⳂࠡᇍ᭛⇣ḹℷᓺ⊶

থ⫳఼ⱘⷨお໮䲚ЁѢᠽሩ݊ᑨ⫼乥⥛ˈ䰡Ԣ᳝䰤๲Ⲟᏺ

ᆑЬ⿃ⱘᕅડҹঞ䴲ᭈ᭄⃵᭛⇣ḹᤃ㤵఼ㄝᮍ䴶ˈ㗠ᇍѢ

ᇚ᭛⇣ḹℷᓺ⊶থ⫳఼ᑨ⫼ѢᎹ԰⦃๗ᙊࡷ៪催ৃ䴴㽕∖

催Ԣ⏽䆩偠ᯊˈ⏽ᑺ催Ѣ 75ćৢֵোᐙؐ䱣ⴔ⏽ᑺⱘछ

催䗤⏤ޣᇣˈ೼⏽ᑺ䖒ࠄ 90ćᎺেᯊℷᓺ⊶ᐙؐ޴Т㹄

ޣࠄ 0Vˈᴀ᭛䞛⫼ᬍ䖯ⱘ᭛⇣ḹℷᓺ⊶থ⫳఼԰Ўᮟ䕀

বय़఼▔ࢅֵোˈ䗮䖛䆩偠䆕ᯢ݊Ꮉ԰⏽ᑺ㣗ೈЎ-25ć

~+125ćˈᐙؐব࣪ᇣѢ 10%ˈ⬉䏃ॳ⧚བ೒ 2 ᠔⼎ˈ䞛

⫼ঠ䖤ᬒᵘ៤ℷᓺ⊶ᤃ㤵⬉䏃ˈᑨ⫼ঠѠᵕㅵü⬉䰏㔥㒰

᥻ࠊ⬉䏃ⱘ⦃䏃๲ⲞDŽᴀ⬉䏃䍋ᤃᯊ䯈ԢѢ 80msˈᤃ㤵

乥⥛ 15.5kHzˈዄዄؐЎ 5Vˈֵো⊶ᔶབ೒ 3 ᠔⼎DŽ

U1A

TL084CD

3 2 11

4 1

U1B

TL084CD

3 2 11

4 1

VCC 12V

VCC 12V

VEE -12V

R6 33kȍ 5%

300pF

C4 300pF

R8 33kȍ 5%

C5 300pF

R9 1.3kȍ 5%

R10 1.3kȍ 5%

R11 6.8kȍ 5%

R12 6.8kȍ 5%

D1 1N4148

D2 1N4148 R7 33kȍ 5%

7

6

4 VEE

VEE

VCC 0

3

2

0 1

VCC

XSC1

Tektronix

1 2 3 4 T G P

5

⬅ᇍᮟ䕀বय़఼Ꮉ԰ॳ⧚ⱘߚᵤৃⶹˈᔧᮟ䕀বय़఼

ߎЎ˖

sin cos

sin 2 sin sin 2 cos

=

­

®

=

¯

˄6˅

䖛῵ᢳࠄ᭄ᄫⱘ㾷ㅫ⬉䏃ᠡ㛑Ϣ᭄ᄫԎ᳡᥻ࠊ఼᥹ষDŽ㕢

೑ AD ݀ৌ⫳ѻⱘ AD2S80 ᰃҹ䡈ᐙᮍᓣᇍℷԭᓺᮟ䕀ব य़఼ֵো䖯㸠໘⧚ⱘϧ⫼㢃⠛ˈ䕀ᤶ㊒ᑺৃ䆒ᅮЎ 10ǃ 12ǃ14ǃ16 bit ⱘߚ䕼⥛ˈϡৠߚ䕼⥛ᇍᑨⱘ᳔໻䎳䏾䗳

⥛ߚ߿Ў 62400ǃ15600ǃ3900ǃ975 r/minˈܕ䆌⫼᠋䗮 䖛໪ೈ఼ӊⱘϡৠ䖲᥹䗝⫼ϡৠⱘߚ䕼⥛DŽAD2S80 Ϣ໪

ೈ఼ӊⱘ᥹ষ⬉䏃བ೒ 4 ᠔⼎ˈ▔ࢅֵোথ⫳⬉䏃ᦤկዄ ዄؐЎ 5Vǃ乥⥛Ў 15.5kHz ℷᓺֵো᥹ܹ REFERENCE I/P ᓩ㛮ˈᮟ䕀বय़఼ⱘℷ/ԭᓺড作ֵোߚ߿᥹ܹ SINǃ SIN GOUND ੠ COSǃCOS GOUND ᓩ㛮ˈ䗮䖛᭄ᄫ䕀ᤶ 䕧ߎϢ⬉ᴎ䕀䕈㾦ԡ㕂៤㒓ᗻ݇㋏ⱘѠ䖯ࠊⷕⳈ᥹䗕ܹԎ

᳡㋏㒳ⱘ᭄ᄫֵো໘⧚఼ЁDŽ೒ 4 Ёˈ໪᥹ܗӊ R1ǃ R2ǃC1ǃC2 ᵘ៤催乥Ⓒ⊶఼˗R3ǃC3 ⹂ᅮ෎ޚ䕧ܹѸ

Ўޚ߭˗ᬍব C4ǃC5ǃR5 ⱘؐৃҹᬍব䯁⦃ᏺᆑ˗ C6ǃR7 ᵘ៤Ⳍԡ㸹ٓ⬉䏃ˈ䗮ᐌ䗝 C6=470pFˈR7=68

[8-9]DŽ

RDC AD2S80A SIN

COS GROUND COS

SIN GROUND

12 DATA ITS

VCO I/P

R7 C6

R6 TRICKING RATE SELECTION

C5 C4

R5

BAND WIDTH SELECTION INT

I/P R4

+12V R9 -12V

R8

OFFSET ADJUST C3

R3

REFERENCE I/P

HF FILTER R2

R1

REF

REF

GROUND

Freq:

18kHz

INT O/P

DEM I/P DEM O/P

AC ERR O/P

TMS320F2812

VELOCITY SIGNAL ᣓ

䕀

ব

य़

ེ

R1

R3

S1

S3

S2

S4

REFERENCE I/P

AGND

೒ 4 ℷԭᓺড作ֵো㾷䇗⬉䏃

120

AD2S80 㾷ㅫⱘֵোབ೒ 5 ᠔⼎DŽ

˄a˅⃵㑻㒓೜䕧ߎֵো ˄b˅AD2S80 㾷ㅫֵো

೒ 5 ᮟ䕀বय़఼ড作ֵোϢ㾷ㅫֵো

IV ᮟ䕀বय़఼ᬙ䱰䆞ᮁ

ᬙ䱰䆞ᮁ䖛⿟ৃҹߚЎϝ໻ℹ偸˖㄀ϔℹЎᬙ䱰ֵᙃ

ⱘ㦋পˈ㄀ѠℹЎᬙ䱰⡍ᕕⱘᦤপˈ㄀ϝℹЎ⢊ᗕ䆚߿੠

䆞ᮁˈᬙ䱰䆞ᮁѺৃ⧚㾷Ўֵো䆚߿ǃᦤপǃߚᵤϢ໘⧚

ⱘ䖛⿟DŽӴ㒳ⱘֵোߚᵤᰃᓎゟ೼ Fourier বᤶⱘ෎⸔Ϟ

䖯㸠ⱘϔ⾡ܼሔবᤶˈᇣ⊶ߚᵤᰃ೼ᑨ⫼᭄ᄺⱘ෎⸔Ϟথ

ሩ䍋ᴹⱘϔ䮼ᮄ݈ᄺ⾥ˈ䖥क޴ᑈᴹপᕫњ亲䗳ⱘথሩˈ

⬅Ѣᇣ⊶ߚᵤⱘĀ㞾䗖ᑨᗻ䋼ā੠Ā᭄ᄺᰒᖂ䬰ᗻ䋼āˈ

Փ݊㹿ᑓ⊯ᑨ⫼Ѣ෎⸔⾥ᄺǃᑨ⫼⾥ᄺᇸ݊ᰃֵᙃ⾥ᄺǃ

ֵোߚᵤⱘᮍᮍ䴶䴶DŽ

S MallatᦤߎⱘMallatㅫ⊩Ңֵোⱘ໮ߚ䕼⥛ぎ䯈ߚ

㾷ὖᗉߎথˈᇚֵোⱘ໮ߚ䕼⥛ߚᵤ੠໮䞛ḋ⥛Ⓒ⊶఼㒘

䖭ϸϾ乚ඳ㘨㋏䍋ᴹˈ߽⫼໮䞛ḋ⥛Ⓒ⊶఼㒘ⱘᮍ⊩ᅲ⦄

ֵোⱘᇣ⊶বᤶDŽ೼⫼Mallatㅫ⊩ᅲ⦄ϔ㓈⾏ᬷᇣ⊶বᤶ

ⱘ䖛⿟Ёˈ᠔䗝পⱘℷѸᇣ⊶ߑ᭄˄े↡ᇣ⊶˅ϡৠˈᇍ

ᑨⱘሎᑺߑ᭄੠Ⓒ⊶఼㋏᭄гᰃϡৠⱘDŽℷᐌᎹ԰ᯊˈᮟ

䕀বय़఼ֵোЎ㾘߭ⱘℷᓺᑇ〇ֵোˈ▔ࢅֵো乥⥛䖒ࠄ

15.5kHzˈЎᦤ催㋏㒳ⱘᅲᯊડᑨ㛑࡯ˈᑨሑ䞣ޣᇣCPU

ⱘ䖤ㅫ䞣ˈᬙҙ䞛⫼Mallatㅫ⊩ⱘ㄀ϔሖߚ㾷ֵো԰Ўᬙ 䱰䆞ᮁⱘձ᥂DŽ

˄1˅▔ࢅֵো⍜༅DŽབ᭛⇣ḹᤃ㤵఼ߎ⦄ܗ఼ӊᤳ ണㄝॳ಴ˈᇚᇐ㟈▔ࢅֵো⍜༅ⱘᬙ䱰ˈ䖭⾡ᬙ䱰㉏ൟ᳔ ЎᙊࡷˈᇚՓᮟ䕀বय़఼༅এ▔ࢅ⑤㗠᮴⊩Ꮉ԰ˈᮟ䕀Ԏ

᳡ᴎᵘԡ㕂ড作ಲ䏃ߛᮁDŽᬙ䱰ӓⳳঞ d1 ߚ㾷ֵোབ೒

ϔሖߚ㾷ֵো˄೒ 6ü೒ 10 ㉏ৠ˅ˈҢ೒Ёৃҹⳟߎˈ

೼▔ࢅֵো s ⍜༅ⱘᯊࠏˈd1 ߚ㾷ֵোߎ⦄䏇বDŽ

೒ 6 ▔ࢅ⍜༅ᬙ䱰ӓⳳঞֵোߚ㾷⊶ᔶ

˄2˅ᐙؐさবDŽᐙؐさব໮ߎ⦄೼⬉䏃ফࠄᑆᡄㄝ ॳ಴ѻ⫳ˈབᵰাᰃऩ⃵ᇣᐙؐさবˈϡᕅડ㋏㒳ℷᐌᎹ

԰ˈԚབᵰߎ⦄਼ᳳᗻⱘᐙؐさব៪さবؐ䍙ߎᅝܼ䯔

ؐˈᇚᕅડ㋏㒳ℷᐌᎹ԰៪ᤳണ㋏㒳݊ᅗ⬉䏃DŽᬙ䱰ӓⳳ

ঞ d1 ߚ㾷ֵোབ೒ 7 ᠔⼎ˈᅲᯊⲥ⌟ d1 ֵোⱘᵕؐ໻ᇣ Ϣߎ⦄乥⥛ˈ㋏㒳֓ৃᇍᐙؐさব԰ߎড়⧚ⱘ߸ᮁDŽ

೒ 7 ᐙؐさবᬙ䱰ӓⳳঞֵোߚ㾷⊶ᔶ

˄4˅乥⥛さবDŽ乥⥛さবᰃ਼ᳳֵোߎ⦄ᬙ䱰ⱘϔ

⾡ᐌ㾕ᔶᓣˈ೒ 8 Ў▔ࢅֵো乥⥛さবᬙ䱰ӓⳳঞߚ㾷ֵ

ো⊶ᔶˈҢߚ㾷⊶ᔶЁᕜᆍᯧৃҹⳟߎ೼乥⥛さব⚍ d1 ߎ⦄䏇বDŽ

೒ 8 乥⥛さবᬙ䱰ӓⳳঞֵোߚ㾷⊶ᔶ

˄5˅ᓩܹాໄDŽЎ㡖ⳕぎ䯈ˈ▔ࢅֵো㒓ϔ㠀Ϣ԰ ࡼᴎᵘࡳ⥛㒓㒥ᠢ೼ϔ䍋ˈЎޣᇣ໻ࡳ⥛ֵোᇍᇣֵোⱘ ᑆᡄˈϔ㠀䛑خ໮ሖሣ㬑DŽԚབᵰ೼Ꮉ԰䖛⿟Ёሣ㬑ߎ⦄

᥹㾺ϡ㡃៪݊ᅗ⦄䈵㗠ՓᑆᡄֵোІܹ▔ࢅֵোЁˈᇚᕅ ડ㾦ᑺԡ㕂ⱘ㾷ㅫ㊒ᑺ⫮㟇ᕫϡࠄℷ⹂ⱘ㾷ㅫ㒧ᵰDŽ೒ 9 Ў▔ࢅֵোІܹ催ᮃⱑాໄⱘᬙ䱰ӓⳳঞߚ㾷ֵো⊶ᔶˈ Ң೒Ёৃҹⳟߎ೼ߎ⦄ాໄৢˈd1 ᇚߎ⦄ᯢᰒব࣪DŽ

೒ 9 ᓩܹాໄᬙ䱰ӓⳳঞֵোߚ㾷⊶ᔶ

B ড作ֵোᬙ䱰䆞ᮁ

⬅೒ 5 ৃⶹᮟ䕀বय़఼Ѡ⃵㒓೜䕧ߎֵোࣙᣀϢ▔ࢅ

ֵোৠ乥ⱘ䕑⊶ֵোҹঞϢ㾦ᑺԡ㕂Ⳍ݇ⱘࣙ㒰ֵোDŽ㗠

೼Ԏ᳡԰ࡼ఼䖭㉏㋏㒳Ё䕀䕈䕀䗳乥㐕ব࣪ˈԚ⬅Ѣ݊ᛃ

ᗻⱘᄬ೼ˈ䕀䗳ϡৃ㛑さবˈ಴ℸˈ೼ᇍ▔ࢅֵো䖯㸠ᅲ

ᯊⲥ⌟ৢˈ䕧ߎֵোা䳔ⲥ⌟ࣙ㒰ֵোⱘさবҹঞᓩܹా

ໄϸ⾡ᬙ䱰ᔶᓣDŽབ೒ 10 ᠔⼎ˈ೒Ё s Ўᮟ䕀বय़఼䕧

ߎⱘℷᓺֵোˈ೼ 1 ໘থ⫳ֵো⍜༅ᬙ䱰ˈ೼ 2 ໘ᓩܹ催

ᮃⱑాໄˈ䗮䖛ߚ㾷ৢⱘ d1 ֵোৃޚ⹂Ẕ⌟ߎ䖭ϸ⾡㉏

ൟⱘᬙ䱰DŽԭᓺֵোⱘᬙ䱰ߚᵤϢℸ㉏ৠˈϡݡ䌬䗄DŽ

೒ 10 ᮟ䕀বय़఼䕧ߎֵোᬙ䱰ӓⳳঞֵোߚ㾷⊶ᔶ

V ᬙ䱰䆞ᮁ೼ DSP Ёⱘᅲ⦄

ᇚ▔ࢅֵো䗕᭄ܹᄫֵো໘⧚఼ⱘ⠛ݙ$'䕀ᤶ఼Ёˈ

ᳳ䞛ḋ䕀ᤶϾ⚍DŽ↣⃵䕀ᤶߎϔϾ▔ࢅֵোⱘ⾏ᬷؐৢ

ᄬܹ),)2BUHIˈ೼),)2BUHIЁ໮ѢϾ䕀ᤶ᭄᥂ᯊ䇗⫼ϔ

ሎᑺ0DOODWㅫ⊩ˈᕫࠄԢ乥ߚ䞣DaD੠催乥ߚ䞣GaGˈ

✊ৢ䖯㸠ҹϟ䖤ㅫ˖

䯔ؐ'↨䕗ˈᔧ໻Ѣ'ᯊˈ䍙䯔ؐᷛᖫ'Iࡴ˗

˄˅ 䆒ᅮԢ乥ߚ䞣ᵕؐ䮼䰤Ў$BPLQǃ$BPD[ˈ∖পԢ

䰤ˈ0Iࡴ˗

˄˅ 䆒ᅮԢ乥ߚ䞣ব࣪ᵕؐ䮼䰤ЎƸ$ˈ∖পԢ乥ߚ䞣

Ƹ$ˈ߭ᇚᅮԢ乥ߚ䞣ব࣪ᷛᖫƸIࡴDŽ

ᬙ䱰߸ᮁձ᥂བ㸼᠔⼎ˈḍ᥂ℸ㸼ৃ㊒⹂ᅮԡ▔ࢅ

ֵোᬙ䱰㉏ൟҹঞথ⫳ᬙ䱰ⱘᯊ䯈ˈᅲ⦄▔ࢅֵোⱘᬙ䱰

䆞ᮁDŽ

㸼▔ࢅֵোᬙ䱰߸ᮁձ᥂㸼

ձ᥂

VI ᘏ㒧 ᮟ䕀বय़఼ҹ㗤⊍∵ǃᆑ⏽㣗ೈǃᡫކߏ੠ᤃࡼǃᡫ 䕤ᇘㄝӬ䍞ᗻ㛑㗠ᑓ⊯ᑨ⫼Ѣᶨᗻࠊ䗴㋏㒳ǃᴎ఼Ҏǃࡲ

݀㞾ࡼ࣪ǃ᭄᥻ᴎᑞ੠㟾ぎ㟾໽ㄝ乚ඳDŽԚᮟ䕀বय़఼ⱘ 䕧ߎᰃϸ䏃ℷѸⱘ῵ᢳ䞣ˈ䳔໘⧚៤Ⳍᑨⱘ᭄ᄫֵোᠡ㛑

Ϣ DSP ㄝ᭄ᄫԎ᳡᥻ࠊ఼㘨᥹ˈ໘⧚⬉䏃䕗Ў໡ᴖˈЎᦤ 催ᮟ䕀বय़఼Ꮉ԰ⱘৃ䴴ᗻˈᴀ᭛೼ߚᵤ݊Ꮉ԰ॳ⧚ⱘ෎

⸔Ϟˈ䆒䅵њ▔ࢅথ⫳⬉䏃Ϣ㾷ㅫ⬉䏃ˈ䩜ᇍᮟ䕀বय़఼

ᮁDŽЎᮟ䕀বय़఼ᑨ⫼Ѣ㟾ぎ㟾໽ǃݯᎹㄝ催ৃ䴴ᗻ㽕∖ ⱘ乚ඳᦤկњᮄⱘᗱ䏃DŽ

㟈䇶

԰㗙೼ℸᛳ䇶㽓ᅝ⾥ᡔ໻ᄺ෍㚆෎䞥ྨਬӮᦤկⱘ乍 Ⳃ䌘䞥ᬃᣕDŽ

[1] Bunte Andreas, Beineke Stephan High-Performance Speed Measurement by Suppression of Systematic Resolver and Encoder Errors[J] IEEE Trans.actions on Industrial Electronics, 2004, 51(1):

49-53

[2] Benammar Mohieddine, Ben-Brahim Lazhar, Alhamadi Mohd A A Novel Resolver-to-360° Linearized Converter[J] IEEE Sensors Journal,

2004, 4(1): 96-101

[3] M.Nirei, Y.yananoto, K.kitazawa et al Angular error analysis of an

8X-VR resolver with an eccentric rotor[J] Journal of Magnetism and Magnetic Materials, 2002, 24(2-5): 1202-1205

[4] Nowlin N, McEndree S, Butcher D A radiation-hardened high-precision Resolver-to-Digital Converter (RDC)[C] 2004 IEEE Radiation Effects Data Workshop - Workshop record, Jul 22 2004:96-103

[5] Di Tommaso A O, Miceli R A new high accuracy software based resolver-to-digital converter [C] The 29th Annual Conference of the IEEE Industrial Electronics Society, 2003,3: 2435-2440

[6] AWAD S S Extending the Frequency Range of a Wien-Bridge Oscillator Using Composite Operational Amplifiers[J] IEEE Transactions on Instrumentation and Measurement, 1989, 38(3):

740-744

[7] AHMAD W, EI-KHAZALI R, ELWAKIL A S Fractional-Order Wien-Bridge Oscillator[J] Electronics Letters, 2001, 37(18): 1110-1112 [8] Alhamadi Mohd A, Benammar M, Ben-brahim L Precise method for linearizing sine and cosine signals in resolvers and quadrature encoders applications[C] IECON 2004 - 30th Annual Conference of IEEE Industrial Electronics Society, 2004:1935-1940

[9] Zhou Qixun, Li Shengjin, Lu Gang, Zhou Yong Crossed-feedback control of dual-redundancy permanent magnetic brushless dc servo system used in electro-hydrostatic actuator Electrical Machines and Systems, 2008 ICEMS 2008 International Conference on 2008: 1237 –

1241