小型三相無刷直流風扇馬達無感測控制晶片研製
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(3) Design and Implementation of a Sensorless Control Chip for a Small Three-Phase Brushless DC Fan Motor. !" .
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(7) Design and Implementation of a Sensorless Control Chip for a Small Three-Phase Brushless DC Fan Motor. ¹ º»¼ :
(8) cd. Student Advisor. ¹ ¹. ½¾¿ÀÁ% ÂÃ!ÄÅÆ{%Ç ÈdQR A Thesis Submitted to Department of Electrical and Control Engineering National Chiao Tung University in partial Fulfillment of the Requirements for the Degree of Master in Electrical and Control Engineering June 2005 Hsinchu, Taiwan, Republic of China. ÉʽËÌÍÎÏ. Chi-Chang Cheng Dr. Shir-Kuan Lin.
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(11) ñò (Field Programmable Gate Array FPGA) «Ö VHDL Ç !ý èé"#$ÙÚá%3&ÛÜÝÞáâÄÅãä'()]*+ ÑåçÚÛÜÝÞÞ¤÷," èé&{] Visual C++ -.áâ/0ÃÅL\1^P 2] FPGA ãä34Â5âÂ6.ÝÞ/0^78Â6¬ÙÚá %3&ÛÜÝÞáâÄÅÇZ9". i.
(12) Design and Implementation of a Sensorless Control Chip for a Small Three-Phase Brushless DC Fan Motor. Student : Meng-Hsun Hsieh. Advisor : Dr. Shir-Kuan Lin. Department of Electrical and Control Engineering National Chiao Tung University. ABSTRACT. This paper presents the development of a sensorless control chip for a small threephase brushless DC(BLDC) fan motor. The fan motors mostly adopt the single-phase design now. And they need a sensor to detect the rotor position. For various products applied to the fan motor, such as notebook, there is a trend to miniaturize. It is unavoidable to make fan motor miniaturization, light quantization, high performance and high precision. Therefore, in this thesis, a FPGA (Field Programmable Gate Array)based chip design is taken to implement a sensorless control chip conceptual core for three-phase BLDC fan motor drive, utilizing VHDL (Very High Speed Integrated Circuit(VHSIC) Hardware Description Language) modulation techniques and competence from system planning level opinion, improving the single-phase characteristic reached of fan motor at present. The proposed sensorless drive scheme is verified with the Visual C++ simulation first, and then is realized with FPGA-based chip collocating with voltage sensing circuit, motor drive and peripheral circuit for constructing a sensorless control system for a three-phase BLDC fan motor.. ii.
(13) . i. . ii. . ii. . iv. . vii.
(14) 1.1 1.2 1.3 1.4 1.5. 1. 0Ã!Ñ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . :;!ÓÔ$< . . . . . . . . . . . . . . . . . . . . . . . . . . . i9!Ç . . . . . . . . . . . . . . . . . . . . . . . . . . . QR=´ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . QR>9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 2.1. ÙÚá%3&ÝÞ²9. 1 2 7 8 9. 10 . . . . . . . . . . . . . . . . . . . . . . . . . iii. 10.
(15) Ñ? 2.2 2.3 2.4. iv. ÙÚá%3&ÝÞß% à . . . . . . . . . . . . . . . . . . . . . . ÙÚá%3&ÝÞ/0m@ . . . . . . . . . . . . . . . . . . . . . . ÙÚ!çÚá%3&ÝÞLAB . . . . . . . . . . . . . . . . . . . .. !"#$ 3.1. 3.2 3.3. ßWàÚWCí . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.1 DE9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.2 ×FiGH9 . . . . . . . . . . . . . . . . . . . . . . . . . . 3.1.3 IJKL8Õ . . . . . . . . . . . . . . . . . . . . . . . . . . {à - . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . MÙN Oèé . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. % &'()*+,-. 4.1 4.2. èéPQRST . . . . . . . . . . . . . . . . . . . . . . FPGA ÄÅãäLÇ>9 . . . . . . . . . . . . . . . . . . . . Quartus II. / 0123456!+ 7869:. 11 13 20. 28 28 28 30 32 35 38. 41 41 46. 64. 5.1. >9. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 64. 5.2. ALTERA Stratix EP1S10 Nios Development Board . . . . . . . . . . .. 65. 5.3. ²³. 68. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. ; 76<=>? 6.1 6.2. ²Q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . UMÓÔ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 73 73 74.
(16) 1.1. ÙÚá%3&ÛÜÝÞáâÄÅÇ>9. . . . . . . . . . . . .. ÙÚá%3&ÝÞô (ROTOR) !V (STATOR) . . . . . . . 2.2 VWX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 θ ! θ WX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 ÙÚá%3&ÝÞô!VÔYX . . . . . . . . . . . . . . 2.5 çÚ K X ( Z[çW :degree\[çW :g*cm/A) . . . . . . . . . 2.6 ] ÀÚÂ& K X ( Z[çW :degree\[çW :g*cm/A) 2.7 120 -ÎEi^ô_`^ . . . . . . . . . . . . . . . . . . . . . . . 2.8 ] ÀÙÚÂ& K X ( Z[çW :degree\[çW :g*cm/A) 2.9 180 -ÎEi^ô_`^ . . . . . . . . . . . . . . . . . . . . . . . 2.10 çÚÛÜÝÞ/0í>9 ( aXbLØ>9cXçLØ >9 ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.11 ÙÚá%3&ÝÞ/0í . . . . . . . . . . . . . . . . . . . . . . . . 2.12 çÚá%3&ÝÞ£dVeOià ( aXfgeOcX [geO ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.13 ÙÚá%3&ÝÞ 120 -ÎEi^\
(17) ýô_`^X . . . . . 2.14 çÚá%3&ÝÞ\
(18) ýô_`^X . . . . . . . . . . . . . . . 2.15 çÚá%3&ÝÞÓhiô_X . . . . . . . . . . . . . . . . . 2.16 çÚá%3&ÝÞ hiô_X . . . . . . . . . . . . . . . . . 2.1. r. s. t. t. t. v. 8 11 12 14 15 16 17 18 19 20. 21 21. 22 22 23 24 25.
(19) XjÑ? 2.17 ÙÚá%3&ÝÞô_X . . . . . . . . . . . . . . . . . . . . . . 2.18 Û5Û&,kOX ( aX curve3 6248NH Û5Û&, kOcX curve2 6248NTD Û5Û&,kO ) . . . DE9l(WX . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.2 ×FiGH9WX . . . . . . . . . . . . . . . . . . . . . . . . . 3.3 Â&igm u → w no÷ v → w ¡ Àpq . . . . . . . . . . . . 3.4 rst©l(WX . . . . . . . . . . . . . . . . . . . . . . . . . 3.5 ÝÞÂuv 30 -wxyDE9 . . . . . . . . . . . . . . . . . . . . . 3.6 ÝÞôz'+^qXyDE9 . . . . . . . . . . . . . . . . . . . . . 3.7 ÝÞÂuv 30 -wxy×FiGH9 . . . . . . . . . . . . . . . 3.8 ÝÞôz'+^qXy×FiGH9 . . . . . . . . . . . . . . . 3.9 {^-|}l(m@ . . . . . . . . . . . . . . . . . . . . . . . . . 3.10 Y§Â6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.11 {^~3&Â5ôoí . . . . . . . . . . . . . . . . . . . . . . . . . 3.1. Pèé&{ . . . . . . . . . . . . . . . . . . . . . . . . . 4.2 Quartus II XqÖSö . . . . . . . . . . . . . . . . . . . . . . . . . 4.3 FPGA ÄÅãä£dÇ>9 . . . . . . . . . . . . . . . . . . . . 4.4 Y§ÄÅ !&{X . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.5 Y§ÄÅ ! -²³ . . . . . . . . . . . . . . . . . . . . . . . . . 4.6 VW^Y6 !&{X . . . . . . . . . . . . . . . . . . . . . . . . 4.7 VW^Y6 ! -²³ . . . . . . . . . . . . . . . . . . . . . . 4.8 6 !&{X . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.9 6 ! -²³ . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.10 DE9$6 ! -²³ . . . . . . . . . . . . . . . . . . . . 4.11 ×FiGH9$6 ! -²³ . . . . . . . . . . . . . .. 4.1. Quartus II. vi 26. 27 29 30 33 34 36 36 37 37 38 40 40 42 45 46 48 48 50 51 52 53 53 53.
(20) XjÑ? 4.12 !&{X . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.13 ! -²³ . . . . . . . . . . . . . . . . . . . . . . . . . 4.14 ! -²³ . . . . . . . . . . . . . . . . . . . . . . . . . 4.15 ÕÂ0 ! -²³ . . . . . . . . . . . . . . . . . . . . . 4.16 »0 !&{X . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.17 »0 ! -²³ . . . . . . . . . . . . . . . . . . . . . . . . . 4.18 {^-|} ! -²³ . . . . . . . . . . . . . . . . . . . . . .. vii 54 55 57 59 61 62 63. ÙÚá%3&ÝÞáâíL>9 . . . . . . . . . . . . . . . 65 5.2 F . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 5.3 Nios ÓÔÂ6X . . . . . . . . . . . . . . . . . . . . . . . . . 67 5.4 Nios ÓÔÂ6>9iX . . . . . . . . . . . . . . . . . . . . . . . 67 5.5 ÝÞÙÚÂ5!OÂ5^qX (1:V 2:V 3:V 4:V ) . 68 5.6 ÙÚÂ5!OÂ5AB^qX (1:u 2:v 3:w ) . . . . . . 69 5.7 ÕÂ0 FÙÚÂ5!OÂ5Ú^qX (1:bemf 2:U-CT3:V-CT4:W-CT) . . . . . . . . . . . . . . . . . . . . . . . . 69 5.8 ÚWwxÝÞÂuv 30 -^qX (1:bemf2:E 3:FG) . . . . . 70 5.9 PWM |}ÝÞÂ5^qX (1:PWM signal2: ÝÞÂ5 ) 70 5.10 restart t© (1:FG signal2:low-level Ehigh-level \?ô ) 71 5.11 90 !DQ . . . . . . . . . . . . . . . . . . . . . . . 71 5.12 DE9$áâ/0ôzX . . . . . . . . . . . . . . . . . . . . 72 5.13 ×FiGH9$áâ/0ôzX . . . . . . . . . . . . . . 72 5.1. u. v. w. d. d. d. d. CT.
(21) 1.1 2.1 2.2 2.3 2.4 2.5. ÙEi^!ÎEi^ . . . . . . . . . . . . . . . . . . . . ÙÚÝÞ
(22) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 -ÎEi^oÚ¡¢ . . . . . . . . . . . . . . . . . . . . . . 180 -ÎEi^oÚ¡¢ . . . . . . . . . . . . . . . . . . . . . . 6248NH ! 6248NTD ,AB . . . . . . . . . . . . . . . . . . . ÙÚ!çÚá%3&ÝÞ>9^,AB . . . . . . . . . . .. XqÖSöèé&{_ *t© . . . 4.2 Y§ÄÅ !W V¡¢D . . . . . . . . . . . . . . . . . . 4.3 VW^Y6 !W V¡¢D . . . . . . . . . . . . . . . 4.4 6 !W V¡¢D . . . . . . . . . . . . . . . . . . . . 4.5 !W V¡¢D . . . . . . . . . . . . . . . . . . 4.6 Σ¤¥ !W V¡¢D . . . . . . . . . . . . . . . . . . 4.7 Σ¤¥ ! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.8 ÕÂ0 !W V¡¢D . . . . . . . . . . . . . . 4.9 ÕÂ0 ! . . . . . . . . . . . . . . . . . . . . . . . . . 4.10 »0 !W V¡¢D . . . . . . . . . . . . . . . . . . 4.11 {^-|} !W V¡¢D . . . . . . . . . . . . . . . 4.1. 5.1. Quartus II. EP1S10F780C6. ãä
(23) . . . . . . . . . . . . . . . . . . . . . . . . . . viii. 4 11 17 19 26 27 43 47 49 52 54 56 57 58 59 60 62 66.
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(33) Three-Step Start-Up Six-Step Start-Up 1. U →V. U →V. 2. U →V. U →W. 3. V →W. V →W. 4. V →W. V →U. 5. W →U. W →U. 6. W →U. W →V. @½A«M 5,726,543 [6] Y6z{ÖÙEi^VK Ó|R+B2!KÙEi^7ÕÂ0 -.Á×]J 370mV ñåÚ 500mV #]*Sno÷6oÚÄÅ{÷üY 6»0¡¢" (3) 6oÚÄŹ âÝÞôzÐ2Ö3]ø]êëÕÂ0 ^qú]O +6oÚÄÅ{6oÚÄÅ{ ]/¦¥Ý ÞoÚi #ÎEi^oÚú"23JTÒU"6oÚÄÅ L"&4Á«ÖÕÂ0 MóâôLWõOêÞ÷oÚÄÅ Ñ4 1985 K. Iizaka, H. Uzuhashi, et al. [7] N*¥]«ÖÝÞÂ5 âPâUÓÚÕÂ0 7¿i ( Â56m 6}\6°m \6} 6 )âUÓÚÕÂ0 Ó7¿24¯2_ÝÞ uv 30 -ÚWwxN]Ì÷oÚi"ÖUÓÚÕÂ0 7¿iM/¦oÚi¡ìV ø "øC7¿ ioÚiPâ" ÁdW"noÂ&ig¡ø Âã no¡Â&X¢"mÒYIJKL&¥#¡ú"ÓC7¿. #2=oÚ¨'(Z[no ÓC7¿" JJ. Shao, D. Nolan, and T. Hopkins [8] *¥2Ä PWM(Pulse Width Modu-.
(34) M 1 ó ôQ 5 lation) no\,MóâÕÂ0 7¿i"]àÕÂ0 7¿ ióâÂ6ïUÓÚ (floating phase) ÚÂ5!OÂ5Ðz9í7 ÷Â5HN4#,ÕÂ0 ]i9^iÒQÖ PWM / 0ΣY§PWM ï"_åO' `ÕÂ0 7¿i óâÂ6óâ÷C7¿i #óâÂ6'(Öa^íab PWM ø 4a^í"øÚWwx ÓoÚiPâ0Gc<4 âÝÞôz¡ÚWwx d*"ê# #R´ ] PWM À'£ÂãY§ÚXÕÒ£Âãev) À, ÐmÂ6i{àÍ ]Í»â PWM off Õ¢ÕÂ0 6UÓÚÚÂ5ÙWLKf #góâ¥UÓÚÚÂ57 ¿iN7»ÕÂ0 7¿i #i9] a^íÚW wx ]]ÕÖôz;hUABi" R. C. Becerra, T. M. Jahns, and M. Ehsani [9] *¥2_ÕÂ0 ðW9 "&MóâoÚi"m@4âÕÂ0 Ó7¿NïÕÂ0 jX6Ðz2ðWíâðW6 V Þ÷Ôè6 V úà¥oÚ #z V ^ðW?ßèV]|ò 30 -wx¡¢U]4 ¯ôzØOPÚWÛ°ÚWklmjîôz¡]ïð W?ß|Á.÷×wx¡¢]*dÆ1oÚ4#"& no øC7¿ðWí62=oÚNïðWíèV2 ¡¢¤0(D÷èV¡¢zßY6óâ7¿iøî#ú ] Ðmno øC7¿i" K. Y. Cheng, and Y. Y. Tzou [10] *¥2_ßWàÚWCí#ÚWCí no_pÁÒ7éßí|«Ö_éßíÞ÷PâÝÞÂuv 30 -ÚWwx<m@¢DîÒ¹ V¡ P (k) ! N (k) Wq\ rs Óéßíéßítñ!tWq r ! r âÕÂ0 \rÓ ¡ ( Â56m 6}\6 )\géßí P (k) Y6] r z´uå3÷ ÕÂ0 rÓ ( Â56m\6} 6 )ê P (k) éß÷6N ÝÞôÂuv 60 -ì¡¢ #wxÝÞôÂuv 30 ¡¢gï P (k) ÕÂ0 rÓ¡%]f r z´ÒßN r = 2r â P (k) ÒßÚ7¡ú¹ÝÞv\oÚ¡¢iÕÂ0 int. th. th. i. d. i. i. d. i.
(35) M 1 ó ôQ 6 rÓ¡Æ(m@w}g4Ö N (k) éßíMÞ" S.Ogasawara and H.Akagi [2] *¥]«ÖÝÞ/0Â6IJKL óâÕÂ0 7¿i¤z#"&g©ÕÖÕÂ0 ^q4xq ^ÝÞ'"<m@ÝÞoÚX¢ÂãY§m À,}> À ,¡Â&"ÀzyÂãzLIJKL)mÂ6i{àÍ g óâUÓÚÒ£ÂãzIJKL À,)]ÕÂ0 7¿ióâ"#i9U]êÝÞ»0°Øôz¡ÕÂ0 .z×êá9óâ7¿i «UìB2ä{ óâÂ6" J. C. Moreira [11] *¥2_¤ÖóâÕÂ0 7¿iU¤ìwx Â6oÚ"&"ÝÞVO: Y Ø|#NòÒ¤"øÙ=}^ Â&]ÚÂ5Ù=}^Â5Wg!u~Â5§ÐmðWé ]7÷ôÀÙ=}^â#6Ó7¿¡NÎEi^o Úi"#i9iÒ¤ìÁ°{ a^íZ[a^íÚWw x 2å'ØK¡Ù=}^A]Â5â9d©ªóâ (. Ù=}^K´4ÕÂ0 Y^Ùf )]#i9]ÝÞ BÁôz;hê#m@g©áÖÒÕÂ0 xØ^Â0Ã'" @½A«M 6,316,894 [12] XÒ]oÚóâÂ6 Y§noêø no *¥2_]Â69rÂ6 (mask circuit)gï Ðz#2rÂ6oÚóâÂ6N,no ÓC7 ¿iÝÞ\?ô" @½A«M 5,886,486 [13] *2_ßWàÚWCí]Þ 90 ÚWwx"#ÚWCínoÎ_éßí P .N .P .N . P .N " V¡ S .S .S Wq4ÙÚÂ5!ÚÂ5AB¤¥ P . P .P Wq éß S . S .S high ¡¢N .N .N Wq é ß S .S .S low ¡¢ #2_éßíéß¡¢¨4ÝÞ uvô 180 -¡¢Cè S m high ô low( ÕÂ0 Ó7¿ )%m N éß S low ¡¢â N éßÚ P 62¡N¹ ÝÞÁ ôÂuv 90 - #à¥oÚ |ï P 7N éßâ S m low ô high%m P éßâ P éßÚ N 62 ¡à¥oÚ |ï N 7ê P .N .P .N 0(U42. a. a. b. b. b. b. c. c. c. a. c. a. a. a. b. b. c. a. b. c. c. a. a. a. a. a. a. a. a. a. b. a. b. c. c. a. a.
(36) M 1 ó ôQ 7 #]«ÖÎ_éßíPâ¥ÎEi^Î_oÚ " @½A«M 6,111,372 [14] èé2_ÀA mask Â6# mask Â6 "¤¥2_ mask â mask low ¡óâÂ6|¤"óâ7¿ imÒÝÞ»0¡° ñå¡"øBÁÂ& #<no ¡¢U"BhZ[# # mask Â6ÝÞÂ& ÝÞÂ&ñå¡< mask low ¡¢U"ñå] no Ó C7¿" Ñå§ö'çÚÛÜè餥 OOàFÙOàIJ9 Oà²9¤¥ O Vcc ! GNDêÙOà²9 O Vcc F GND $InoMÙN O<t©èéì³]W¹ 1. ôzÞ⤥ (FG Signal Output) ~ Open-collector 2. ¤¥ (Alarm Signal Output) ~ Open-collector 3. z-ÄŤ+ (Speed Control Input) (a) ÿÄØ (Thermistor) (b) bôzØ (Two Speed Operation) (c) {^|}ÄzØ (PWM Signal) ØÂÁæÖÿÄ"&M/0ÛÜÝÞ<ÑÒ×ØÛÜ .ÂÖ.whÛÜÖ"ÿÄ"&m@Ð4«Ö¾ ÂûóâÇÿ-2)m PWM |}ÝÞÂ5Þ÷%}ÛÜôzÑ ([15] [21])" mÒYQRÐ4&X×ØÙÚá%3&ÛÜÝÞèé2$ß WàáâÄÅãäY!¯Ñå§ö'çÚÛÜèéY RïVóQÚ§èéi9^ßWàÚWCí$" 1.3. . YRÑÐ4&XÒ×ØÙÚá%3&ÛÜÝÞ]óâUÓÚ ÕÂ0 7¿ièé2_$áâí/0ÃÅ|.
(37) M 1 ó ôQ 8 Qáâí»09^wxÝÞÂuv 30 -ÃÅ] FPGA (2 ç.X 1.1 çWÙÚá%3&ÛÜÝÞáâÄÅÇ> 9#ÇZ92ÝßWý FPGA Ç|æÖ VHDL ! FPGA ãäèéPï 120 -ÎEi^/0m@^áâí/0ÃÅ ìLVt© !L2$ò¯#Çãä!$d/0Â6Z¾¥2 ] FPGA ãäÙÚá%3&ÛÜÝÞáâ/0Ç". 1.1: 1.4. . &XÝÞáâoÚÄÅ6oÚÄÅ{*¥DE9^×F iGH9M$ÝÞÂuv 30 -Pâ|ë©2Z[no Ó C7¿$" 2. $ IC ãäèémÒ$dÂ6gÖΣÂ6!ABíÂ6 UMYÓ IC ãä']÷×ð])*+ÛÜÝÞY'" 1..
(38) M 1 ó ôQ 1.5. . 9. YQR>9WÎ_ó"M2ó0Ã!Ñ.:;!Ó Ô$<.i9!Ç.QR=´!>9D4MKó¢DÙÚá% 3&ÝÞ£d9Ó!/0m@|,^>9'!çÚá%3&ÝÞ AB4MÙó¢DáâoÚÄÅãäL$i9noßWàÚWC í.{à -^MÙN Oèé4MÍóãät©
(39) ^. -no PèéQRST.Vãä !èét©^<. -²³4MóeS T>9^²³4MÎó²Q!UMÓÔ".
(40) !"#$ 2.1. !. YQRÖÙÚá%3&ÝÞ ( îX 2.1 W ) 4 9 12 LÙÚ ÝÞ ( £dVË_$dô 12 L )<
(41) î 2.1"$dô Løv-4 30 -m94£dVe4µe'O :µ8O:Vø 5 - #øÃv- 30 -! µiÚ 40 -<ù~eO:ù¢4mÒ£d|Oâ í #'()máâ/0"&M/¦ô!VÚXWõOê%} O:Â&&0igø2\g_Í0$dô1ÙÚá%3& ÝÞ©2}2igô". 10.
(42) M 2 ó ÙÚá%3&ÝÞ. 11. 2.1: ! (ROTOR) "! (STATOR) 2.1: # $%. 2.2. λr. 7.62 × 10−4 W b − turn. Ls. 0.136mh. Rs. 1.95Ω. J. 17 × 10−7 kgm2. Bm. 5 × 10−3 N tm/(rad/sec). M. 0.63mh. "#$%. ÙÚá%3&ÝÞÙ_VO:^ô'<VW XÁ`îX 2.2 W#ÝÞ Y #D8Â6X2Ú¨mÝÞD 8Âû.D8Â]^ÝÞô¡øÕÂ0 ! ( CèO: 'D8Âû^DÂÚ} )"< L ¹4D8Â6n Ý ÞÚ L !Ú!Ú¢¡ M êVÚÂ&Úi&+O n igV¡\Â&" p.
(43) M 2 ó ÙÚá%3&ÝÞ. 12. 2.2: "!&' ÙÚá%3&ÝÞ¢ß!}ßV¡îÒ : n¹O V , V , V : a,b,c ÙÚÚÂ5 i , i , i : a,b,c ÙÚÚÂ& e , e , e : a,b,c ÙÚÕÂ0 L : VO:6 M : VO:¡6 R : VO:û£6 ω : ÝÞôz θ : ôvK : ÕÂ0 ?ß P : ÝÞLß T : ÝÞô_ K : _?ß T : ô_ J ¹ÝÞ¤ B ¹ÝÞû¥¦ß an. bn. an. bn. a. b. p. r. r. emax. e. t. L. m. cn. cn. c.
(44) M 2 ó ÙÚá%3&ÝÞ 13 )m]'ÝÞ¢ßV¡NmZ§¨©Â5Vª!«¬ã0Vª WqÍ ¥ÙÚá%3&ÝÞÂui{à!Ãi{à" ()*+ . Van Vbn Vcn. . . R 0 0 = 0 R 0 0 0 R. ,-*+. . . . . ·. ia Ls −M −M ia · ib ib + −M Ls −M · ic −M −M Ls ic. . . . ea + eb ec. √ ib ic 3 2J 2Bm Te = Kt ((ia − − ) cos(θr ) + (ib − ic ) sin(θr )) = ω˙r + ωr + TL 2 2 2 P P. (2.1). (2.2). ./0(123+ (2.3) . . ea 2ω K r emax eb = P ec. 2.3. . cos(θr ) cos(θr − 2π ) 3 cos(θr + 2π ) 3. &'(. . (2.3). ÙÚá%3&ÝÞ$dô4m±®9Q¯ôô0 e'(£dV <ôWõ%}")m£dV'eO :«Ö$°¤+Â&Ó %} #êøô_«£dV Ð9V± #ø2_E(Ö
(45) Í0$dô]ß©ÙÚá% 3&ÝÞô"ÝÞ4]Áô_ôÀ?æÖi9ÎE i^/0<Y²³^´àÍ µîÒ¹.
(46) M 2 ó ÙÚá%3&ÝÞ V¡ô!VWõîX 2.3 W". 14. 2.3: θ θ &' r. s. ¶·MDa¸Vª ( Q N ¹O: )]7» F =N ·L·I ×B. (2.4). < I V¡O:'Â& L V¡O:'F Õ8hB V¡ÀN V¡O:¹ß ÙÚá%3&ÝÞ_e T = F · r = N · L · I × B · r = Kt · I. (2.5). < K V¡_?ß r V¡
(47) Y t. B ! θ ,θ v-§]Í» r. s. B = B(θr , θs ) = Bmax · cos[P/2(θr − θs )]. (2.6).
(48) M 2 ó ÙÚá%3&ÝÞ < P V¡ô'Lß θ V¡ô']2iXViv-H θ V¡V']2iXViv-H. 15. r. s. ïà (2.6) ¹+à (2.5) ÐmÍ]7÷ Kt = 6 · N · Bmax · L · r · sin(P θr /2). (2.7). Jà (2.7) ]Ó$ÙÚá%3&ÝÞ_?ß K "õöôô0ê sin ^}ý" t. /012. ÎEi^/0<ÙÚO: Àià¤}]W 120 -ÎEi^/ 0! 180 -ÎEi^/0" 120 -ÎEi^/04]] ÀÚO:p <Ò/0ÝÞ ( 2ÚÂ&¤+2ÚÂ&¤¥B2ÚY6 ) 180 -ÎEi^/0e] ÀÙÚO:p<Ò/0ÝÞ ( <Ú Â&¤+B2ÚÂ&¤¥4°4<ÚÂ&¤¥B2Ú Â&¤+ )" [120 -ÎEi^/0m@ ] V¡ÙÚá%3&ÝÞô!V56WõîX 2.4 W". 2.4: / !"! 45.
(49) M 2 ó ÙÚá%3&ÝÞ 16 X 2.5 âÙÚá%3&ÝÞô¡Wq S1,S2,S3 Ù_VWõ ÷ K õöÂuv!Ãv}ý^qX ( Âuv / Ãv =pole ßÑ /2=6]Âuvº 360 -Ãvgº 60 -Uú4¢ÝÞgô 60 -) t. 2.5: 6 K ( 7869 :degree:;869 :g*cm/A) t. X 2.6 S1,S2,S3 Ù_V] ÀÚO:p<ÒK õöÂuv }ý^qX" t.
(50) M 2 ó ÙÚá%3&ÝÞ. 17. 2.6: <'=>?( K ( 7869 :degree:;869 :g*cm/A) t. QÙÚá%3&ÝÞ¤¥ô_v)Á6m´à T = K · I ]7»'(ï K v)Á6 #)mX 2.6 ^qX]ò @noÂ&¡¢iî 2.2" t. t. 2.2: 120 @ ABC , À]Â&ig Âuv,2 S2 → S3 [-30,30] ,K S1 → S3 [30,90] ,Ù S1 → S2 [90,150] ,Í S3 → S2 [150,210] , S3 → S1 [210,270] ,Î S2 → S1 [270,330] ,2 , , §»noi -30,30,90,150,210,270,330.
(51) M 2 ó ÙÚá%3&ÝÞ 18 m 2.2 ]7»âÝÞÂuv [-30,30] ¢ T Á 6 #Â& Àig'( S2 → S3êâÝÞÂuv [30,90] ¢ Â& Àig'( S1 → S3". #g7»ÙÚá%3&ÝÞ¼2_,i2«ÖÂ&n o)]Þ÷Áô_ ( îX 2.7)". 2.7: 120 @ DE -ÎEi^ãôm@ ] <Í ià! 120 -ÎEi^ÀÁX 2.8 S1,S2,S3 Ù_V] À ÙÚO:p<ÒK õöÂuv}ý^qX" [180. t.
(52) M 2 ó ÙÚá%3&ÝÞ. 19. 2.8: <'=>( K ( 7869 :degree:;869 :g*cm/A) t. }@ÙÚá%3&ÝÞ¤¥ô_v)Á6)mX 2.8 ^qX]ò@noÂ&¡¢iî 2.3" 2.3: 180 @ ABC , À]Â&ig Âuv,2 S2 → S3 [0,60] S1 → S3 ,K S1 → S3 [60,120] S1 → S2 ,Ù S1 → S2 [120,180] S3 → S2 ,Í S3 → S2 [180,240] S3 → S1 , S3 → S1 [240,300] S2 → S1 ,Î S2 → S1 [300,360] S2 → S3 ,2 , , §»noi 0,60,120,180,240,300,360.
(53) M 2 ó ÙÚá%3&ÝÞ 20 g7»ÙÚá%3&ÝÞ¼2_,i2«ÖÂ&no) ]Þ÷Áô_îX 2.9 W". 2.9: 180 @ DE 2.4. ) *+,. îM2óÙÚá%3&ÝÞMM¸¹çÚÛÜÝÞÿ . #YïO2E¢DÙÚá%3&ÝÞ!çÚá%3&ÝÞH½". 3456 çÚá%3&ÝÞÚì2¾ïðñòóâôWõ]Þ÷oÚÄÅ Ñ4ïðñò©ªFÿê¿Àî#ïÓÝÞá9ô* >ÝÞ"ELÙÚá%3&ÝÞQæÖáâoÚÄÅ"& ],ïðñòYU]%Á ïðñò¿Àê÷üÝÞ ".
(54) M 2 ó ÙÚá%3&ÝÞ. 21. /0789. Ñå§ö'çÚÛÜÝÞ/0í]WbLØ (bipolar) FçLØ (unipolar) Ä>9îX 2.10 WçÚÛÜÝÞ/0í>9". 2.10: 6F1G ( HIJKL:MI6KL ) mX 2.10 ]7»bLØ/0íìÍ_ÂãçLØ/0íeì _Âã·bLØ/0íY'AçLØ/0í_Âã 48´'U"AçLØ/0í"ÙÚá%3&ÝÞ/0íÙ ÚbLØîX 2.11 W". 2.11: F1G. :;<=12 çÚá%3&ÝÞ£dVeOià]WfgeO![geO îX 2.12 W"ÙÚá%3&ÝÞ£dVeOiàfgeO".
(55) M 2 ó ÙÚá%3&ÝÞ. 22. 2.12: 6NO"!PQ+ ( HIRSPQ:MI8S PQ ). >?@ABC mÒYQR4]UÓÚÕÂ0 PâÝÞoÚi]\ ,'ïæ] 120 -ÎEi^/0ÙÚá%3&ÝÞî#ß©mUÓÚ7 »ÕÂ0 ( mX 2.2 ]7»ÕÂ0 NUÓÚ!O Â5H )"i)ABçÚ!ÙÚá%3&ÝÞô_`^]ï ô_`^\
(56) ýX 2.13 WÙÚá%3&ÝÞ 120 -ÎEi^\
(57) ýô_`^X". 2.13: 120 @T$U DE.
(58) M 2 ó ÙÚá%3&ÝÞ ô_`^é´àîà (2.8) W" T orque ripple =. Tmax − Tmin ∗ 100% Tmean. 23. (2.8). #]é¥ÙÚá%3&ÝÞô_`^ √ 1 − 3/2 ∗ 100% = 14.03% T orque ripple = 3/π. X 2.14 WçÚá%3&ÝÞ\
(59) ýô_`^X". 2.14: 6T$U DE. #]é¥çÚá%3&ÝÞô_`^ T orque ripple = 1 − 0 ∗ 100% = 157% 2/π. ABX 2.13 FX 2.14 ]7»ÙÚá%3&ÝÞçWð¤¥_^ ôzÂÅ'¨ÒçÚá%3&ÝÞê ÙÚá%3&ÝÞô_`^ ×ÒçÚá%3&ÝÞ]ÙÚá%3&ÝÞ -0'"AçÚ á%3&ÝÞ×'U"AçÚá%3&ÝÞh".
(60) M 2 ó ÙÚá%3&ÝÞ. 24. D>>?. ÝÞô2ÄÃö2,Vig!VXÿ m#ÿ "ø 2Ä-Äô_Åô_°¬ôô_ (cogging torque)#Ä-Äô_ 4mÒVÅ72_LÒLûÓ}ýê Æw ûô_{0êò_ÝÞL¬ôô_4V_Løûô_{0L ¯"&X²9XÝÞê¬ôô_ÚXÒôigLù¢ÃvÇ$7Õ}ý^q<7ÕÁ×mÝÞLß!ßV" çÚá%3&ÝÞ/0'"hi ( á9ô ) #'() m¬ôô_|òM hi X 2.15 FX 2.16 WqçÚá%3& ÝÞÓhi! hiô_X". 2.15: 6VWXY D.
(61) M 2 ó ÙÚá%3&ÝÞ. 25. 2.16: 6Z[XY D ¬ôô_])m%}.|òÅDiàM%}4¬ôô_" Óz-!WõÄÅGHU" Vò9§¦Ó¤Ôâ È0!]`Òò_ǤµV". ÙÚá%3&ÝÞ/0¤"hi ]èé6¡ ]É×جôô_]¬ôô_Ó"X 2.17 WÙÚá %3&ÝÞô_X".
(62) M 2 ó ÙÚá%3&ÝÞ. 26. 2.17: D. E+FG ]º½×ؽ¾ÛÜ¿ Papst 'ÓøKÊ[&Üj<$² Ę̈ 172φ X51mm"èWq 6248NH( çÚÛÜÝÞ ) 6248NTD( ÙÚ ÛÜÝÞ )<,ABî 2.4 W" 2.4: 6248NH 6248NTD \]^_ ÍÑ 6248NH 6248NTD ÝÞÚß 1 3 l(Â5 (Volt) 48 48 ¤¥t´ (W) 26 50 l(ôz (rpm) 4000 5100 ÁÛ5 (Pa) 480 600 ÁÛ& (m /h) 282.5 353 3. X 2.18 W 6248NH ! 6248NTD Û5Û&,kOX"mX 2.18 ]Î¥ 6248NTD Û5Û&l(;hno 6248NH Û5Û&l(;.
(63) M 2 ó ÙÚá%3&ÝÞ 27 h #ÙÚá%3&ÝÞÛ5^Û&,'"AçÚá%3&ÝÞ ". 2.18: `\]aQ ( H/ curve3 I 6248NH `\]a Q:M/ curve2 I 6248NTD `\]aQ ) ϯ' ]ò@¥ÙÚ!çÚá%3&ÝÞ>9^,AB î 2.5 W" 2.5: 6 b\]^_ ÍÑ ÙÚá%3&ÝÞ çÚá%3&ÝÞ /0í bLØ çLØ.bLØ Âã_ß 6 2°4 eOià fg fg°[g -0 ô_`^ =14.03% ô_`^ =157% ]-0B× ]-0BÁ ÅØè驪 ÅØèéÐÑ 6èé É×ج »0hi ô_N 2ä¬ô_BÁ çWð¤¥_ BÁ B× ôzÂÅ Úôz ¤«Òôz F8´ hF üFØ.
(64) %&' ()*+,-. 3.1. "-%-./. YQR*¥ÝÞÂuv 30 -Pâ9Ð4«ÖÝÞÕÂ0 ,¹âÝÞ\?ô¡î³ÕÂ0 Ó=7¿=7¿ ¡¢'¢ÒNÝÞôÂuv 60 -¡¢oÓÔ¢âÕÂ0 Ó7¿âÝÞôÂuv 60 -ú"¥$2=7¿"Pâ ÝÞÂuv 30 -i9ÕÖ'*¥Ä92Ä4]DE9$ ê2Ä4]×FiGH9$" 3.1.1. @A$. DE94]éßiàMéÕÂ0 Ó=7¿i¡¢ T. ÝÞÂuvô 30 -¡¢ , T/2 #âÕÂ0 Ó7¿ ¡Y6éß T/2 ¡¢Nnoi" 28.
(65) M 3 ó áâoÚÄÅãäL$i9 29 X 3.1 WDE9l(WX< V .V .V WqÙÚÂ5 u .v .w WqÙÚÂ5!OÂ5AB E UÓÚ ÚÂ5!OÂ5ABßW ( m u .v .w ! )C F C é ßíWq éß E ÆW high F low ¡¢S oÚ â S Æ W%}N¹oÚ0(θ ÝÞôÂuv"mÒ E NÕ 0 !7Â5ÆWABßW #])m E ,4Õ%}M Í»ÕÂ0 4Õø7¿" u. d. d. v. w. d. d. d. d. d. d. p. c. c. e. d. d. 3.1: cd ef&'. n.
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