Permanent Magnet Synchronous Motor (PMSM) Design
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1 Peranent Magnet Synhronou Motor (PMSM) Deign
2 Part 1 General Conideration
3 Peranent Magnet (PM) Motor Charaterized by peranent agnet on rotor Known for it ipliity and low aintenane No opper lo on rotor High effiieny
4 Exploded View of a PM Motor J. R. Henderhot and T. J. E. Miller, Deign of ruhle Peranent Magnet Mahine nd Edition, p. 44, Motor Deign ook LLC, 010.
5 Inner Rotor Poibilitie (1) urfae radial agnet urfae parallel agnet breadloaf agnet ring agnet
6 Inner Rotor Poibilitie () (e) IPM in Toyota Priu
7 Toyota Priu Hybrid Eletri Vehile (HEV) 3 1. Four ylinder obution engine;. Generator/tarter; 3. Eletri Motor; 4. Power plit devie (PSD) J. F. Giera, Peranent Magnet Motor Tehnology - Deign and Appliation, 3 rd Edition, p. 8, CRC Pre, 010. J. R. Henderhot and T. J. E. Miller, Deign of ruhle Peranent Magnet Mahine nd Edition, p. 34, Motor Deign ook LLC, 010.
8 Segented Magnet in Large PM Rotor J. R. Henderhot and T. J. E. Miller, Deign of ruhle Peranent Magnet Mahine nd Edition, p. 94 & 60, Motor Deign ook LLC, 010.
9 Rotor Skew tepped agnet
10 Magnetization Profile parallel agnetization radial agnetization ot popular radial ine agnetization ine angle or ine diretion agnetization
11 Halbah Array (1) R. Krihnan, Peranent Magnet Synhronou and ruhle DC Motor Drive, p. 5-30, CRC pre, 010.
12 FEA Halbah Array ()
13 Halbah Array (3) Airgap Flux Denity Rotor i outide
14 Typially V V Stator Volue and Size D l T V The unit for D and L i inh. If we deign D=L, we have the tator bore (inner) diaeter etiated ~ 9 in / (ft lb) for 10hp or le (air ooled) ~ 5 in / (ft lb) for 10hp or ore (water ooled) T 1 D (TV ) 3 etiated 0 P out We an pik up D loe to D etiated.
15 Stator Core Deign (1),, i i eff pk g i i ore pk ore l k Pd l D l k d (), i i eff pk g i i tooth tooth l k t l l k t ) (, 0 eff pk g ae i ae g eff tooth l d r l pk g eff ae ae pk g eff P a i a g eff per half pole pith gap ore l P D d P l D d r l, / 0, / 0, ) o( ) ( Take tooth pk ore t 8 0.,.5 0, P D d 6 1.
16 Effet of Pole Nuber on Yoke Flux Denity Finite Eleent Analyi with the ae d J. R. Henderhot and T. J. E. Miller, Deign of ruhle Peranent Magnet Mahine nd Edition, p. 106, Motor Deign ook LLC, 010.
17 V where, rated Nuber of Turn per Coil pk Nˆ k a f Nˆ 4.44 f Nˆ w e a pk Dl w g, P N /1.1 a k k p k d k g, pk e a Na PqN / C g, pk N a i the nuber of erie turn per phae of arature winding C i the nuber of parallel iruit of arature winding N 1.1V f e, rated qk w C g, pk Dl Conider leakage flux
18 Stator Slot Deign t d d 1 0 b0 d General Conideration D S 0.4 t 0.6 3t d 7t b Define t b d d 0 (0.1 ~ 0.5) b 0 (0.1 ~ 0.5) b 1 (0.1 ~ 0.5) b
19 Stator Condutor Size Stator urrent denity J, opper I a, rated S a / C where S a i tator (arature) ondutor ro etion area and an be deterined fro the above forula together with: Air - ooled : 400A/ J, opper 800 A/ S a I a, rated / J, opper C
20 Peranent Magnet Saarian Cobalt (SCo) Operating teperature of up to 350ºC nd tronget rare earth agnet Neodyiu Iron oron (NdFe) Operating teperature of up to 150ºC Stronget rare earth agnet
21 Peranent Magnet Propertie Fro Yeadon Handbook of Sall Eletri Motor
22 Rotor Peripheral Speed The axiu allowable peripheral peed of the rotor i a entral onideration in ahine deign. With preent-day teel alloy, rotor peripheral peed of 50,000 ft/in (or about 50 /) repreent the deign liit. 1 ft/in = /
23 Motor Loe (1) Copper lo Typial P Cu I R Stray loe Eletrial phenoenon uh a kin and proxiity effet
24 Motor Loe () Core (Iron) Lo Hyterei lo Eddy Current lo P Iron h n f ( f ) e ( f ) 3 / Mehanial lo Windage lo Frition lo
25 Finite Eleent Analyi Fundaental haroni J. R. Henderhot and T. J. E. Miller, Deign of ruhle Peranent Magnet Mahine nd Edition, p , Motor Deign ook LLC, 010.
26 Part Surfae Mount Round Rotor Multi-Pole PM Motor Deign
27 Magneti Ciruit Analyi For a ulti-pole urfae ount rotor d D D a g Pole H gh d 0 g 0H d 0 g g A A g g d A g H A 0 g
28 Working Point for Peranent Magneti (1) Maxiu Energy Point r R H r 0H ( H H 0HR ) H 0 H r ( H H ) H H ( ) r To get (H) ax H 0, H H H
29 Working Point for Peranent Magneti () r 1 1. r r H 0 d g g Load Line: 0H P A A 0 H P i alled pereane oeffiient P d Ag Ag / g R P g g A A / d R P g Define: (1 ) H H Typially pik up: r P 0 H 1 r
30 Airgap Magneti Field fro PM Rotor g, rotor P M g, rotor PM PM P M h1,3,5... Rh PM ebrae: PM PM P Rh rh o( h de) rh o( h d) PM PM / PM / rh o( h ae) dae ( )o( hae) d ae PM / PM / PM in h 4 h PM kph in h de eletrial angle de P d pith fator for the h th haroni
31 Phaor Diagra V net jx I S A S E R A Typially, deign o 1 at full-load for PMSM. in 1/3 ( =19.47 ) o that T (1 / 3)T o 0.94 full-load g, pk r, pk r, pk in 0.33 a, pk r, pk r, pk rpk, pull out 4 in PM
32 Air Gap Size and PM Thikne Fro: 4 Nˆ 1.5 I 0 a apk, Arated, gˆ total P Initial total effetive air gap ize: 4 Nˆ 0 a ˆtotal 1.5 apk, P g I A, rated Fro: Carter oeffiient gˆ k g' g' g d / total total total r g (1 ) g' d g' total total r P d g P 1 ( A A ) g r
33 Effetive Air Gap where the Carter oeffiient gˆ k g total total ' k b b g ' b atan ln 1 g ' b g ' 0 0 total 0 total 0 total approxiately k 5 g ' b 0 total b 0 t d d 1 0 b0 d g total
34 Rotor Sizing Total rotor diaeter, inluding agnet D r D g Rotor inner diaeter D D d i r
35 Part 3 Two Pole Super High Speed PM Motor with Magnet Inerted in Rotor Shaft
36 Prototype Rotor i aebled by heating and ooling. Rotor i welded and well balaned after aebly.
37 Air Gap Size For a -pole PM rotor g H H D 0 S D r N g eff eff g r g H D 0 eff 0 r ( A A ) D r / P g eff 0 H Carter oeffiient Dr Dr Dr D geff k( g ) g r r g 1 1 D r D 1 D ( ) k k (1 ) P D r r r k k 1 1 k P r D D D g r r Define: (1 ) H H Typially pik up: r P 0 H 1 r
38 gˆ where the Carter oeffiient k Effetive Air Gap k g total total b b g ' b atan ln 1 g ' b g ' approxiately 0 0 total 0 total 0 total ' Dr Dr gˆ total geff, g' total g r r k 5 g ' b 0 total b 0 t d d 1 0 b0 d g total
39 Exaple - Speifiation Deign a kw, 100krp, NdFe-38 PMSM, pole 36 V terinal voltage, Y onneted, 90% effiieny.
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