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NAOSTE: Nagasaki Univesiy's Ac Tile Auho(s) Opeaion chaaceisics impoveme hal-wave eciie sel exciaion Hiayama, Taashi; Higuchi, Tsuyosh Ciaion CEMS 7, pp.8-8 ssue Dae 7- URL Righ hp://hl.hanle.ne/69/6 (c)7 EEE. Pesonal use o his pemission o epin/epublish hi puposeso o ceaing new collec seves o liss, o o euse any c woks mus be obaine om he EEE. This ocumen is ownloae hp://naosie.lb.nagasaki-u.ac.jp

Poceeing o nenaional Coneence on Elecical Machines an Sysems 7, Oc. 8~, Seoul, Koea Opeaion Chaaceisics mpovemen o Linea Synchonous Moo wih Hal-Wave Reciie Sel Exciaion Taashi Hiayama *, Tsuyoshi Higuchi, Takashi Abe, Jun Oyama Depamen o Elecical an Eleconic Engineeing, aculy o Engineeing, Nagasaki Univesiy, Japan - Bunkyo-machi, Nagasaki, 8-8 Japan Absac This pape pesens a new conol meho in oe o impove he opeaion chaaceisics o a novel linea synchonous moo wih hal-wave eciie sel exciaion. is, we popose he new conol meho by aiion o he elucance hus acoss ull spee ange o he novel linea synchonous moo. Then, he opeaion chaaceisics o he popose conol meho ae heoeically esimae an compae wih he pevious conol meho.. NTRODUCTON A linea synchonous moo (LSM) has been use in inusy applicaion such as anspoaion an anse sysem []. Because he eiciency is high, a pemanen magne ype LSM is wiely use. a -axis cuen lage enough o ose agains he pemanen magne lux is povie, he iel weakening opeaion becomes possible. Howeve, a coppe loss cause by he -axis cuen eceases he eiciency. n he pevious pape, we popose a novel LSM wih halwave eciie sel exciaion []. The iel wining is sho cicuie hough a ioe an he amaue wining is convenional -phase winings. he ampliue o balance - phase cuens is moulae by an alenaing wave wih bias euency, he pouce magneomoive oce pulsaes a bias euency an moves a synchonous velociy. This pulsaing magneomoive oce inuces he elecomoive oce wih bias euency in he iel wining. The iel exciaion is obaine by eciying he elecomoive oce wih he ioe o he iel wining. As he iel lux o he novel LSM is conollable by only vaying ampliue o he amaue cuen, he iel weakening opeaion is peome easily. We esigne an buil he expeimenal machine [] [] an measue he basic chaaceisics [] [6]. An, we popose a maximum huspe-cuen conol by aiion o he elucance hus a he consan hus egion [7] an a maximum hus-pe-volage conol in oe o expan he opeaing ange [8]. Howeve, i ha a poblem wih he swiching o hese conol meho because he elucance hus was no use in he maximum hus-pe-volage conol. This pape pesens a new conol meho by aiion o he elucance hus acoss ull spee ange. We popose, is, he conol meho o he iel weakening opeaion an he maximum hus-pe-volage conol wih he elucance hus. Then, he opeaion chaaceisics ae heoeically shown by calculaion an compae wih he pevious conol meho.. LSM WTH HAL-WAVE RECTED SEL EXCTATON A. Sucue o he Novel LSM igue shows he sucue o he LSM wih hal-wave eciie sel exciaion. The LSM consiss o ollowings; () A LSM move whose iel wining is sho cicuie hough a ioe. () A LSM sao wih convenional -phase amaue winings. () A conol sysem ha opeaes base on hal-wave eciie sel exciaion pinciple. () A PWM invee. B. Pinciple o Sel Exciaion an Thus Geneaion The ollowing -phase cuens, which synchonize wih he move posiion, ae supplie o he -phase sao winings; i i a b = A = A i = A ( )sinθ + ( )sin ( )sin cosθ ( θ π ) + cos( θ π ) ( θ π ) + cos( θ π ). () c whee, θ = πx / τ, x : move posiion, τ : pole pich. The is em o () is exciaion cuen, which vaies wih sine o he move posiion an whose ampliue is moulae by a uncion A (). Whee, A () is a iangula wave uncion wih he eecive value o an bias euency ω b. The secon em o () is hus cuen componen. x a -c b -a c -b a PWM Conol i a i b i c nvee Sysem ig.. Sucue o he novel LSM. v s - 8 -

A () A ( )sinω cosω ig.. Euivalen moel on he -axis. i a igue shows he -axis moel o he novel LSM. The - axis cuen i an -axis cuen i become; i = A ( ). () i = Then, lux linkage M i is geneae on he move -axis. The iel cuen i is inuce in he iel wining o keep he maximum value o he lux. The lux linkage λ is he sum o wo lux linkages; M i povie by he sao exciaion cuen an L i by he move iel cuen. As a esul, he ollowing lux linkages ae geneae on he -axis winings. λ = Li + M i λ = Li () λ = M i + L i whee, λ, λ : -axis lux linkage, λ : lux linkage wih he iel wining, L, L : -axis sel inucance, L : iel wining sel inucance, M : muual inucance. he ime consan o he iel wining is lage enough, he lux linkage wih he iel wining λ is kep consan. The hus is obaine om he ollowing euaion; π = ( λi λi ). () τ ig. shows above-menione cuens, lux, an hus waveoms. Though a pulsaing componen exiss in he hus as shown in ig., pacically i is no seious poblem by choosing he bias euency suiably.. BASC EQUATONS O THE NOVEL LSM The novel LSM has he saliency o L > L. o using he elucance hus ue o he saliency, he ollowing iec cuen is ae o he -axis cuen i o (). i = A ( ) + () Assuming ha he wining esisance euals zeo, hen he aveage hus avg is eive om () as ollows; π avg = ( σ ) L + ( L L ). (6) τ whee, σ : leakage coeicien. i ig.. Cuen, lux, an hus waveom. L i M i The is em o (6) is aveage hus geneae by hal-wave eciie sel exciaion pinciple. The secon em o (6) is he elucance hus. Also, he eecive value o he amaue cuen an he eminal volage V o, which he wining esisance is assume o be zeo, ae given as he ollowing euaions an conine o hose limi values. = + + n (7) V o = 9 π { ( ) } + ( ) + 6 ω σ L ωσl ω σl ( ω L ) ( σ ) + ( ωl ) + ( L ) Vom + 6 ω (8) Whee, ω is he synchonous angula velociy, n is he ae cuen, V om is he volage limi an given om he ollowing euaion; Vom = Vn a n. (9) whee, V n : ae volage, a : amaue wining esisance. V. CONTROL METHOD UTLZNG RELUCTANCE THRUST n he novel LSM, he coniion o o he maximum hus-pe-cuen conol by aiion o he elucance hus is given as ollows [7]; M M 6 L L = + +. () ( L L ) 8( L L ) b - 8 -

Thus avg (N) Volage Vo (V) V om..... Exciaion cuen (A) ig.. Eecs o on he hus an he volage. TABLE RATED VALUES, WNDNG RESSTANCES AND NDUCTANCES em Value (Uni) Rae cuen n (A) Rae volage V n (V) Amaue wining esisance a 9.9 (Ω) iel wining esisance.9 (Ω) -axis inucance L.7 (H) -axis inucance L.8 (H) Move sel inucance L.78 (H) Muual inucance M.6 (H) n he consan hus egion, is ixe an he maximum hus-pe-cuen conol is applie. We heoeically examine a new conol meho by aiion o he elucance hus acoss ull spee ange. A. iel Weakening Opeaion is, he iel weakening opeaion uilizing he elucance hus is examine. ig. shows eecs o on he hus an he volage a he amaue cuen =.A when is conolle by (). o chaaceisic calculaion, he ae values an moo paamees o he expeimenal machine ae use. These paamees ae shown in Table. n he iel weakening opeaion, is conolle so as o conine V o o V om accoing o he velociy as shown in poin A an B o ig.. B. Maximum Thus-pe-Volage Conol Nex, he maximum hus-pe-volage conol by aiion o he elucance hus is examine. n he maximum hus-pevolage conol, we maximize he aio o he hus o he volage wih keeping he volage o is limi value an popely conolling he amaue cuen. The maximum hus-pevolage conol is ealize by conolling accoing o,, an obaine om he ollowing euaions. V o = Vom avg ( Vo, ω,, ) = () avg ( Vo, ω,, ) = Thus (N) Volage Vo (V) Cuen,, (A) Amaue cuen (A) 6 8 6 V o Maximum huspe-cuen conol iel weakening opeaion V om =.V Maximum hus-pevolage conol......... Velociy v s (m/s) (a) Thus an volage chaaceisics. n =.A......... Velociy v s (m/s) (b) Cuen chaaceisics. ig.. Calculaion esuls o opeaion chaaceisics. igue shows he calculaion esuls o he opeaion chaaceisics. The calculaion coniions ae as ollows; a consan hus egion is.a, ω b is Hz, V om is.v. As shown in ig., he iel weakening opeaion is applie a v s =.m/s, he maximum hus-pe-volage conol is applie a v s =.8m/s. is conime ha he conol meho is well swiche om he maximum hus-pe-cuen conol o he iel weakening opeaion. Howeve, hee is a poblem ha he hus,, an ae isconinuous when he conol meho is swiche om he iel weakening opeaion o he maximum hus-pe-volage conol. n oe o solve his poblem, we popose he enewe maximum hus-pe-volage conol. C. Renewe Maximum Thus-pe-Volage Conol n he enewe maximum hus-pe-volage conol, is conolle by (). ig. 6 shows he eecs o on he hus an he amaue cuen a he volage V o =.V an v s =.m/s. n he enewe maximum hus-pe-volage conol, an he amaue cuen ae conolle so as o maximize he hus as shown in poin C o ig. 6. igue 7 shows he calculaion esuls o he opeaion chaaceisics when he enewe maximum hus-pe-volage conol is applie. As shown in ig. 7, he maximum hus-pevolage conol is applie a v s =.m/s. is conime ha - 8 -

Thus avg (N) avg V o =.V..... Exciaion cuen (A) ig. 6. Eecs o on he hus an he amaue cuen. he conol meho is well swiche om he iel weakening opeaion o he maximum hus-pe-volage conol by applying he enewe maximum hus-pe-volage conol. igue 8 shows he compaison o he hus chaaceisics o he popose conol meho wih ha o he pevious conol meho [8]. n hese chaaceisic calculaions, he same volage limi, cuen limi, an moo paamees ae use. is conime ha he hus chaaceisics o popose conol meho is impove in compaison wih he pevious conol meho. V. CONCLUSONS n his pape, we popose a new conol meho by aiion o he elucance hus acoss ull spee ange. By applying he popose conol meho, he conol meho was well swiche om he maximum hus-pe-cuen conol o he iel weakening opeaion an om he iel weakening opeaion o he maximum hus-pe-volage conol. Also, we conime ha he hus chaaceisics o popose conol meho wee impove in compaison wih he pevious conol meho. REERENCES [] M. Kaia, Tens o linea ive echnologies in inusy applicaions, T. EEE Japan, Vol. 9-D, No., pp. 76-78, Mach 99. [] J. Oyama, T. Higuchi, T. Abe, H. Tanaka, an E. Yamaa, A novel linea synchonous moo wih hal-wave eciie sel exciaion, The Thi nenaional Symposium on Linea Dives o nusy Applicaions, Japan, pp. -8, Ocobe. [] J. Oyama, T. Higuchi, T. Abe, S. Kuboa, an T. Hiayama, Pinciple an analysis o a novel linea synchonous moo wih hal-wave eciie sel exciaion, Poc. o he 7h nenaional Coneence on Magneically Leviae Sysems an Linea Dives, No.PP79, pp. - 6, Sepembe. [] J. Oyama, T. Higuchi, T. Abe, T. Hiayama, an S. Takahashi, The move esign o hus ipple eucion o hal-wave eciie selexciaion ype linea synchonous moo, Poc. o he Japan nusy Applicaion Sociey Coneence, Japan, Vol., pp. 9-98, Sepembe. [] J. Oyama, T. Higuchi, T. Abe, an T. Hiayama, Basic chaaceisics o linea synchonous moo wih hal-wave eciie sel-exciaion, Poc. o he Japan nusy Applicaion Sociey Coneence, Japan, Vol., pp. 6-68, Augus. C Amaue cuen (A) Thus (N) Volage Vo (V) Cuen,, (A) Amaue cuen (A) 6 8 6 V o Maximum huspe-cuen conol iel weakening opeaion V om =.V Maximum hus-pevolage conol......... Velociy v s (m/s) (a) Thus an volage chaaceisics. n =.A......... Velociy v s (m/s) (b) Cuen chaaceisics. ig. 7. Opeaion chaaceisics une he enewe conol meho. Thus avg (N) 8 6 Popose conol meho Pevious conol meho V om =.V n =.A......... Velociy v s (m/s) ig. 8. Compaison o he hus chaaceisics o he popose conol meho wih ha o he pevious conol meho. [6] T. Hiayama, J. Oyama, T. Higuchi, an T. Abe, Thus chaaceisic o hal-wave eciie sel exciaion ype linea synchonous moo wih a move esigne o hus ipple eucion, Poc. o he Japan nusy Applicaion Sociey Coneence, Japan, Vol., pp. 9-9, Sepembe. [7] T. Hiayama, J. Oyama, T. Higuchi, an T. Abe, Maximum hus conol o linea synchonous moo wih hal-wave eciie sel exciaion a consan hus egion, Poc. o he 6 JAS Con., Japan, Vol., No. -, pp. /7-/, Augus 6. [8] J. Oyama, T. Higuchi, T. Abe, an T. Hiayama, Conol meho o linea synchonous moo wih hal-wave eciie sel exciaion a high spee egion, Poc. o he 6 nenaional Coneence on Elecical Machines an Sysems, Japan, No. LSB-, Novembe 6. - 8 -