Design of composite digital filter with least square method parameter identification

Transcription

1 Intenational Jounal of eeach in Engineeing and Science (IJES) ISSN (Online): , ISSN (Pint): Volume 3 Iue ǁ Decembe. 5 ǁ PP.-4 Deign of compoite digital filte with leat quae method paamete identification ZHANXing,, ZENG Guohui, WANG Qingzhen, OU Sheng (School of Electonic and Electical Engineeing, Shanghai Univeity of Engineeing Science, Shanghai, China) (School of Electonic Infomation and Electical Engineeing, Shanghai Jiao ong Univeity, Shanghai, China) ABSAC:Moto contol opeation in the poce of paamete identification peciion i uceptible to intefeence ignal powe fequency and high ode hamonic, the influence of the commonly ued filte i often only filte out of ome intefeence, lead to identification of paamete i not pecie contol and ultimately affect the ytem unning effect, thi pape put fowad the compound digital filte and the ecuive leat quae method combining algoithm wa applied to paamete identification of induction moto, deigned a leat quae paamete identification of compound digital filte, and uing S - function in MAAB pogamming imulation validation. he imulation eult how that the deign of the leat quae paamete identification compound digital filte can effectively impove the peciion of paamete identification, impove pefomance of vecto contol ytem. Keywod: ecuive leat quae method, paamete identification, compoite digital I. INODUCION Fo aynchonou moto with vecto contol ytem, the accuacy of the moto paamete ha a geat influence on moto contol pefomance. hee paamete mainly include moto tato eitance, tato inductance, oto eitance, oto inductance and mutual inductance. When the paamete ae not accuate, the paamete of the moto pefomance will be led to degaded o even out of contol. It can be een that the accuate identification of moto paamete i paticulaly impotant to the vecto contol of aynchonou moto. Paamete identification of aynchonou moto ae mainly off-line identification and online identification method. Online identification method i mainly to identifytato and oto eitance which have lage timevaying duing moto unning poce. Online identification method mainly include model efeence adaptive, full ode obeve method, the leat quae method, etc. Online identification [] i advantageou to the pefomance of the contol ytem, o the coeponding eal-time i needed to be joint to ealize algoithm. In ode to pevent and eliminate the influence that the intefeence of poceo powe poduced on micopoceo contol ytem [3]. Not only the hadwae filteing can be ued, but alooftwae filteing can employed. In many contol ytem with low ignal [4]. he conventional hadwae C filte i had to be ued to deal with the intefeence of low ignal (the hadwae cicuit i equiing not too big), jut a powe fequency. hu, with the help of the poceo fat opeation. Uing oftwae filteing method may poduce moe obviou effect [5]. In thi pape, a ecuive leat quae method baed on compoite digital filte i popoed to identify the paamete of aynchonou moto. he C low-pa digital filte and aithmetic aveage filte ae ued in Compound digital filte. In efeence [], ecuive leat quae algoithm fomula i a follow [6] : N N K N y n N N N ˆ ˆ ˆ K N P N N PN N P N E K N N P N II. HE DESIGN OF COMPOUND DIGIA FIE A the aithmetic mean filte ha a good effect on filte, o the aithmetic mean filteing i adopted in thi pape. he ampling numbe N in aithmetic mean filte i lage; a lot of hamonic intefeence ignal will be poduced. he low-pa filteing method hould be conideed o that fo moe than one fequency ignal i uppeed and attenuated. heefoe, the compound digital filte i combined by low pa filte and aithmetic aveage filteing, the elationhip between input and output i hown in figue. () Page

2 Deign of compoite digital filte with leat quae method paamete identification X n ow pa filte Un Aithmetic mean filte Yn Fig. he elationhip between input and output in compound digital filte. Clow-pa digital filte algoithm he digital filte i adopted to ealize low-pa filteing. Not only can achieve filteing effect and PCB layout pace can be aved, but alo the cot can be educed. C low pa filte i hown in figue. ui C u o Fig. C low pa filte C low-pa filte i imulated by digital,and the tanfe function i a follow: G Y X () Fomula (), i the time contant of the C filte, C.By the fomula can be eenc low pa filte i actually a filteing ytem with a fit ode lag. Will the dicetization, available Y k Y k X k (3) Y k i k time the filte output value Fomula(3), kt X i the k H ampling value; - / e tuctue; ifilteing moothing coefficient;, i the ampling peiod. ype (3) to imulate C digital low-pa filte, can ue the pogam implementation.. he aithmetic mean filteing algoithm Aithmetic aveage filteing i to find a the quae of the mallet, A function fo extemum pinciple In fomula (4), value; N i the ample numbe. Y k, o that the value of the eo between the ampling value of N min e i Y u X i i i N min Y k N N i X i (4) Y k i k time N ampling aithmetic mean value; Xi i the i H ampling III. MAAB SIMUAION AND ANAYSIS Accoding to the vecto contol of aynchonou moto, we can obtain tanfe function p i u p p (5) Fomula (5) on both ide of aplace anfom Page

3 i k u k k k 3 Deign of compoite digital filte with leat quae method paamete identification k k k3 Among them k,,, Make Z u /,fomula (5) witten about the fom of tanfe function ud u i i Z k i k k k 3 Fomula (7) Z tanfom Z k Z k k U k k U k k U k k 3 (8) eat quae identification of ecuion method of MAAB/S-function of the pogam flow chat i hown in figue 3. Wok to clea (6) (7) YES Data ampling NO E E identify identification eult Daw the identification gaphic Fig.3 -function pogamming flow chat he imulation model i built on the bai of the model of the moto inide the MAAB, Moto paameteae a followatedpowe P N 3. 73kwatedvoltage U N 46 V f, N 5 Hz,. 87,. 8, 3.8 H and m H. l l Fo aynchonou moto vecto contol ytem imulation i a follow, the imulation time i et to, In ode to achieve the bet imulation eult, the imulation tep i, which i 5 point, and the imulation model i hown in Figue 4. Page

4 Deign of compoite digital filte with leat quae method paamete identification Fig.4 Simulation model of aynchonou moto paamete identification he imulation wavefom i hown in figue 5 3 he coodinate value indicated in the above fou map indicate that the value of each coefficient i table at a cetain moment, that i, the final identification of the coefficient, whee K in.435 table value of 6.83; K in.89 table value of.586; K in.695 table value of.368; K3 in.7545 table value of.34. o get the identification eo, with each coefficient compaing the actual calculation of the compaion eult a hown in table : ab. the eo of the value and the actual value of the coefficient. Coefficient K K K K3 actual calculated value e e-4 Identification value e e Page

5 Deign of compoite digital filte with leat quae method paamete identification Eo(%) Known fom the table 3-, the identification eo of the fou coefficient i le than 3%, o thi et of data can be extacted fo moto paamete calculation, Accoding to the type (6) and (7) in the moto paamete and coefficient k k k and k 3, the mathematical elationhip between be able to get the paamete of the moto, the calculation eult ae a follow: k3.84 k.3 k 36.3mh m k 35mh k he above calculated moto paamete value and the actual paamete value to compae eult a hown in table : ab.eo facto level paamete / / /mh m / H Actual moto paamete value Identification of paamete value eo(%) Fom the table can be obtained though identification of moto paamete value and the actual paamete value of eo i le than 3%,, we can think that the ue of the leat quae method to identify the moto paamete i vey accuate, at the ame time alo i vey fat. IV. CONCUSION Baed on vecto contol of induction moto, the oto eitance inductance and oto mutual inductance, tato eitance, oto m ae identified by uing MAAB tool.accoding to the ection on data analyi to identify convegence fate, bette tability. Obtained with the identification of tato oto paamete of the eo and the eo of tato eitance identification i not big. hat the leat quae paamete identification method of compound digital filte can be individually to identify moto paamete [7.8] and the paamete of identification i fat accuate. hi aticle deficiency i not geneic imulation identification of induction moto unde diffeent envionment in the apect to be impoved. EFEENCES [] Baed on the leat quae on-line paamete identification of induction moto vecto contol imulation [J].Jounal of Hefei univeity of technology,9.4:3-4 [] Wang i. Modeling and Simulation of Vecto Contol Sytem of Vaiable Fequency Speed egulation in Electic Actuato [J]. IEEE Confeence Publication,, 4: [3] Ciincione M. Contained minimization fo paamete etimation of induction moto in atuated and unatuated condition [J], IEEE Indutial Electonic, 5, 5(5):39-4. [4] Gibo N. An induction moto model fo tanient imulation [J]. IEEE Electical Machine, :-6. [5] Paolo Cataldi,Andea illi.paamete Etimation of Induction Moto at Standtill With Magnetic Flux Monitoing.IEEE anaction on Contol Sytem echnology.vol.3,no.3,may 5:386~4 [6] D.inden Meye,H.W.Dommel,A.Mahe.An Induction Moto Paamete Etimation Method.Electical Powe and Enegy Sytem 3() :5~6 [7] uben Jaamillo,icado Alvaez,Victo Cadena.Identification of Induction Moto Paamete uing an Extended Kalman Filte.he tintenational Confeence on Electical and Electonic EngineeingJune 4:584~588 [8].N.Conte,.F.A.Peeia,J.F.Heffne.Paamete Identification of Induction Machine Baed on Fequency epone and Optimization echniquehe 9thAnnual Confeence of the IEEE.vol.,Novembe 3:596~ Page