MATHEMATICAL MODELS OF SPECIFIC ELEMENTS OF WIND ENERGY CONVERSION SYSTEMS BASED ON INDUCTION GENERATOR

Transcription

1 AHEACA ODES OF SPECFC EEES OF WD EEGY COVESO SYSES BASED O DUCO GEEAO Octaian POSEA, oi SZEDE, icolae BUDSA, Gabriela POSEA, Critian VASA Department o Automation an nutrial normatic Faculty o Automation an Computer Science B V Paran, o, 9 imioara, OAA el: Fax: ioi@aututtro Abtract: n the complex cae o win energy conerion ytem WECS analyi an ynthei, the mathematical moel o each component element are reuire n the paper are preente ome contribution to preet alue etablihing trategie an moel o peciic element: rotation pee an oltage preet alue etablihing trategie, a impliie ixe blae win turbine moel, the inuction generator uirrel rotor inuction generator Park mathematical moel, peciic to current reuency conerter upplier ue, current reuency conerter inerter moel he preente moel are ue or WECS analyi in it peciic tranient regime a well or it controller eign OO SPEED CACUAO, PESE VOAGE CACUAO an WD UBE- DUCO GEEAO GOUP [] here are tuie the peciic winmill control ytem element Keywor: winmill, win energy conerion ytem, element mathematical moel, tranient calculation, preet alue etablihing ntrouction here are known, preently, a large number o tructure ariant or inuction machine iel-oriente control he conieration preente in the paper are taning or the mot o thoe tructure n the ollowing, or preentation, will be coniere only the cae o the inuction machine air-gap magnetic ieloriente control ytem tructure A illutrate in igure he tructure i ientical a in the cae o electrical rie, in which appear: tranucer /etimator, controller an the F Blachke ieloriente metho peciic calculator block phae number tranormer S, S -, iel orientation block FOB an it element, phae analyzer PHA, axe tranormer A, A -, reuency conerter, excepting the PESE UBE - GEEAO Figure nuction machine air-gap magnetic ieloriente control ytem tructure

2 athematical oel o Speciic Element Preet urbine-generator otor Spee Calculator t i known that or each win pee an optimum rotation turbine pee i eire Bae on original turbine mathematical moel ee paragraph 4, a enorle rotation pee etermination trategy wa elaborate; correponingly a rotation pee calculation metho wa propoe [] account or the three-phae inerter o coniere conerter A ery imple moel may be coniere a a eice with three tatic witche, one or each phae he GB commutation time are neglecte he impliie cheme o inerter i preente in igure Preet Generator Voltage Calculator n cae o the ariable pee inuction machine, optimum operation may be aure [] i U U in the cae o neglecting the magnetic aturation n the cae o couple generator machine with entilator an win turbine, haing n the relation become U U hi act mut be coniere or ariable pee inuction generator winmill A a impliication, in the literature, there i amitte that, U U Correponingly to, the inuction generator preet oltage calculator mut accomplih the tak preente in igure Figure calculator Preet oltage calculator block u U he inuction generator preet oltage Freuency Conerter oel here are ierent reuency conerter: thyritor, tranitor, cyclo-conerter, intermeiate irect current circuit, matrix latet achieement he moern implementation are bae on GB tranitor PW conerter with irect current intermeiate circuit he majority o moel may be taken into Figure nerter impliie moel Figure 4 PW electric cheme egaring the igure, the inerter mathematical moel i: ua Vcc Sa Sb Sc ub Vcc Sa Sb Sc 4 uc Vcc Sa Sb Sc Where: S i i a, b, c are control ignal eliere by the PW circuit, that hae the alue or, epening on the act that witch element i on or o here wa elaborate a Spice program or the reuency conerter igure an or the PW generator igure 4 he imulation reult conclue that or mall loa current the itortion o current wae i greater a in the cae o a higher alue loa he Canaian HEXAOC nc, oronto reearch partner in the omain o reuency conerter, at hi conerter tet tan: nput DC Voltage buck: 46 VDC ominal current: ADC Output oltage: 8 VAC, at low loa current o Ae AC, obtaine [7], or the inerter, the current an oltage waeorm hown in igure 5 with a atiactory current harmonic itortion actor HD o 5% coniering the EEE 59

3 harmonic itortion tanar reuirement or coniere loa conition: HD<5 n igure 6, there i preente the HEXAOC nc power electronic conerter implementation Figure 5 ine oltage an current waeorm obtaine by HEXAOC conerter tet tan in aboe preente loa conition Figure 6 HEXAOC implementation: 46V power electronic conerter 4 Fixe Blae Win urbine oel he mathematical moel preente in thi paper conier the cae o the ixe blae win turbine an expree the mathematical power an moment riing the electrical generator he etablihe moel contain the ealuation o all kin o actor: turbine type, imenion, rotation pee, an win parameter he uual blae power an moment moel are coniere: P C ρ / S 5 P P / C ρ / S 6 Where: C, C - blae ueul power an torue P coeicient, ρ - air enity, win pee, S turbine wept aria, turbine raiu For power an torue coeicient there are propoe the ollowing expreion: [] C P α C λ aλ bλ 7 α C C aλ bλ 8 Where: C tart torue coeicient, λ u/ - type pee ratio, u blae peripheral, α,, a, b turbine blae contant alue he contant C, α,, a, b epen on turbine type an contruction hey were etablihe an expree a a reult o analyi o a large number o worl wie contructe turbine On thi bai, the ollowing expreion were etermine: 5 C max λ 4λ 9 P C / λ α 5 8 b C / A C / A / B / A B / A a B / A b C / A 4 α A λ 5 A α α λ 6 B λ 7 B λ 8 C P max C C λ 9 C C here can be notice, that in orer to particularize the moel the optimal type pee ratio λ mut be coniere he impliication o propoe aboe moel may be continue a a reult o ome conieration on the alue that they contain hereore, at turbine with high optimal type pee ratio λ, can be neglecte the inluence o C at the turbine tart Coniering, in thi cae,, CP C there reult: α aλ bλ P ρ / S aλ α bλ or u u P ρ / b S a or r α r P ρ S a b 4 an r α r ρ S a b 5

4 5 Win urbine - nuction Generator athematical oel he uage o the turbine 5 an the generator Park-Kron moel [], or the turbine-inuction generator irect couple group reult the ollowing relation: G e r G t J,, 6 where: ueul win turbine moment 5, e,g - generator moment, reulting rom it expoe below mathematical moel he inuction generator tranient euation 7-: r U t r r t r r U t r r t rez r t π π π 7- Where: - tator wining inuctance, - rotor wining inuctance, - rotor wining reitance, - rotor wining reitance, - electric angular rotation pee, - mutual tator-rotor inuctance, U - line oltage, n - rotation pee, t tator -axi current, t tator -axi current, r t rotor -axi current, t rotor -axi current, t t lip 6 nuction Generator Simulation ue he euation ytem 7- wa implemente in atlab-simulink enironment, reulting the chematic iagram preente in igure 7 Figure 7 nuction Generator - Simulink chematic

5 iagram n orer to exempliy the uage o the aboe preente moel, in igure 8 an 9 are preente the obtaine reult in the cae o three-phae hortcircuit imulation [5],[6] he current eolution i repreente in [A], t[ec] axe an the torue eolution in [m], t[ec] axe Figure 8 nuction generator current eolution Figure 9 nuction generator torue eolution Concluion n the paper there are preente conieration on mathematical moel o peciic element o inuction generator win energy conerion ytem [],[4],[8] he obtaine moel can be ue inepenently, in orer to ole tranient procee in peciic operation regime: generator hort-circuit, change o turbine moment ue to win gut, change o gri oltage, generator gri connection, change o win mill loa, an other particular regime o interet ogether with mathematical moel o all element, controller incluiely, may be obtaine the complete imulation cheme o the entire win energy conerion control ytem an, correponingly, the aboe-mentione problem may be ole in thee circumtance he reearch reult, o a ational Unierity eearch Council project [], concern alo the ue o mathematical moel o conerion ytem, or controller imulation eign EFEECES [] Buian, Gyulai Fr, Protean O, Hentea, Spee Control Strategie or Fixe urbine Winmill, Global Winpower 4 Conerence, 8- arch 4, Chicago, USA [] Buian, Problem o inuction generator ytem at win/ieel/hyro unconentional electric group/plant/arm, Colectia Energetica, Eitura Politehnica, imioara, [] Structuri, etoe i Strategii e entiicare, Simulare i Conucere a Agregatelor cu Generatoare Aincrone Detinate Energeticii eurelor egenerabile, Final eearch eport, CCSS eearch Project Coe: 868/, 5/ an 6/, Project anager: Pro Protean O, PhD [4] Buian, Gyulai Fr, Hentea, ahil S, Win energy conerion ytem, State o the Art EEGEX Conerence, a Vega, eaa, USA, -8 July, [5] Szeiert, Protean O, Buian, Filip, wo axi moelling o inuction generator or winmill, Proceeing o Global Winpower Conerence an Exhibition, Pari, France, -5 April, [6] Babecu, aina Aincrona moelare, ientiicare, imulare, Colectia Energetica, Eitura Politehnica imioara, [7] Buian, Boraci, Protean O, Hentea, Pieron E, rica Al, Stern, Conieration Concerning the Ue o Electronic Power Conerter or Variable Spee Wingenerator Euippe with Direct Cuople to the urbine nuction Generator, Proceeing o the European Win Energy Conerence, Copenhagen, Denmark, -6 July [8] Protean O, Filip, Buian, Szeiert, Comparatie tuie about moelling o a ynchronou generator,eegex Conerence, a Vega, eaa, USA, -8 July,