Problem analysis in MW frequency control of an Interconnected Power system using sampled data technique

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1 Inrnaonal Journal o La rnd n Engnrng and chnology IJLE robl analy n MW rquncy conrol o an Inrconncd owr y ung apld daa chnqu payan Guha parn o Elcrcal Engnrng Fnal Yar M.ch Sudn, Aanol Engnrng Collg, Aanol, W Bngal, Inda ro. r... raad rncpal, Aanol Engnrng Collg Aanol, W Bngal, Inda Abrac- h work propo probl analy o wo ara hral hral nrconncd powr y ung convnonal I conrollr chnqu and a ch or provn o rpon n dcr daa ahon wh p load prurbaon o % n boh h ara. h papr ocud on odlng o nrconncd y n Z-ranor or and w oband pul ranr uncon or a whou any approaon. Sulaon hav bn prord n MALAB/SIMULIN. yword Auoac Gnraon Conrol AGC, ahacal odlng o hral-hral y, SIMULIN odl n dcr doan, apld daa hory, pul ranr uncon, SIMULIN rul. I. INOUCION owr y ngnr wr & ll pad or anon on conrollng o ral or MW powr, nc h bac govrnng ln o rvnu. ad back o hr or our dcad whn powr y nwork, ranon y, ul wr no o coplcad, and ngnr pad l anon on conrollng o h y. Bu du o h advn o odrn ngnrng & chnology, oday nwork bco or and or nv, u long ranon y, rqun load lucuaon, hgh load dand c. hror, w u nhanc h odrn conrol ragy whch no only a h abov rqurn vn anand h y cury, rlably & ably. Suddn chang o load n h y cau urbn pd drop bor h govrnor ak acon. A h chang n h valu o pd dcra, h rror gnal g allr & poon o govrnor valv g clo o acual poon. Howvr, h no h acual pon, hr an o. o ovrco h probl ngraon acon appld; h ch calld auoac gnraon conrol AGC. h an purpo o AGC o ror h y rquncy o nonal valu & conoc harng o powr bwn drn ara. MW rquncy conrol or AGC conrol probl ha o uddn all load prurbaon connuouly durb h opraon o lcrcal nrgy y. AGC hav wo poran conrol acon loop, prary loop ployd o n h y rquncy rror rrpcv o load prurbaon, whl upplnary loop adju rquncy o nonal ng. h prary objcv o AGC o conrol h chduld valu o powr by adjung oupu o lcd gnraor rrpcv o locaon; h uncon coonly known a load rquncy conrol. A condary objcv o adju h rqurd chang n gnraon o ach load aong h un. Modrn powr y nwork con o nrconncon o hral, nuclar, hydro & ga powr plan. Nuclar powr plan workng a ba load clo o au load, hror AGC do no play an poran acon n h y. On h ohr hand ga powr plan provd a all aoun o powr copar o acual rqurn; hnc hr no gncanc rol o AGC n ga powr plan. hu h naural choc o AGC ployd or hral & hydro y only. urng larg rann durbanc & rgnc AGC bypad & ohr rgncy conrol ak plac. h ynchronaon o drn un dpnd upon volag agnud y rquncy & pha Vol. Iu March 0 ISSN: -

2 Inrnaonal Journal o La rnd n Engnrng and chnology IJLE qunc. Any wd varaon ro h nonal valu o rquncy or volag cau y o b collap. Hr AGC gud h y ro any undrabl uaon. hr ar lo o rarch wr ad n pa dcad wh drn conrol rag. Elgrd wr udy h nrconncd y n connuou doan, whl n acual ld h had bn don a a d nrval o or n ranor or. Indulkar wr udy h a y bu dcr n naur, bu h aud ha govrnor & a urbn hav uny gan y or plcy o ahacal calculaon. Bad on h knowldg o lraur h papr ocud on udy o nrconncd y n pul ranr uncon ro kpng h acual ranr uncon o govrnor & urbn y. h papr alo ud h dynac rpon n dcr doan by drvng h acual ranr uncon o wo ara y boh n Laplac doan & Z-ranr doan. W condr pl convnonal I conrol ragy wh % load prurbaon n boh h un. II. SYSEM INVESIGAE Hr w condr wo ara nrconncd hral powr y or analy o hr dynac rpon du o all prurbaon o load n on and/or boh h conrol ara. Snc n acual ld, aurn o rquncy & -ln powr rror don a a d nrval o hror w odl h y n dcr or. h acual dcr odl o hral hral ara y wh non-rha hral un hown n g. h nonal valu o all parar ar gvn n appnd. III. MOELING OF ISCEE OWE SYSEM h papr odl h concrnd nrconncd powr y n a pac ro. Sa varabl ar h nal o varabl uch ha h knowldg o h varabl a = 0 wh h knowldg o npu or > 0 coplly drnd h uur bhavor o h y or all > 0. h connuou dynac bhavor o h AGC y dcrbd by h lnar vcor drnal quaon, a Vol. Iu March 0 ISSN: -

3 Inrnaonal Journal o La rnd n Engnrng and chnology IJLE A Bu Gw Whr, A, B & G ar h y ar, npu ar & durbanc arc, rpcvly, dpndng upon y parar & ohr oprang condon and = [ C c G G ], u = [u u ] & G = [ ] ar h a varabl, npu vcor & durbanc vcor. Sa pac odl o nrconncd powr y dnd a = = hror, characrc quaon o h concrnd y Snc, n acual pracc aurn don n dcr doan, hror quaon can b rwrn by lnar vcor drnc quaon n dcr doan a k + = A d k + B d uk + G d wk Whr, k, uk & wk ar pcd a = k; k = 0,, c, & b h aplng prod & arc ar dnd a A d [I A ], B d B, G d G Vol. Iu March 0 ISSN: -

4 Inrnaonal Journal o La rnd n Engnrng and chnology IJLE IV. ULSE ANSFE FUNCION In h work w udy rquncy & ln powr rror n apld daa ahon, hnc pul ranr uncon odl or doan odl dgnd, or h purpo aplng opraon don bwn conrollr & y. Condrng a pl apl daa y, g:, conng o aplr & plan wh ranr uncon G. Fg: A pl apl daa y r & r ar h npu & oupu o aplr rpcvly, larly c & c ar h connuou & arrd oupu o h y, rpcvly. hu, c = r g I h oupu c now apld, ck = y k g k, 0 Whr b h aplng prod, hn C = c k k = r g k k akng Laplac ranor o abov quaon, w hav C = k r g k = k r g k = G Snc, =, hror, C = G Snc hold crcu alo ud along wh aplr, h oupu o apl & hold crcu C = al calculaon o pul ranr uncon hown n appnd. Vol. Iu March 0 ISSN: -

5 Inrnaonal Journal o La rnd n Engnrng and chnology IJLE V. SIMULIN ESULS wo ara nrconncd hral-hral powr y wr udd n MALAB-SIMULIN nvronn. Fg: o g: dpc,, & rpon boh n connuou doan and dcr doan ung SIMULIN. In h prn udy, w dvdd our rul no our ca: Ca: Connuou doan analy o nrconncd powr y whou any conrollr & rquncy ba ng. Ca: Connuou doan analy o nrconncd powr y wh I-conrollr o = 0. & rquncy ba ng, B = 0. Ca: Connuou doan analy o nrconncd powr y wh I-conrollr o = 0. & rquncy ba ng, B = 0.. Ca: cr doan rquncy analy o conrol ara wh wo drn aplng prod o = 0. c & 0. c. Fg rquncy rror whou any conrollr acon Fg rquncy rror wh I conrollr acon and ba ng and ba ng, B =0 Fg rquncy rror wh I conrollr acon Fg -ln powr rror wh I conrollr acon and ba ng, B = 0. and ba ng, B = 0. Vol. Iu March 0 ISSN: -

6 Inrnaonal Journal o La rnd n Engnrng and chnology IJLE Fg cr rquncy rror wh I conrollr acon and ba ng, B = 0. havng aplng = 0. c Fg cr rquncy rror wh I conrollr acon and ba ng, B = 0. havng aplng = 0. c VI. CONCLUSION In h papr apld daa hory wh h hlp o ranor chnqu ncludng all y parar, pcally govrnor and a urbn ranr uncon, o y or r prnd. I ralc o apply h chnqu bcau boh rquncy and ln powr wr aurd a a d nrval o. ln powr and rquncy dvaon wr obrvd ro ulaon rul wh p load chang n boh y ara. I ha bn hown ro rul ha boh & ar drn ro h rul oband n connuou doan,..; ung Laplac ranor hod. EFEENCES [] ro J Nanda, r. M L ohar, Sapl daa AGC o Hydro-hral y condrng GC, IEEE-ran., Spbr, [] ro. C S Indulkar, Analy o MW rquncy conrol probl ung apld daa hory, IEEE ran., January,. [] ro. rabha uar, Ibrah, ynac proranc valuaon o -ara nrconncd powr y a coparav udy, IEEE-ran, Augu,. [] r...sngupa, Sud on an o powr rquncy n nrconncd grd copur bad conrol & procon, 00, h papr n JU. [] Sahan & Akhlh Swarup, Auoac Gnraon Conrol o wo ara y wh & whou SMES, Inrnaonal Journal o Engg. Scnc & chnology, vol No., 0. [] Elgrd, O.l., Elrc nrgy y hory an nroducon, cond don, aa McGraw Hll. [] Grangr, J, Wlla,J & Svnon, Jr - owr y analy don 00, aa McGraw Hll. [] ohar,., & Nagrah, I.J., owr y Engnrng, cond don, aa McGraw Hll I. Appnd Calculaon o pul ranr uncon: Fro g:, w hav or ara [{ } B } 0 ] g Vol. Iu March 0 ISSN: -

7 } ] } [{ B g Addng quaon 0 &, w g B B A g g B A Ar o ahacal anpulaon Fro quaon 0 w g, ] } [{ g B } B g g g 0 B g g Now, A Subung valu o A & ro quaon & o quaon, w g N Whr, 0 g g N akng -ranor o abov quaon, w g N = Inrnaonal Journal o La rnd n Engnrng and chnology IJLE Vol. Iu March 0 0 ISSN: -

8 0 0 B g g hror, = Z[] 0 B Whr, b a c a g g 0 c b g g g g g g g 0 g Inrnaonal Journal o La rnd n Engnrng and chnology IJLE Vol. Iu March 0 ISSN: -

9 Inrnaonal Journal o La rnd n Engnrng and chnology IJLE II. Appnd ang o gnraor r = 000MW, urbn conan r = 0. c, pd govrnor conan r = 0. c, gan p & conan p o powr y 0 & 0 c, rpcvly, ynchronng 0. conan = c, Govrnor pd rgulaon parar n H pr p.u. MW =,. Frquncy ba conan B = 0., Ingraon conan = 0. c. Vol. Iu March 0 ISSN: -