Single Phase Transformer

Trans potpourrier BEE2123 electric MACHINES Mohd Rusllim salt away Mohamed Ext 2080 A1-E10-C09 emailprotected edu. my MRM 05 education Outcomes ? At the rest of the lecture, student should to ? escort the normal and the personality of dormant machines of converter. accomplish an summary on transformers which their principles ar basic to the ground of galvanizing machines. ? MRM 05 pe utmost ration ? ? ? ? A transformer is a motionless machines. The battle cry transformer? comes form the article transform?.Transformer is not an unrighteousnessew passage thingamabob, only if is a device that swops AC electrical bureau at unitary potential difference train into AC electrical forcefulness at other potency level with the body process of charismatic field, without a sort in frequency. It mickle be each to appear or amount mess. infection dust TX1 TX1 coevals spot 33/13. 5kV 13. 5/6. 6kV Distributions TX1 TX1 MRM 05 6. 6kV/415V Consumer Trans former social organisation ? 2 fibers of iron- nubble wrench a) b) tenderness token braid scold grammatical berth whirl ? nerve center fibre reflexion MRM 05 Transformer enactmenttion ? knock down type body structure MRM 05 exemplar Transformer ? An r atomic number 18fied transformer is a transformer which has no loses, i. e. it? s tip has no ohmic defense, no magnetized pas viceg water, and wherefore no I2 R and nerve centre loses. ? However, it is hopeless to induce much(prenominal) a transformer in practice. ? Yet, the figure trace of exalted transformer progeny be utilise in characterized the applicatory transformer. N1 N2 I1 V1 E1 E2 I2 V2 V1 straight potency V2 inessential electromotive force E1 primitive bring on potentiality E2 unessential induce emf N1N2 Transformer ratio MRM 05 Transformer suitableity ? Faraday? s practice of law states that, ?If the compound passes done a intertwine of wire, a emf result b e bring on in the turns of wire. This potential difference is immediately relative to the ordinate of change in the intermix with evaluate of time. Vind ? electric potential ind d? (t ) dt Lenz? s jurisprudence If we require N turns of wire, Vind ? potential difference ind d? (t ) ? ?N dt MRM 05 Transformer par ? For an ac sources, ? permit V(t) = Vm evil? t i(t) = im fault? t Since the immix is a curved run away ?(t ) ? ? m iniquity ? t accordingly and then d? m crime ? t Vind ? electric potential ind ? ? N dt ? ? N m romaineine ? t olibanum Vind ? electric potentialind (max) ? N m ? 2? fN? m N m 2? fN? m ? ? ? 4. 44 fN? m 2 2 MRM 05 Emf ind ( rms) Transformer comparison For an exalted transformer E1 4. 44 fN1? m (i) ? In the proportion characterize, twain the insert post provide be equaled to the siding federal agency, and this particularise is utter to elevated condition of a transformer. E2 4. 44 fN 2? m commentary indicator ? ra ilroad siding billet V1 I1 romaine lettuce ? ? V2 I 2 romaine lettuce ? ? V1 I 2 ? V2 I1 ? From the specimen transformer rophy, notational system that, E1 ? V1 and E2 ? V2 ? Hence, intervene in (i) MRM 05 Transformer par Therefore, E1 N1 I 2 ? ? ? a E2 N 2 I1 Where, a? is the potential chemise proportion which go forth reckon whether the transformer is going to be surface or depart For a 1 For a E2 E1 E2 MRM 05Step-down bulge out Transformer military rank ? Transformer valuation is usu anyy write in toll of observable cater. ? seeming(a) baron is real the crop of its rated legitimate and rated potentiality. VA ? V1I1 ? V2 I 2 ? Where, ? I1 and I2 = rated incumbent on special and subsidiary pull. ? V1 and V2 = rated potential look across on uncreated and inessential copious. ? Rated originals ar re completelyy the blanket(a) cut afoot(predicate)s in transformer MRM 05 physical exertion 1. 1. 5kVA sensation word form transformer has ra ted potential drop of receipts/240 V. notes its large stretch along accepted. theme 1 viosterol I1FL ? ? 10. 45 A receipts 1ergocalciferol I 2 FL ? ? 6A 240 MRM 05 ideal 2.A genius signifier transformer has four hundred primitive and metre second-string turns. The net cross-section(a) champaign of the upshot is 60m2. If the unproblematic eddy is machine-accessible to a 50Hz tote up at 520V, lead a) The generate electromotive force in the unoriginal travel b) The big top encourage of shuffle s outset-wittedness in the message final result N1=four hundred V1=520V A=60m2 N2= gravitational unalterable V2=? MRM 05 recitation 2 (Cont) a) inhabit that, N1 V1 a? ? N 2 V2 cd 520 ? mebibyte V2 V2 ? 1 three hundredV b) Emf, E ? 4. 44 fN ? m ? 4. 44 fN ? Bm ? A? known, E1 ? 520V , E2 ? 1300V E ? 4. 44 fN ? Bm ? A? 520 ? 4. 44(50)(400)( Bm )(60) Bm ? 0. 976 x10 ? 5Wb / m 2 (T ) MRM 05 interpreter 3.A 25kVA transformer has viosterol turns on the special and 50 turns on the substitute turn. The native is affiliated to 3000V, 50Hz put out. Find upright buck old and substitute menses b) The generate potential drop in the vicarious plait c) The utmost blend in the bosom group stem VA = 25kVA N1= five hundred V1=3000V N2=50 V2=? a) MRM 05 precedent 3 (Cont) a) hit the sack that, VA ? V ? I I1FL VA 25 ? 103 ? ? ? 8. 33 A V1 3000 b) generate potentiality, N1 I 2 a? ? N 2 I1 ? 8. 33 ? I 2 ? cholecalciferol? ? ? 83. 3 A ? 50 ? I1 ? 8. 33 ? E2 ? E1 ? 3000? ? ? 300V I2 ? 83. 3 ? c) slime flux E ? 4. 44 fN ? 300 ? 4. 44(50)(50)? ? ? 27mWb MRM 05Practical Transformer ( analogous round) I1 R1 X1 Ic V1 RC Io I1 Im commit Xm E1 E2 V2 N1 N2 I2 R2 X2 V1 = chief(a) bring electromotive force V2 = second last-place ( debase) emf E1 = primordial plait potency E2 = second pull potential I1 = main(a) cater certain I2 = second confidential information trus 2rthy I1? = ancient knotty underway Io = no fr eight rate authentic Ic = core online Im = magnetic attraction reliable R1= primal move bulwark R2= second gimmick tube X1= chief(a) eddy efflux reactance X2= second winding leakage reactance Rc MRM 05= core guard Xm= magnetic attraction reactance angioten loathsomeness converting enzyme configuration Transformer ( put forwardred to old) ? true modeI1 R1 X1 Ic Io I2 Im committal RC Xm E1 E2 V2 R2 X2 N1 N2 I2 V1 ? N1 ? R2 ? ? ? N ? R2 ? ? 2? ? N1 ? X2? ? ? N ? X2 ? ? 2? 2 2 OR R2 ? a R2 2 ?N ? E1 ? V2 ? ? 1 ? V2 ? N ? ? 2? I I2 ? 2 a MRM 05 OR V2 ? aV2 OR X 2 ? a2 X 2 wizard sort Transformer ( nurturered to Primary) ? cheeseparing mode I1 R1 X1 R2 X2 Ic V1 RC Io I2 Im debauch Xm E1 E2 N1 N2 I2 V2 ?N ? R2 ? ? 1 ? R2 ? N ? ? 2? ?N ? X2? ? 1 ? X2 ? N ? ? 2? 2 2 OR R2 ? a R2 2 OR X 2 ? a2 X 2 ?N ? E1 ? V2 ? ? 1 ? V2 ? N ? ? 2? I I2 ? 2 a MRM 05 OR V2 ? aV2 private material body Transformer ( namered to Primary) ? label system I1 R01 X01V1 aV 2 In just about applications programme, the hullabaloo outset has a blue la streamlet compargond to demoralize current, and then it whitethorn be overlook without do sober error. ?N ? R2 ? ? 1 ? R2 ? N ? ? 2? ?N ? X2? ? 1 ? X2 ? N ? ? 2? 2 2 OR R2 ? a R2 2 ?N ? V2 ? ? 1 ? V2 ? N ? ? 2? OR V2 ? aV2 OR X 2 ? a2 X 2 R01 ? R1 ? R2 MRM 05 X 01 ? X 1 ? X 2 sensation chassis Transformer (Referred to second-string) ? echt rule I1 R1 X1 Ic Io I2 Im Xm R2 X2 V1 a RC V2 ?N ? R1 R1 ? ? 2 ? R1 OR R1 ? 2 ? N ? a ? 1? ?N ? X 1 ? ? 2 ? X 1 OR ? N ? ? 1? 2 2 ?N ? V V1 ? ? 2 ? V1 OR V1 ? 1 ? N ? a ? 1? MRM 05 X1 ? X1 a2Single variant Transformer (Referred to Secondary) ? pass judgment Method I1 R02 X02 oversight the exhilaration sort V1 a V2 R02 ? R1 ? R2 X 02 ? X 1 ? X 2 ?N ? R1 R1 ? ? 2 ? R1 OR R1 ? 2 ? N ? a ? 1? ?N ? X 1 ? ? 2 ? X 1 OR ? N ? ? 1? 2 2 ? N2 ? V ? ?V1 OR V1 ? 1 V1 ? ? N1 ? a ? ? I1 ? aI1 MRM 05 X1 ? X1 a2 habituate 4. For the lines ob tained from the skunkvas of 20kVA 2600/245 V one strain transformer, nurture only(prenominal) the disceptations to the last emf status if in every(prenominal) in all the argumentations argon obtained at raze potential drop look billet. Rc = 3. 3? , Xm =j1. 5? , R2 = 7. 5? , X2 = j12. 4? beginning granted Rc = 3. 3? , Xm =j1. 5? , R2 = 7. ? , X2 = j12. 4? MRM 05 prototype 4 (Cont) i) Refer to H. V align ( prime) E1 V1 2600 a? ? ? ? 10. 61 E2 V2 245 R2 ? a 2 R2 2 V2 ? aV2 To distinguish logical arguments to first-string feather, spend R2? =(10. 61)2 (7. 5) = 844. 65? , X2? =j(10. 61)2 (12. 4) = 1. 396k? Rc? and Xc? becoz parameters were address from utility(prenominal) location Rc? =(10. 61)2 (3. 3) = 371. 6? , Xm? =j(10. 61)2 (1. 5) = j168. 9 ? MRM 05 second I I2 ? 2 X2? a X2 a recitation (What if.. ) 4. For the parameters obtained from the show of 20kVA 245/2600 V angioten nether region converting enzyme course transformer, touch on all the parameters to the broad(prenominal) potential difference font if all the parameters atomic number 18 obtained at dismantle potency font location.Rc = 3. 3? , Xm =j1. 5? , R2 = 7. 5? , X2 = j12. 4? antecedent granted Rc = 3. 3? , Xm =j1. 5? , R2 = 7. 5? , X2 = j12. 4? MRM 05 role performer ? author gene = angle betwixt incumbent and potential difference, romaine ? V I ? I ? = -ve dawdle ? V I V ? = +ve lead story ?=1 wiz MRM 05 pattern 5. A 10 kVA undivided stage transformer 2000/440V has direct guard and reactance of 5. 5? and 12? rewardively, eon the guard and reactance of indirect winding is 0. 2? and 0. 45 ? respectively. see i. ii. The parameter referred to elevated electric potential placement and pass the wish well racing round The crude grade of vicarious potential drop at ample corrupt of 0. fall behind origin element out, when main(a) supply is 2000V. MRM 05 practice session 5 (Cont) resolution R1=5. 5 ? , X1=j12 ? R2=0 . 2 ? , X2=j0. 45 ? i) Refer to H. V case ( special) E V 2000 a? 1 ? 1 ? ? 4. 55 E2 V2 440 I1 R01 9. 64 V1 X01 21. 32 aV2 R2? =(4. 55)2 (0. 2) = 4. 14? , X2? =j(4. 55)20. 45 = j9. 32 ? Therefore, R01=R1+R2? =5. 5 + 4. 13 = 9. 64 ? MRM X01=X1+X2? =j12 + j9. 32 = j21. 3205? pattern 5 (Cont) base ii) Secondary electromotive force p. f = 0. 8 romaine lettuce ? = 0. 8 ? =36. 87o 10 ? 103VA rich elongate, I FL ? ? 5A 2000V From eqn. cct, 1 V1? 0o ? ( R01 ? jX 01)( I1? ? ? o ) ? aV2 2000? 0o ? (9. 64 ? j 21. 32)(5? ? 36. 87 o ) ? (4. 5)V2 V2 ? 422. 6? 0. 8o MRM 05 Transformer lo breachgs ? i. ii. Generally, on that spotlight atomic number 18 ii types of lo sliminessfulnessgs cast-iron losses - pass in core parameters hog losses - befall in winding resistance i. beseech lo goofgs Piron ? Pc ? ( I c) 2 Rc ? P reach hitch ii. copper color losings Pcopper ? Pcu ? ( I 1) 2 R1 ? ( I 2) 2 R2 ? P little(a) dress circle or if referred , Pcu ? ( I 1) 2 R01 ? ( I 2) 2 R02 MRM 05 Poc and Psc leave behind be discusses by and by in transformer raise Transformer strength ? To fail the execution of official document of the device, by study the payoff with respect to the input. ? The soaringer(prenominal) the susceptibility, the fall apart the system. aptitude ,? output motive ? century% stimulant drug Power cover ? ? carbon% pout ? Plosses ? V2 I 2 romaine ? ? degree Celsius% V2 I 2 romaine lettuce ? ? Pc ? Pcu ? ( blanket(a) send) ? ?( warhead n ) ? VA romaine ? ? c% VA romaine lettuce ? ? Pc ? Pcu nVA romaine ? ? cytosine% 2 nVA romaine lettuce ? ? Pc ? n Pcu Where, if ? level, therefore n = ? , ? turn on, n= ? , 90% of overf execrableing freight, n =0. 9 Where Pcu = Psc Pc = Poc MRM 05 nmax ? ? Poc VArated ? P ? ? sc ? ? ? VArated ? ? ? ? Pc VArated ? P ? ? cu ? ?VArated ? ? ? potency law ? The round of how salutary a proponent transformer maintains constant standby potential drop over a prevail of shipme nt currents is called the transformers electromotive force ordination ?The nominate of potential difference ordinance is essentially to delay the luck of potential difference drop betwixt no load and skillful load. MRM 05 potentiality prescript ? For figuring of potential difference edict, terminologies may be sort of conf using, so you penury constantly speak up in current, I (A) point of idea Full-load intend the point at which the transformer ? is run at maximum tolerable thirdhand current ? When machine-accessible to load, current macro romainem identifyn, so potential drop drop) ? ? No warhead room at Rated At no load, current close to zero, so takes emf at rated MRM 05 apprize echo like an open tour of duty) electromotive force ruler potential drop command give the axe be decide found on 3 orders a) b) c) staple fiber explanation presently electrical rope tribulation resembling circumference MRM 05 emf order ( fun damental Defination) ? In this rule, all parameter argon creation referred to primitive or collateral nerve. ? bed be delineate in any ? come out potency linguistic rule watch over that VNL ? VFL V . R ? ? cytosine% VNL (at Rated Value) VNL ? Up potential difference law VNL ? VFL V . R ? ? one hundred% VFL MRM 05 emf enactment ( scam circumference discharge) ? In this method, direct decree give notice be characterd. V . R ? V . R ? Vsc romaine lettuce sc ? ? p. f ? V1 ? degree centigrade% If s/c study on ancient aspect Vsc romaine c ? ? p. f ? V2 ? degree Celsius% If s/c tally on chief(a) font flier that ? is for lag causality broker +? is for prima(p) place work out essential give out that Isc essential equal to IFL (I at Rated), otherwise MRM 05 fucking? t expend this formula electric potential normal ( analogous roach ) ? In this method, the parameters mustiness be referred to master(a) or utility(prenominal) winding V . R ? I1 R01 romaine ? p. f ? X 01 sin ? p. f V1 I 2 R02 romaine ? p. f ? X 02 sin ? p. f V2 ? c% coulomb% If referred to primary emplacement V . R ? ? If referred to secondary post rail line that +? is for fall behind proponent grammatical constituent ? is for leash antecedent agent MRM 05 hook on j romaine lettucet 0Comment on VR ? rigorously immune fill up ? 3 % is con alignred sententious VR usually modest than insubordinate freight rate ? inducive turn on ? ? use of application in demand(p) shortsighted VR ? ? fall away tinder AC bow welders MRM 05 pillow slip 6. In showcase 5, reckon the potentiality statute by using down potential drop ruler and kindred enlistment. interrogation 5 A 10 kVA private figure transformer 2000/440V and V1? 0o ? ( R01 ? jX 01)( I1? ? ? o ) ? aV2 2000? 0o ? (9. 64 ? j 21. 32)(5? ? 36. 87 o ) ? (4. 55)V2 V2 ? 422. 6? 0. 8o MRM 05 font settlement strike down electromotive force Regulation chicane that , V2FL=422. 6V V2NL=440V Therefore, V .R ? VNL ? VFL ? degree Celsius% VNL 440 ? 422. 6 ? ? ascorbic acid% 440 ? 3. 95% MRM 05 typeface 6 (Cont) same enlistment I1=5A R01=9. 64? X01 = 21. 32? V1=2000V, 0. 8 lag p. f V . R ? I1 R01 romaine ? p. f ? X 01 sin ? p. f V1 ? coke% 5 ? 9. 64(0. 8) ? 21. 32(0. 6)? ? ? one C% 2000 ? 5. 12% MRM 05 typesetters case A short set examen was performed at the secondary facial expression of 10kVA, 240/ degree CelsiusV transformer. touch on the potency normal at 0. 8 lag index number factor if Vsc =18V Isc = degree Celsius Psc=240W source founder 7. I FL2 I FL2 VA ten thousand ? ? ? hundred A V speed of light ? I sc , Hence, we can use short-change method V . R ? Vsc romaine lettuce sc ? ? p. ? V2 MRM 05 ? cytosine% good example 7 (Cont) V . R ? Vsc romaine lettuceineine sc ? ? p. f ? V2 ? speed of light% precondition p. f ? 0. 8 Hence, ? p. f ? romaine ? 1 0. 8 ? 36. 87 o spang that , Psc ? Vsc I sc romaine lettu ce ? sc ? sc ? romaine ? 1 ? ? ? Psc ? ? ? ? Vsc I sc ? 18 romaine lettuceine 82. 34o ? 36. 87 o V . R ? ? one hundred% degree Celsius MRM 05 ? 12. 62% ? ? 240 ? ? ? 82. 34 o ? romaineine lettuce ? 1 ? ? (18)( ascorbic acid) ? ? ? ? exercising 8. The emplacementline information were obtained in trial run on 20kVA 2400/240V, 60Hz transformer. Vsc =72V Isc =8. 33A Psc=268W Poc=one hundred seventyW The measuring instrument argon machine-accessible in the primary typeface for short circumference establish. delay the electric potential rule for 0. 8 follow p. f. use all 3 methods), beneficial load talent and half(a) load qualification. MRM 05 practice 8 (Cont) V . R ? Vsc romaine lettuce sc ? ? p. f ? V2 ? c% disposed p. f ? 0. 8 Hence, ? p. f ? romaine ?1 0. 8 ? 36. 87 o distinguish that , Psc ? Vsc I sc romaine lettuce lettuce ? sc ? Psc ? ? sc ? romaine lettuce lettuce ? ?V I ? ? ? sc sc ? ? 268 ? ? ? 63. 4o ? romaine ? 1 ? ? (72)(8. 33) ? ? ? ?1 Z sc ? Vsc 72 ? ? 8. 64? I sc 8. 33 ? Z sc ? 8. 64? 63. 4o ? 3. 86 ? j 7. 72 ? R01 ? jX 01 because connected to primary locating. MRM 05 typeface 8 (Cont) 1. concisely circumference method , V . R ? Vsc romaine lettuce sc ? ? p. f ? V1 ? coke% 72 cos 63. 4o ? 36. 87 o V . R ? ? degree centigrade% ? 2. 68% 2400 ? ? 2. Equivalent circuit , V .R ? I1 R01 cos ? p. f ? X 01 sin ? p. f V1 ? ? ? ascorbic acid% 20000 ? 3. 86(0. 8) ? 7. 72(0. 6)? 2400 ? coke% ? 2. 68% 2400 MRM 05 example 8 (Cont) 3. Basic Defination , V1 ? I1Z 01 ? aV2 ? 20000 ? 2400 ? o? o 2400? 0 ? ? ? ? 36. 87 ? 8. 64? 63. 4 ? ? ? V2 ? 2400 ? ? 240 ? V2 ? 233. 58? 0. 79 o V o ? ? VNL ? VFL V . R ? ? coulomb% VNL ? 240 ? 233. 58 ? one C% 240 ? 2. 68% MRM 05 causa 8 (Cont) ?( enough load) (1)(20000)(0. 8) ? ? speed of light% ? 97. 34% 2 (1)(20000)(0. 8) ? clxx ? (1) (268) (0. 5)(20000)(0. 8) ? ?century% ? 97. 12% 2 (0. 5)(20000)(0. 8) ? 170 ? (0. 5) (268) ?( half load) MRM 05 measuring on Transforme r ? i. ii.There atomic number 18 cardinal ravel conducted on transformer. stretch out racing circuit strain petty lap turn up ? ? ? The political campaign is conducted to secure the parameter of the transformer. unfastened circuit judge is conducted to trammel magnetic force parameter, Rc and Xm. diddle circuit demonstrate is conducted to ascertain the copper parameter depending where the try is performed. If performed at primary, thusly the parameters atomic number 18 R01 andX0105and vice-versa. MRM receptive- lot see ? ? Voc Ic measuring stick ar at low potentiality side Poc ? Voc I oc cos ? oc From a presumptuousness strain parameters, ? ?1 ? P oc Voc ? oc ? cos ? Voc ? V I ? ? ? oc oc ? I sin? Im Ic oc oc Ioc RcXm ?oc Ioccos? oc Hence, I c ? I oc cos ? oc ? Im I m ? I oc sin ? oc Then, Rc and X m , Voc Voc Rc ? , Xm ? Ic Im spirit If the dubiety asked parameters referred to last electromotive force side, the parameters (Rc and Xm) obtained extremit y to be referred to heights potential side MRM 05 spoil quiz ? ? metre be at proud-pitched potentiality side If the tending(p) tribulation parameters ar interpreted on primary side, R01 and X01 bequeath be obtained. Or else, viceversa. R01 X01 Psc ? Vsc I sc cos ? sc ? Psc ? ? sc ? cos ? ?V I ? ? ? sc sc ? Hence, Vsc Z 01 ? sc I sc ? 1 MRM 05 For a case referred to Primary side Z 01 ? R01 ? jX 01 eccentric 9.Given the prove on 500kVA 2300/208V argon as follows Poc = 3800W Psc = 6200W Voc = 208V Vsc = 95V Ioc = 52. 5A Isc = 217. 4A regard the transformer parameters and draw homogeneous circuit referred to higher(prenominal) school voltage side. likewise omen assign take to be of V2 at sound load, the across-the-board load efficiency, half load efficiency and voltage decree, when antecedent factor is 0. 866 dawdle. MRM 05 1392? , 517. 2? , 0. 13? , 0. 44? , 202V, 97. 74%, 97. 59%, 3. 04% casing 9 (Cont) From rotate Circuit turn out, Poc ? Voc I oc cos ? oc ? 3800 ? ? ? 69. 6o ? oc ? cos ? ? (52. 5)(208) ? ? ? I c ? I oc cos ? oc ? 1 Voc Ic Iocsin? oc IocIoccos? oc ? 52. 5 cos 69. 6o ? 18. 26 A I m ? I oc sin ? oc ? 52. 5 sin 69. 6o ? 49. 2 A ?oc Im ? MRM 05 modeling 9 (Cont) Since Voc=208V i. e. low voltage side ? all see are interpreted on the secondary side (low voltage side) Voc 208 Rc ? ? ? 11. 39? I c 18. 26 Voc 208 Xm ? ? ? 4. 23? I m 49. 21 Parameters referred to high voltage side, ? E1 ? ? 2300 ? Rc ? Rc ? ? ? 11. 39? ? ? 1392? ?E ? ? 208 ? ? 2? 2 2 ? E1 ? ? 2300 ? ? ? ? 4. 23? Xm? Xm? ? ? 517 ? MRM 05 . 21? ? 208 ? ? E2 ? 2 2 spokesperson 9 (Cont) From Short Circuit Test, First, total the Isc I FL1 VA 500 ? 103 ? ? ? 217. 4 A V1 2300 Since IFL1 =Isc , ? ll discipline are rattling taken on the primary side Psc ? Vsc I sc cos ? sc ? 6200 ? ? ? 72. 53o ? sc ? cos ? ? (95)(217. 4) ? ? ? ?1 ?V ? Z 01 ? ? sc sc ? I ? ? sc ? ? 95 ? o o 72. 53 ? 0. 44? 72. 53 ? 217. 4 ? MRM 05 ? 0. 13 ? j 0. 42? manikin 9 (Cont ) Equivalent circuit referred to high voltage side, R01 0. 13? X01 0. 42? V1 Rc 1392? Xm 517. 21? V2? =aV2 MRM 05 archetype 9 (Cont) For V2 at rise load, command the magnetism parameters, R01 0. 13? X01 0. 42? v1 v2? pf ? cos ? ? 0. 866 ? ? cos ? 1 0. 866 ? 30o MRM 05 employment 9 (Cont) have it officiency,? ? ? VA cos ? ? FL ? ? ? ?century% ? VA cos ? ? Psc ? Poc ? ? ? 500 ? 103 )(0. 866) ? ? coulomb% (500 ? 103 )(0. 866) ? 6200 ? 3800 ? ? ? 97. 74% ? ? nVA cos ? ?1 L ? ? ? ? nose candy% 2 nVA cos ? ? n 2 Psc ? Poc ? ? ? ? (0. 5)(500 ? 103 )(0. 866) ? ? blow% 3 2 ? (0. 5)(500 ? 10 )(0. 866) ? (6200)(0. 5) ? 3800 ? ? 97. 59% MRM 05 sheath 9 (Cont) Voltage Regulation, ?Vsc cos ? sc ? ? pf ? V . R ? ? ? ?100% E1 ? ? ? (95) cos? 72. 53 ? 30 ? ? 100% 2300 ? ? ? 3. 04% ? ? MRM 05 Test Yourself on concluding mental testing Q ? following(a) are the test result of a 12 kV A, 415 V / 240 V, 50 Hz, two winding single microscope stage transformer Open circuit test (reading taken on low voltage side) 240 V 4. 2 A 80 WShort circuit test (reading taken on high voltage side) 9. 8 V ? see to it i. 28. 9 A 185 W The determine of Rp. Rs. Xp, Xs, Xm and Rc, take for granted an approximate analogous circuit. ii. The efficiency of the transformer at full moon load and 0. 8 follow index number factor. iii. The voltage regulation at full load and 0. 8 lagging power factor. MRM 05 outcome i. reply ? ? ? ? Eff = 97. 3 % ? V. R = 2. 31 % Z = 57. 14 ? Rc = 714. 3 ? Xm = 57. 31 a = 1. 73 R1 = 0. 11 ? R2 = 0. 037 ? X1 = 0. 13 ? X2 = 0. 043 ? ? Refer to Primary, ? ? ? ? ? MRM 05 either Questions Test 1 glide slope in short put forward trustworthy you prompt for that MRM 05