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Test #1 - eff/7t BE 4420 Name MATTHEw Banana MID-SEMESTER...

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Unformatted text preview: eff/7t BE 4420 Name; MATTHEw Banana. MID-SEMESTER TEST NO. 1 Answer 3 out of 5 theoretical questions (#1 - #5) and solve numerical problem (question #6). Check the chosen questions. Question #1 (2 points) 1)‘ Draw the equivalent circuit of single-phase transformer with all parameters and write the appropriate voltage equations for primary and secondary side. 2) Draw the phasor diagram for an inductive load (lagging power factor) with all currents (II, 1;, IFS, and I”) 3) Specify the power losses in a transformer core and write how they relate to the magnetic flux density and frequency. Define (by equation) the efficiency (in terms of output power and power losses) of the transformer. When it reaches the maximum value? Question #2 (2 points) 1) Draw the V2 -— I; characteristics of transformer at constant voltage and frequency supply for inductive, capacitive and resistive loads. 2) Define by equation the voltage regulation. When the voltage regulation is higher: at pure resistive or at pure inductive load? When it takes the negative value? 3) Draw the circuit diagram of an autotransformer. Show how the power is transmitted from primary to the secondary side (write the equations for apparent power of two components or draw the circuit diagrams illustrating the power transfer from the primary to secondary side). PM 1- / N 2/2 Question #3 (2 points) 1) Draw phasor diagrams for positive, negative and zero sequence voltage components. Write the equations that allow calculating unsymmetrical voltages from known symmetrical components. 2) Draw schematically the 3-phase transformer windings connected in A-YN to a 3- phase line. Will zero sequence phase voltage components be induced in the windings if there are unbalanced currents in a secondary winding? Explain why. it” \25" V P05 |T|UE SE QUlENC-E no“ \IA‘ At 11:“ \/ \lBl: 0L7. UN \IQ‘ \lci -’ OK Wu ‘iez [Zoo Alec. ”’1 lim— d“ VHT‘VE 650. 9, LE ‘ [20° UL H l/ “32' DR \lM \lm. \laz: cl?- Um \la a EH16 5E (RULE—NCE (fags-{50 \/\le We Wm Him Him \/ \lpsr W; + drills: hulk“; \lc,= VAo Jr 01-qu ‘l :93“ Um. Esau $EOM€ML€ wtchu—r as ”mango resent-:55 THE A is sweet crewman T0 .W, h 2:580 ea Queuag C-oMPML‘rJT A . stllm Mavis In to cLol-at THIS. tomcat. 00” '2er Sidvtwa CMDJLEM'I' d LEFHJES pT' NSF-law SRLRQCEQ Paar Z r / A ‘ oz/g Question #4 (2 points) 1) Draw the circuit diagram of two-winding single-phase transformer for transient current analysis and write the voltage equations for primary and secondary side in terms of resistances, self-inductances and mutual inductances. 2) Draw the block diagram for single-phase transformer with the supply voltage as an input and currents as an output signals. [2: Ni'-N1 [la 37, 1‘ W Li L1. V1 L/ Mfr.- M \h = a1“ Mfgfi +M0§j mm: (RHLMS + gM race {119131-17 Lag? HA 53-: f7 “(55 : {Ear asthma) + 5M Mal llebm' figDPE / \/ Question #5 (2 points) 9/; 1) Draw the circuit diagrams of instrumentation voltage and current transformers connected to 3-phase lines, 2) Explain using the equivalent circuit why the current transformer with open secondary circuit cannot be connected to the line. 0L1 RG76 $9M. ’71 4: Qonuecreo \rd OPE r4 (42,011 :1— lrd case wrru {Hafi— seep-m3, HEFNV I. “39065 1 HQouéaH 5MA‘LL. QEQS’TAN‘LE ”\J AMMETBR & Vt‘e"; ._._ SMf-YLK... .L boas TD 1’; :59 camera-r xFMrl xi LoMNECT ”‘5 eH-ofl't 012ch 3,—2: '21 3 . Ir. 2:. m (ASE XFM/Z OPéN I 0 I Z: WHrcH poacES ALL. 3:1 1’0 1: <_. 40 I.;:’I,(_ \JJHICH mans HEM? twee-NT b Acmpss LAP-(:75 P-BSISTBN id - CE WHICH ceases A LAQCE 06299 fins 7 Unmet-:6 ”OHM“: woof iJQ-b PoiZ‘I'IMPrL 1’0 " '5 1. CflusE LPf LU” W‘LL 9&6 POWER- Las’f‘é'fi nu THE Coflé WHICH I WILL Has? '1' L419 Arm EufiNTueLLY 'bAmReé Question #5 (2 points) 1) Draw the circuit diagrams of instrumentation voltage and current transformers connected to 3-phase lines, 2) Explain using the equivalent circuit why the current transformer with open secondary Circuit cannot be connected to the line. C7 K _ s , .j Question #6 (4 points) A short-circuit test is performed on a single-phase transformer of 10 kVA, 2200/220 V, 6OH2, and the following results are obtained: V1 = 150 V, I,c = 4.55 A, PSC = 215 W. Determine: 1. The parameters of simplified equivalent circuit, 2. The voltage, which supplies the primary at short-circuited secondary side, to get the rated primary current. 3. Voltage regulation at 70 % full load, 0.7 PF lagging, . 4. Efficiency at 70 % fiill load, 0.7 PF lagging, if the power losses in the core at rated voltage are AP}:e = 100 W, ‘igr. ‘ELN 4C _ — - ———- - k/ f \I DARTD 2““ 135:: 4.55;»: ‘ $S§L \JSL: ‘60 ' . 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